Transmission / Reception System and Transmission / Reception Method

Abstract

To secure favorable communication quality in data transmission using an LDPC code.SOLUTION: In group-wise interleaving, the LDPC code with a code length N of 69120 bits is interleaved in units of 360-bit bit groups. In group-wise deinterleaving, a sequence of the LDPC code after group-wise interleaving is returned to an original sequence. The present technology can be applied, for example, to a case of performing LDPC code-based data transmission and the like.SELECTED DRAWING: Figure 143

Description

Technical Field

[0001] The present technology relates to a transmission and reception system and a transmission and reception method, and more particularly, to a transmission and reception system and a transmission and reception method that can ensure good communication quality, for example, in data transmission using an LDPC code.

Background Art

[0002] LDPC (Low Density Parity Check) codes have high error correction capabilities and have been widely adopted in recent years in transmission systems such as digital broadcasting, for example, DVB (Digital Video Broadcasting)-S.2 in Europe, DVB-T.2, DVB-C.2, and ATSC (Advanced Television Systems Committee) 3.0 in the United States (see, for example, Non-Patent Document 1).

[0003] Recent research has shown that, like turbo codes, LDPC codes can achieve performance close to the Shannon limit as the code length increases. In addition, since LDPC codes have the property that the minimum distance is proportional to the code length, they are characterized by good block error probability characteristics, and further, as an advantage, it can be mentioned that the so-called error floor phenomenon observed in the decoding characteristics of turbo codes and the like hardly occurs.

Prior Art Documents

Non-Patent Documents

[0004]

Non-Patent Document 1

Summary of the Invention

Problems to be Solved by the Invention

[0005] In data transmission using LDPC codes, for example, the LDPC code is used as a symbol of orthogonal modulation (digital modulation) such as QPSK (Quadrature Phase Shift Keying), and the symbol is mapped to a signal point of orthogonal modulation and transmitted.

[0006] Data transmission using LDPC codes as described above is spreading worldwide, and there is a demand to ensure good communication (transmission) quality.

[0007] This technology has been made in view of such a situation, and enables good communication quality to be ensured in data transmission using LDPC codes.

Means for Solving the Problem

[0008] The first transmission method / apparatus of the present technology includes an encoding step / unit that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 2 / 16, a group-wise interleaving step / unit that performs group-wise interleaving of the LDPC code in units of 360-bit bit groups, and a mapping step / unit that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69120-bit LDPC code is changed to the bit group 178, 39, 54, 68, 122, 20, 86, 137, 156, 55, 52, 72, 130, 152, 147, 12, 69, 48, 107, 44, 88, 23, 181, 174, 124, 81, 59, 93, 22, 46, 82, 110, 3, 99, 75, 36, 38, 119, 131, 51, 115, 78, 84, 33, 163, 11, 2, 188, 161, 34, 89, 50, 8, 90, 109, 136, 77, 103, 67, 41, 149, 176, 134, 189, 159, 184, 153, 53, 129, 63, 160, 139, 150, 169, 148, 127, 25, 175, 142, 98, 56, 144, 102, 94, 101, 85, 132, 76, 5, 177, 0, 128, 45, 162, 92, 62, 133, 30, 17, 9, 61, 70, 154, 4, 146, 24, 135, 104, 13, 185, 79, 138, 31, 112, 1, 49, 113, 106, 100, 65, 10, 83, 73, 26, 58, 114, 66, 126, 117, 96, 186, 14, 40, 164, 158, 118, 29, 121, 151, 168, 183, 179, 16, 105, 125, 190, 116, 165, 80, 64, 170, 140, 171, 173, 97, 60, 43, 123, 71, 182, 167, 95, 145, 141, 187, 166, 87, 143, 15, 74, 111, 157, 32, 172, 18, 57, 35, 191, 27, 47, 21, 6, 19, 155, 42, 120, 180, 37, 28, 91, 108, 7 Interleave the sequences, and the check matrix includes an upper-left A matrix of M1 rows and K columns represented by a predetermined value M1 and the information length K = N×r of the LDPC code, a staircase-structured B matrix of M1 rows and M1 columns adjacent to the right of the A matrix, a zero matrix Z of M1 rows and N-K-M1 columns adjacent to the right of the B matrix, a C matrix of N-K-M1 rows and K+M1 columns adjacent to the bottom of the A matrix and the B matrix, and a unit matrix D of N-K-M1 rows and N-K-M1 columns adjacent to the right of the C matrix. The predetermined value M1 is 1800, the A matrix and the C matrix are represented by a check matrix initial value table, and the check matrix initial value table is a table representing the positions of the 1 elements of the A matrix and the C matrix every 360 columns, 1617 1754 1768 2501 6874 12486 12872 16244 18612 19698 21649 30954 33221 33723 34495 37587 38542 41510 42268 52159 59780 206 610 991 2665 4994 5681 12371 17343 25547 26291 26678 27791 27828 32437 33153 35429 39943 45246 46732 53342 60451 119 682 963 3339 6794 7021 7295 8856 8942 10842 11318 14050 14474 27281 28637 29963 37861 42536 43865 48803 59969 175 201 355 5418 7990 10567 10642 12987 16685 18463 21861 24307 25274 27515 39631 40166 43058 47429 55512 55519 59426 117 839 1043 1960 6896 19146 24022 26586 29342 29906 33129 33647 33883 34113 34550 38720 40247 45651 51156 53053 56614 135 236 257 7505 9412 12642 19752 20201 26010 28967 31146 37156 44685 45667 50066 51283 54365 55475 56501 58763 59121 109 840 1573 5523 19968 23924 24644 27064 29410 31276 31526 32173 38175 43570 43722 46655 46660 48353 54025 57319 59818 522 1236 1573 6563 11625 13846 17570 19547 22579 22584 29338 30497 33124 33152 35407 36364 37726 41426 53800 57130 504 1330 1481 13809 15761 20050 26339 27418 29630 32073 33762 34354 36966 43315 47773 47998 48824 50535 53437 55345 348 1244 1492 9626 9655 15638 22727 22971 28357 28841 31523 37543 41100 42372 48983 50354 51434 54574 55031 58193 742 1223 1459 20477 21731 23163 23587 30829 31144 32186 32235 32593 34130 40829 42217 42294 42753 44058 49940 51993 841 860 1534 5878 7083 7113 9658 10508 12871 12964 14023 21055 22680 23927 32701 35168 40986 42139 50708 55350 657 1018 1690 6454 7645 7698 8657 9615 16462 18030 19850 19857 33265 33552 42208 44424 48965 52762 55439 58299 14 511 1376 2586 6797 9409 9599 10784 13076 18509 27363 27667 30262 34043 37043 38143 40246 53811 58872 59250 315 883 1487 2067 7537 8749 10785 11820 15702 20232 22850 23540 30247 41182 44884 50601 52140 55970 57879 58514 256 1442 1534 2342 9734 10789 15334 15356 20334 20433 22923 23521 29391 30553 35406 35643 35701 37968 39541 58097 260 1238 1557 14167 15271 18046 20588 23444 25820 26660 30619 31625 33258 38554 40401 46471 53589 54904 56455 60016 591 885 1463 3411 14043 17083 17372 23029 23365 24691 25527 26389 28621 29999 40343 40359 40394 45685 46209 54887 1119 1411 1664 7879 17732 27000 28506 32237 32445 34100 34926 36470 42848 43126 44117 48780 49519 49592 51901 56580 147 1333 1560 6045 11526 14867 15647 19496 26626 27600 28044 30446 35920 37523 42907 42974 46452 52480 57061 60152 304 591 680 5557 6948 13550 19689 19697 22417 23237 25813 31836 32736 36321 36493 36671 46756 53311 59230 59248 586 777 1018 2393 2817 4057 8068 10632 12430 13193 16433 17344 24526 24902 27693 39301 39776 42300 45215 52149 684 1425 1732 2436 4279 7375 8493 10023 14908 20703 25656 25757 27251 27316 33211 35741 38872 42908 55079 58753 962 981 1773 2814 3799 6243 8163 12655 21226 31370 32506 35372 36697 47037 49095 55400 57506 58743 59678 60422 6229 6484 8795 8981 13576 28622 35526 36922 37284 42155 43443 44080 44446 46649 50824 52987 59033 2742 5176 10231 10336 16729 17273 18474 25875 28227 34891 39826 42595 48600 52542 53023 53372 57331 3512 4163 4725 8375 8585 19795 22844 28615 28649 29481 41484 41657 53255 54222 54229 57258 57647 3358 5239 9423 10858 15636 17937 20678 22427 31220 37069 38770 42079 47256 52442 55152 56964 59169 2243 10090 12309 15437 19426 23065 24872 36192 36336 36949 41387 49915 50155 54338 54422 56561 57984 is a transmission method / apparatus.

[0009] The first receiving apparatus / method of the present technology includes an encoding unit that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 2 / 16, a group-wise interleaving unit that performs group-wise interleaving by interleaving the LDPC code in units of 360-bit bit groups, and a mapping unit that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69120-bit LDPC code is changed to the bit group 178, 39, 54, 68, 122, 20, 86, 137, 156, 55, 52, 72, 130, 152, 147, 12, 69, 48, 107, 44, 88, 23, 181, 174, 124, 81, 59, 93, 22, 46, 82, 110, 3, 99, 75, 36, 38, 119, 131, 51, 115, 78, 84, 33, 163, 11, 2, 188, 161, 34, 89, 50, 8, 90, 109, 136, 77, 103, 67, 41, 149, 176, 134, 189, 159, 184, 153, 53, 129, 63, 160, 139, 150, 169, 148, 127, 25, 175, 142, 98, 56, 144, 102, 94, 101, 85, 132, 76, 5, 177, 0, 128, 45, 162, 92, 62, 133, 30, 17, 9, 61, 70, 154, 4, 146, 24, 135, 104, 13, 185, 79, 138, 31, 112, 1, 49, 113, 106, 100, 65, 10, 83, 73, 26, 58, 114, 66, 126, 117, 96, 186, 14, 40, 164, 158, 118, 29, 121, 151, 168, 183, 179, 16, 105, 125, 190, 116, 165, 80, 64, 170, 140, 171, 173, 97, 60, 43, 123, 71, 182, 167, 95, 145, 141, 187, 166, 87, 143, 15, 74, 111, 157, 32, 172, 18, 57, 35, 191, 27, 47, 21, 6, 19, 155, 42, 120, 180, 37, 28, 91, 108, 7 Interleave the order and, the check matrix is represented by a predetermined value M1 and the information length K = N×r of the LDPC code, an A matrix in the upper left of the check matrix with M1 rows and K columns, a B matrix with a staircase structure adjacent to the right of the A matrix with M1 rows and M1 columns, a Z matrix with M1 rows and N - K - M1 columns which is a zero matrix adjacent to the right of the B matrix, a C matrix with N - K - M1 rows and K + M1 columns adjacent to the bottom of the A matrix and the B matrix, and a D matrix with N - K - M1 rows and N - K - M1 columns which is an identity matrix adjacent to the right of the C matrix. The predetermined value M1 is 1800, the A matrix and the C matrix are represented by a check matrix initial value table, and the check matrix initial value table is a table representing the positions of the 1 elements of the A matrix and the C matrix every 360 columns, 1617 1754 1768 2501 6874 12486 12872 16244 18612 19698 21649 30954 33221 33723 34495 37587 38542 41510 42268 52159 59780 206 610 991 2665 4994 5681 12371 17343 25547 26291 26678 27791 27828 32437 33153 35429 39943 45246 46732 53342 60451 119 682 963 3339 6794 7021 7295 8856 8942 10842 11318 14050 14474 27281 28637 29963 37861 42536 43865 48803 59969 175 201 355 5418 7990 10567 10642 12987 16685 18463 21861 24307 25274 27515 39631 40166 43058 47429 55512 55519 59426 117 839 1043 1960 6896 19146 24022 26586 29342 29906 33129 33647 33883 34113 34550 38720 40247 45651 51156 53053 56614 135 236 257 7505 9412 12642 19752 20201 26010 28967 31146 37156 44685 45667 50066 51283 54365 55475 56501 58763 59121 109 840 1573 5523 19968 23924 24644 27064 29410 31276 31526 32173 38175 43570 43722 46655 46660 48353 54025 57319 59818 522 1236 1573 6563 11625 13846 17570 19547 22579 22584 29338 30497 33124 33152 35407 36364 37726 41426 53800 57130 504 1330 1481 13809 15761 20050 26339 27418 29630 32073 33762 34354 36966 43315 47773 47998 48824 50535 53437 55345 348 1244 1492 9626 9655 15638 22727 22971 28357 28841 31523 37543 41100 42372 48983 50354 51434 54574 55031 58193 742 1223 1459 20477 21731 23163 23587 30829 31144 32186 32235 32593 34130 40829 42217 42294 42753 44058 49940 51993 841 860 1534 5878 7083 7113 9658 10508 12871 12964 14023 21055 22680 23927 32701 35168 40986 42139 50708 55350 657 1018 1690 6454 7645 7698 8657 9615 16462 18030 19850 19857 33265 33552 42208 44424 48965 52762 55439 58299 14 511 1376 2586 6797 9409 9599 10784 13076 18509 27363 27667 30262 34043 37043 38143 40246 53811 58872 59250 315 883 1487 2067 7537 8749 10785 11820 15702 20232 22850 23540 30247 41182 44884 50601 52140 55970 57879 58514 256 1442 1534 2342 9734 10789 15334 15356 20334 20433 22923 23521 29391 30553 35406 35643 35701 37968 39541 58097 260 1238 1557 14167 15271 18046 20588 23444 25820 26660 30619 31625 33258 38554 40401 46471 53589 54904 56455 60016 591 885 1463 3411 14043 17083 17372 23029 23365 24691 25527 26389 28621 29999 40343 40359 40394 45685 46209 54887 1119 1411 1664 7879 17732 27000 28506 32237 32445 34100 34926 36470 42848 43126 44117 48780 49519 49592 51901 56580 147 1333 1560 6045 11526 14867 15647 19496 26626 27600 28044 30446 35920 37523 42907 42974 46452 52480 57061 60152 304 591 680 5557 6948 13550 19689 19697 22417 23237 25813 31836 32736 36321 36493 36671 46756 53311 59230 59248 586 777 1018 2393 2817 4057 8068 10632 12430 13193 16433 17344 24526 24902 27693 39301 39776 42300 45215 52149 684 1425 1732 2436 4279 7375 8493 10023 14908 20703 25656 25757 27251 27316 33211 35741 38872 42908 55079 58753 962 981 1773 2814 3799 6243 8163 12655 21226 31370 32506 35372 36697 47037 49095 55400 57506 58743 59678 60422 6229 6484 8795 8981 13576 28622 35526 36922 37284 42155 43443 44080 44446 46649 50824 52987 59033 2742 5176 10231 10336 16729 17273 18474 25875 28227 34891 39826 42595 48600 52542 53023 53372 57331 3512 4163 4725 8375 8585 19795 22844 28615 28649 29481 41484 41657 53255 54222 54229 57258 57647 3358 5239 9423 10858 15636 17937 20678 22427 31220 37069 38770 42079 47256 52442 55152 56964 59169 2243 10090 12309 15437 19426 23065 24872 36192 36336 36949 41387 49915 50155 54338 54422 56561 57984 A receiving apparatus / method including a group-wise de-interleaving unit / step that restores the order of the LDPC code after group-wise interleaving to the original order from data transmitted from a transmitting apparatus that is .

[0010] The second transmitting method / apparatus of the present technology includes an encoding step / unit that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69120 bits and an encoding rate r of 4 / 16, a group-wise interleaving step / unit that performs group-wise interleaving of the LDPC code in units of 360-bit bit groups, and a mapping step / unit that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69120-bit LDPC code is changed to the bit group 139, 112, 159, 99, 87, 70, 175, 161, 51, 56, 174, 143, 12, 36, 77, 60, 155, 167, 160, 73, 127, 82, 123, 145, 8, 76, 164, 178, 144, 86, 7, 124, 27, 187, 130, 162, 191, 182, 16, 106, 141, 38, 72, 179, 111, 29, 59, 183, 66, 52, 43, 121, 20, 11, 190, 92, 55, 166, 94, 138, 1, 122, 171, 119, 109, 58, 23, 31, 163, 53, 13, 188, 100, 158, 156, 136, 34, 118, 185, 10, 25, 126, 104, 30, 83, 47, 146, 63, 134, 39, 21, 44, 151, 28, 22, 79, 110, 71, 90, 2, 103, 42, 35, 5, 57, 4, 0, 107, 37, 54, 18, 128, 148, 129, 26, 75, 120, 19, 116, 117, 147, 114, 48, 96, 61, 46, 88, 67, 135, 65, 180, 9, 74, 176, 6, 149, 49, 50, 125, 64, 169, 168, 157, 153, 24, 108, 89, 98, 33, 132, 93, 40, 154, 62, 142, 41, 69, 105, 189, 115, 152, 45, 133, 3, 95, 17, 186, 184, 85, 165, 32, 173, 113, 172, 78, 181, 150, 170, 102, 97, 140, 81, 91, 15, 137, 101, 80, 68, 14, 177, 131, 84 Interleave the order and include an M1-row K-column inspection matrix represented by a predetermined value M1 and the information length K = N×r of the LDPC code, including an A matrix at the upper left of the inspection matrix, a stepped B matrix adjacent to the right of the A matrix with M1 rows and M1 columns, a zero matrix Z with M1 rows and N - K - M1 columns adjacent to the right of the B matrix, a C matrix adjacent to the bottom of the A matrix and the B matrix with N - K - M1 rows and K + M1 columns, and a unit matrix D with N - K - M1 rows and N - K - M1 columns adjacent to the right of the C matrix. The predetermined value M1 is 1800. The A matrix and the C matrix are represented by an inspection matrix initial value table, and the inspection matrix initial value table is a table representing the positions of the 1 elements of the A matrix and the C matrix every 360 columns. 561 825 1718 4745 7515 13041 13466 18039 19065 21821 32596 32708 35323 36399 36450 41124 43036 43218 43363 44875 49948 56 102 1779 2427 5381 8768 15336 26473 35717 38748 39066 45002 50720 694 1150 1533 2177 5801 6610 7601 16657 18949 33472 47746 49581 50668 90 1122 1472 2085 2593 4986 8200 9175 15502 44084 46057 48546 50487 521 619 708 6915 8978 14211 17426 23058 23463 27440 29822 33443 42871 449 912 1471 8058 9344 11928 20533 20600 20737 26557 26970 27616 33791 355 700 1528 6478 9588 10790 20992 33122 34283 41295 43439 46249 47763 997 1543 1679 5874 7973 7975 11113 28275 28812 29864 35070 36864 50676 85 326 1392 4186 10855 11005 12913 19263 22984 31733 33787 37567 48173 986 1144 1508 19864 28918 29117 33609 36452 47975 48432 48842 49274 51533 437 1190 1413 3814 6695 17541 22060 25845 28431 37453 38912 44170 49231 327 1171 1204 6952 11880 16469 25058 28956 31523 36770 40189 43422 46481 123 605 619 8118 8455 19550 20529 21762 21950 28485 30946 34755 34765 113 896 971 6400 27059 33383 34537 35827 38796 40582 42594 43098 48525 162 854 1015 2938 10659 12085 13040 32772 33023 35878 49674 51060 51333 100 452 1703 1932 4208 5127 12086 14549 16084 17890 20870 41364 48498 1569 1633 1666 12957 18611 22499 38418 38719 42135 46815 48274 50947 51387 119 691 1190 2457 3865 7468 12512 30782 31811 33508 36586 41789 47426 867 1117 1666 4376 13263 13466 33524 37440 38136 39800 41454 41620 42510 378 900 1754 16303 25369 27103 28360 30958 35316 44165 46682 47016 50004 1321 1549 1570 16276 17284 19431 23482 23920 27386 27517 46253 48617 50118 37 383 1418 15792 22551 28843 36532 36718 38805 39226 45671 47712 51769 150 787 1441 17828 19396 21576 21805 24048 31868 32891 42486 43020 45492 1095 1214 1744 2445 5773 10209 11526 29604 30121 36526 45786 47376 49366 412 448 1281 11164 14501 15538 15773 23305 31960 32721 40744 45731 50269 183 626 837 4491 12237 13705 15177 15973 21266 25374 41232 44147 50529 618 1550 1594 5474 9260 16552 18122 26061 30420 30922 32661 34390 43236 135 496 757 9327 15659 20738 24327 26688 29063 38993 46155 49532 50001 64 126 1714 5561 8921 11300 12688 14454 16857 19585 20528 24107 27252 528 687 1730 9735 11737 16396 19200 33712 34271 38241 42027 44471 45581 69 646 1447 8603 19706 22153 22398 23840 24638 27254 29107 30368 41419 673 845 1285 9100 11064 14804 15425 17357 27248 31223 32410 35444 48018 124 1531 1677 3672 3673 3786 8886 9557 10003 11053 13053 22458 25413 102 1154 1758 5721 6034 14567 17772 28670 33380 34284 35356 47480 48123 48 351 760 2078 9797 22956 26120 34119 39658 41039 45237 47861 49022 254 445 841 6835 18340 19021 20053 22874 32639 36679 42004 45696 49530 16 802 903 6218 16206 22068 23049 28201 30377 33947 44358 44739 49303 153 1542 1629 7992 29900 34931 36927 38651 39981 41085 41327 50185 51484 525 1291 1765 9425 20271 31229 37444 38996 39145 41711 43188 45203 51255 2 244 1648 12321 14991 17426 18456 20126 29915 32581 38880 39516 49013 23 452 705 9414 11862 13764 18179 35458 37892 40471 46041 46494 48746 509 1201 1328 8921 9867 10947 19476 22693 32636 34301 38356 39238 51797 246 249 1390 12438 13266 24060 33628 37130 42923 43298 43709 43721 45413 117 257 748 9419 9461 11350 12790 16724 33147 34168 34683 37884 42699 619 646 740 7468 7604 8152 16296 19120 27614 27748 40170 40289 49366 914 1360 1716 10817 17672 18919 26146 29631 40903 46716 49502 51576 51657 68 702 1552 10431 10925 12856 24516 26440 30834 31179 32277 35019 44108 588 880 1524 6641 9453 9653 13679 14488 20714 25865 42217 42637 48312 6380 12240 12558 12816 21460 24206 26129 28555 41616 51767 8889 16221 21629 23476 33954 40572 43494 44666 44885 49813 16938 17727 17913 18898 21754 32515 35686 36920 39898 43560 9170 11747 14681 22874 24537 24685 26989 28947 33592 34621 2427 10241 29649 30522 37700 37789 41656 44020 49801 51268 It is a transmission method / apparatus.

[0011] The second receiving apparatus / method of the present technology includes an encoding unit that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 4 / 16, a group-wise interleaving unit that performs group-wise interleaving by interleaving the LDPC code in units of 360-bit bit groups, and a mapping unit that maps the LDPC code in units of 10 bits to any one of 1,024 signal points of UC (Uniform Constellation) of 1,024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 139, 112, 159, 99, 87, 70, 175, 161, 51, 56, 174, 143, 12, 36, 77, 60, 155, 167, 160, 73, 127, 82, 123, 145, 8, 76, 164, 178, 144, 86, 7, 124, 27, 187, 130, 162, 191, 182, 16, 106, 141, 38, 72, 179, 111, 29, 59, 183, 66, 52, 43, 121, 20, 11, 190, 92, 55, 166, 94, 138, 1, 122, 171, 119, 109, 58, 23, 31, 163, 53, 13, 188, 100, 158, 156, 136, 34, 118, 185, 10, 25, 126, 104, 30, 83, 47, 146, 63, 134, 39, 21, 44, 151, 28, 22, 79, 110, 71, 90, 2, 103, 42, 35, 5, 57, 4, 0, 107, 37, 54, 18, 128, 148, 129, 26, 75, 120, 19, 116, 117, 147, 114, 48, 96, 61, 46, 88, 67, 135, 65, 180, 9, 74, 176, 6, 149, 49, 50, 125, 64, 169, 168, 157, 153, 24, 108, 89, 98, 33, 132, 93, 40, 154, 62, 142, 41, 69, 105, 189, 115, 152, 45, 133, 3, 95, 17, 186, 184, 85, 165, 32, 173, 113, 172, 78, 181, 150, 170, 102, 97, 140, 81, 91, 15, 137, 101, 80, 68, 14, 177, 131, 84 Interleave the order and, the check matrix is represented by a predetermined value M1 and the information length K = N×r of the LDPC code, and includes an A matrix in the upper left of the check matrix with M1 rows and K columns, a B matrix with a staircase structure adjacent to the right of the A matrix with M1 rows and M1 columns, a Z matrix with M1 rows and N - K - M1 columns which is a zero matrix adjacent to the right of the B matrix, a C matrix with N - K - M1 rows and K + M1 columns adjacent to the bottom of the A matrix and the B matrix, and a D matrix with N - K - M1 rows and N - K - M1 columns which is an identity matrix adjacent to the right of the C matrix. The predetermined value M1 is 1800, the A matrix and the C matrix are represented by a check matrix initial value table, and the check matrix initial value table is a table representing the positions of the 1 elements of the A matrix and the C matrix every 360 columns, 561 825 1718 4745 7515 13041 13466 18039 19065 21821 32596 32708 35323 36399 36450 41124 43036 43218 43363 44875 49948 56 102 1779 2427 5381 8768 15336 26473 35717 38748 39066 45002 50720 694 1150 1533 2177 5801 6610 7601 16657 18949 33472 47746 49581 50668 90 1122 1472 2085 2593 4986 8200 9175 15502 44084 46057 48546 50487 521 619 708 6915 8978 14211 17426 23058 23463 27440 29822 33443 42871 449 912 1471 8058 9344 11928 20533 20600 20737 26557 26970 27616 33791 355 700 1528 6478 9588 10790 20992 33122 34283 41295 43439 46249 47763 997 1543 1679 5874 7973 7975 11113 28275 28812 29864 35070 36864 50676 85 326 1392 4186 10855 11005 12913 19263 22984 31733 33787 37567 48173 986 1144 1508 19864 28918 29117 33609 36452 47975 48432 48842 49274 51533 437 1190 1413 3814 6695 17541 22060 25845 28431 37453 38912 44170 49231 327 1171 1204 6952 11880 16469 25058 28956 31523 36770 40189 43422 46481 123 605 619 8118 8455 19550 20529 21762 21950 28485 30946 34755 34765 113 896 971 6400 27059 33383 34537 35827 38796 40582 42594 43098 48525 162 854 1015 2938 10659 12085 13040 32772 33023 35878 49674 51060 51333 100 452 1703 1932 4208 5127 12086 14549 16084 17890 20870 41364 48498 1569 1633 1666 12957 18611 22499 38418 38719 42135 46815 48274 50947 51387 119 691 1190 2457 3865 7468 12512 30782 31811 33508 36586 41789 47426 867 1117 1666 4376 13263 13466 33524 37440 38136 39800 41454 41620 42510 378 900 1754 16303 25369 27103 28360 30958 35316 44165 46682 47016 50004 1321 1549 1570 16276 17284 19431 23482 23920 27386 27517 46253 48617 50118 37 383 1418 15792 22551 28843 36532 36718 38805 39226 45671 47712 51769 150 787 1441 17828 19396 21576 21805 24048 31868 32891 42486 43020 45492 1095 1214 1744 2445 5773 10209 11526 29604 30121 36526 45786 47376 49366 412 448 1281 11164 14501 15538 15773 23305 31960 32721 40744 45731 50269 183 626 837 4491 12237 13705 15177 15973 21266 25374 41232 44147 50529 618 1550 1594 5474 9260 16552 18122 26061 30420 30922 32661 34390 43236 135 496 757 9327 15659 20738 24327 26688 29063 38993 46155 49532 50001 64 126 1714 5561 8921 11300 12688 14454 16857 19585 20528 24107 27252 528 687 1730 9735 11737 16396 19200 33712 34271 38241 42027 44471 45581 69 646 1447 8603 19706 22153 22398 23840 24638 27254 29107 30368 41419 673 845 1285 9100 11064 14804 15425 17357 27248 31223 32410 35444 48018 124 1531 1677 3672 3673 3786 8886 9557 10003 11053 13053 22458 25413 102 1154 1758 5721 6034 14567 17772 28670 33380 34284 35356 47480 48123 48 351 760 2078 9797 22956 26120 34119 39658 41039 45237 47861 49022 254 445 841 6835 18340 19021 20053 22874 32639 36679 42004 45696 49530 16 802 903 6218 16206 22068 23049 28201 30377 33947 44358 44739 49303 153 1542 1629 7992 29900 34931 36927 38651 39981 41085 41327 50185 51484 525 1291 1765 9425 20271 31229 37444 38996 39145 41711 43188 45203 51255 2 244 1648 12321 14991 17426 18456 20126 29915 32581 38880 39516 49013 23 452 705 9414 11862 13764 18179 35458 37892 40471 46041 46494 48746 509 1201 1328 8921 9867 10947 19476 22693 32636 34301 38356 39238 51797 246 249 1390 12438 13266 24060 33628 37130 42923 43298 43709 43721 45413 117 257 748 9419 9461 11350 12790 16724 33147 34168 34683 37884 42699 619 646 740 7468 7604 8152 16296 19120 27614 27748 40170 40289 49366 914 1360 1716 10817 17672 18919 26146 29631 40903 46716 49502 51576 51657 68 702 1552 10431 10925 12856 24516 26440 30834 31179 32277 35019 44108 588 880 1524 6641 9453 9653 13679 14488 20714 25865 42217 42637 48312 6380 12240 12558 12816 21460 24206 26129 28555 41616 51767 8889 16221 21629 23476 33954 40572 43494 44666 44885 49813 16938 17727 17913 18898 21754 32515 35686 36920 39898 43560 9170 11747 14681 22874 24537 24685 26989 28947 33592 34621 2427 10241 29649 30522 37700 37789 41656 44020 49801 51268 A receiving device / method comprising a group-wise deinterleaving unit / step for restoring the order of the LDPC code after group-wise interleaving to its original order from the data transmitted from a transmitting device.

[0012] The third transmission method / apparatus of the present technology includes an encoding step / section that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 6 / 16, a group-wise interleaving step / section that performs group-wise interleaving by interleaving the LDPC code in units of 360-bit bit groups, and a mapping step / section that maps the LDPC code in units of 10 bits to any one of 1,024 signal points of UC (Uniform Constellation) of 1,024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 21, 20, 172, 86, 178, 25, 104, 133, 17, 106, 191, 68, 80, 190, 129, 29, 125, 108, 147, 23, 94, 167, 27, 61, 12, 166, 131, 120, 159, 28, 7, 62, 134, 59, 78, 0, 121, 149, 6, 5, 143, 171, 153, 161, 186, 35, 92, 113, 55, 163, 16, 54, 93, 79, 37, 44, 75, 182, 127, 148, 179, 95, 169, 141, 38, 168, 128, 56, 31, 57, 175, 140, 164, 24, 177, 88, 51, 112, 49, 185, 170, 87, 32, 60, 65, 77, 89, 3, 18, 116, 184, 45, 109, 53, 160, 9, 100, 8, 111, 69, 189, 36, 173, 33, 72, 144, 183, 115, 137, 98, 90, 142, 30, 154, 180, 122, 155, 130, 83, 138, 14, 41, 150, 132, 70, 152, 117, 11, 4, 124, 15, 42, 181, 58, 10, 22, 145, 99, 126, 107, 66, 174, 39, 13, 97, 63, 123, 84, 85, 67, 76, 158, 71, 46, 118, 81, 162, 146, 135, 2, 73, 50, 114, 82, 103, 188, 74, 101, 157, 151, 91, 119, 102, 48, 1, 40, 43, 64, 156, 34, 110, 52, 96, 136, 139, 165, 19, 176, 187, 47, 26, 105 Interleave the order and the interleaving, and the parity check matrix is composed of a predetermined value M1, the information length K = N×r of the LDPC code, an A matrix of M1 rows and K columns at the upper left of the parity check matrix, a staircase-structured B matrix of M1 rows and M1 columns adjacent to the right of the A matrix, a zero matrix Z matrix of M1 rows and N - K - M1 columns adjacent to the right of the B matrix, a C matrix of N - K - M1 rows and K + M1 columns adjacent to the lower side of the A matrix and the B matrix, and a unit matrix D matrix of N - K - M1 rows and N - K - M1 columns adjacent to the right of the C matrix. The predetermined value M1 is 1800, the A matrix and the C matrix are represented by a parity check matrix initial value table, and the parity check matrix initial value table is a table that represents the positions of the 1 elements of the A matrix and the C matrix every 360 columns, 608 1394 3635 14404 15203 19848 22161 23175 26651 31945 41227 481 570 11088 11673 11866 17145 17247 17564 21607 25992 31286 1207 1257 1870 8472 8855 10511 15656 17064 22720 28352 30914 1171 1585 6218 7621 10121 11374 13184 22714 27207 27959 38572 244 548 2073 4937 7509 11840 12850 18762 25618 27902 37150 15 1352 7060 7886 8151 10574 14172 15258 24838 30827 35337 1009 1651 13300 13958 26240 29983 32340 40743 41553 42475 42873 638 1405 5544 6797 10001 14934 24766 35758 40719 41787 42342 1467 1481 3202 11324 14048 15217 17608 22544 26736 32073 33405 1274 1343 3576 4166 8712 10756 21175 26866 37021 40341 42064 1232 1590 4409 8705 13307 28481 30893 36031 36780 37697 39149 189 1678 9943 10774 11765 25520 26133 27351 27353 40664 41534 125 1421 5009 9365 12792 15933 16231 25975 27076 27997 32429 1361 1764 5376 11071 14456 16324 20318 26168 28445 30392 34235 1017 1303 3312 6738 7813 18149 25506 29032 36789 38742 43116 463 967 10876 13874 14303 16789 21656 26555 38738 39195 40668 630 1104 3029 3165 5157 12880 14175 16498 35121 38917 40944 716 1054 10011 11739 16913 19396 20892 23370 24392 27614 38467 1081 1238 2872 10259 13618 16943 17363 23570 29721 32411 38969 775 1002 2978 9202 16618 22697 30716 31750 36517 37294 40454 25 497 10687 13308 15302 17525 17539 21865 22279 24516 26992 781 878 6426 8551 12328 21375 27626 28192 29731 35423 35606 729 1734 3479 6850 14347 14776 21998 33617 34690 38597 38704 122 1378 1660 7448 7659 11900 13039 13796 19908 504 716 1551 5655 6245 8365 9825 16627 29100 88 900 1057 2620 16729 17278 17444 26106 26587 30 1697 1736 8718 11664 20885 27043 42569 42913 293 634 1188 4005 5266 6205 26756 30207 37757 254 755 1187 4631 13433 25055 28354 28583 30446 316 1381 1522 3131 4340 27284 28246 28282 43174 84 293 645 2148 7925 13104 25010 36836 39033 982 1486 1660 4287 5335 18350 26913 30774 31280 418 1028 1039 3334 4577 6553 7011 17259 31922 1324 1361 1690 5991 7740 16880 18479 25713 31823 735 1322 1727 8629 14655 15815 16762 23263 36859 19 928 1561 11161 12894 14226 21331 41128 41883 327 940 1004 13616 15894 31400 34106 34443 37957 576 953 1226 2122 4900 5002 10248 25476 30787 249 632 1240 5432 23019 29225 31719 36658 41360 980 1154 1783 4351 10245 23347 27442 28328 38555 581 863 1552 5057 7572 14544 20482 29482 31672 4 502 1450 4883 5176 6824 10430 32680 39581 81 761 1558 2269 5391 13213 24184 25523 39429 1085 1163 1244 7694 9125 17387 22223 26343 37933 204 1127 1483 18302 19939 20576 31599 32619 42911 345 387 591 8727 18080 20628 32251 34562 42821 957 1126 1133 4099 12272 15595 20906 23606 34564 409 1310 1335 2761 11952 26853 27941 29262 31647 329 818 1527 3890 5238 8742 15586 28739 43015 231 1158 1677 4314 15937 17526 18391 22963 39232 34 275 526 2975 4742 16109 17346 29145 37673 497 735 1261 7468 8769 17342 19763 32646 33497 879 1233 1633 11612 22941 23723 31969 35571 39510 886 954 1355 5532 8283 26965 29267 30820 40402 356 1199 1452 8833 14845 21722 23840 26539 27970 553 1570 1732 8249 16820 23181 23234 30754 40399 457 1304 1698 2774 11357 32906 34484 38700 41799 456 579 1155 23844 27261 29172 30980 35000 40984 301 1290 1782 6798 9735 23655 31040 35554 36366 228 483 561 12346 16698 32688 34518 38648 41677 35 184 997 4915 7077 9878 16772 26263 27270 181 193 1255 7548 17103 34511 36590 38107 42065 697 1024 1541 2164 15638 20061 32499 32667 32732 654 968 1632 3215 4901 6286 12414 13963 29636 89 150 450 5771 10863 29809 36886 37914 42983 517 1046 1153 5458 18093 25579 31084 37779 42050 345 914 1372 4548 6720 13678 13755 15422 41938 301 518 1107 3603 6076 9265 19580 41645 42621 155 1013 1441 10166 10545 22042 30084 33026 34505 899 1308 1766 22228 24520 24589 30833 32126 37147 177 230 349 6309 9642 25713 30455 34964 40524 802 1364 1703 3573 17317 20364 22849 24265 24925 3952 10609 11011 16296 31430 39995 40207 41606 42424 16548 19896 22579 23043 23126 24141 34331 34959 37990 12197 15244 22990 23110 25507 30011 37681 38902 39432 2292 11871 15562 22304 33059 35126 39158 41206 41866 3497 7847 11510 16212 19408 26780 27967 33953 34451 is a transmission method / apparatus.

[0013] The third receiving apparatus / method of the present technology has an encoding unit that performs LDPC encoding based on a parity-check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 6 / 16, a group-wise interleaving unit that performs group-wise interleaving by interleaving the LDPC code in units of 360-bit bit groups, and a mapping unit that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is taken as the bit group i, and the order of bit groups 0 to 191 of the 69120-bit LDPC code is changed to bit group 21, 20, 172, 86, 178, 25, 104, 133, 17, 106, 191, 68, 80, 190, 129, 29, 125, 108, 147, 23, 94, 167, 27, 61, 12, 166, 131, 120, 159, 28, 7, 62, 134, 59, 78, 0, 121, 149, 6, 5, 143, 171, 153, 161, 186, 35, 92, 113, 55, 163, 16, 54, 93, 79, 37, 44, 75, 182, 127, 148, 179, 95, 169, 141, 38, 168, 128, 56, 31, 57, 175, 140, 164, 24, 177, 88, 51, 112, 49, 185, 170, 87, 32, 60, 65, 77, 89, 3, 18, 116, 184, 45, 109, 53, 160, 9, 100, 8, 111, 69, 189, 36, 173, 33, 72, 144, 183, 115, 137, 98, 90, 142, 30, 154, 180, 122, 155, 130, 83, 138, 14, 41, 150, 132, 70, 152, 117, 11, 4, 124, 15, 42, 181, 58, 10, 22, 145, 99, 126, 107, 66, 174, 39, 13, 97, 63, 123, 84, 85, 67, 76, 158, 71, 46, 118, 81, 162, 146, 135, 2, 73, 50, 114, 82, 103, 188, 74, 101, 157, 151, 91, 119, 102, 48, 1, 40, 43, 64, 156, 34, 110, 52, 96, 136, 139, 165, 19, 176, 187, 47, 26, 105 Interleave the order and include the left upper A matrix of M1 rows and K columns, the B matrix with a staircase structure adjacent to the right of the A matrix of M1 rows and M1 columns, the Z matrix which is a zero matrix of M1 rows and N - K - M1 columns adjacent to the right of the B matrix, the C matrix of N - K - M1 rows and K + M1 columns adjacent to the bottom of the A matrix and the B matrix, and the D matrix which is an identity matrix of N - K - M1 rows and N - K - M1 columns adjacent to the right of the C matrix in the check matrix, where the check matrix is represented by a predetermined value M1 and the information length K = N×r of the LDPC code. The predetermined value M1 is 1800, and the A matrix and the C matrix are represented by a check matrix initial value table, and the check matrix initial value table is a table representing the positions of the 1 elements of the A matrix and the C matrix every 360 columns. 608 1394 3635 14404 15203 19848 22161 23175 26651 31945 41227 481 570 11088 11673 11866 17145 17247 17564 21607 25992 31286 1207 1257 1870 8472 8855 10511 15656 17064 22720 28352 30914 1171 1585 6218 7621 10121 11374 13184 22714 27207 27959 38572 244 548 2073 4937 7509 11840 12850 18762 25618 27902 37150 15 1352 7060 7886 8151 10574 14172 15258 24838 30827 35337 1009 1651 13300 13958 26240 29983 32340 40743 41553 42475 42873 638 1405 5544 6797 10001 14934 24766 35758 40719 41787 42342 1467 1481 3202 11324 14048 15217 17608 22544 26736 32073 33405 1274 1343 3576 4166 8712 10756 21175 26866 37021 40341 42064 1232 1590 4409 8705 13307 28481 30893 36031 36780 37697 39149 189 1678 9943 10774 11765 25520 26133 27351 27353 40664 41534 125 1421 5009 9365 12792 15933 16231 25975 27076 27997 32429 1361 1764 5376 11071 14456 16324 20318 26168 28445 30392 34235 1017 1303 3312 6738 7813 18149 25506 29032 36789 38742 43116 463 967 10876 13874 14303 16789 21656 26555 38738 39195 40668 630 1104 3029 3165 5157 12880 14175 16498 35121 38917 40944 716 1054 10011 11739 16913 19396 20892 23370 24392 27614 38467 1081 1238 2872 10259 13618 16943 17363 23570 29721 32411 38969 775 1002 2978 9202 16618 22697 30716 31750 36517 37294 40454 25 497 10687 13308 15302 17525 17539 21865 22279 24516 26992 781 878 6426 8551 12328 21375 27626 28192 29731 35423 35606 729 1734 3479 6850 14347 14776 21998 33617 34690 38597 38704 122 1378 1660 7448 7659 11900 13039 13796 19908 504 716 1551 5655 6245 8365 9825 16627 29100 88 900 1057 2620 16729 17278 17444 26106 26587 30 1697 1736 8718 11664 20885 27043 42569 42913 293 634 1188 4005 5266 6205 26756 30207 37757 254 755 1187 4631 13433 25055 28354 28583 30446 316 1381 1522 3131 4340 27284 28246 28282 43174 84 293 645 2148 7925 13104 25010 36836 39033 982 1486 1660 4287 5335 18350 26913 30774 31280 418 1028 1039 3334 4577 6553 7011 17259 31922 1324 1361 1690 5991 7740 16880 18479 25713 31823 735 1322 1727 8629 14655 15815 16762 23263 36859 19 928 1561 11161 12894 14226 21331 41128 41883 327 940 1004 13616 15894 31400 34106 34443 37957 576 953 1226 2122 4900 5002 10248 25476 30787 249 632 1240 5432 23019 29225 31719 36658 41360 980 1154 1783 4351 10245 23347 27442 28328 38555 581 863 1552 5057 7572 14544 20482 29482 31672 4 502 1450 4883 5176 6824 10430 32680 39581 81 761 1558 2269 5391 13213 24184 25523 39429 1085 1163 1244 7694 9125 17387 22223 26343 37933 204 1127 1483 18302 19939 20576 31599 32619 42911 345 387 591 8727 18080 20628 32251 34562 42821 957 1126 1133 4099 12272 15595 20906 23606 34564 409 1310 1335 2761 11952 26853 27941 29262 31647 329 818 1527 3890 5238 8742 15586 28739 43015 231 1158 1677 4314 15937 17526 18391 22963 39232 34 275 526 2975 4742 16109 17346 29145 37673 497 735 1261 7468 8769 17342 19763 32646 33497 879 1233 1633 11612 22941 23723 31969 35571 39510 886 954 1355 5532 8283 26965 29267 30820 40402 356 1199 1452 8833 14845 21722 23840 26539 27970 553 1570 1732 8249 16820 23181 23234 30754 40399 457 1304 1698 2774 11357 32906 34484 38700 41799 456 579 1155 23844 27261 29172 30980 35000 40984 301 1290 1782 6798 9735 23655 31040 35554 36366 228 483 561 12346 16698 32688 34518 38648 41677 35 184 997 4915 7077 9878 16772 26263 27270 181 193 1255 7548 17103 34511 36590 38107 42065 697 1024 1541 2164 15638 20061 32499 32667 32732 654 968 1632 3215 4901 6286 12414 13963 29636 89 150 450 5771 10863 29809 36886 37914 42983 517 1046 1153 5458 18093 25579 31084 37779 42050 345 914 1372 4548 6720 13678 13755 15422 41938 301 518 1107 3603 6076 9265 19580 41645 42621 155 1013 1441 10166 10545 22042 30084 33026 34505 899 1308 1766 22228 24520 24589 30833 32126 37147 177 230 349 6309 9642 25713 30455 34964 40524 802 1364 1703 3573 17317 20364 22849 24265 24925 3952 10609 11011 16296 31430 39995 40207 41606 42424 16548 19896 22579 23043 23126 24141 34331 34959 37990 12197 15244 22990 23110 25507 30011 37681 38902 39432 2292 11871 15562 22304 33059 35126 39158 41206 41866 3497 7847 11510 16212 19408 26780 27967 33953 34451 A receiving device / method comprising a group-wise deinterleaving unit / step for restoring the order of the LDPC code after group-wise interleaving to its original order from data transmitted from a transmitting device.

[0014] The fourth transmitting method / apparatus of the present technology includes an encoding step / unit for performing LDPC encoding based on a check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 8 / 16, a group-wise interleaving step / unit for interleaving the LDPC code in units of 360-bit bit groups, and a mapping step / unit for mapping the LDPC code in units of 10 bits to any one of 1024 signal points of a UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of bit groups 0 to 191 of the 69120-bit LDPC code is 160, 7, 29, 39, 110, 189, 140, 143, 163, 130, 173, 71, 191, 106, 60, 62, 149, 135, 9, 147, 124, 152, 55, 116, 85, 112, 14, 20, 79, 103, 156, 167, 19, 45, 73, 26, 159, 44, 86, 76, 56, 12, 109, 117, 128, 67, 150, 151, 31, 27, 133, 17, 120, 153, 108, 180, 52, 187, 98, 63, 176, 186, 179, 113, 161, 32, 24, 111, 41, 95, 38, 10, 154, 97, 141, 2, 127, 40, 105, 34, 11, 185, 155, 61, 114, 74, 158, 162, 5, 177, 43, 51, 148, 137, 28, 181, 171, 13, 104, 42, 168, 93, 172, 144, 80, 123, 89, 81, 68, 75, 78, 121, 53, 65, 122, 142, 157, 107, 136, 66, 90, 23, 8, 1, 77, 54, 125, 174, 35, 88, 82, 134, 101, 131, 33, 50, 87, 36, 15, 47, 83, 18, 6, 21, 30, 94, 72, 145, 138, 184, 69, 84, 58, 49, 16, 48, 70, 183, 3, 92, 25, 115, 0, 182, 139, 91, 146, 102, 96, 100, 119, 129, 178, 46, 37, 57, 118, 126, 59, 165, 170, 190, 188, 175, 166, 99, 4, 22, 132, 164, 64, 169 Interleave the sequences, the LDPC code includes information bits and parity bits, the check matrix includes an information matrix part corresponding to the information bits and a parity matrix part corresponding to the parity bits, the information matrix part is represented by a check matrix initial value table, and the check matrix initial value table is a table that represents the positions of the 1 elements of the information matrix part every 360 columns, 1850 4176 4190 7294 8168 8405 9258 9710 13440 16304 16600 18184 18834 19899 22513 25068 26659 27137 27232 29186 29667 30549 31428 33634 2477 2543 5094 8081 9573 10269 11276 11439 13016 13327 16717 18042 19362 19721 20089 20425 20503 21396 24677 24722 28703 32486 32759 33630 1930 2158 2315 2683 3818 4883 5252 5505 8760 9580 11867 13117 14566 15639 17273 18820 21069 24945 25667 26785 30678 31271 33003 33244 1279 1491 2038 2347 2432 4336 4905 6588 7507 7666 8775 9172 10405 12249 12270 12373 12936 13046 13364 15130 17597 22855 27548 32895 620 1897 3775 5552 6799 7621 10167 10172 10615 11367 12093 13241 15426 16623 19467 19792 22069 22370 24472 24594 25205 25954 27800 29422 582 1618 4673 5809 6318 6883 8051 12335 12409 13176 14078 15206 17580 18624 18876 19079 20786 21177 25894 26395 27377 27757 30167 31971 1157 2189 4160 4480 5055 8961 9171 9444 10533 11581 12904 14256 14620 15773 16232 17598 19756 21134 21443 22559 23258 25137 25555 28150 987 1258 1269 2394 4859 5642 5705 6093 6408 7734 8804 10657 11946 16132 20267 25402 26505 26548 27060 29767 29780 31915 31966 33590 1010 1363 1626 5283 6356 10961 12418 14332 14362 16288 16303 16592 17096 20115 20285 20478 21774 22165 22425 23198 25048 25596 31540 32841 895 2743 2912 4971 8803 11183 14500 14617 14638 16776 17901 18622 20244 20845 22214 25676 26161 26281 29978 30392 30922 31542 32038 32443 188 260 411 2823 5512 5645 10019 11856 12671 14273 14673 16091 16169 22333 22934 22945 23542 26503 27159 27279 28277 30114 31626 32722 357 516 3530 4317 8587 9491 10348 11330 13446 14533 15423 17003 17217 19127 20088 20750 21767 22386 24021 27749 29008 29376 30329 32940 2909 3036 4875 9967 10632 12069 12410 14004 14628 15605 15852 18231 18657 19705 20620 22241 29575 29656 31246 32190 32781 33489 33842 34492 4242 5461 5577 7662 11130 13663 17240 17773 18339 19400 22905 24219 25464 25890 26359 27121 27318 27840 30800 32587 32924 33427 33940 34058 421 2222 3457 5257 5600 10147 12754 17380 18854 20333 20345 20752 24578 25196 25638 25725 25822 27610 28006 28563 29632 29973 29991 34166 41 207 1043 4650 5387 6826 7261 8687 9092 10775 11446 12596 16613 19463 20923 24155 24927 25384 26064 27377 28094 32578 32639 34115 1050 5731 15820 16281 26130 29314 5980 6161 14479 22181 22537 32924 7828 9134 11297 17143 25449 29674 8299 10457 14486 21548 22510 32039 1527 7792 10424 19166 29302 29768 5823 13974 21254 21506 25658 29491 6285 9873 12846 14474 17005 29377 1740 4929 8285 20994 32271 34522 12862 16827 22427 23369 27051 30378 4787 10372 10408 12091 20349 26162 6659 22752 24697 28261 28917 32536 6788 15367 21778 28916 30324 33927 7181 12373 21912 24703 28680 34045 2238 4945 14336 19270 29574 33459 10283 15311 17440 24599 24867 28293 324 5264 5375 6581 24348 30288 3112 7656 23825 21624 22318 22633 5284 19790 22758 2700 4039 12576 17028 17520 19579 11914 17834 33989 2199 5502 7184 22 20701 26497 5551 27014 32876 4019 26547 28521 7580 10016 33855 4328 11674 34018 8491 9956 10029 6167 11267 24914 5317 9049 29657 20717 28724 33012 16841 21647 31096 11931 16278 20287 9402 10557 11008 11826 15349 34420 14369 17031 20597 19164 27947 29775 15537 18796 33662 5404 21027 26757 6269 12671 24309 8601 29048 29262 10099 20323 21457 15952 17074 30434 7597 20987 33095 11298 24182 29217 12055 16250 16971 5350 9354 31390 8168 14168 18570 5448 13141 32381 3921 21113 28176 8756 19895 27917 9391 16617 25586 3357 18527 34238 2378 16840 28948 7470 27466 32928 8366 19376 30916 3116 7267 18016 15309 18445 21799 4731 23773 34546 260 4898 5180 8897 22266 29587 2539 23717 33142 19233 28750 29724 9937 15384 16599 10234 17089 26776 8869 9425 13658 6197 24086 31929 9237 20931 27785 10403 13822 16734 20038 21196 26868 13170 27813 28875 1110 20329 24508 11844 22662 28987 2891 2918 14512 15707 27399 34135 8687 20019 26178 6847 8903 16307 23737 23775 27776 17388 27970 31983 is a transmission method / apparatus.

[0015] The fourth receiving apparatus / method of the present technology has a code length N of 69120 bits, and is based on a check matrix of an LDPC code with a coding rate r of 8 / 16. It includes an encoding unit that performs LDPC encoding, a group-wise interleaving unit that performs group-wise interleaving on the LDPC code in units of 360-bit bit groups, and a mapping unit that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the beginning of the LDPC code is used as the bit group i, and the order of bit groups 0 to 191 of the 69120-bit LDPC code is changed to bit groups 160, 7, 29, 39, 110, 189, 140, 143, 163, 130, 173, 71, 191, 106, 60, 62, 149, 135, 9, 147, 124, 152, 55, 116, 85, 112, 14, 20, 79, 103, 156, 167, 19, 45, 73, 26, 159, 44, 86, 76, 56, 12, 109, 117, 128, 67, 150, 151, 31, 27, 133, 17, 120, 153, 108, 180, 52, 187, 98, 63, 176, 186, 179, 113, 161, 32, 24, 111, 41, 95, 38, 10, 154, 97, 141, 2, 127, 40, 105, 34, 11, 185, 155, 61, 114, 74, 158, 162, 5, 177, 43, 51, 148, 137, 28, 181, 171, 13, 104, 42, 168, 93, 172, 144, 80, 123, 89, 81, 68, 75, 78, 121, 53, 65, 122, 142, 157, 107, 136, 66, 90, 23, 8, 1, 77, 54, 125, 174, 35, 88, 82, 134, 101, 131, 33, 50, 87, 36, 15, 47, 83, 18, 6, 21, 30, 94, 72, 145, 138, 184, 69, 84, 58, 49, 16, 48, 70, 183, 3, 92, 25, 115, 0, 182, 139, 91, 146, 102, 96, 100, 119, 129, 178, 46, 37, 57, 118, 126, 59, 165, 170, 190, 188, 175, 166, 99, 4, 22, 132, 164, 64, 169 Interleave the order and include the LDPC code with information bits and parity bits. The check matrix includes an information matrix part corresponding to the information bits and a parity matrix part corresponding to the parity bits. The information matrix part is represented by a check matrix initial value table, and the check matrix initial value table is a table that represents the positions of the 1 elements of the information matrix part every 360 columns, 1850 4176 4190 7294 8168 8405 9258 9710 13440 16304 16600 18184 18834 19899 22513 25068 26659 27137 27232 29186 29667 30549 31428 33634 2477 2543 5094 8081 9573 10269 11276 11439 13016 13327 16717 18042 19362 19721 20089 20425 20503 21396 24677 24722 28703 32486 32759 33630 1930 2158 2315 2683 3818 4883 5252 5505 8760 9580 11867 13117 14566 15639 17273 18820 21069 24945 25667 26785 30678 31271 33003 33244 1279 1491 2038 2347 2432 4336 4905 6588 7507 7666 8775 9172 10405 12249 12270 12373 12936 13046 13364 15130 17597 22855 27548 32895 620 1897 3775 5552 6799 7621 10167 10172 10615 11367 12093 13241 15426 16623 19467 19792 22069 22370 24472 24594 25205 25954 27800 29422 582 1618 4673 5809 6318 6883 8051 12335 12409 13176 14078 15206 17580 18624 18876 19079 20786 21177 25894 26395 27377 27757 30167 31971 1157 2189 4160 4480 5055 8961 9171 9444 10533 11581 12904 14256 14620 15773 16232 17598 19756 21134 21443 22559 23258 25137 25555 28150 987 1258 1269 2394 4859 5642 5705 6093 6408 7734 8804 10657 11946 16132 20267 25402 26505 26548 27060 29767 29780 31915 31966 33590 1010 1363 1626 5283 6356 10961 12418 14332 14362 16288 16303 16592 17096 20115 20285 20478 21774 22165 22425 23198 25048 25596 31540 32841 895 2743 2912 4971 8803 11183 14500 14617 14638 16776 17901 18622 20244 20845 22214 25676 26161 26281 29978 30392 30922 31542 32038 32443 188 260 411 2823 5512 5645 10019 11856 12671 14273 14673 16091 16169 22333 22934 22945 23542 26503 27159 27279 28277 30114 31626 32722 357 516 3530 4317 8587 9491 10348 11330 13446 14533 15423 17003 17217 19127 20088 20750 21767 22386 24021 27749 29008 29376 30329 32940 2909 3036 4875 9967 10632 12069 12410 14004 14628 15605 15852 18231 18657 19705 20620 22241 29575 29656 31246 32190 32781 33489 33842 34492 4242 5461 5577 7662 11130 13663 17240 17773 18339 19400 22905 24219 25464 25890 26359 27121 27318 27840 30800 32587 32924 33427 33940 34058 421 2222 3457 5257 5600 10147 12754 17380 18854 20333 20345 20752 24578 25196 25638 25725 25822 27610 28006 28563 29632 29973 29991 34166 41 207 1043 4650 5387 6826 7261 8687 9092 10775 11446 12596 16613 19463 20923 24155 24927 25384 26064 27377 28094 32578 32639 34115 1050 5731 15820 16281 26130 29314 5980 6161 14479 22181 22537 32924 7828 9134 11297 17143 25449 29674 8299 10457 14486 21548 22510 32039 1527 7792 10424 19166 29302 29768 5823 13974 21254 21506 25658 29491 6285 9873 12846 14474 17005 29377 1740 4929 8285 20994 32271 34522 12862 16827 22427 23369 27051 30378 4787 10372 10408 12091 20349 26162 6659 22752 24697 28261 28917 32536 6788 15367 21778 28916 30324 33927 7181 12373 21912 24703 28680 34045 2238 4945 14336 19270 29574 33459 10283 15311 17440 24599 24867 28293 324 5264 5375 6581 24348 30288 3112 7656 23825 21624 22318 22633 5284 19790 22758 2700 4039 12576 17028 17520 19579 11914 17834 33989 2199 5502 7184 22 20701 26497 5551 27014 32876 4019 26547 28521 7580 10016 33855 4328 11674 34018 8491 9956 10029 6167 11267 24914 5317 9049 29657 20717 28724 33012 16841 21647 31096 11931 16278 20287 9402 10557 11008 11826 15349 34420 14369 17031 20597 19164 27947 29775 15537 18796 33662 5404 21027 26757 6269 12671 24309 8601 29048 29262 10099 20323 21457 15952 17074 30434 7597 20987 33095 11298 24182 29217 12055 16250 16971 5350 9354 31390 8168 14168 18570 5448 13141 32381 3921 21113 28176 8756 19895 27917 9391 16617 25586 3357 18527 34238 2378 16840 28948 7470 27466 32928 8366 19376 30916 3116 7267 18016 15309 18445 21799 4731 23773 34546 260 4898 5180 8897 22266 29587 2539 23717 33142 19233 28750 29724 9937 15384 16599 10234 17089 26776 8869 9425 13658 6197 24086 31929 9237 20931 27785 10403 13822 16734 20038 21196 26868 13170 27813 28875 1110 20329 24508 11844 22662 28987 2891 2918 14512 15707 27399 34135 8687 20019 26178 6847 8903 16307 23737 23775 27776 17388 27970 31983 A receiving apparatus / method comprising a group-wise deinterleaving unit / step for restoring the order of the LDPC code after group-wise interleaving to the original order from the data transmitted from a transmitting apparatus which is as follows.

[0016] The fifth transmitting method / apparatus of the present technology performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 10 / 16, and includes a coding step / unit for performing LDPC encoding, a group-wise interleaving step / unit for performing group-wise interleaving of the LDPC code in units of 360-bit bit groups, and a mapping step / unit for mapping the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69120-bit LDPC code is changed to the bit group 167, 97, 86, 166, 11, 57, 187, 169, 104, 102, 108, 63, 12, 181, 1, 71, 134, 152, 45, 144, 124, 22, 0, 51, 100, 150, 179, 54, 66, 79, 25, 172, 59, 48, 23, 55, 64, 185, 164, 123, 56, 80, 153, 9, 177, 176, 81, 17, 14, 43, 76, 27, 175, 60, 133, 91, 61, 41, 111, 163, 72, 95, 84, 67, 129, 52, 88, 121, 7, 49, 168, 154, 74, 138, 142, 158, 132, 127, 40, 139, 20, 44, 6, 128, 75, 114, 119, 2, 8, 157, 98, 118, 89, 46, 160, 190, 5, 165, 28, 68, 189, 161, 112, 173, 148, 183, 33, 131, 105, 186, 156, 70, 117, 170, 174, 36, 19, 135, 125, 122, 50, 113, 141, 37, 38, 31, 94, 149, 78, 32, 178, 34, 107, 13, 182, 146, 93, 10, 106, 109, 4, 77, 87, 3, 184, 83, 30, 180, 96, 15, 155, 110, 145, 191, 151, 101, 65, 99, 115, 140, 26, 147, 42, 136, 137, 18, 53, 116, 171, 16, 21, 92, 162, 130, 85, 69, 47, 35, 82, 120, 24, 73, 39, 58, 62, 126, 29, 90, 143, 159, 188, 103 interleave the order and, the LDPC code includes information bits and parity bits, the check matrix includes an information matrix part corresponding to the information bits and a parity matrix part corresponding to the parity bits, the information matrix part is represented by a check matrix initial value table, and the check matrix initial value table is a table that represents the positions of the 1 elements of the information matrix part every 360 columns, 200 588 3305 4771 6288 8400 11092 11126 14245 14255 17022 17190 19241 20350 20451 21069 25243 80 2914 4126 5426 6129 7790 9546 12909 14660 17357 18278 19612 21168 22367 23314 24801 24907 1216 2713 4897 6540 7016 7787 8321 9717 9934 12295 18749 20344 21386 21682 21735 24205 24825 6784 8163 8691 8743 10045 10319 10767 11141 11756 12004 12463 13407 14682 15458 20771 21060 22914 463 1260 1897 2128 2908 5157 7851 14177 16187 17463 18212 18221 19212 21864 24198 25318 25450 794 835 1163 4551 4597 5792 6092 7809 8576 8862 10986 12164 13053 14459 15978 23829 25072 144 4258 4342 7326 8165 9627 11432 12552 17582 17621 18145 19201 19372 19718 21036 25147 25774 617 2639 2749 2898 3414 4305 4802 6183 8551 9850 13679 20759 22501 24244 24331 24631 25587 1622 2258 4257 6069 10343 10642 11003 12520 13993 17086 18236 18522 24679 25361 25371 25595 1826 3926 5021 5905 6192 6839 7678 9136 9188 9716 10986 11191 12551 14648 16169 16234 2175 2396 2473 8548 9753 12115 12208 13469 15438 16985 19350 20424 21357 22819 22830 25671 265 397 6675 7152 8074 13030 13161 13336 15843 16917 17930 18014 18660 19218 22236 24940 5744 6883 7780 7839 8485 10016 10548 12131 12158 16211 16793 18749 20570 21757 22255 24489 2082 4768 7025 8803 10237 10932 13885 14266 14370 14982 16411 18443 18773 19570 21420 23311 1040 1376 2823 2998 3789 6636 7755 9819 13705 13868 14176 16202 16247 24943 25196 25489 223 1967 3289 4541 7420 9881 11086 12868 13550 14760 15434 18287 19098 20909 22905 25887 1906 2049 2147 2756 2845 4773 8337 8832 9363 12375 13651 16366 17546 20486 21624 22664 1619 1955 2393 3078 3208 3593 5246 8565 10956 11335 11865 14837 15006 15544 18820 22687 2086 3409 3586 4269 6587 8650 10165 11241 15624 16728 17814 18392 18667 19859 21132 25339 382 1160 1912 3700 3783 12069 14672 16842 18053 19626 20724 21244 21792 22679 23873 24517 1217 1486 5139 6774 7413 10622 11571 11697 13406 13487 20713 22436 22610 22806 23522 23632 1225 2927 6221 6247 8197 9322 11826 11948 12230 13899 15820 16791 17444 23155 24543 24650 1056 2975 6018 7698 7736 7940 11870 12964 17498 17577 19541 20124 20705 22693 23151 25627 658 790 1559 3683 6060 9059 12347 12990 13095 16317 17801 18816 20050 20979 23584 25472 1133 3343 6895 7146 7261 8340 9115 11248 14543 16030 16291 17972 22369 22479 24388 25280 1907 4021 8277 17631 7807 8063 10076 24958 5455 8638 13801 18832 15525 24030 24978 7854 21083 21197 8416 15614 24639 9382 13998 24091 1244 19468 24804 5100 14187 21263 12267 18441 22757 185 23294 23412 5136 24218 25509 6159 12323 19472 7490 9770 19813 1457 2204 4186 14200 15609 18700 4544 6337 17759 3697 13810 14537 10853 16611 23001 504 12709 23116 1338 21523 22880 1098 8530 23846 13699 19776 25783 3299 3629 16222 1821 2402 12416 11177 20793 24292 21580 24038 24094 11769 13819 13950 5388 9428 13527 20320 23996 24752 2923 14906 18768 911 10059 17607 1535 3090 22968 3398 8243 12265 9801 10001 20184 11839 15703 16757 1834 13797 14101 4469 11503 14694 4047 8684 23737 15682 21342 21898 7345 8077 22245 4108 20676 24406 8787 19625 22194 8536 15518 20879 3339 15738 19592 2916 13483 23680 3853 12107 18338 16962 21265 25429 10181 18667 25563 2867 21873 23535 8601 19728 23807 4484 17647 22060 6457 17641 23777 17432 18680 20224 3046 14453 19429 807 2064 12639 17630 20286 21847 13703 13720 24044 8382 9588 10339 18818 23311 24714 5397 13213 24988 4077 9348 21707 10628 15352 21292 1075 7625 18287 5771 20506 20926 13545 18180 21566 12022 19203 25134 86 12306 20066 7797 10752 15305 2986 4186 9128 9099 17285 24986 3530 17904 21836 2283 20216 25272 22562 24667 25143 1673 3837 5198 4188 13181 22061 17800 20341 22591 3466 4433 24958 145 7746 23940 4718 15618 19372 2735 11877 13719 3560 6483 10536 4167 7567 8558 4511 5862 16331 3268 6965 25578 5552 20627 24489 1425 2331 4414 3352 12606 19595 4653 8383 20029 9163 22097 24174 7324 16151 20228 280 4353 25404 5173 7657 25604 6910 13531 22225 18274 19994 21778 is the transmission method / apparatus.

[0017] The fifth receiving device / method of the present technology includes an encoding unit that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 10 / 16, a group-wise interleaving unit that performs group-wise interleaving by interleaving the LDPC code in units of 360-bit bit groups, and a mapping unit that maps the LDPC code in units of 10 bits to any one of 1,024 signal points of UC (Uniform Constellation) of 1,024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is changed to the bit group 167, 97, 86, 166, 11, 57, 187, 169, 104, 102, 108, 63, 12, 181, 1, 71, 134, 152, 45, 144, 124, 22, 0, 51, 100, 150, 179, 54, 66, 79, 25, 172, 59, 48, 23, 55, 64, 185, 164, 123, 56, 80, 153, 9, 177, 176, 81, 17, 14, 43, 76, 27, 175, 60, 133, 91, 61, 41, 111, 163, 72, 95, 84, 67, 129, 52, 88, 121, 7, 49, 168, 154, 74, 138, 142, 158, 132, 127, 40, 139, 20, 44, 6, 128, 75, 114, 119, 2, 8, 157, 98, 118, 89, 46, 160, 190, 5, 165, 28, 68, 189, 161, 112, 173, 148, 183, 33, 131, 105, 186, 156, 70, 117, 170, 174, 36, 19, 135, 125, 122, 50, 113, 141, 37, 38, 31, 94, 149, 78, 32, 178, 34, 107, 13, 182, 146, 93, 10, 106, 109, 4, 77, 87, 3, 184, 83, 30, 180, 96, 15, 155, 110, 145, 191, 151, 101, 65, 99, 115, 140, 26, 147, 42, 136, 137, 18, 53, 116, 171, 16, 21, 92, 162, 130, 85, 69, 47, 35, 82, 120, 24, 73, 39, 58, 62, 126, 29, 90, 143, 159, 188, 103 Interleave the sequences, the LDPC code includes information bits and parity bits, the check matrix includes an information matrix part corresponding to the information bits and a parity matrix part corresponding to the parity bits, the information matrix part is represented by a check matrix initial value table, and the check matrix initial value table is a table that represents the positions of the 1 elements of the information matrix part every 360 columns, 200 588 3305 4771 6288 8400 11092 11126 14245 14255 17022 17190 19241 20350 20451 21069 25243 80 2914 4126 5426 6129 7790 9546 12909 14660 17357 18278 19612 21168 22367 23314 24801 24907 1216 2713 4897 6540 7016 7787 8321 9717 9934 12295 18749 20344 21386 21682 21735 24205 24825 6784 8163 8691 8743 10045 10319 10767 11141 11756 12004 12463 13407 14682 15458 20771 21060 22914 463 1260 1897 2128 2908 5157 7851 14177 16187 17463 18212 18221 19212 21864 24198 25318 25450 794 835 1163 4551 4597 5792 6092 7809 8576 8862 10986 12164 13053 14459 15978 23829 25072 144 4258 4342 7326 8165 9627 11432 12552 17582 17621 18145 19201 19372 19718 21036 25147 25774 617 2639 2749 2898 3414 4305 4802 6183 8551 9850 13679 20759 22501 24244 24331 24631 25587 1622 2258 4257 6069 10343 10642 11003 12520 13993 17086 18236 18522 24679 25361 25371 25595 1826 3926 5021 5905 6192 6839 7678 9136 9188 9716 10986 11191 12551 14648 16169 16234 2175 2396 2473 8548 9753 12115 12208 13469 15438 16985 19350 20424 21357 22819 22830 25671 265 397 6675 7152 8074 13030 13161 13336 15843 16917 17930 18014 18660 19218 22236 24940 5744 6883 7780 7839 8485 10016 10548 12131 12158 16211 16793 18749 20570 21757 22255 24489 2082 4768 7025 8803 10237 10932 13885 14266 14370 14982 16411 18443 18773 19570 21420 23311 1040 1376 2823 2998 3789 6636 7755 9819 13705 13868 14176 16202 16247 24943 25196 25489 223 1967 3289 4541 7420 9881 11086 12868 13550 14760 15434 18287 19098 20909 22905 25887 1906 2049 2147 2756 2845 4773 8337 8832 9363 12375 13651 16366 17546 20486 21624 22664 1619 1955 2393 3078 3208 3593 5246 8565 10956 11335 11865 14837 15006 15544 18820 22687 2086 3409 3586 4269 6587 8650 10165 11241 15624 16728 17814 18392 18667 19859 21132 25339 382 1160 1912 3700 3783 12069 14672 16842 18053 19626 20724 21244 21792 22679 23873 24517 1217 1486 5139 6774 7413 10622 11571 11697 13406 13487 20713 22436 22610 22806 23522 23632 1225 2927 6221 6247 8197 9322 11826 11948 12230 13899 15820 16791 17444 23155 24543 24650 1056 2975 6018 7698 7736 7940 11870 12964 17498 17577 19541 20124 20705 22693 23151 25627 658 790 1559 3683 6060 9059 12347 12990 13095 16317 17801 18816 20050 20979 23584 25472 1133 3343 6895 7146 7261 8340 9115 11248 14543 16030 16291 17972 22369 22479 24388 25280 1907 4021 8277 17631 7807 8063 10076 24958 5455 8638 13801 18832 15525 24030 24978 7854 21083 21197 8416 15614 24639 9382 13998 24091 1244 19468 24804 5100 14187 21263 12267 18441 22757 185 23294 23412 5136 24218 25509 6159 12323 19472 7490 9770 19813 1457 2204 4186 14200 15609 18700 4544 6337 17759 3697 13810 14537 10853 16611 23001 504 12709 23116 1338 21523 22880 1098 8530 23846 13699 19776 25783 3299 3629 16222 1821 2402 12416 11177 20793 24292 21580 24038 24094 11769 13819 13950 5388 9428 13527 20320 23996 24752 2923 14906 18768 911 10059 17607 1535 3090 22968 3398 8243 12265 9801 10001 20184 11839 15703 16757 1834 13797 14101 4469 11503 14694 4047 8684 23737 15682 21342 21898 7345 8077 22245 4108 20676 24406 8787 19625 22194 8536 15518 20879 3339 15738 19592 2916 13483 23680 3853 12107 18338 16962 21265 25429 10181 18667 25563 2867 21873 23535 8601 19728 23807 4484 17647 22060 6457 17641 23777 17432 18680 20224 3046 14453 19429 807 2064 12639 17630 20286 21847 13703 13720 24044 8382 9588 10339 18818 23311 24714 5397 13213 24988 4077 9348 21707 10628 15352 21292 1075 7625 18287 5771 20506 20926 13545 18180 21566 12022 19203 25134 86 12306 20066 7797 10752 15305 2986 4186 9128 9099 17285 24986 3530 17904 21836 2283 20216 25272 22562 24667 25143 1673 3837 5198 4188 13181 22061 17800 20341 22591 3466 4433 24958 145 7746 23940 4718 15618 19372 2735 11877 13719 3560 6483 10536 4167 7567 8558 4511 5862 16331 3268 6965 25578 5552 20627 24489 1425 2331 4414 3352 12606 19595 4653 8383 20029 9163 22097 24174 7324 16151 20228 280 4353 25404 5173 7657 25604 6910 13531 22225 18274 19994 21778 A receiving apparatus / method comprising a group-wise deinterleaving unit / step for restoring the order of the LDPC code after group-wise interleaving to the original order, obtained from data transmitted from a transmitting apparatus.

[0018] The sixth transmission method / apparatus of the present technology includes an encoding step / section that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 12 / 16, a group-wise interleaving step / section that performs group-wise interleaving of the LDPC code in units of 360-bit bit groups, and a mapping step / section that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is changed to bit group 74, 151, 79, 49, 174, 180, 133, 106, 116, 16, 163, 62, 164, 45, 187, 128, 176, 2, 126, 136, 63, 28, 118, 173, 19, 46, 93, 121, 162, 88, 0, 147, 131, 54, 117, 138, 69, 182, 68, 143, 78, 15, 7, 59, 109, 32, 10, 179, 165, 90, 73, 71, 171, 135, 123, 125, 31, 22, 70, 185, 155, 60, 120, 113, 41, 154, 177, 85, 64, 55, 26, 129, 84, 38, 166, 44, 30, 183, 189, 191, 124, 77, 80, 98, 190, 167, 140, 52, 153, 43, 25, 188, 103, 152, 137, 76, 149, 34, 172, 122, 40, 168, 141, 96, 142, 58, 110, 65, 9, 36, 42, 50, 184, 105, 156, 127, 8, 61, 146, 169, 181, 5, 87, 150, 91, 17, 18, 24, 112, 81, 170, 95, 29, 100, 130, 48, 159, 72, 75, 160, 27, 108, 148, 66, 144, 97, 57, 115, 114, 1, 132, 4, 21, 92, 11, 107, 175, 67, 145, 14, 186, 20, 51, 39, 3, 86, 89, 47, 53, 102, 82, 139, 23, 104, 157, 99, 158, 12, 161, 35, 178, 37, 134, 83, 94, 101, 111, 119, 6, 33, 13, 56 Interleave the order and include the LDPC code with information bits and parity bits. The check matrix includes an information matrix part corresponding to the information bits and a parity matrix part corresponding to the parity bits. The information matrix part is represented by a check matrix initial value table, and the check matrix initial value table is a table that represents the positions of the 1 elements of the information matrix part every 360 columns, 1507 1536 2244 4721 6374 7839 11001 12684 13196 13602 14245 14383 14398 16182 17248 623 696 1186 1370 4409 5237 5911 8278 9539 12139 12810 13422 15525 16232 16252 530 1953 3745 5512 6676 9069 9433 10683 11530 12263 12519 14931 15326 15581 16208 273 685 3132 5872 6388 7149 7316 7367 9041 11102 11211 12059 15189 15973 16435 814 1297 1896 6018 7801 8810 9701 9992 10314 13618 13771 14934 15198 16340 16742 58 803 2553 3967 6032 8374 9168 10047 10073 10909 12701 12748 13543 14111 17043 1082 1577 2108 2344 5035 5051 10038 10356 12156 12308 13815 15453 15830 16305 17234 1882 3731 5182 5554 6330 6605 7126 10195 10508 12151 12191 12241 12288 13755 16472 85 604 1278 3768 4831 6820 9471 10773 10873 12785 12973 13623 14562 14697 16811 928 1864 6027 7023 7644 8279 8580 9221 9417 9883 12032 12483 12734 14335 15842 2104 2752 4530 4820 5662 9197 9464 9972 10057 11079 12408 13005 13684 15507 16295 82 752 3374 4026 7265 8112 12236 12434 12460 13110 13495 15110 15299 15359 17221 1137 1411 1546 1614 1835 6053 6151 8618 9059 14057 14941 15670 16321 16965 447 1960 2369 2861 3047 3508 4077 4358 4370 5806 12517 13658 14371 14749 420 981 1657 2313 3353 4699 5094 5184 10076 10530 11521 13040 15960 16853 3572 3851 3870 5218 6400 6780 9167 9603 10328 10543 12892 13722 16910 16929 203 2588 4522 4692 5399 6840 7417 8896 9045 9188 10390 12507 12615 16386 543 1262 2536 4358 7658 7714 9392 11079 12283 12694 14734 16195 16317 16751 905 1059 3393 4347 4554 4758 5568 8652 9991 10717 10975 11146 12824 16373 1229 2308 4876 5329 5424 5906 6227 6667 7141 7697 12055 12969 13582 16638 697 1864 2560 4190 5097 5288 6565 9150 9282 9519 10727 12492 13292 16924 363 3152 3715 3722 4582 5050 8399 9413 9851 10305 12116 13471 15318 16018 338 2342 2404 4733 6189 6792 7251 7921 8509 8579 8729 11921 12900 15546 1630 1867 2018 3038 3202 6364 7648 8692 9496 9705 10433 13508 14583 16341 1041 2754 3015 3427 3512 4351 5174 6539 8100 8639 9912 11911 12666 14187 1134 1619 4758 5545 6842 7045 8421 10373 10390 12672 13484 15178 16697 16727 589 652 1174 2157 3951 4733 5278 5859 7619 9488 11665 12335 15516 16024 1457 1832 2525 3690 5093 6000 6276 7974 8652 9759 10434 15025 15267 16448 932 3328 3349 3511 4776 6266 6711 7761 8674 9748 11167 12134 12942 14354 1939 1979 3141 4238 6715 7148 7673 12025 12455 14829 14989 15081 16491 17242 1363 2451 1953 10230 6218 7655 9302 15856 10461 10503 9005 16075 878 14223 15181 3535 5327 14405 8116 8396 9828 2864 6306 14832 24 11009 16377 7064 11014 16139 4318 8353 14997 583 5626 10217 11196 13669 16585 6123 7518 9304 2258 8250 12082 7564 14195 15236 10104 10233 13778 2044 7801 11705 10906 11443 13227 1592 7853 14796 3054 8887 13077 6486 7003 9238 424 9055 13390 618 4077 11120 11159 13405 16070 2927 8689 17210 723 5842 12062 4817 9269 10820 208 6947 12903 2987 10116 11520 3522 6321 15637 148 3087 12764 262 1613 14121 7236 10798 11759 3193 4958 11292 7537 12439 15202 8000 9580 17269 9665 9691 15654 5946 14246 16040 4283 8145 10944 1082 1829 11267 1272 6119 13182 20 11943 14128 4591 8403 16530 2212 13724 13933 2079 10365 14633 1269 11307 16370 2467 4744 10714 6256 7915 9724 8799 11433 16880 459 6799 10102 3795 6930 13350 1295 13018 14967 3542 7310 10974 6905 15080 16105 2673 3143 12349 4698 4801 14770 7512 15844 15965 3276 4069 10099 1893 4676 6679 1985 7244 10163 6333 12760 12912 852 5954 11771 6958 9242 10613 5651 10089 12309 4124 7455 13224 503 6787 10720 10594 12717 14007 4501 5311 8067 4507 5620 13932 9133 11025 13866 5021 16201 16217 6166 7438 17185 1324 5671 11586 2266 6335 7716 512 9515 11595 869 6096 13886 10049 12536 14474 470 8286 8306 1268 5478 6424 8178 8817 14506 11460 15128 16761 6364 10121 16806 9347 15211 16915 1587 3591 15546 17 4132 17071 1677 8810 15764 3862 7633 13685 3855 11931 12792 2652 13909 17080 5581 13919 16126 7129 8976 11152 6662 7845 13424 9751 9965 13847 3662 9308 9534 4283 7474 7682 2418 8774 13433 508 3864 6859 12098 13920 15326 1129 3271 16892 5072 8819 10323 4749 4984 6390 212 13603 14893 4966 8895 9320 1012 3677 5711 6654 9969 15178 4596 5147 5905 1541 4149 15594 8005 8604 15147 2519 10882 11961 190 8417 13600 3543 4639 14618 is a transmission method / apparatus.

[0019] The sixth receiving apparatus / method of the present technology includes an encoding unit that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 12 / 16, a group-wise interleaving unit that performs group-wise interleaving by interleaving the LDPC code in units of 360-bit bit groups, and a mapping unit that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69120-bit LDPC code is the bit group 74, 151, 79, 49, 174, 180, 133, 106, 116, 16, 163, 62, 164, 45, 187, 128, 176, 2, 126, 136, 63, 28, 118, 173, 19, 46, 93, 121, 162, 88, 0, 147, 131, 54, 117, 138, 69, 182, 68, 143, 78, 15, 7, 59, 109, 32, 10, 179, 165, 90, 73, 71, 171, 135, 123, 125, 31, 22, 70, 185, 155, 60, 120, 113, 41, 154, 177, 85, 64, 55, 26, 129, 84, 38, 166, 44, 30, 183, 189, 191, 124, 77, 80, 98, 190, 167, 140, 52, 153, 43, 25, 188, 103, 152, 137, 76, 149, 34, 172, 122, 40, 168, 141, 96, 142, 58, 110, 65, 9, 36, 42, 50, 184, 105, 156, 127, 8, 61, 146, 169, 181, 5, 87, 150, 91, 17, 18, 24, 112, 81, 170, 95, 29, 100, 130, 48, 159, 72, 75, 160, 27, 108, 148, 66, 144, 97, 57, 115, 114, 1, 132, 4, 21, 92, 11, 107, 175, 67, 145, 14, 186, 20, 51, 39, 3, 86, 89, 47, 53, 102, 82, 139, 23, 104, 157, 99, 158, 12, 161, 35, 178, 37, 134, 83, 94, 101, 111, 119, 6, 33, 13, 56 Interleave the sequences, the LDPC code includes information bits and parity bits, the check matrix includes an information matrix part corresponding to the information bits and a parity matrix part corresponding to the parity bits, the information matrix part is represented by a check matrix initial value table, and the check matrix initial value table is a table that represents the positions of the 1 elements of the information matrix part every 360 columns, 1507 1536 2244 4721 6374 7839 11001 12684 13196 13602 14245 14383 14398 16182 17248 623 696 1186 1370 4409 5237 5911 8278 9539 12139 12810 13422 15525 16232 16252 530 1953 3745 5512 6676 9069 9433 10683 11530 12263 12519 14931 15326 15581 16208 273 685 3132 5872 6388 7149 7316 7367 9041 11102 11211 12059 15189 15973 16435 814 1297 1896 6018 7801 8810 9701 9992 10314 13618 13771 14934 15198 16340 16742 58 803 2553 3967 6032 8374 9168 10047 10073 10909 12701 12748 13543 14111 17043 1082 1577 2108 2344 5035 5051 10038 10356 12156 12308 13815 15453 15830 16305 17234 1882 3731 5182 5554 6330 6605 7126 10195 10508 12151 12191 12241 12288 13755 16472 85 604 1278 3768 4831 6820 9471 10773 10873 12785 12973 13623 14562 14697 16811 928 1864 6027 7023 7644 8279 8580 9221 9417 9883 12032 12483 12734 14335 15842 2104 2752 4530 4820 5662 9197 9464 9972 10057 11079 12408 13005 13684 15507 16295 82 752 3374 4026 7265 8112 12236 12434 12460 13110 13495 15110 15299 15359 17221 1137 1411 1546 1614 1835 6053 6151 8618 9059 14057 14941 15670 16321 16965 447 1960 2369 2861 3047 3508 4077 4358 4370 5806 12517 13658 14371 14749 420 981 1657 2313 3353 4699 5094 5184 10076 10530 11521 13040 15960 16853 3572 3851 3870 5218 6400 6780 9167 9603 10328 10543 12892 13722 16910 16929 203 2588 4522 4692 5399 6840 7417 8896 9045 9188 10390 12507 12615 16386 543 1262 2536 4358 7658 7714 9392 11079 12283 12694 14734 16195 16317 16751 905 1059 3393 4347 4554 4758 5568 8652 9991 10717 10975 11146 12824 16373 1229 2308 4876 5329 5424 5906 6227 6667 7141 7697 12055 12969 13582 16638 697 1864 2560 4190 5097 5288 6565 9150 9282 9519 10727 12492 13292 16924 363 3152 3715 3722 4582 5050 8399 9413 9851 10305 12116 13471 15318 16018 338 2342 2404 4733 6189 6792 7251 7921 8509 8579 8729 11921 12900 15546 1630 1867 2018 3038 3202 6364 7648 8692 9496 9705 10433 13508 14583 16341 1041 2754 3015 3427 3512 4351 5174 6539 8100 8639 9912 11911 12666 14187 1134 1619 4758 5545 6842 7045 8421 10373 10390 12672 13484 15178 16697 16727 589 652 1174 2157 3951 4733 5278 5859 7619 9488 11665 12335 15516 16024 1457 1832 2525 3690 5093 6000 6276 7974 8652 9759 10434 15025 15267 16448 932 3328 3349 3511 4776 6266 6711 7761 8674 9748 11167 12134 12942 14354 1939 1979 3141 4238 6715 7148 7673 12025 12455 14829 14989 15081 16491 17242 1363 2451 1953 10230 6218 7655 9302 15856 10461 10503 9005 16075 878 14223 15181 3535 5327 14405 8116 8396 9828 2864 6306 14832 24 11009 16377 7064 11014 16139 4318 8353 14997 583 5626 10217 11196 13669 16585 6123 7518 9304 2258 8250 12082 7564 14195 15236 10104 10233 13778 2044 7801 11705 10906 11443 13227 1592 7853 14796 3054 8887 13077 6486 7003 9238 424 9055 13390 618 4077 11120 11159 13405 16070 2927 8689 17210 723 5842 12062 4817 9269 10820 208 6947 12903 2987 10116 11520 3522 6321 15637 148 3087 12764 262 1613 14121 7236 10798 11759 3193 4958 11292 7537 12439 15202 8000 9580 17269 9665 9691 15654 5946 14246 16040 4283 8145 10944 1082 1829 11267 1272 6119 13182 20 11943 14128 4591 8403 16530 2212 13724 13933 2079 10365 14633 1269 11307 16370 2467 4744 10714 6256 7915 9724 8799 11433 16880 459 6799 10102 3795 6930 13350 1295 13018 14967 3542 7310 10974 6905 15080 16105 2673 3143 12349 4698 4801 14770 7512 15844 15965 3276 4069 10099 1893 4676 6679 1985 7244 10163 6333 12760 12912 852 5954 11771 6958 9242 10613 5651 10089 12309 4124 7455 13224 503 6787 10720 10594 12717 14007 4501 5311 8067 4507 5620 13932 9133 11025 13866 5021 16201 16217 6166 7438 17185 1324 5671 11586 2266 6335 7716 512 9515 11595 869 6096 13886 10049 12536 14474 470 8286 8306 1268 5478 6424 8178 8817 14506 11460 15128 16761 6364 10121 16806 9347 15211 16915 1587 3591 15546 17 4132 17071 1677 8810 15764 3862 7633 13685 3855 11931 12792 2652 13909 17080 5581 13919 16126 7129 8976 11152 6662 7845 13424 9751 9965 13847 3662 9308 9534 4283 7474 7682 2418 8774 13433 508 3864 6859 12098 13920 15326 1129 3271 16892 5072 8819 10323 4749 4984 6390 212 13603 14893 4966 8895 9320 1012 3677 5711 6654 9969 15178 4596 5147 5905 1541 4149 15594 8005 8604 15147 2519 10882 11961 190 8417 13600 3543 4639 14618 A receiving apparatus / method comprising a group-wise de-interleaving unit / step that restores the order of the LDPC code after group-wise interleaving to the original order from data transmitted from a transmitting apparatus.

[0020] The seventh transmitting method / apparatus of the present technology includes an encoding step / unit that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 14 / 16, a group-wise interleaving step / unit that performs group-wise interleaving by interleaving the LDPC code in units of 360-bit bit groups, and a mapping step / unit that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69120-bit LDPC code is changed to the bit group 20, 118, 185, 106, 82, 53, 41, 40, 121, 180, 45, 10, 145, 175, 191, 160, 177, 172, 13, 29, 133, 42, 89, 51, 141, 99, 7, 134, 52, 48, 169, 162, 124, 25, 165, 128, 95, 148, 98, 171, 14, 75, 59, 26, 76, 47, 34, 122, 69, 131, 105, 60, 132, 63, 81, 109, 43, 189, 19, 186, 79, 62, 85, 54, 16, 46, 27, 44, 139, 113, 11, 102, 130, 184, 119, 1, 152, 146, 37, 178, 61, 150, 32, 163, 92, 166, 142, 67, 140, 157, 188, 18, 87, 149, 65, 183, 161, 5, 31, 71, 173, 73, 15, 138, 156, 28, 66, 170, 179, 135, 86, 39, 104, 17, 154, 174, 56, 153, 0, 97, 9, 72, 23, 167, 190, 80, 3, 38, 120, 4, 24, 159, 12, 103, 22, 125, 83, 50, 6, 77, 168, 74, 93, 49, 57, 147, 2, 155, 181, 96, 114, 107, 110, 30, 117, 127, 101, 94, 129, 35, 58, 70, 126, 182, 151, 111, 91, 64, 88, 144, 137, 143, 176, 84, 136, 8, 112, 123, 164, 115, 78, 36, 90, 100, 55, 108, 21, 158, 68, 33, 116, 187 Interleave the order and the LDPC code includes information bits and parity bits, the check matrix includes an information matrix part corresponding to the information bits and a parity matrix part corresponding to the parity bits, the information matrix part is represented by a check matrix initial value table, and the check matrix initial value table is a table that represents the positions of the 1 elements of the information matrix part every 360 columns, 387 648 945 3023 3889 4856 5002 5167 6868 7477 7590 8165 8354 42 406 1279 1968 3016 4196 4599 4996 5019 6350 6785 7051 8529 534 784 1034 1160 2530 5033 5171 5469 6167 6372 6913 7718 8621 944 2506 2806 3149 3559 5101 6076 6083 6092 6147 6866 7908 8155 308 1869 1888 2569 3297 4742 5232 5442 6135 6814 7284 8238 8405 34 464 667 899 2421 3425 5382 6258 6373 6399 6489 7367 7922 2276 3014 3525 3829 4135 4276 4611 4733 4738 4956 6025 7152 8155 1047 1370 2406 2819 4600 4991 5017 5590 6199 6483 6556 6834 7760 66 380 2033 3698 4068 6096 6223 6238 6757 7541 7641 7677 8595 562 697 782 808 921 1703 3032 4300 7027 7481 7839 8160 8526 236 962 1557 2023 2135 2190 2892 3072 4523 6254 6838 7209 7381 196 1167 1179 1426 1675 1763 2345 2560 2613 5024 5761 6522 7973 512 822 1778 1924 2610 3445 4570 4805 5263 5299 8439 8448 8464 1923 2270 3204 3698 4456 4522 4601 5161 5207 6260 6310 6441 6851 104 281 622 1276 2172 2334 2731 3417 3854 4698 8095 8195 8333 451 528 1269 2169 2274 2393 3853 5002 5543 6121 6351 7364 8139 1685 2675 2790 2953 3103 3560 4336 5372 5495 5568 6429 6492 8206 604 1190 1279 2427 2714 3283 3312 3855 4566 6045 6664 6788 8317 338 917 1873 2102 2561 2655 4635 4765 5370 6249 6724 7668 8456 184 1166 1583 1859 2376 2521 3093 4181 4713 4926 5146 6070 8004 175 1227 2367 3402 3628 3982 4265 4282 4355 5972 6434 7280 7765 801 922 1029 1531 1606 3170 3824 4358 4732 4849 5225 6759 8183 509 1507 1704 1765 2183 2574 3271 4050 4299 4964 5968 6324 7091 567 795 1376 2390 2767 3424 5195 6355 6726 7607 8346 8352 308 1060 1973 2364 2937 3526 4221 4745 5185 5845 6146 7762 323 590 732 917 2636 3008 3792 3990 4322 4893 5211 8014 471 1249 1674 1841 2567 3124 3130 4885 5575 7521 7648 8227 1582 1669 1772 2386 3340 3387 3881 4322 6018 6055 6488 7177 976 1003 2127 3575 3816 6225 7404 7499 7542 8237 8421 8630 675 961 1957 3825 3858 4646 5248 5801 5940 6533 7040 8037 79 639 1363 1436 1763 2570 3874 4876 6870 6886 7104 8399 20 297 1330 2264 3287 3534 4441 4746 6569 6971 6976 8179 482 1125 1589 2892 3759 3871 4635 6038 6214 6796 6816 7621 1127 3336 3867 3929 4269 4794 5054 5842 6471 6547 7039 8560 217 1521 1983 8283 3731 4402 208 6703 242 4988 4170 5038 4108 8035 3301 8543 3168 8249 5028 5838 3470 8597 2901 5264 2505 4505 934 5117 1712 5819 3165 7273 3274 6115 4576 6330 7327 5380 6732 8439 2474 3723 7782 384 2783 5846 1453 4436 6625 3220 4261 4835 163 3117 7554 502 2119 4059 2200 4263 4930 2378 6294 7713 743 5501 6809 1364 6062 7808 4680 6468 7895 3469 3602 7304 1609 5386 5647 267 2921 3206 2565 3020 6269 1651 5224 5718 1128 5058 8579 286 3396 7660 1497 5171 6519 1894 6349 7924 1306 7744 8083 3096 3438 3836 2556 7409 8570 3273 4245 7935 1633 2023 3125 584 4914 6062 2015 2915 3435 1457 6366 6461 23 3576 8132 5322 6300 6520 5715 7113 7822 2044 5053 6607 63 5432 7850 5353 6355 8637 346 590 2648 4780 5997 6991 2556 2583 6537 661 2497 8350 7610 8307 8441 671 860 5986 1133 3158 5891 4360 5802 6547 4782 5688 6955 447 5030 6268 1501 5163 7232 1133 2743 3214 959 4100 7554 5712 7643 8385 1442 3180 8008 697 3078 8421 137 922 5123 597 2879 6340 824 2071 7882 1827 4411 5941 3846 5970 6398 1561 1580 7668 4335 6936 8042 4504 5309 6737 1846 3273 3333 272 4885 6718 1835 4761 6931 2141 3760 5129 3975 5012 6504 1258 2822 6030 242 4947 7668 559 6100 8425 1655 1962 4401 2369 2476 2765 114 156 3195 1651 4154 4448 4669 6064 7317 4988 5567 6697 2963 5578 5679 2064 2286 7790 289 4639 7582 1258 4312 5340 2428 4219 7268 1752 2321 6806 118 7302 8603 4170 4280 4445 2207 5067 7257 2 55 7413 1141 4791 7149 3407 5649 8075 2773 3198 3720 6970 7222 8633 2498 4764 5281 1048 2093 5031 2500 2851 8396 1694 3795 6666 2565 3343 4688 4228 4374 5947 2267 6745 7172 175 2662 3926 90 1517 6056 4069 5439 7648 1679 3394 4707 2136 4553 8265 482 2100 2302 3306 3729 8063 5263 7710 8240 1001 1335 4500 576 6736 7250 181 3601 3755 5899 7515 7714 1181 5332 7197 542 1150 1196 1386 2156 5873 656 3019 3213 263 1117 5957 4495 5904 6462 2547 2786 4215 4954 5848 6225 940 4478 7633 2124 3347 7069 It is a transmission method / apparatus.

[0021] The seventh receiving apparatus / method of the present technology includes an encoding unit that performs LDPC encoding based on a check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 14 / 16, a group-wise interleaving unit that performs group-wise interleaving of the LDPC code in units of 360-bit bit groups, and a mapping unit that maps the LDPC code in units of 10 bits to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is set as the bit group i, and the arrangement of bit groups 0 to 191 of the 69120-bit LDPC code is changed to bit group 20, 118, 185, 106, 82, 53, 41, 40, 121, 180, 45, 10, 145, 175, 191, 160, 177, 172, 13, 29, 133, 42, 89, 51, 141, 99, 7, 134, 52, 48, 169, 162, 124, 25, 165, 128, 95, 148, 98, 171, 14, 75, 59, 26, 76, 47, 34, 122, 69, 131, 105, 60, 132, 63, 81, 109, 43, 189, 19, 186, 79, 62, 85, 54, 16, 46, 27, 44, 139, 113, 11, 102, 130, 184, 119, 1, 152, 146, 37, 178, 61, 150, 32, 163, 92, 166, 142, 67, 140, 157, 188, 18, 87, 149, 65, 183, 161, 5, 31, 71, 173, 73, 15, 138, 156, 28, 66, 170, 179, 135, 86, 39, 104, 17, 154, 174, 56, 153, 0, 97, 9, 72, 23, 167, 190, 80, 3, 38, 120, 4, 24, 159, 12, 103, 22, 125, 83, 50, 6, 77, 168, 74, 93, 49, 57, 147, 2, 155, 181, 96, 114, 107, 110, 30, 117, 127, 101, 94, 129, 35, 58, 70, 126, 182, 151, 111, 91, 64, 88, 144, 137, 143, 176, 84, 136, 8, 112, 123, 164, 115, 78, 36, 90, 100, 55, 108, 21, 158, 68, 33, 116, 187 Interleave the order and include the LDPC code with information bits and parity bits. The check matrix includes an information matrix part corresponding to the information bits and a parity matrix part corresponding to the parity bits. The information matrix part is represented by a check matrix initial value table, and the check matrix initial value table is a table that represents the positions of the 1 elements of the information matrix part every 360 columns, 387 648 945 3023 3889 4856 5002 5167 6868 7477 7590 8165 8354 42 406 1279 1968 3016 4196 4599 4996 5019 6350 6785 7051 8529 534 784 1034 1160 2530 5033 5171 5469 6167 6372 6913 7718 8621 944 2506 2806 3149 3559 5101 6076 6083 6092 6147 6866 7908 8155 308 1869 1888 2569 3297 4742 5232 5442 6135 6814 7284 8238 8405 34 464 667 899 2421 3425 5382 6258 6373 6399 6489 7367 7922 2276 3014 3525 3829 4135 4276 4611 4733 4738 4956 6025 7152 8155 1047 1370 2406 2819 4600 4991 5017 5590 6199 6483 6556 6834 7760 66 380 2033 3698 4068 6096 6223 6238 6757 7541 7641 7677 8595 562 697 782 808 921 1703 3032 4300 7027 7481 7839 8160 8526 236 962 1557 2023 2135 2190 2892 3072 4523 6254 6838 7209 7381 196 1167 1179 1426 1675 1763 2345 2560 2613 5024 5761 6522 7973 512 822 1778 1924 2610 3445 4570 4805 5263 5299 8439 8448 8464 1923 2270 3204 3698 4456 4522 4601 5161 5207 6260 6310 6441 6851 104 281 622 1276 2172 2334 2731 3417 3854 4698 8095 8195 8333 451 528 1269 2169 2274 2393 3853 5002 5543 6121 6351 7364 8139 1685 2675 2790 2953 3103 3560 4336 5372 5495 5568 6429 6492 8206 604 1190 1279 2427 2714 3283 3312 3855 4566 6045 6664 6788 8317 338 917 1873 2102 2561 2655 4635 4765 5370 6249 6724 7668 8456 184 1166 1583 1859 2376 2521 3093 4181 4713 4926 5146 6070 8004 175 1227 2367 3402 3628 3982 4265 4282 4355 5972 6434 7280 7765 801 922 1029 1531 1606 3170 3824 4358 4732 4849 5225 6759 8183 509 1507 1704 1765 2183 2574 3271 4050 4299 4964 5968 6324 7091 567 795 1376 2390 2767 3424 5195 6355 6726 7607 8346 8352 308 1060 1973 2364 2937 3526 4221 4745 5185 5845 6146 7762 323 590 732 917 2636 3008 3792 3990 4322 4893 5211 8014 471 1249 1674 1841 2567 3124 3130 4885 5575 7521 7648 8227 1582 1669 1772 2386 3340 3387 3881 4322 6018 6055 6488 7177 976 1003 2127 3575 3816 6225 7404 7499 7542 8237 8421 8630 675 961 1957 3825 3858 4646 5248 5801 5940 6533 7040 8037 79 639 1363 1436 1763 2570 3874 4876 6870 6886 7104 8399 20 297 1330 2264 3287 3534 4441 4746 6569 6971 6976 8179 482 1125 1589 2892 3759 3871 4635 6038 6214 6796 6816 7621 1127 3336 3867 3929 4269 4794 5054 5842 6471 6547 7039 8560 217 1521 1983 8283 3731 4402 208 6703 242 4988 4170 5038 4108 8035 3301 8543 3168 8249 5028 5838 3470 8597 2901 5264 2505 4505 934 5117 1712 5819 3165 7273 3274 6115 4576 6330 7327 5380 6732 8439 2474 3723 7782 384 2783 5846 1453 4436 6625 3220 4261 4835 163 3117 7554 502 2119 4059 2200 4263 4930 2378 6294 7713 743 5501 6809 1364 6062 7808 4680 6468 7895 3469 3602 7304 1609 5386 5647 267 2921 3206 2565 3020 6269 1651 5224 5718 1128 5058 8579 286 3396 7660 1497 5171 6519 1894 6349 7924 1306 7744 8083 3096 3438 3836 2556 7409 8570 3273 4245 7935 1633 2023 3125 584 4914 6062 2015 2915 3435 1457 6366 6461 23 3576 8132 5322 6300 6520 5715 7113 7822 2044 5053 6607 63 5432 7850 5353 6355 8637 346 590 2648 4780 5997 6991 2556 2583 6537 661 2497 8350 7610 8307 8441 671 860 5986 1133 3158 5891 4360 5802 6547 4782 5688 6955 447 5030 6268 1501 5163 7232 1133 2743 3214 959 4100 7554 5712 7643 8385 1442 3180 8008 697 3078 8421 137 922 5123 597 2879 6340 824 2071 7882 1827 4411 5941 3846 5970 6398 1561 1580 7668 4335 6936 8042 4504 5309 6737 1846 3273 3333 272 4885 6718 1835 4761 6931 2141 3760 5129 3975 5012 6504 1258 2822 6030 242 4947 7668 559 6100 8425 1655 1962 4401 2369 2476 2765 114 156 3195 1651 4154 4448 4669 6064 7317 4988 5567 6697 2963 5578 5679 2064 2286 7790 289 4639 7582 1258 4312 5340 2428 4219 7268 1752 2321 6806 118 7302 8603 4170 4280 4445 2207 5067 7257 2 55 7413 1141 4791 7149 3407 5649 8075 2773 3198 3720 6970 7222 8633 2498 4764 5281 1048 2093 5031 2500 2851 8396 1694 3795 6666 2565 3343 4688 4228 4374 5947 2267 6745 7172 175 2662 3926 90 1517 6056 4069 5439 7648 1679 3394 4707 2136 4553 8265 482 2100 2302 3306 3729 8063 5263 7710 8240 1001 1335 4500 576 6736 7250 181 3601 3755 5899 7515 7714 1181 5332 7197 542 1150 1196 1386 2156 5873 656 3019 3213 263 1117 5957 4495 5904 6462 2547 2786 4215 4954 5848 6225 940 4478 7633 2124 3347 7069 A receiving apparatus / method comprising a group-wise deinterleaving unit / step for restoring the order of the LDPC code after group-wise interleaving to the original order from data transmitted from a transmitting apparatus which is as follows.

[0022] In the first transmitting method / apparatus of the present technology, LDPC coding is performed based on a check matrix of an LDPC code with a code length N of 69120 bits and a coding rate r of 2 / 16, and group-wise interleaving is performed in which the LDPC code is interleaved in units of 360-bit bit groups. Then, the LDPC code is mapped to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM in units of 10 bits. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69120-bit LDPC code is the bit group 178, 39, 54, 68, 122, 20, 86, 137, 156, 55, 52, 72, 130, 152, 147, 12, 69, 48, 107, 44, 88, 23, 181, 174, 124, 81, 59, 93, 22, 46, 82, 110, 3, 99, 75, 36, 38, 119, 131, 51, 115, 78, 84, 33, 163, 11, 2, 188, 161, 34, 89, 50, 8, 90, 109, 136, 77, 103, 67, 41, 149, 176, 134, 189, 159, 184, 153, 53, 129, 63, 160, 139, 150, 169, 148, 127, 25, 175, 142, 98, 56, 144, 102, 94, 101, 85, 132, 76, 5, 177, 0, 128, 45, 162, 92, 62, 133, 30, 17, 9, 61, 70, 154, 4, 146, 24, 135, 104, 13, 185, 79, 138, 31, 112, 1, 49, 113, 106, 100, 65, 10, 83, 73, 26, 58, 114, 66, 126, 117, 96, 186, 14, 40, 164, 158, 118, 29, 121, 151, 168, 183, 179, 16, 105, 125, 190, 116, 165, 80, 64, 170, 140, 171, 173, 97, 60, 43, 123, 71, 182, 167, 95, 145, 141, 187, 166, 87, 143, 15, 74, 111, 157, 32, 172, 18, 57, 35, 191, 27, 47, 21, 6, 19, 155, 42, 120, 180, 37, 28, 91, 108, 7 are interleaved with the order of . The check matrix initial value table that defines the check matrix is as described above.

[0023] In the first receiving apparatus / method of the present technology, the order of the LDPC codes after group-wise interleaving obtained from the data transmitted from the first transmitting apparatus that implements the first transmission method is restored to the original order.

[0024] In the second transmission method / apparatus of the present technology, LDPC coding is performed based on a check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 4 / 16, and group-wise interleaving is performed to interleave the LDPC code in units of 360-bit bit groups. Then, the LDPC code is mapped to any one of 1,024 signal points of a UC (Uniform Constellation) of 1,024QAM in units of 10 bits. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 139, 112, 159, 99, 87, 70, 175, 161, 51, 56, 174, 143, 12, 36, 77, 60, 155, 167, 160, 73, 127, 82, 123, 145, 8, 76, 164, 178, 144, 86, 7, 124, 27, 187, 130, 162, 191, 182, 16, 106, 141, 38, 72, 179, 111, 29, 59, 183, 66, 52, 43, 121, 20, 11, 190, 92, 55, 166, 94, 138, 1, 122, 171, 119, 109, 58, 23, 31, 163, 53, 13, 188, 100, 158, 156, 136, 34, 118, 185, 10, 25, 126, 104, 30, 83, 47, 146, 63, 134, 39, 21, 44, 151, 28, 22, 79, 110, 71, 90, 2, 103, 42, 35, 5, 57, 4, 0, 107, 37, 54, 18, 128, 148, 129, 26, 75, 120, 19, 116, 117, 147, 114, 48, 96, 61, 46, 88, 67, 135, 65, 180, 9, 74, 176, 6, 149, 49, 50, 125, 64, 169, 168, 157, 153, 24, 108, 89, 98, 33, 132, 93, 40, 154, 62, 142, 41, 69, 105, 189, 115, 152, 45, 133, 3, 95, 17, 186, 184, 85, 165, 32, 173, 113, 172, 78, 181, 150, 170, 102, 97, 140, 81, 91, 15, 137, 101, 80, 68, 14, 177, 131, 84 are interleaved with the order of . The inspection matrix initial value table that defines the inspection matrix is as described above.

[0025] In the second receiving apparatus / method of the present technology, the order of the LDPC code after groupwise interleaving, obtained from data transmitted from a second transmitting apparatus that implements a second transmission method, is restored to the original order.

[0026] In the third transmission method / apparatus of the present technology, LDPC coding is performed based on a parity-check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 6 / 16, and groupwise interleaving is performed to interleave the LDPC code in units of 360-bit bit groups. Then, the LDPC code is mapped to any one of 1,024 signal points of a 1024QAM UC (Uniform Constellation) in units of 10 bits. In the groupwise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 21, 20, 172, 86, 178, 25, 104, 133, 17, 106, 191, 68, 80, 190, 129, 29, 125, 108, 147, 23, 94, 167, 27, 61, 12, 166, 131, 120, 159, 28, 7, 62, 134, 59, 78, 0, 121, 149, 6, 5, 143, 171, 153, 161, 186, 35, 92, 113, 55, 163, 16, 54, 93, 79, 37, 44, 75, 182, 127, 148, 179, 95, 169, 141, 38, 168, 128, 56, 31, 57, 175, 140, 164, 24, 177, 88, 51, 112, 49, 185, 170, 87, 32, 60, 65, 77, 89, 3, 18, 116, 184, 45, 109, 53, 160, 9, 100, 8, 111, 69, 189, 36, 173, 33, 72, 144, 183, 115, 137, 98, 90, 142, 30, 154, 180, 122, 155, 130, 83, 138, 14, 41, 150, 132, 70, 152, 117, 11, 4, 124, 15, 42, 181, 58, 10, 22, 145, 99, 126, 107, 66, 174, 39, 13, 97, 63, 123, 84, 85, 67, 76, 158, 71, 46, 118, 81, 162, 146, 135, 2, 73, 50, 114, 82, 103, 188, 74, 101, 157, 151, 91, 119, 102, 48, 1, 40, 43, 64, 156, 34, 110, 52, 96, 136, 139, 165, 19, 176, 187, 47, 26, 105 are interleaved with the order of . The check matrix initial value table that defines the check matrix is as described above.

[0027] In the third receiving apparatus / method of the present technology, the order of the LDPC codes after group-wise interleaving obtained from the data transmitted from the third transmitting apparatus that implements the third transmission method is restored to the original order.

[0028] In the fourth transmission method / apparatus of the present technology, LDPC coding is performed based on a parity-check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 8 / 16, and group-wise interleaving is performed to interleave the LDPC code in units of 360-bit bit groups. Then, the LDPC code is mapped to any one of 1,024 signal points of UC (Uniform Constellation) of 1,024QAM in units of 10 bits. In the group-wise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 160, 7, 29, 39, 110, 189, 140, 143, 163, 130, 173, 71, 191, 106, 60, 62, 149, 135, 9, 147, 124, 152, 55, 116, 85, 112, 14, 20, 79, 103, 156, 167, 19, 45, 73, 26, 159, 44, 86, 76, 56, 12, 109, 117, 128, 67, 150, 151, 31, 27, 133, 17, 120, 153, 108, 180, 52, 187, 98, 63, 176, 186, 179, 113, 161, 32, 24, 111, 41, 95, 38, 10, 154, 97, 141, 2, 127, 40, 105, 34, 11, 185, 155, 61, 114, 74, 158, 162, 5, 177, 43, 51, 148, 137, 28, 181, 171, 13, 104, 42, 168, 93, 172, 144, 80, 123, 89, 81, 68, 75, 78, 121, 53, 65, 122, 142, 157, 107, 136, 66, 90, 23, 8, 1, 77, 54, 125, 174, 35, 88, 82, 134, 101, 131, 33, 50, 87, 36, 15, 47, 83, 18, 6, 21, 30, 94, 72, 145, 138, 184, 69, 84, 58, 49, 16, 48, 70, 183, 3, 92, 25, 115, 0, 182, 139, 91, 146, 102, 96, 100, 119, 129, 178, 46, 37, 57, 118, 126, 59, 165, 170, 190, 188, 175, 166, 99, 4, 22, 132, 164, 64, 169 are interleaved with the order of . The check matrix initial value table that defines the check matrix is as described above.

[0029] In the fourth receiving apparatus / method of the present technology, the order of the LDPC codes after groupwise interleaving, obtained from the data transmitted from the fourth transmitting apparatus that implements the fourth transmission method, is restored to the original order.

[0030] In the fifth transmission method / apparatus of the present technology, LDPC coding is performed based on a check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 10 / 16, and groupwise interleaving is performed to interleave the LDPC code in units of 360-bit bit groups. Then, the LDPC code is mapped to any one of 1,024 signal points of UC (Uniform Constellation) of 1,024QAM in units of 10 bits. In the groupwise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 167, 97, 86, 166, 11, 57, 187, 169, 104, 102, 108, 63, 12, 181, 1, 71, 134, 152, 45, 144, 124, 22, 0, 51, 100, 150, 179, 54, 66, 79, 25, 172, 59, 48, 23, 55, 64, 185, 164, 123, 56, 80, 153, 9, 177, 176, 81, 17, 14, 43, 76, 27, 175, 60, 133, 91, 61, 41, 111, 163, 72, 95, 84, 67, 129, 52, 88, 121, 7, 49, 168, 154, 74, 138, 142, 158, 132, 127, 40, 139, 20, 44, 6, 128, 75, 114, 119, 2, 8, 157, 98, 118, 89, 46, 160, 190, 5, 165, 28, 68, 189, 161, 112, 173, 148, 183, 33, 131, 105, 186, 156, 70, 117, 170, 174, 36, 19, 135, 125, 122, 50, 113, 141, 37, 38, 31, 94, 149, 78, 32, 178, 34, 107, 13, 182, 146, 93, 10, 106, 109, 4, 77, 87, 3, 184, 83, 30, 180, 96, 15, 155, 110, 145, 191, 151, 101, 65, 99, 115, 140, 26, 147, 42, 136, 137, 18, 53, 116, 171, 16, 21, 92, 162, 130, 85, 69, 47, 35, 82, 120, 24, 73, 39, 58, 62, 126, 29, 90, 143, 159, 188, 103 are interleaved with the order. The check matrix initial value table that defines the check matrix is as described above.

[0031] In the fifth receiving apparatus / method of the present technology, the order of the LDPC codes after groupwise interleaving obtained from the data transmitted from the fifth transmitting apparatus that implements the fifth transmission method is restored to the original order.

[0032] In the sixth transmission method / apparatus of the present technology, LDPC coding is performed based on a parity-check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 12 / 16, and groupwise interleaving is performed in which the LDPC code is interleaved in units of 360-bit bit groups. Then, the LDPC code is mapped to any one of 1,024 signal points of a 1,024QAM UC (Uniform Constellation) in units of 10 bits. In the groupwise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 74, 151, 79, 49, 174, 180, 133, 106, 116, 16, 163, 62, 164, 45, 187, 128, 176, 2, 126, 136, 63, 28, 118, 173, 19, 46, 93, 121, 162, 88, 0, 147, 131, 54, 117, 138, 69, 182, 68, 143, 78, 15, 7, 59, 109, 32, 10, 179, 165, 90, 73, 71, 171, 135, 123, 125, 31, 22, 70, 185, 155, 60, 120, 113, 41, 154, 177, 85, 64, 55, 26, 129, 84, 38, 166, 44, 30, 183, 189, 191, 124, 77, 80, 98, 190, 167, 140, 52, 153, 43, 25, 188, 103, 152, 137, 76, 149, 34, 172, 122, 40, 168, 141, 96, 142, 58, 110, 65, 9, 36, 42, 50, 184, 105, 156, 127, 8, 61, 146, 169, 181, 5, 87, 150, 91, 17, 18, 24, 112, 81, 170, 95, 29, 100, 130, 48, 159, 72, 75, 160, 27, 108, 148, 66, 144, 97, 57, 115, 114, 1, 132, 4, 21, 92, 11, 107, 175, 67, 145, 14, 186, 20, 51, 39, 3, 86, 89, 47, 53, 102, 82, 139, 23, 104, 157, 99, 158, 12, 161, 35, 178, 37, 134, 83, 94, 101, 111, 119, 6, 33, 13, 56 are interleaved with the sequence . The check matrix initial value table that defines the check matrix is as described above.

[0033] In the sixth receiving apparatus / method of the present technology, the order of the LDPC code after groupwise interleaving obtained from data transmitted from a sixth transmitting apparatus that implements a sixth transmitting method is restored to the original order.

[0034] In the seventh transmitting method / apparatus of the present technology, LDPC coding is performed based on a check matrix of an LDPC code with a code length N of 69,120 bits and a coding rate r of 14 / 16, and groupwise interleaving is performed to interleave the LDPC code in units of 360-bit bit groups. Then, the LDPC code is mapped to any one of 1,024 signal points of UC (Uniform Constellation) of 1,024QAM in units of 10 bits. In the groupwise interleaving, the (i + 1)-th bit group from the head of the LDPC code is used as the bit group i, and the order of the bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 20, 118, 185, 106, 82, 53, 41, 40, 121, 180, 45, 10, 145, 175, 191, 160, 177, 172, 13, 29, 133, 42, 89, 51, 141, 99, 7, 134, 52, 48, 169, 162, 124, 25, 165, 128, 95, 148, 98, 171, 14, 75, 59, 26, 76, 47, 34, 122, 69, 131, 105, 60, 132, 63, 81, 109, 43, 189, 19, 186, 79, 62, 85, 54, 16, 46, 27, 44, 139, 113, 11, 102, 130, 184, 119, 1, 152, 146, 37, 178, 61, 150, 32, 163, 92, 166, 142, 67, 140, 157, 188, 18, 87, 149, 65, 183, 161, 5, 31, 71, 173, 73, 15, 138, 156, 28, 66, 170, 179, 135, 86, 39, 104, 17, 154, 174, 56, 153, 0, 97, 9, 72, 23, 167, 190, 80, 3, 38, 120, 4, 24, 159, 12, 103, 22, 125, 83, 50, 6, 77, 168, 74, 93, 49, 57, 147, 2, 155, 181, 96, 114, 107, 110, 30, 117, 127, 101, 94, 129, 35, 58, 70, 126, 182, 151, 111, 91, 64, 88, 144, 137, 143, 176, 84, 136, 8, 112, 123, 164, 115, 78, 36, 90, 100, 55, 108, 21, 158, 68, 33, 116, 187 are interleaved with the order of . The check matrix initial value table that defines the check matrix is as described above.

[0035] In the seventh receiving apparatus / method of the present technology, the order of the LDPC code after group-wise interleaving obtained from the data transmitted from the seventh transmitting apparatus that implements the seventh transmission method is restored to the original order.

[0036] Note that each of the transmitting apparatus and the receiving apparatus may be an independent apparatus or an internal block constituting one apparatus.

Advantages of the Invention

[0037] According to the present technology, in data transmission using an LDPC code, good communication quality can be ensured.

[0038] Note that the effects described here are not necessarily limited, and any of the effects described in the present disclosure may be applicable.

Brief Description of the Drawings

[0039]

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Embodiment for Carrying Out the Invention

[0040] Hereinafter, embodiments of this technology will be described. Before that, however, LDPC codes will be described.

[0041] <LDPC Code>

[0042] Note that LDPC codes are linear codes and do not necessarily have to be binary. However, here, they will be described as being binary.

[0043] The most characteristic feature of LDPC codes is that the parity check matrix defining the LDPC codes is sparse. Here, a sparse matrix is a matrix in which the number of "1"s in the elements of the matrix is very small (a matrix in which most elements are 0).

[0044] FIG. 1 is a diagram showing an example of the parity check matrix H of an LDPC code.

[0045] In the parity check matrix H of FIG. 1, the weight of each column (column weight) (the number of "1"s) (weight) is "3", and the weight of each row (row weight) is "6".

[0046] In encoding with LDPC codes (LDPC encoding), for example, a generator matrix G is generated based on the parity check matrix H, and the LDPC code (codeword) is generated by multiplying this generator matrix G by binary information bits.

[0047] Specifically, an encoding device that performs LDPC encoding first calculates the transposed matrix H of the parity check matrix H T and, between them, the equation GH TCalculate a generator matrix G for which =0 holds. Here, when the generator matrix G is a K×N matrix, the encoder multiplies a bit sequence (vector u) of information bits consisting of K bits by the generator matrix G to generate a codeword c (= uG) consisting of N bits. The codeword (LDPC code) generated by this encoder is received on the receiving side via a predetermined communication channel.

[0048] The decoding of the LDPC code is an algorithm proposed by Gallager called Probabilistic Decoding, and it can be performed by a message-passing algorithm based on belief propagation on a so-called Tanner graph consisting of variable nodes (also called message nodes) and check nodes. Hereinafter, variable nodes and check nodes will be simply referred to as nodes as appropriate.

[0049] Figure 2 is a flowchart showing the procedure for decoding the LDPC code.

[0050] Note that hereinafter, as appropriate, a real value (received LLR) obtained by expressing the "0-likeness" of the value of the i-th code bit of the LDPC code (one codeword) received on the receiving side in terms of the log likelihood ratio will be referred to as the received value u 0i as well. Also, the message output from the check node is denoted as u j and the message output from the variable node is denoted as v i as follows.

[0051] First, in the decoding of the LDPC code, as shown in Figure 2, in step S11, the LDPC code is received, the message (check node message) u j is initialized to "0", and a variable k that takes an integer as a counter for the iterative process is initialized to "0", and the process proceeds to step S12. In step S12, the received value u obtained by receiving the LDPC code0i Based on this, by performing the operation (variable node operation) shown in Equation (1), a message (variable node message) v i is obtained. Furthermore, based on this message v i by performing the operation (check node operation) shown in Equation (2), a message u j is obtained.

[0052]

Number

[0053]

Number

[0054] Here, d v and d c in Equation (1) and Equation (2) are respectively parameters that can be arbitrarily selected and indicate the number of "1"s in the vertical direction (column) and horizontal direction (row) of the parity-check matrix H. For example, in the case of an LDPC code ((3,6) LDPC code) with a column weight of 3 and a row weight of 6 for the parity-check matrix H shown in FIG. 1, d v = 3, d c = 6.

[0055] Note that in the variable node operation of Equation (1) and the check node operation of (2), respectively, the messages input from the branches (edges) (lines connecting variable nodes and check nodes) from which messages are to be output are not the targets of the operations. Therefore, the range of the operations is from 1 to d v - 1 or from 1 to d c - 1. Also, the check node operation of Equation (2) is actually performed by creating in advance a table of the function R(v 1 , v 2 ) shown in Equation (3) which is defined as a single output for two inputs v 1 , v 2 and using this continuously (recursively) as shown in Equation (4).

[0056]

Number

[0057]

Number

[0058] In step S12, further, the variable k is incremented by only "1" and proceeds to step S13. In step S13, it is determined whether the variable k is greater than a predetermined number of decoding repetitions C. In step S13, if it is determined that the variable k is not greater than C, it returns to step S12, and the following similar processing is repeated.

[0059] Also, in step S13, if it is determined that the variable k is greater than C, it proceeds to step S14, and the message v i as the decoding result to be finally output is obtained by performing the operation shown in equation (5) and output, and the decoding process of the LDPC code ends.

[0060]

Number

[0061] Here, the operation of equation (5) is different from the variable node operation of equation (1) and is performed using all the messages u j from all the branches connected to the variable node.

[0062] Figure 3 is a diagram showing an example of the parity-check matrix H of a (3,6) LDPC code (coding rate 1 / 2, code length 12).

[0063] In the parity-check matrix H of Figure 3, as in Figure 1, the column weight is 3 and the row weight is 6, respectively.

[0064] Figure 4 is a diagram showing the Tanner graph of the parity-check matrix H of Figure 3.

[0065] Here, in FIG. 4, what is represented by the plus sign "+" is the check node, and what is represented by the equal sign "=" is the variable node. The check node and the variable node respectively correspond to the rows and columns of the check matrix H. The connection line between the check node and the variable node is an edge, which corresponds to the "1" of the elements of the check matrix.

[0066] That is, when the element in the j-th row and i-th column of the check matrix is 1, in FIG. 4, the i-th variable node ("=" node) from the top and the j-th check node ("+" node) from the top are connected by an edge. The edge represents that the code bit corresponding to the variable node has the constraint condition corresponding to the check node.

[0067] In the sum product algorithm, which is a decoding method for LDPC codes, variable node operations and check node operations are repeatedly performed.

[0068] FIG. 5 is a diagram showing the variable node operation performed at the variable node.

[0069] At the variable node, the message v i corresponding to the edge to be calculated is obtained by the variable node operation of Equation (1) using the messages u 1 and u 2 from the remaining edges connected to the variable node, and the received value u 0i . The messages corresponding to the other edges are obtained in the same way.

[0070] FIG. 6 is a diagram showing the check node operation performed at the check node.

[0071] Here, the check node operation of Equation (2) can be rewritten as Equation (6) by using the relationship of the equation a×b = exp{ln(|a|)+ln(|b|)}×sign(a)×sign(b). However, sign(x) is 1 when x≧0 and -1 when x<0.

[0072]

Number

[0073] When x≧0, if the function φ(x) is defined as the equation φ(x)=ln(tanh(x / 2)), then the equation φ -1 (x)=2tanh -1 (e -x ) holds. Therefore, Equation (6) can be transformed into Equation (7).

[0074]

Number

[0075] At the check node, the check node operation of Equation (2) is performed according to Equation (7).

[0076] That is, at the check node, as shown in Figure 6, the message u j corresponding to the branch to be calculated is obtained by the check node operation of Equation (7) using the messages v 1 , v 2 , v 3 , v 4 , v 5 from the remaining branches connected to the check node. The messages corresponding to the other branches are obtained in the same way.

[0077] Note that the function φ(x) of Equation (7) can be expressed as the equation φ(x)=ln((e x + 1) / (e x - 1)), and when x>0, φ(x)=φ -1 (x). The functions φ(x) and φ -1When implementing (x) in hardware, it may be implemented using a LUT (Look Up Table), and both will use the same LUT.

[0078] <Configuration example of a transmission system to which the present technology is applied>

[0079] FIG. 7 is a diagram showing a configuration example of an embodiment of a transmission system (a system refers to a logically aggregated set of a plurality of devices, and it does not matter whether the devices of each configuration are in the same housing) to which the present technology is applied.

[0080] In FIG. 7, the transmission system is composed of a transmission device 11 and a reception device 12.

[0081] The transmission device 11 performs transmission (broadcast) (transmission) of, for example, a program of television broadcast. That is, the transmission device 11 encodes target data to be transmitted, such as image data and audio data as a program, into an LDPC code, and transmits it via a communication path 13 such as a satellite line, a terrestrial wave, or a cable (wired line).

[0082] The reception device 12 receives the LDPC code transmitted from the transmission device 11 via the communication path 13, decodes it into the target data, and outputs it.

[0083] Here, the LDPC code used in the transmission system of FIG. 7 is known to exhibit extremely high performance in an AWGN (Additive White Gaussian Noise) communication path.

[0084] On the other hand, in communication path 13, burst errors and erasures may occur. For example, particularly when communication path 13 is a terrestrial wave, in an OFDM (Orthogonal Frequency Division Multiplexing) system, in a multipath environment where D / U (Desired to Undesired Ratio) is 0 dB (Undesired = the power of the echo is equal to the power of the Desired = main path), depending on the delay of the echo (a path other than the main path), the power of a specific symbol may become zero (erasure).

[0085] Also, in the case of flutter (a communication path where an echo with a Doppler frequency applied and a delay of 0 is added), when D / U is 0 dB, there may be a case where the power of the entire OFDM symbol at a specific time becomes zero (erasure) due to the Doppler frequency.

[0086] Furthermore, burst errors may occur due to the wiring situation from the receiving unit (not shown), such as an antenna that receives the signal from the transmitting device 11, to the receiving device 12 on the receiving device 12 side, and the instability of the power supply of the receiving device 12.

[0087] On the other hand, in the decoding of the LDPC code, in the columns of the check matrix H, and thus in the variable nodes corresponding to the code bits of the LDPC code, as shown in FIG. 5, since the variable node operation of Equation (1) involving the addition of the received values u 0i ) of the code bits of the LDPC code is performed, if an error occurs in the code bits used for the variable node operation, the accuracy of the required message decreases.

[0088] In the decoding of LDPC codes, at the check nodes, the check node operation of Equation (7) is performed using the messages obtained from the variable nodes connected to the check node. Therefore, when the number of check nodes where a plurality of connected variable nodes (the code bits of the LDPC code corresponding thereto) simultaneously have errors (including erasures) increases, the decoding performance deteriorates.

[0089] That is, for example, when two or more of the variable nodes connected to a check node simultaneously become erasures, the check node returns messages with equal probabilities of 0 and 1 to all the variable nodes. In this case, the check node that returns messages with equal probabilities does not contribute to one decoding process (one set of variable node operations and check node operations). As a result, a larger number of repetitions of the decoding process are required, the decoding performance deteriorates, and furthermore, the power consumption of the receiving device 12 that decodes the LDPC code increases.

[0090] Therefore, in the transmission system of FIG. 7, it is possible to improve the resistance to burst errors and erasures while maintaining the performance in an AWGN communication channel (AWGN channel).

[0091] <Configuration example of transmission device 11>

[0092] FIG. 8 is a block diagram showing a configuration example of the transmission device 11 of FIG. 7.

[0093] In the transmission device 11, one or more input streams as target data are supplied to a mode adaptation / multiplexer 111.

[0094] The mode adaptation / multiplexer 111 performs processes such as mode selection and multiplexing of one or more input streams supplied thereto as necessary, and supplies the resulting data to a padder 112.

[0095] The padding unit 112 performs necessary zero-padding (insertion of Null) on the data from the mode adaptation / multiplexer 111, and supplies the resulting data to the BB scrambler 113.

[0096] The BB scrambler 113 performs BB scrambling on the data from the padding unit 112, and supplies the resulting data to the BCH encoder 114.

[0097] The BCH encoder 114 BCH-encodes the data from the BB scrambler 113, and supplies the resulting data to the LDPC encoder 115 as LDPC target data to be LDPC-encoded.

[0098] The LDPC encoder 115 performs LDPC encoding on the LDPC target data from the BCH encoder 114 according to, for example, a check matrix in which the parity matrix corresponding to the parity bits of the LDPC code has a staircase (dual diagonal) structure, and outputs an LDPC code with the LDPC target data as information bits.

[0099] That is, the LDPC encoder 115 performs LDPC encoding to encode the LDPC target data into an LDPC code defined by a predetermined standard such as DVB-S.2, DVB-T.2, DVB-C.2, ATSC 3.0, etc. (corresponding to the check matrix) or other LDPC codes, and outputs the resulting LDPC code.

[0100] Here, the LDPC codes defined in the DVB-S.2 and ATSC3.0 standards, and the LDPC codes planned to be adopted in ATSC3.0 are IRA (Irregular Repeat Accumulate) codes, and the parity matrix (part or all) in the check matrix of the LDPC code has a staircase structure. The parity matrix and the staircase structure will be described later. Also, regarding IRA codes, for example, they are described in "Irregular Repeat-Accumulate Codes," H. Jin, A. Khandekar, and R. J. McEliece, in Proceedings of 2nd International Symposium on Turbo codes and Related Topics, pp. 1-8, Sept. 2000.

[0101] The LDPC code output by the LDPC encoder 115 is supplied to a bit interleaver 116.

[0102] The bit interleaver 116 performs bit interleaving, which will be described later, on the LDPC code from the LDPC encoder 115, and supplies the LDPC code after the bit interleaving to a mapper 117.

[0103] The mapper 117 maps the LDPC code from the bit interleaver 116 to a signal point representing one symbol of quadrature modulation in units of one or more code bits (symbol units) of the LDPC code, and performs quadrature modulation (multilevel modulation).

[0104] That is, the mapper 117 maps the LDPC code from the bit interleaver 116 to a signal point determined by the modulation method for performing quadrature modulation of the LDPC code on a constellation, which is an IQ plane defined by the I-axis representing the I component in phase with the carrier wave and the Q-axis representing the Q component orthogonal to the carrier wave, and performs quadrature modulation.

[0105] When the number of signal points of the constellation used in the modulation method of quadrature modulation performed by mapper 117 is 2 m pieces, the m-bit code bits of the LDPC code are used as a symbol (1 symbol). In mapper 117, the LDPC code from bit interleaver 116 is mapped to the signal point representing the symbol among the 2 m signal points per symbol.

[0106] Here, as the modulation method of quadrature modulation performed by mapper 117, for example, modulation methods defined in standards such as DVB-S.2 and ATSC 3.0, and other modulation methods, that is, for example, BPSK (Binary Phase Shift Keying), QPSK (Quadrature Phase Shift Keying), 8PSK (Phase-Shift Keying), 16APSK (Amplitude Phase-Shift Keying), 32APSK, 16QAM (Quadrature Amplitude Modulation), 16QAM, 64QAM, 256QAM, 1024QAM, 4096QAM, 4PAM (Pulse Amplitude Modulation), etc. are available. In mapper 117, which modulation method is used for quadrature modulation is set in advance according to, for example, the operation of the operator of transmission device 11.

[0107] The data obtained by the processing in mapper 117 (the mapping result of mapping symbols to signal points) is supplied to time interleaver 118.

[0108] Time interleaver 118 performs time interleaving (interleaving in the time direction) on the data from mapper 117 in symbol units, and supplies the resulting data to SISO / MISO encoder (SISO / MISO (Single Input Single Output / Multiple Input Single Output) encoder) 119.

[0109] The SISO / MISO encoder 119 performs space-time coding on the data from the time interleaver 118 and supplies it to the Frequency Interleaver 120.

[0110] The frequency interleaver 120 performs frequency interleaving (interleaving in the frequency direction) on a symbol-by-symbol basis on the data from the SISO / MISO encoder 119 and supplies it to the Frame Builder & Resource Allocation 131.

[0111] On the other hand, control data (signalling) for transmission control such as, for example, BB Signalling (BB Header) is supplied to the BCH encoder 121.

[0112] The BCH encoder 121 performs BCH encoding on the control data supplied thereto in the same manner as the BCH encoder 114, and supplies the resulting data to the LDPC encoder 122.

[0113] The LDPC encoder 122 performs LDPC encoding on the data from the BCH encoder 121 as LDPC target data in the same manner as the LDPC encoder 115, and supplies the resulting LDPC code to the mapper 123.

[0114] The mapper 123, in the same manner as the mapper 117, maps the LDPC code from the LDPC encoder 122 to signal points representing one symbol of quadrature modulation in units of one or more code bits of the LDPC code (symbol units) to perform quadrature modulation, and supplies the resulting data to the frequency interleaver 124.

[0115] The frequency interleaver 124 performs frequency interleaving on a symbol-by-symbol basis on the data from the mapper 123 in the same manner as the frequency interleaver 120, and supplies it to the Frame Builder & Resource Allocation 131.

[0116] The frame builder / resource allocator 131 inserts pilot symbols at the necessary positions of the data (symbols) from the frequency interleaver 120 and 124, and constructs a frame (for example, a PL (Physical Layer) frame, a T2 frame, a C2 frame, etc.) composed of a predetermined number of symbols from the resulting data (symbols), and supplies it to the OFDM generation unit 132.

[0117] The OFDM generation unit 132 generates an OFDM signal corresponding to the frame from the frame from the frame builder / resource allocator 131, and transmits it via the communication path 13 (FIG. 7).

[0118] Note that the transmission device 11 can be configured without providing some of the blocks illustrated in FIG. 8, such as the time interleaver 118, the SISO / MISO encoder 119, the frequency interleaver 120, and the frequency interleaver 124.

[0119] <Configuration example of the bit interleaver 116>

[0120] FIG. 9 is a block diagram showing a configuration example of the bit interleaver 116 in FIG. 8.

[0121] The bit interleaver 116 has a function of interleaving data, and is composed of a parity interleaver 23, a group-wise interleaver 24, and a block interleaver 25.

[0122] The parity interleaver 23 performs a parity interleaving that interleaves the parity bits of the LDPC code from the LDPC encoder 115 to the positions of other parity bits, and supplies the LDPC code after the parity interleaving to the group-wise interleaver 24.

[0123] The group-wise interleaver 24 performs group-wise interleaving on the LDPC code from the parity interleaver 23, and supplies the LDPC code after the group-wise interleaving to the block interleaver 25.

[0124] Here, in the group-wise interleaving, the LDPC code for one code is divided into 360-bit units equal to the unit size P described later from the beginning, and the 360 bits of one division are interleaved in bit group units with the LDPC code from the parity interleaver 23 as the bit group.

[0125] When performing group-wise interleaving, the error rate can be improved compared to the case where group-wise interleaving is not performed. As a result, good communication quality can be ensured in data transmission.

[0126] The block interleaver 25 performs block interleaving for demultiplexing the LDPC code from the group-wise interleaver 24. For example, the LDPC code for one code is symbolized into m-bit symbols that are the units of mapping, and supplied to the mapper 117 (FIG. 8).

[0127] Here, in the block interleaving, for example, columns as storage areas for storing a predetermined number of bits in the column (vertical) direction are arranged in the row (horizontal) direction by a number equal to the number of bits m of the symbol, and the LDPC code from the group-wise interleaver 24 is written in the column direction and read in the row direction, so that the LDPC code is symbolized into m-bit symbols.

[0128] <Check Matrix of LDPC Code>

[0129] FIG. 10 is a diagram showing an example of the check matrix H used for LDPC encoding in the LDPC encoder 115 of FIG. 8.

[0130] The check matrix H has an LDGM (Low-Density Generation Matrix) structure, and for the code bits of the LDPC code, the information matrix H of the part corresponding to the information bits A and the parity matrix H corresponding to the parity bits T are used to represent the equation H = [H A |H T (the matrix with the elements of the information matrix H A as the left elements and the elements of the parity matrix H T as the right elements).

[0131] Here, for the LDPC code of one codeword, the number of bits of the information bits and the number of bits of the parity bits among the code bits are respectively referred to as the information length K and the parity length M, and the number of bits of the code bits of one (one codeword) LDPC code is referred to as the code length N (= K + M).

[0132] For an LDPC code with a certain code length N, the information length K and the parity length M are determined by the coding rate. Also, the check matrix H is a matrix with M rows and N columns (an M×N matrix). And the information matrix H A is an M×K matrix, and the parity matrix H T is an M×M matrix.

[0133] FIG. 11 is a diagram showing an example of the parity matrix H of the check matrix H used for LDPC encoding in the LDPC encoder 115 of FIG. 8 T .

[0134] As the parity matrix H of the check matrix H used for LDPC encoding in the LDPC encoder 115 T , for example, a parity matrix H similar to the check matrix H of the LDPC code defined in standards such as DVB-T.2 T can be adopted.

[0135] The parity matrix H of the check matrix H of the LDPC code defined in standards such as DVB-T.2 TAs shown in Fig. 11, the elements of 1 form a lower bidiagonal matrix in which the elements are arranged in a staircase pattern. The parity matrix H T has a row weight of 1 for the first row and 2 for all the remaining rows. Also, the column weight is 1 for the last column and 2 for all the remaining columns.

[0136] As described above, for the LDPC code with the parity matrix H T having a staircase structure, the inspection matrix H, it can be easily generated using the inspection matrix H.

[0137] That is, if the LDPC code (one codeword) is represented by the row vector c, the column vector obtained by transposing the row vector is denoted as c T Also, let the information bit part of the row vector c which is the LDPC code be represented by the row vector A, and the parity bit part be represented by the row vector T.

[0138] In this case, the row vector c can be represented by the formula c = [A|T] (a row vector with the elements of the row vector A on the left side and the elements of the row vector T on the right side) using the row vector A as the information bits and the row vector T as the parity bits.

[0139] The inspection matrix H and the row vector c = [A|T] as the LDPC code must satisfy the formula Hc T = 0, and the row vector T as the parity bits that constitutes the row vector c = [A|T] satisfying such formula Hc T = 0, for the parity matrix H of the inspection matrix H = [H A |H T when it has the staircase structure shown in Fig. 11, can be sequentially obtained by setting the elements of each row to 0 in order from the element of the first row of the column vector Hc T in the formula Hc T = 0. T That is, it can be obtained sequentially (in order).

[0140] FIG. 12 is a diagram for explaining a check matrix H of an LDPC code defined in a standard such as DVB-T.2.

[0141] Regarding the KX columns from the first column of the check matrix H of the LDPC code defined in a standard such as DVB-T.2, the column weight is X, for the subsequent K3 columns, the column weight is 3, for the subsequent M - 1 columns, the column weight is 2, and for the last column, the column weight is 1, respectively.

[0142] Here, KX + K3 + M - 1 + 1 is equal to the code length N.

[0143] FIG. 13 is a diagram showing the number of columns KX, K3, and M, and the column weight X for each coding rate r of the LDPC code defined in a standard such as DVB-T.2.

[0144] In a standard such as DVB-T.2, LDPC codes with code lengths N of 64800 bits and 16200 bits are defined.

[0145] For the LDPC code with a code length N of 64800 bits, 11 coding rates (nominal rates) 1 / 4, 1 / 3, 2 / 5, 1 / 2, 3 / 5, 2 / 3, 3 / 4, 4 / 5, 5 / 6, 8 / 9, and 9 / 10 are defined, and for the LDPC code with a code length N of 16200 bits, 10 coding rates 1 / 4, 1 / 3, 2 / 5, 1 / 2, 3 / 5, 2 / 3, 3 / 4, 4 / 5, 5 / 6, and 8 / 9 are defined.

[0146] Hereinafter, the code length N of 64800 bits is also referred to as 64k bits, and the code length N of 16200 bits is also referred to as 16k bits.

[0147] Regarding the LDPC code, the error rate tends to be lower for the code bits corresponding to the columns with a larger column weight in the check matrix H.

[0148] In the check matrix H defined by standards such as DVB-T.2 shown in FIGS. 12 and 13, the column weight tends to be larger for the columns on the head side (left side). Therefore, for the LDPC code corresponding to the check matrix H, the leading code bits are more resistant to errors (more tolerant to errors), and the trailing code bits tend to be less resistant to errors.

[0149] <Parity Interleave>

[0150] Referring to FIGS. 14 to 16, the parity interleaving by the parity interleaver 23 in FIG. 9 will be described.

[0151] FIG. 14 is a diagram showing an example of a Tanner graph (a part) of a check matrix of an LDPC code.

[0152] As shown in FIG. 14, when a plurality of variable nodes (corresponding code bits) connected to a check node simultaneously become errors such as erasures, the check node returns messages with equal probabilities of 0 and 1 to all the variable nodes connected to the check node. For this reason, when a plurality of variable nodes connected to the same check node simultaneously become erasures or the like, the decoding performance deteriorates.

[0153] By the way, the LDPC code output by the LDPC encoder 115 in FIG. 8 is an IRA code, similar to the LDPC code defined by standards such as DVB-T.2, and the parity matrix H of the check matrix H T has a staircase structure as shown in FIG. 11.

[0154] FIG. 15 is a diagram showing an example of a Tanner graph corresponding to the parity matrix H T which has a staircase structure as shown in FIG. 11, and the parity matrix H T corresponding thereto.

[0155] A in FIG. 15 is the parity matrix H Tshows an example, and B in FIG. 15 shows the Tanner graph corresponding to the parity matrix H of A in FIG. 15 T is shown.

[0156] For the parity matrix H having a staircase structure T in each row, the elements of 1 are adjacent (excluding the first row). Therefore, in the Tanner graph of the parity matrix H T two adjacent variable nodes corresponding to the columns of two adjacent elements where the value of the parity matrix H T is 1 are connected to the same check node.

[0157] Therefore, when the parity bits corresponding to the above two adjacent variable nodes simultaneously become errors due to burst errors, erasures, etc., the check nodes connected to the two variable nodes (variable nodes for obtaining a message using the parity bits) corresponding to the two parity bits that have become errors return messages with equal probabilities of 0 and 1 to the variable nodes connected to the check nodes, resulting in deterioration of the decoding performance. And when the burst length (the number of bits of parity bits that continuously become errors) becomes large, the number of check nodes that return messages with equal probabilities increases, and the decoding performance further deteriorates.

[0158] Therefore, in order to prevent the deterioration of the above-described decoding performance, the parity interleaver 23 (FIG. 9) performs a parity interleaving that interleaves the parity bits of the LDPC code from the LDPC encoder 115 to the positions of other parity bits.

[0159] FIG. 16 is a diagram showing the parity matrix H of the check matrix H corresponding to the LDPC code after the parity interleaving performed by the parity interleaver 23 in FIG. 9 T is shown.

[0160] Here, the information matrix H of the check matrix H corresponding to the LDPC code output by the LDPC encoder 115 ASimilar to the information matrix of the check matrix H corresponding to the LDPC code defined in standards such as DVB-T.2, it has a cyclic structure.

[0161] The cyclic structure means that a certain column is identical to another column that has been cyclically shifted. For example, for each P column, the positions of 1s in each row of that P column are at positions that are cyclically shifted in the column direction by a predetermined value such as a value proportional to the value q obtained by dividing the first column of that P column by the parity length M. Hereinafter, the P column in the cyclic structure is appropriately referred to as the unit size.

[0162] As the LDPC codes defined in standards such as DVB-T.2, as described in FIGS. 12 and 13, there are two types of LDPC codes with code lengths N of 64800 bits and 16200 bits. For either of these two types of LDPC codes, the unit size P is defined as 360, which is one of the divisors of the parity length M, excluding 1 and M.

[0163] Also, the parity length M is a value other than a prime number represented by the formula M = q×P = q×360, using different values q depending on the coding rate. Therefore, the value q is also, like the unit size P, another one of the divisors of the parity length M, excluding 1 and M, and is obtained by dividing the parity length M by the unit size P (the product of P and q, which are divisors of the parity length M, is the parity length M).

[0164] As described above, for the parity interleaver 23, assuming the information length is K, an integer x satisfying 0 ≤ x < P, and an integer y satisfying 0 ≤ y < q, as the parity interleaving, the (K + qx + y + 1)-th code bit among the code bits of the N-bit LDPC code is interleaved to the position of the (K + Py + x + 1)-th code bit.

[0165] The (K + qx + y + 1)-th parity bit and the (K + Py + x + 1)-th parity bit are both parity bits after the (K + 1)-th bit, so according to the parity interleaving, the positions of the parity bits of the LDPC code are shifted.

[0166] According to such parity interleaving, the variable nodes (corresponding parity bits) connected to the same check node are separated by the unit size P, that is, 360 bits here. Therefore, when the burst length is less than 360 bits, it is possible to avoid the situation where multiple variable nodes connected to the same check node error at the same time. As a result, the tolerance to burst errors can be improved.

[0167] Note that the LDPC code after parity interleaving, which interleaves the (K + qx + y + 1)-th parity bit to the position of the (K + Py + x + 1)-th parity bit, matches the LDPC code of the check matrix (hereinafter also referred to as the transformed check matrix) obtained by performing column replacement that replaces the (K + qx + y + 1)-th column of the original check matrix H with the (K + Py + x + 1)-th column.

[0168] Also, in the parity matrix of the transformed check matrix, as shown in FIG. 16, a pseudo-cyclic structure with P columns (360 columns in FIG. 16) as a unit appears.

[0169] Here, the pseudo-cyclic structure means a structure in which a part except for a part is a cyclic structure.

[0170] For the check matrix of the LDPC code defined in standards such as DVB-T.2, the transformed check matrix obtained by performing column replacement corresponding to parity interleaving has only one less 1 element (it becomes a 0 element) in the upper right corner part of the transformed check matrix, which is a 360-row × 360-column part (shift matrix described later). In this regard, it is not a (complete) cyclic structure but a pseudo-cyclic structure.

[0171] The conversion check matrix for the LDPC code output by the LDPC encoder 115 has a pseudo-cyclic structure, similar to the conversion check matrix for the LDPC code defined in standards such as DVB-T.2, for example.

[0172] Note that the conversion check matrix in FIG. 16 is a matrix obtained by performing column permutation corresponding to parity interleaving on the original check matrix H and also performing row permutation (row permutation) so that the conversion check matrix is composed of the configuration matrices described later.

[0173] FIG. 17 is a flowchart for explaining the processing performed by the LDPC encoder 115, bit interleaver 116, and mapper 117 in FIG. 8.

[0174] The LDPC encoder 115 waits for the LDPC target data to be supplied from the BCH encoder 114, and in step S101, encodes the LDPC target data into an LDPC code, supplies the LDPC code to the bit interleaver 116, and the process proceeds to step S102.

[0175] The bit interleaver 116 performs bit interleaving on the LDPC code from the LDPC encoder 115 in step S102, supplies the symbol obtained by the bit interleaving to the mapper 117, and the process proceeds to step S103.

[0176] That is, in step S102, in the bit interleaver 116 (FIG. 9), the parity interleaver 23 performs parity interleaving on the LDPC code from the LDPC encoder 115, and supplies the LDPC code after the parity interleaving to the group-wise interleaver 24.

[0177] The group-wise interleaver 24 performs group-wise interleaving on the LDPC code from the parity interleaver 23 and supplies it to the block interleaver 25.

[0178] Block interleaver 25 performs block interleaving on the LDPC code after group-wise interleaving by group-wise interleaver 24, and supplies the resulting m-bit symbols to mapper 117.

[0179] In step S103, mapper 117 maps the symbols from block interleaver 25 to any one of 2 m signal points determined by the modulation method of quadrature modulation performed by mapper 117, performs quadrature modulation, and supplies the resulting data to time interleaver 118.

[0180] As described above, by performing parity interleaving and group-wise interleaving, the error rate in the case of transmitting a plurality of code bits of an LDPC code as one symbol can be improved.

[0181] Here, in FIG. 9, for convenience of explanation, parity interleaver 23 which is a block that performs parity interleaving and group-wise interleaver 24 which is a block that performs group-wise interleaving are configured separately. However, parity interleaver 23 and group-wise interleaver 24 can be integrally configured.

[0182] That is, both parity interleaving and group-wise interleaving can be performed by writing and reading code bits to / from memory, and can be represented by a matrix that converts the address (write address) for writing code bits into the address (read address) for reading code bits.

[0183] Therefore, if a matrix obtained by multiplying a matrix representing a parity interleaving and a matrix representing a group-wise interleaving is obtained, by using these matrices, the parity interleaving can be performed by converting the code bits, and further, a result of group-wise interleaving the LDPC code after the parity interleaving can be obtained.

[0184] In addition to the parity interleaver 23 and the group-wise interleaver 24, the block interleaver 25 can also be integrally configured.

[0185] That is, the block interleaving performed by the block interleaver 25 can also be represented by a matrix that converts the write address of the memory storing the LDPC code into the read address.

[0186] Therefore, if a matrix obtained by multiplying a matrix representing a parity interleaving, a matrix representing a group-wise interleaving, and a matrix representing a block interleaving is obtained, by using these matrices, the parity interleaving, the group-wise interleaving, and the block interleaving can be performed collectively.

[0187] Note that one or both of the parity interleaving and the group-wise interleaving can be not performed.

[0188] <Configuration example of LDPC encoder 115>

[0189] FIG. 18 is a block diagram showing a configuration example of the LDPC encoder 115 of FIG. 8.

[0190] Note that the LDPC encoder 122 of FIG. 8 is also configured in the same manner.

[0191] As described with reference to FIGS. 12 and 13, in standards such as DVB-T.2, LDPC codes with two code lengths N of 64800 bits and 16200 bits are defined.

[0192] For LDPC codes with a code length N of 64,800 bits, 11 coding rates of 1 / 4, 1 / 3, 2 / 5, 1 / 2, 3 / 5, 2 / 3, 3 / 4, 4 / 5, 5 / 6, 8 / 9, and 9 / 10 are defined. For LDPC codes with a code length N of 16,200 bits, 10 coding rates of 1 / 4, 1 / 3, 2 / 5, 1 / 2, 3 / 5, 2 / 3, 3 / 4, 4 / 5, 5 / 6, and 8 / 9 are defined (FIGS. 12 and 13).

[0193] The LDPC encoder 115 can perform encoding (error correction encoding) using LDPC codes with such coding rates for code lengths N of 64,800 bits and 16,200 bits, for example, according to a check matrix H prepared for each code length N and each coding rate.

[0194] In addition, the LDPC encoder 115 can perform LDPC encoding according to a check matrix H of an LDPC code with an arbitrary code length N and an arbitrary coding rate r.

[0195] The LDPC encoder 115 is composed of an encoding processing unit 601 and a storage unit 602.

[0196] The encoding processing unit 601 is composed of a coding rate setting unit 611, an initial value table reading unit 612, a check matrix generation unit 613, an information bit reading unit 614, an encoding parity calculation unit 615, and a control unit 616. It performs LDPC encoding on the LDPC target data supplied to the LDPC encoder 115 and supplies the resulting LDPC code to the bit interleaver 116 (FIG. 8).

[0197] That is, the coding rate setting unit 611 sets, for example, the code length N and coding rate r of the LDPC code, as well as other specific information for specifying the LDPC code, according to an operator's operation or the like.

[0198] The initial value table reading unit 612 reads out a check matrix initial value table, which will be described later and represents the check matrix of the LDPC code specified by the specific information set by the coding rate setting unit 611, from the storage unit 602.

[0199] Based on the check matrix initial value table read by the initial value table reading unit 612, the check matrix generation unit 613 generates a check matrix H and stores it in the storage unit 602. For example, the check matrix generation unit 613 generates an information matrix H corresponding to the information length K (= code length N - parity length M) according to the code length N and coding rate r set by the coding rate setting unit 611 A and arranges the elements of 1 in the information matrix H in a cycle of 360 columns (unit size P) in the column direction to generate the check matrix H, which is then stored in the storage unit 602.

[0200] The information bit reading unit 614 reads out (extracts) the information bits of the information length K from the LDPC target data supplied to the LDPC encoder 115.

[0201] The coding parity calculation unit 615 reads out the check matrix H generated by the check matrix generation unit 613 from the storage unit 602, and uses the check matrix H to calculate the parity bits for the information bits read by the information bit reading unit 614 based on a predetermined formula, thereby generating a codeword (LDPC code).

[0202] The control unit 616 controls each block constituting the coding processing unit 601.

[0203] Stored in the storage unit 602 are, for example, a plurality of check matrix initial value tables corresponding to each of a plurality of coding rates shown in FIGS. 12 and 13 for each code length N such as 64800 bits and 16200 bits. In addition, the storage unit 602 temporarily stores the data necessary for the processing of the coding processing unit 601.

[0204] FIG. 19 is a flowchart for explaining an example of the processing of the LDPC encoder 115 in FIG. 18.

[0205] In step S201, the coding rate setting unit 611 sets the code length N for performing LDPC coding, the coding rate r, and specific information for specifying other LDPC codes.

[0206] In step S202, the initial value table reading unit 612 reads out a predetermined check matrix initial value table specified by the code length N and the coding rate r, etc. as the specific information set by the coding rate setting unit 611, from the storage unit 602.

[0207] In step S203, the check matrix generation unit 613 uses the check matrix initial value table read out by the initial value table reading unit 612 from the storage unit 602, to obtain (generate) the check matrix H of the LDPC code with the code length N and the coding rate r set by the coding rate setting unit 611, and supplies it to the storage unit 602 for storage.

[0208] In step S204, the information bit reading unit 614 reads out information bits with an information length K (=N×r) corresponding to the code length N and the coding rate r set by the coding rate setting unit 611, from the LDPC target data supplied to the LDPC encoder 115, and reads out the check matrix H obtained by the check matrix generation unit 613 from the storage unit 602, and supplies it to the coding parity calculation unit 615.

[0209] In step S205, the coding parity calculation unit 615 sequentially calculates the parity bits of the codeword c that satisfies the formula (8), using the information bits from the information bit reading unit 614 and the check matrix H.

[0210] Hc T =0 ···(8)

[0211] In formula (8), c represents a row vector as the codeword (LDPC code), and c T represents the transpose of the row vector c.

[0212] Here, as described above, when the information bit portion of the row vector c as the LDPC code (one code word) is represented by the row vector A and the parity bit portion is represented by the row vector T, the row vector c can be represented by the formula c = [A|T] using the row vector A as the information bit and the row vector T as the parity bit.

[0213] The check matrix H and the row vector c = [A|T] as the LDPC code satisfy the formula Hc T = 0, and the row vector T as the parity bit that constitutes the row vector c = [A|T] satisfying the formula Hc T = 0 can be sequentially obtained by setting the elements of each row to 0 in order from the element of the first row of the column vector Hc A |H T of the parity matrix H T is in the staircase structure shown in FIG. 11. T = 0. T The encoding parity calculation unit 615 obtains the parity bit T for the information bit A from the information bit reading unit 614, and outputs the code word c = [A|T] represented by the information bit A and the parity bit T as the LDPC encoding result of the information bit A.

[0214] Thereafter, in step S206, the control unit 616 determines whether to end the LDPC encoding. If it is determined in step S206 that the LDPC encoding is not ended, that is, for example, if there is still LDPC target data to be LDPC encoded, the process returns to step S201 (or step S204), and hereinafter, the processes of steps S201 (or step S204) to S206 are repeated.

[0215]

[0216] ​Also, in step S206, when it is determined that the LDPC encoding is completed, that is, for example, when there is no LDPC target data to be LDPC-encoded, the LDPC encoder 115 ends the process.

[0217] For the LDPC encoder 115, it is possible to prepare in advance a check matrix initial value table (representing the check matrix) of LDPC codes with various code lengths N and coding rates r. In the LDPC encoder 115, using the check matrix H generated from the pre-prepared check matrix initial value table, LDPC encoding for LDPC codes with various code lengths N and coding rates r can be performed.

[0218] <Example of the check matrix initial value table>

[0219] The check matrix initial value table is, for example, a table representing the positions of the elements of 1 in the information matrix H corresponding to the information length K according to the code length N and the coding rate r of the LDPC code (the LDPC code defined by the check matrix H) of the check matrix H, every 360 columns (unit size P) (Fig. 10), and is created in advance for each check matrix H of each code length N and each coding rate r. A (Fig. 10) It is a table representing the positions of the elements of 1 every 360 columns (unit size P), and is created in advance for each check matrix H of each code length N and each coding rate r.

[0220] That is, the check matrix initial value table represents at least the positions of the elements of 1 in the information matrix H A every 360 columns (unit size P).

[0221] Also, for the check matrix H, there are a check matrix in which all of the parity matrix H T has a staircase structure, and a check matrix in which a part of the parity matrix H T has a staircase structure and the remaining part is a diagonal matrix (identity matrix).

[0222] Hereinafter, the expression method of the check matrix initial value table representing a check matrix in which a part of the parity matrix H T has a staircase structure and the remaining part is a diagonal matrix is also called the type A method. Also, for the parity matrix H TThe expression method of the inspection matrix initial value table representing an inspection matrix all of which has a staircase structure is also called the type B method.

[0223] Also, the LDPC code for the inspection matrix represented by the inspection matrix initial value table of the type A method is also called the type A code, and the LDPC code for the inspection matrix represented by the inspection matrix initial value table of the type B method is also called the type B code.

[0224] The designations "type A" and "type B" are designations according to the ATSC 3.0 standard. For example, in ATSC 3.0, both the type A code and the type B code are adopted.

[0225] Note that in DVB-T.2, etc., the type B code is adopted.

[0226] FIG. 20 is a diagram showing an example of the inspection matrix initial value table of the type B method.

[0227] That is, FIG. 20 shows the inspection matrix initial value table (representing the inspection matrix H) of the type B code with a code length N of 16,200 bits and a coding rate r of 1 / 4 (coding rate in the notation of DVB-T.2) defined in the DVB-T.2 standard.

[0228] The inspection matrix generation unit 613 (FIG. 18) obtains the inspection matrix H as follows using the inspection matrix initial value table of the type B method.

[0229] FIG. 21 is a diagram for explaining a method of obtaining the inspection matrix H from the inspection matrix initial value table of the type B method.

[0230] That is, FIG. 21 shows the inspection matrix initial value table of the type B code with a code length N of 16,200 bits and a coding rate r of 2 / 3 defined in the DVB-T.2 standard.

[0231] The inspection matrix initial value table of the type B method is an information matrix H corresponding to an information length K corresponding to the code length N and the coding rate r of the LDPC code AIt is a table that represents the positions of the 1 elements of the entire 1 in units of 360 columns (unit size P). In the i-th row, the row numbers of the 1 elements in the (1 + 360×(i - 1))-th column of the parity-check matrix H (with the row number of the first row of the parity-check matrix H being 0) are arranged as many as the column weight of the column in the (1 + 360×(i - 1))-th column.

[0232] Here, for the parity-check matrix H of the type B system, the parity matrix H corresponding to the parity length M T (Fig. 10) is determined to have a staircase structure as shown in Fig. 15. Therefore, if the information matrix H A (Fig. 10) corresponding to the information length K can be obtained from the parity-check matrix initial value table, the parity-check matrix H can be obtained.

[0233] The number of rows k + 1 of the parity-check matrix initial value table of the type B system varies depending on the information length K.

[0234] The relationship of Equation (9) holds between the information length K and the number of rows k + 1 of the parity-check matrix initial value table.

[0235] K=(k + 1)×360 ···(9)

[0236] Here, 360 in Equation (9) is the unit size P explained in Fig. 16.

[0237] In the parity-check matrix initial value table of Fig. 21, 13 numerical values are arranged from the first row to the third row, and 3 numerical values are arranged from the fourth row to the (k + 1)-th row (the 30th row in Fig. 21).

[0238] Therefore, the column weights of the parity-check matrix H obtained from the parity-check matrix initial value table of Fig. 21 are 13 from the first column to the (1 + 360×(3 - 1) - 1)-th column, and 3 from the (1 + 360×(3 - 1))-th column to the K-th column.

[0239] The first row of the inspection matrix initial value table in FIG. 21 is 0, 2084, 1613, 1548, 1286, 1460, 3196, 4297, 2481, 3369, 3451, 4620, 2622, which indicates that in the first column of the inspection matrix H, the elements of the rows with row numbers 0, 2084, 1613, 1548, 1286, 1460, 3196, 4297, 2481, 3369, 3451, 4620, 2622 are 1 (and the other elements are 0).

[0240] Also, the second row of the inspection matrix initial value table in FIG. 21 is 1, 122, 1516, 3448, 2880, 1407, 1847, 3799, 3529, 373, 971, 4358, 3108, which indicates that in the 361(=1 + 360×(2 - 1))-th column of the inspection matrix H, the elements of the rows with row numbers 1, 122, 1516, 3448, 2880, 1407, 1847, 3799, 3529, 373, 971, 4358, 3108 are 1.

[0241] As described above, the inspection matrix initial value table represents the positions of the 1 elements of the information matrix H A of the inspection matrix H every 360 columns.

[0242] For columns other than the 1 + 360×(i - 1)-th column of the inspection matrix H, that is, for each column from the 2 + 360×(i - 1)-th column to the 360×i-th column, the 1 element of the 1 + 360×(i - 1)-th column determined by the inspection matrix initial value table is cyclically shifted downward (in the downward direction of the column) according to the parity length M.

[0243] That is, for example, the 2 + 360×(i - 1)-th column is the 1 + 360×(i - 1)-th column cyclically shifted downward by M / 360(=q), and the next 3 + 360×(i - 1)-th column is the 1 + 360×(i - 1)-th column cyclically shifted downward by 2×M / 360(=2×q) (the 2 + 360×(i - 1)-th column cyclically shifted downward by M / 360(=q)).

[0244] Now, let the value in the j-th column (the j-th from the left) of the i-th row (the i-th from the top) of the parity-check matrix initial value table be h i,j and, at the same time, let the row number of the j-th 1 element in the w-th column of the parity-check matrix H be H w-j Then, for the w-th column which is a column other than the 1 + 360×(i - 1)-th column of the parity-check matrix H, the row number H w-j of the 1 element can be obtained by Equation (10).

[0245] H w-j = mod{h i,j + mod((w - 1), P)×q, M) ···(10)

[0246] Here, mod(x, y) means the remainder when x is divided by y.

[0247] Also, P is the above-described unit size, and in this embodiment, for example, like the standards of DVB-T.2 etc. and ATSC3.0, it is 360. Further, q is the value M / 360 obtained by dividing the parity length M by the unit size P (= 360).

[0248] The parity-check matrix generation unit 613 (FIG. 18) specifies the row number of the 1 element in the 1 + 360×(i - 1)-th column of the parity-check matrix H according to the parity-check matrix initial value table.

[0249] Furthermore, the parity-check matrix generation unit 613 (FIG. 18) obtains the row number H w-j of the 1 element in the w-th column which is a column other than the 1 + 360×(i - 1)-th column of the parity-check matrix H according to Equation (10), and generates the parity-check matrix H in which the elements of the obtained row numbers are 1.

[0250] FIG. 22 is a diagram showing the structure of the parity-check matrix H of the type A system.

[0251] The parity-check matrix of the type A system is composed of an A matrix, a B matrix, a C matrix, a D matrix, and a Z matrix.

[0252] The A matrix is the upper left matrix of the check matrix H, which is an M1-row K-column matrix represented by a predetermined value M1 and the information length K of the LDPC code = code length N × coding rate r.

[0253] The B matrix is an M1-row M1-column matrix with a staircase structure adjacent to the right of the A matrix.

[0254] The C matrix is an (N - K - M1)-row (K + M1)-column matrix adjacent to the bottom of the A matrix and the B matrix.

[0255] The D matrix is an (N - K - M1)-row (N - K - M1)-column identity matrix adjacent to the right of the C matrix.

[0256] The Z matrix is an M1-row (N - K - M1)-column zero matrix (0 matrix) adjacent to the right of the B matrix.

[0257] In the type A check matrix H composed of the above A matrix to D matrix and Z matrix, part of the A matrix and the C matrix constitute the information matrix, and the B matrix, the remaining part of the C matrix, the D matrix, and the Z matrix constitute the parity matrix.

[0258] Since the B matrix is a matrix with a staircase structure and the D matrix is an identity matrix, the parity matrix of the type A check matrix H has a staircase structure for part (the part of the B matrix) and a diagonal matrix (identity matrix) for the remaining part (the part of the D matrix).

[0259] The A matrix and the C matrix have a cyclic structure for each column of unit size P (for example, 360 columns), similar to the information matrix of the type B check matrix H. The type A check matrix initial value table represents the positions of the 1 elements of the A matrix and the C matrix every 360 columns.

[0260] Here, as described above, since part of the A matrix and the C matrix constitute the information matrix, it can be said that the type A check matrix initial value table representing the positions of the 1 elements of the A matrix and the C matrix every 360 columns represents at least the positions of the 1 elements of the information matrix every 360 columns.

[0261] Note that since the initial value table of the type A check matrix represents the positions of the 1 elements of the A matrix and the C matrix every 360 columns, it can also be said that it represents the positions of the 1 elements of a part of the check matrix (the remaining part of the C matrix) every 360 columns.

[0262] FIG. 23 is a diagram showing an example of an initial value table of a type A check matrix.

[0263] That is, FIG. 23 shows an example of an initial value table of a check matrix representing a check matrix H with a code length N of 35 bits and a coding rate r of 2 / 7.

[0264] The initial value table of the type A check matrix is a table that represents the positions of the 1 elements of the A matrix and the C matrix for each unit size P. In the i-th row, the row numbers of the 1 elements in the (1 + P×(i - 1))-th column of the check matrix H (with the row number of the first row of the check matrix H being 0) are arranged as many as the column weight of the column in the (1 + P×(i - 1))-th column.

[0265] Here, for simplicity of explanation, it is assumed that the unit size P is, for example, 5.

[0266] For the type A check matrix H, there are parameters M1, M2, Q1, and Q2.

[0267] M1 (FIG. 22) is a parameter that determines the size of the B matrix and takes a value that is a multiple of the unit size P. By adjusting M1, the performance of the LDPC code changes and is adjusted to a predetermined value when determining the check matrix H. Here, it is assumed that 15, which is 3 times the unit size P = 5, is adopted as M1.

[0268] M2 (FIG. 22) takes the value M - M1 obtained by subtracting M1 from the parity length M.

[0269] Here, the information length K is N×r = 35×2 / 7 = 10, and the parity length M is N - K = 35 - 10 = 25. Therefore, M2 is M - M1 = 25 - 15 = 10.

[0270] Q1 is obtained according to the formula Q1 = M1 / P and represents the number of shifts (number of rows) of the cyclic shift in the A matrix.

[0271] That is, for columns other than the (1 + P×(i - 1))-th column of the A matrix of the type A check matrix H, namely, columns from the (2 + P×(i - 1))-th column to the (P×i)-th column, each column is obtained by cyclically shifting the 1 element of the (1 + P×(i - 1))-th column determined by the check matrix initial value table downward (downward in the column) periodically. Q1 represents the number of shifts of such a cyclic shift in the A matrix.

[0272] Q2 is obtained according to the formula Q2 = M2 / P and represents the number of shifts (number of rows) of the cyclic shift in the C matrix.

[0273] That is, for columns other than the (1 + P×(i - 1))-th column of the C matrix of the type A check matrix H, namely, columns from the (2 + P×(i - 1))-th column to the (P×i)-th column, each column is obtained by cyclically shifting the 1 element of the (1 + P×(i - 1))-th column determined by the check matrix initial value table downward (downward in the column) periodically. Q2 represents the number of shifts of such a cyclic shift in the C matrix.

[0274] Here, Q1 is M1 / P = 15 / 5 = 3, and Q2 is M2 / P = 10 / 5 = 2.

[0275] In the check matrix initial value table of FIG. 23, three numerical values are arranged in the first and second rows, and one numerical value is arranged from the third row to the fifth row. According to such an arrangement of numerical values, the column weights of the A matrix and the C matrix parts of the check matrix H obtained from the check matrix initial value table of FIG. 23 are 3 from the (1 = 1 + 5×(1 - 1))-th column to the (10 = 5×2)-th column, and 1 from the (11 = 1 + 5×(3 - 1))-th column to the (25 = 5×5)-th column.

[0276] That is, the first row of the initial value table of the check matrix in FIG. 23 is 2, 6, 18, which indicates that in the first column of the check matrix H, the elements of the rows with row numbers 2, 6, and 18 are 1 (and the other elements are 0).

[0277] Here, in the present case, since the A matrix (FIG. 22) is a 15-row and 10-column (M1-row and K-column) matrix, and the C matrix (FIG. 22) is a 10-row and 25-column ((N - K - M1)-row and (K + M1)-column) matrix, the rows with row numbers 0 to 14 of the check matrix H are the rows of the A matrix, and the rows with row numbers 15 to 24 of the check matrix H are the rows of the C matrix.

[0278] Therefore, among the rows with row numbers 2, 6, and 18 (hereinafter referred to as row #2, #6, and #18), row #2 and #6 are the rows of the A matrix, and row #18 is the row of the C matrix.

[0279] The second row of the initial value table of the check matrix in FIG. 23 is 2, 10, 19, which indicates that in the 6(=1 + 5×(2 - 1))-th column of the check matrix H, the elements of row #2, #10, and #19 are 1.

[0280] Here, in the 6(=1 + 5×(2 - 1))-th column of the check matrix H, among row #2, #10, and #19, row #2 and #10 are the rows of the A matrix, and row #19 is the row of the C matrix.

[0281] The third row of the initial value table of the check matrix in FIG. 23 is 22, which indicates that in the 11(=1 + 5×(3 - 1))-th column of the check matrix H, the element of row #22 is 1.

[0282] Here, in the 11(=1 + 5×(3 - 1))-th column of the check matrix H, row #22 is the row of the C matrix.

[0283] Similarly, in the inspection matrix initial value table of FIG. 23, 19 in the fourth row indicates that the element in row #19 is 1 in the 16th (=1 + 5×(4 - 1)) column of the inspection matrix H, and 15 in the fifth row of the inspection matrix initial value table of FIG. 23 indicates that the element in row #15 is 1 in the 21st (=1 + 5×(5 - 1)) column of the inspection matrix H.

[0284] As described above, the inspection matrix initial value table represents the positions of the 1 elements in the A matrix and C matrix of the inspection matrix H every P = 5 columns of the unit size.

[0285] For columns other than the 1 + 5×(i - 1) columns in the A matrix and C matrix of the inspection matrix H, that is, from the 2 + 5×(i - 1) column to the 5×i column, each column is obtained by cyclically shifting the 1 element in the 1 + 5×(i - 1) column downward (in the downward direction of the column) according to the parameters Q1 and Q2 in a periodic manner.

[0286] That is, for example, in the A matrix, the 2 + 5×(i - 1) column is obtained by cyclically shifting the 1 + 5×(i - 1) column downward by Q1 (=3), and the next 3 + 5×(i - 1) column is obtained by cyclically shifting the 1 + 5×(i - 1) column downward by 2×Q1 (=2×3) (the 2 + 5×(i - 1) column shifted downward by Q1).

[0287] Also, for example, in the C matrix, the 2 + 5×(i - 1) column is obtained by cyclically shifting the 1 + 5×(i - 1) column downward by Q2 (=2), and the next 3 + 5×(i - 1) column is obtained by cyclically shifting the 1 + 5×(i - 1) column downward by 2×Q2 (=2×2) (the 2 + 5×(i - 1) column shifted downward by Q2).

[0288] FIG. 24 is a diagram showing the A matrix generated from the inspection matrix initial value table of FIG. 23.

[0289] In the A matrix of FIG. 24, according to the first row of the inspection matrix initial value table in FIG. 23, the elements of row #2 and #6 in the 1st (=1 + 5×(1 - 1)) column are 1.

[0290] And for each column from the 2nd (=2 + 5×(1 - 1)) column to the 5th (=5 + 5×(1 - 1)) column, each column is obtained by cyclically shifting the previous column downward by Q1 = 3.

[0291] Furthermore, in the A matrix of FIG. 24, according to the second row of the inspection matrix initial value table in FIG. 23, the elements of row #2 and #10 in the 6th (=1 + 5×(2 - 1)) column are 1.

[0292] And for each column from the 7th (=2 + 5×(2 - 1)) column to the 10th (=5 + 5×(2 - 1)) column, each column is obtained by cyclically shifting the previous column downward by Q1 = 3.

[0293] FIG. 25 is a diagram showing the parity interleaving of the B matrix.

[0294] The check matrix generation unit 613 (FIG. 18) generates the A matrix using the check matrix initial value table, and arranges the B matrix with a staircase structure to the right adjacent to the A matrix. Then, the check matrix generation unit 613 regards the B matrix as a parity matrix and performs parity interleaving so that the adjacent 1 elements of the B matrix with a staircase structure are separated by the unit size P = 5 in the row direction.

[0295] FIG. 25 shows the A matrix and the B matrix after the parity interleaving of the B matrix in FIG. 24.

[0296] FIG. 26 is a diagram showing the C matrix generated from the check matrix initial value table in FIG. 23.

[0297] In the C matrix of FIG. 26, according to the first row of the inspection matrix initial value table in FIG. 23, the element of row #18 in the 1st (=1 + 5×(1 - 1)) column of the inspection matrix H is 1.

[0298] And, each column from the second column to the fifth column of the C matrix is obtained by cyclically shifting the previous column downward by Q2 = 2.

[0299] Furthermore, in the C matrix of FIG. 26, according to the second row to the fifth row of the check matrix initial value table of FIG. 23, the elements of row #19 in the sixth column (= 1 + 5×(2 - 1)), row #22 in the eleventh column (= 1 + 5×(3 - 1)), row #19 in the sixteenth column (= 1 + 5×(4 - 1)), and row #15 in the twenty - first column (= 1 + 5×(5 - 1)) of the check matrix H are 1.

[0300] And, each column from the seventh column to the tenth column, each column from the twelfth column to the fifteenth column, each column from the seventeenth column to the twentieth column, and each column from the twenty - second column to the twenty - fifth column are obtained by cyclically shifting the previous column downward by Q2 = 2.

[0301] The check matrix generation unit 613 (FIG. 18) generates a C matrix using the check matrix initial value table, and arranges the C matrix below the A matrix and the B matrix (after parity interleaving).

[0302] Furthermore, the check matrix generation unit 613 arranges a Z matrix to the right of the B matrix and a D matrix to the right of the C matrix to generate the check matrix H shown in FIG. 26.

[0303] FIG. 27 is a diagram showing the parity interleaving of the D matrix.

[0304] After generating the check matrix H of FIG. 26, the check matrix generation unit 613 regards the D matrix as a parity matrix and performs (only for the D matrix) parity interleaving so that the elements of 1 in the odd rows and the next even rows of the unit matrix D matrix are separated by a unit size P = 5 in the row direction.

[0305] FIG. 27 shows a check matrix H after performing parity interleaving of the D matrix for the check matrix H of FIG. 26.

[0306] The LDPC encoder 115 (the encoding parity operation unit 615 (FIG. 18) thereof) performs LDPC encoding (generation of LDPC code), for example, using the check matrix H of FIG. 27.

[0307] Here, the LDPC code generated using the check matrix H of FIG. 27 is an LDPC code with parity interleaving. Therefore, for the LDPC code generated using the check matrix H of FIG. 27, it is not necessary to perform parity interleaving in the parity interleaver 23 (FIG. 9). That is, since the LDPC code generated using the check matrix H after performing parity interleaving of the D matrix is an LDPC code with parity interleaving, for such an LDPC code, the parity interleaving in the parity interleaver 23 is skipped.

[0308] FIG. 28 is a diagram showing a check matrix H obtained by performing column permutation as parity deinterleaving to restore the parity interleaving for the B matrix, a part of the C matrix (the part of the C matrix arranged below the B matrix), and the D matrix of the check matrix H of FIG. 27.

[0309] In the LDPC encoder 115, LDPC encoding (generation of LDPC code) can be performed using the check matrix H of FIG. 28.

[0310] When performing LDPC encoding using the check matrix H of FIG. 28, according to the LDPC encoding, an LDPC code without parity interleaving is obtained. Therefore, when performing LDPC encoding using the check matrix H of FIG. 28, parity interleaving is performed in the parity interleaver 23 (FIG. 9).

[0311] FIG. 29 is a diagram showing a transformed check matrix H obtained by performing row permutation on the check matrix H of FIG. 27.

[0312] As will be described later, the transformed check matrix is a matrix represented by a combination of a P×P identity matrix, a sub-identity matrix in which one or more of the 1s in the identity matrix are 0, a shift matrix obtained by cyclically shifting the identity matrix or the sub-identity matrix, a sum matrix that is a sum of two or more of the identity matrix, the sub-identity matrix, or the shift matrix, and a P×P zero matrix.

[0313] By using the transformed check matrix for decoding an LDPC code, in the decoding of the LDPC code, as will be described later, an architecture can be adopted in which check node operations and variable node operations are performed simultaneously for P at a time.

[0314] <New LDPC code>

[0315] In data transmission using an LDPC code, as one method for ensuring good communication quality, there is a method of using an LDPC code with good performance.

[0316] Hereinafter, a new LDPC code with good performance (hereinafter also referred to as the new LDPC code) will be described.

[0317] As the new LDPC code, for example, a type A code or a type B code corresponding to a check matrix H with a cyclic structure can be adopted in which the unit size P is 360, similar to DVB-T.2 or ATSC 3.0.

[0318] The LDPC encoder 115 (Figs. 8 and 18) can perform LDPC encoding into a new LDPC code using a check matrix initial value table (the obtained check matrix H) of a new LDPC code where the code length N is longer than 64 k bits, for example, 69,120 bits, and the coding rate r is, for example, any one of 2 / 16, 3 / 16, 4 / 16, 5 / 16, 6 / 16, 7 / 16, 8 / 16, 9 / 16, 10 / 16, 11 / 16, 12 / 16, 13 / 16, or 14 / 16.

[0319] In this case, the storage unit 602 of the LDPC encoder 115 (Fig. 8) stores a check matrix initial value table of a new LDPC code.

[0320] Fig. 30 shows an example of a check matrix initial value table (of the type A method) representing the check matrix H of a type A code as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 2 / 16 (hereinafter also referred to as a type A code with r = 2 / 16).

[0321] Figs. 31 and 32 show examples of a check matrix initial value table representing the check matrix H of a type A code as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 3 / 16 (hereinafter also referred to as a type A code with r = 3 / 16).

[0322] Note that Fig. 32 is a figure following Fig. 31.

[0323] Fig. 33 shows an example of a check matrix initial value table representing the check matrix H of a type A code as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 4 / 16 (hereinafter also referred to as a type A code with r = 4 / 16).

[0324] Figs. 34 and 35 show examples of a check matrix initial value table representing the check matrix H of a type A code as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 5 / 16 (hereinafter also referred to as a type A code with r = 5 / 16).

[0325] Note that Fig. 35 is a figure following Fig. 34.

[0326] Figs. 36 and 37 are diagrams showing examples of inspection matrix initial value tables representing the inspection matrix H of a type A code (hereinafter also referred to as the type A code with r = 6 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 6 / 16.

[0327] Note that Fig. 37 is a figure following Fig. 36.

[0328] Figs. 38 and 39 are diagrams showing examples of inspection matrix initial value tables representing the inspection matrix H of a type A code (hereinafter also referred to as the type A code with r = 7 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 7 / 16.

[0329] Note that Fig. 39 is a figure following Fig. 38.

[0330] Figs. 40 and 41 are diagrams showing examples of inspection matrix initial value tables representing the inspection matrix H of a type A code (hereinafter also referred to as the type A code with r = 8 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 8 / 16.

[0331] Note that Fig. 41 is a figure following Fig. 40.

[0332] Figs. 42 and 43 are diagrams showing examples of (type B method) inspection matrix initial value tables representing the inspection matrix H of a type B code (hereinafter also referred to as the type B code with r = 7 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 7 / 16.

[0333] Note that Fig. 43 is a figure following Fig. 42.

[0334] Figs. 44 and 45 are diagrams showing other examples of inspection matrix initial value tables representing the inspection matrix H of the type B code with r = 7 / 16.

[0335] Note that FIG. 45 is a figure following FIG. 44. The type B code with r = 7 / 16 obtained from the check matrix initial value table (representing the check matrix H) in FIGS. 44 and 45 is hereinafter also referred to as other type B codes with r = 7 / 16.

[0336] FIGS. 46 and 47 are diagrams showing examples of a check matrix initial value table representing a check matrix H of a type B code (hereinafter also referred to as a type B code with r = 8 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 8 / 16.

[0337] Note that FIG. 47 is a figure following FIG. 46.

[0338] FIGS. 48 and 49 are diagrams showing other examples of a check matrix initial value table representing a check matrix H of a type B code with r = 8 / 16.

[0339] Note that FIG. 49 is a figure following FIG. 48. The type B code with r = 8 / 16 obtained from the check matrix initial value tables in FIGS. 48 and 49 is hereinafter also referred to as other type B codes with r = 8 / 16.

[0340] FIGS. 50, 51, and 52 are diagrams showing examples of a check matrix initial value table representing a check matrix H of a type B code (hereinafter also referred to as a type B code with r = 9 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 9 / 16.

[0341] Note that FIG. 51 is a figure following FIG. 50, and FIG. 52 is a figure following FIG. 51.

[0342] FIGS. 53, 54, and 55 are diagrams showing other examples of a check matrix initial value table representing a check matrix H of a type B code with r = 9 / 16.

[0343] Note that FIG. 54 is a figure following FIG. 53, and FIG. 55 is a figure following FIG. 54. The type B code with r = 9 / 16 obtained from the check matrix initial value tables in FIGS. 53 to 55 is hereinafter also referred to as other type B codes with r = 9 / 16.

[0344] FIG. 56, FIG. 57, and FIG. 58 are diagrams showing an example of an inspection matrix initial value table representing an inspection matrix H of a type B code (hereinafter also referred to as a type B code with r = 10 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 10 / 16.

[0345] Note that FIG. 57 is a diagram following FIG. 56, and FIG. 58 is a diagram following FIG. 57.

[0346] FIG. 59, FIG. 60, and FIG. 61 are diagrams showing another example of an inspection matrix initial value table representing an inspection matrix H of a type B code with r = 10 / 16.

[0347] Note that FIG. 60 is a diagram following FIG. 59, and FIG. 61 is a diagram following FIG. 60. The type B code with r = 10 / 16 obtained from the inspection matrix initial value table of FIGS. 59 to 61 is hereinafter also referred to as another type B code with r = 10 / 16.

[0348] FIG. 62, FIG. 63, and FIG. 64 are diagrams showing an example of an inspection matrix initial value table representing an inspection matrix H of a type B code (hereinafter also referred to as a type B code with r = 11 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 11 / 16.

[0349] Note that FIG. 63 is a diagram following FIG. 62, and FIG. 64 is a diagram following FIG. 63.

[0350] FIG. 65, FIG. 66, and FIG. 67 are diagrams showing another example of an inspection matrix initial value table representing an inspection matrix H of a type B code with r = 11 / 16.

[0351] Note that FIG. 66 is a diagram following FIG. 65, and FIG. 67 is a diagram following FIG. 66. The type B code with r = 11 / 16 obtained from the inspection matrix initial value table of FIGS. 65 to 67 is hereinafter also referred to as another type B code with r = 11 / 16.

[0352] Figures 68, 69, and 70 are diagrams showing an example of an inspection matrix initial value table representing an inspection matrix H of a type B code (hereinafter also referred to as a type B code with r = 12 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 12 / 16.

[0353] Note that FIG. 69 is a diagram following FIG. 68, and FIG. 70 is a diagram following FIG. 69.

[0354] Figures 71, 72, and 73 are diagrams showing another example of an inspection matrix initial value table representing an inspection matrix H of a type B code with r = 12 / 16.

[0355] Note that FIG. 72 is a diagram following FIG. 71, and FIG. 73 is a diagram following FIG. 72. The type B code with r = 12 / 16 obtained from the inspection matrix initial value tables of FIGS. 71 to 73 is hereinafter also referred to as another type B code with r = 12 / 16.

[0356] Figures 74, 75, and 76 are diagrams showing an example of an inspection matrix initial value table representing an inspection matrix H of a type B code (hereinafter also referred to as a type B code with r = 13 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 13 / 16.

[0357] Note that FIG. 75 is a diagram following FIG. 74, and FIG. 76 is a diagram following FIG. 75.

[0358] Figures 77, 78, and 79 are diagrams showing another example of an inspection matrix initial value table representing an inspection matrix H of a type B code with r = 13 / 16.

[0359] Note that FIG. 78 is a diagram following FIG. 77, and FIG. 79 is a diagram following FIG. 78. The type B code with r = 13 / 16 obtained from the inspection matrix initial value tables of FIGS. 77 to 79 is hereinafter also referred to as another type B code with r = 13 / 16.

[0360] Figures 80, 81, and 82 are diagrams showing an example of an initial value table of a check matrix representing a type B code (hereinafter, also referred to as a type B code with r = 14 / 16) as a new LDPC code with a code length N of 69,120 bits and a coding rate r of 14 / 16.

[0361] Note that Figure 81 is a figure following Figure 80, and Figure 82 is a figure following Figure 81.

[0362] Figures 83, 84, and 85 are diagrams showing another example of an initial value table of a check matrix representing a check matrix H of a type B code with r = 14 / 16.

[0363] Note that Figure 84 is a figure following Figure 83, and Figure 85 is a figure following Figure 84. The type B code with r = 14 / 16 obtained from the initial value table of the check matrix in Figures 83 to 85 is hereinafter also referred to as another type B code with r = 14 / 16.

[0364] The new LDPC code has become an LDPC code with good performance.

[0365] Here, an LDPC code with good performance is an LDPC code obtained from an appropriate check matrix H.

[0366] An appropriate check matrix H is, for example, a check matrix that satisfies a predetermined condition such that when an LDPC code obtained from the check matrix H is transmitted at a low E s / N 0 or E b / N o (signal power to noise power ratio per bit), the BER (bit error rate) (and FER (frame error rate)) becomes smaller.

[0367] An appropriate check matrix H can be obtained, for example, by performing a simulation to measure the BER when an LDPC code obtained from various check matrices that satisfy a predetermined condition is transmitted at a low E s / N o .

[0368] As predetermined conditions that an appropriate check matrix H should satisfy, for example, the analysis results obtained by an analysis method of the performance of a code called Density Evolution are good, there is no loop of 1's elements called Cycle 4, and so on.

[0369] Here, the information matrix H A In, as in Cycle 4, it is known that if 1's elements are concentrated, the decoding performance of the LDPC code deteriorates. Therefore, it is desirable that there is no Cycle 4 in the check matrix H.

[0370] In the check matrix H, the minimum value of the length of the loop (loop length) composed of 1's elements is called the girth. The fact that there is no Cycle 4 means that the girth is greater than 4.

[0371] Note that the predetermined conditions that an appropriate check matrix H should satisfy can be appropriately determined from viewpoints such as improvement of the decoding performance of the LDPC code and facilitation (simplification) of the decoding process of the LDPC code.

[0372] FIG. 86 and FIG. 87 are diagrams for explaining Density Evolution from which analysis results as predetermined conditions that an appropriate check matrix H should satisfy are obtained.

[0373] Density Evolution is an analysis method of a code that calculates the expected value of the error probability for the entire LDPC code with code length N = ∞ (ensemble) characterized by a degree sequence described later.

[0374] For example, on an AWGN channel, when the variance value of the noise is gradually increased from 0, the expected value of the error probability of a certain ensemble is initially 0, but when the variance value of the noise becomes equal to or greater than a certain threshold, it becomes non-zero.

[0375] According to density evolution, by comparing the threshold value of the variance of noise (hereinafter also referred to as the performance threshold) at which the expected value of the error probability becomes non-zero, the quality of the performance of the ensemble (the suitability of the check matrix) can be determined.

[0376] For a specific LDPC code, by determining the ensemble to which the LDPC code belongs and performing density evolution on that ensemble, the approximate performance of the LDPC code can be predicted.

[0377] Therefore, a good LDPC code can be found among the LDPC codes belonging to an ensemble if a good ensemble is found.

[0378] Here, the above-mentioned degree sequence represents the proportion of variable nodes and check nodes with weights of each value for the code length N of the LDPC code.

[0379] For example, a regular (3,6) LDPC code with a coding rate of 1 / 2 belongs to an ensemble characterized by a degree sequence in which the weight (column weight) of all variable nodes is 3 and the weight (row weight) of all check nodes is 6.

[0380] FIG. 86 shows the Tanner graph of such an ensemble.

[0381] In the Tanner graph of FIG. 86, there are N variable nodes indicated by circles (○) in the figure, and N / 2 check nodes indicated by squares (□) in the figure, where the number of check nodes is equal to the product of the code length N and the coding rate 1 / 2.

[0382] Three edges equal to the column weight are connected to each variable node. Therefore, there are a total of 3N edges connected to the N variable nodes.

[0383] Also, six branches equal to the row weight are connected to each check node. Therefore, there are a total of 3N branches connected to N / 2 check nodes.

[0384] Furthermore, in the Tanner graph of FIG. 86, there is one interleaver.

[0385] The interleaver randomly rearranges the 3N branches connected to N variable nodes, and connects each rearranged branch to any one of the 3N branches connected to N / 2 check nodes.

[0386] The number of rearrangement patterns for rearranging the 3N branches connected to N variable nodes in the interleaver is (3N)! (=(3N)×(3N - 1)×···×1). Therefore, the ensemble characterized by the degree sequence where all variable node weights are 3 and all check node weights are 6 is a set of (3N)! LDPC codes.

[0387] In the simulation to obtain a good LDPC code (appropriate check matrix), in density evolution, an ensemble of multi - edge type was used.

[0388] In the multi - edge type, the interleaver through which the branches connected to variable nodes and the branches connected to check nodes pass is divided into multiple (multi - edge), thereby enabling more precise characterization of the ensemble.

[0389] FIG. 87 shows an example of a Tanner graph of an ensemble of multi - edge type.

[0390] In the Tanner graph of FIG. 87, there are two interleavers, the first interleaver and the second interleaver.

[0391] Also, in the Tanner graph of FIG. 87, there are only v1 variable nodes where there is 1 branch connected to the first interleaver and 0 branches connected to the second interleaver, only v2 variable nodes where there is 1 branch connected to the first interleaver and 2 branches connected to the second interleaver, and only v3 variable nodes where there are 0 branches connected to the first interleaver and 2 branches connected to the second interleaver, respectively.

[0392] Furthermore, in the Tanner graph of FIG. 87, there are only c1 check nodes where there are 2 branches connected to the first interleaver and 0 branches connected to the second interleaver, only c2 check nodes where there are 2 branches connected to the first interleaver and 2 branches connected to the second interleaver, and only c3 check nodes where there are 0 branches connected to the first interleaver and 3 branches connected to the second interleaver, respectively.

[0393] Here, for density evolution and its implementation, for example, it is described in "On the Design of Low-Density Parity-Check Codes within 0.0045 dB of the Shannon Limit", S.Y.Chung, G.D.Forney, T.J.Richardson, R.Urbanke, IEEE Communications Letters, VOL.5, NO.2, Feb 2001.

[0394] In the simulation for obtaining a new LDPC code (check matrix), an ensemble is found where the performance threshold, which is the E b / N 0 (signal power-to-noise power ratio per bit) at which the BER starts to decrease (become smaller) by multi-edge type density evolution, is below a predetermined value. Among the LDPC codes belonging to that ensemble, an LDPC code that reduces the BER when using one or more orthogonal modulations such as QPSK is selected as an LDPC code with good performance.

[0395] The new LDPC code (the check matrix initial value table representing the check matrix) was obtained through the above simulations.

[0396] Therefore, according to the new LDPC code, good communication quality can be ensured in data transmission.

[0397] Figure 88 is a diagram for explaining the column weight of the check matrix H of the type A code as the new LDPC code.

[0398] Regarding the check matrix H of the type A code, as shown in Figure 88, let the column weight of the first K1 columns of the A matrix be Y1, the column weight of the subsequent K2 columns of the A matrix be Y2, the column weight of the first K1 columns of the C matrix be X1, the column weight of the subsequent K2 columns of the C matrix be X2, and the column weight of the subsequent M1 columns of the C matrix be X3, respectively.

[0399] Note that K1 + K2 is equal to the information length K, and M1 + M2 is equal to the parity length M. Therefore, K1 + K2 + M1 + M2 is equal to the code length N = 69120 bits.

[0400] Also, regarding the check matrix H of the type A code, the column weight of the first M1 - 1 columns of the B matrix is 2, and the column weight of the M1 - th column (the last column) of the B matrix is 1. Furthermore, the column weight of the D matrix is 1, and the column weight of the Z matrix is 0.

[0401] Figure 89 is a diagram showing the parameters of the check matrix H of the type A code (represented by the check matrix initial value table) in FIGS. 30 to 41.

[0402] X1, Y1, K1, X2, Y2, K2, X3, M1, M2, and the performance threshold as the parameters of the check matrix H of the type A code with r = 2 / 16, 3 / 16, 4 / 16, 5 / 16, 6 / 16, 7 / 16, 8 / 16 are as shown in Figure 89.

[0403] Parameters X1, Y1, K1 (or K2), X2, Y2, X3, M1 (or M2) are set so that the performance of the LDPC code (e.g., error rate, etc.) is further improved.

[0404] FIG. 90 is a diagram for explaining the column weight of the check matrix H of the type B code as a new LDPC code.

[0405] For the check matrix H of the type B code, as shown in FIG. 90, the column weight of the KX1 columns from the first column is represented as X1, the column weight of the subsequent KX2 columns is represented as X2, the column weight of the subsequent KY1 columns is represented as Y1, and the column weight of the subsequent KY2 columns is represented as Y2, respectively.

[0406] Note that KX1 + KX2 + KY1 + KY2 is equal to the information length K, and KX1 + KX2 + KY1 + KY2 + M is equal to the code length N = 69120 bits.

[0407] Also, for the check matrix H of the type B code, among the last M columns, the column weight of M - 1 columns excluding the last column is 2, and the column weight of the last column is 1.

[0408] FIG. 91 is a diagram showing the parameters of the check matrix H of the type B code (represented by the check matrix initial value table) in FIGS. 42 to 85.

[0409] X1, KX1, X2, KX2, Y1, KY1, Y2, KY2, M, and the performance threshold as the parameters of the check matrix H of the type B code with r = 7 / 16, 8 / 16, 9 / 16, 10 / 16, 11 / 16, 12 / 16, 13 / 16, 14 / 16 and other type B codes are as shown in FIG. 91.

[0410] Parameters X1, KX1, X2, KX2, Y1, KY1, Y2, KY2 are set so that the performance of the LDPC code is further improved.

[0411] According to the new LDPC code, good BER / FER is realized, and a capacity (communication channel capacity) close to the Shannon limit is realized.

[0412] <constellation>

[0413] Figures 92 to 107 are diagrams showing examples of constellations that can be adopted in the transmission system of FIG. 7.

[0414] In the transmission system of FIG. 7, for example, for a MODCOD which is a combination of a modulation method (MODulation) and an LDPC code (CODe), the constellation used in the MODCOD can be set.

[0415] For one MODCOD, one or more constellations can be set.

[0416] Constellations include a UC (Uniform Constellation) in which the arrangement of signal points is uniform and a NUC (Non Uniform Constellation) in which the arrangement is not uniform.

[0417] Also, in the NUC, for example, there are constellations called 1D NUC (1-dimensional M 2 -QAM non-uniform constellation) and constellations called 2D NUC (2-dimensional QQAM non-uniform constellation).

[0418] Generally, the BER is improved more for 1D NUC than for UC, and further, the BER is improved more for 2D NUC than for 1D NUC.

[0419] The constellation with a modulation method of QPSK becomes UC. As constellations with a modulation method of 16QAM, 64QAM, 256QAM, etc., for example, UC or 2D NUC can be adopted, and as constellations with a modulation method of 1024QAM, 4096QAM, etc., for example, UC or 1D NUC can be adopted.

[0420] In the transmission system of FIG. 7, for example, constellations defined by ATSC 3.0, DVB-C.2, etc., and various other constellations can be used.

[0421] That is, when the modulation method is QPSK, for each coding rate r of the LDPC code, for example, the same UC can be used.

[0422] Also, when the modulation method is 16QAM, 64QAM, or 256QAM, for each coding rate r of the LDPC code, for example, the same UC can be used. Furthermore, when the modulation method is 16QAM, 64QAM, or 256QAM, for example, different 2D NUCs can be used for each coding rate r of the LDPC code.

[0423] Also, when the modulation method is 1024QAM or 4096QAM, for each coding rate r of the LDPC code, for example, the same UC can be used. Furthermore, when the modulation method is 1024QAM or 4096QAM, for example, different 1D NUCs can be used for each coding rate r of the LDPC code.

[0424] Here, the UC of QPSK is also referred to as QPSK-UC, and 2 m the UC of QAM is also referred to as 2 m QAM-UC. Also, 2 m the 1D NUC and 2D NUC of QAM are respectively referred to as 2 m QAM-1D NUC and 2 m QAM-2D NUC.

[0425] Hereinafter, some of the constellations defined by ATSC 3.0 will be described.

[0426] FIG. 92 is a diagram showing the coordinates of the signal points of the QPSK-UC used for all coding rates of the LDPC code defined by ATSC 3.0 when the modulation method is QPSK.

[0427] In FIG. 92, "Input Data cell y" represents a 2-bit symbol mapped to QPSK-UC, and "Constellation point z s " represents the coordinates of signal point z s . Note that the index s of signal point z s (similarly for the index q of signal point z q described later) represents the discrete time of the symbol (the time interval between one symbol and the next symbol).

[0428] In FIG. 92, the coordinates of signal point z s are represented in the form of complex numbers, where j represents the imaginary unit (√(-1)).

[0429] FIG. 93 is a diagram showing the coordinates of the signal points of 16QAM-2D NUC used for the coding rates r(CR) = 2 / 15, 3 / 15, 4 / 15, 5 / 15, 6 / 15, 7 / 15, 8 / 15, 9 / 15, 10 / 15, 11 / 15, 12 / 15, 13 / 15 of the LDPC code defined in ATSC 3.0 when the modulation method is 16QAM.

[0430] In FIG. 93, similar to FIG. 92, the coordinates of signal point z s are represented in the form of complex numbers, where j represents the imaginary unit.

[0431] In FIG. 93, w#k represents the coordinates of the signal points in the first quadrant of the constellation.

[0432] In 2D NUC, the signal points in the second quadrant of the constellation are arranged at positions where the signal points in the first quadrant are symmetrically moved with respect to the Q axis, the signal points in the third quadrant of the constellation are arranged at positions where the signal points in the first quadrant are symmetrically moved with respect to the origin, and the signal points in the fourth quadrant of the constellation are arranged at positions where the signal points in the first quadrant are symmetrically moved with respect to the I axis.

[0433] Here, the modulation method is 2 mIn the case of QAM, taking m bits as one symbol, that one symbol is mapped to the signal point corresponding to that symbol.

[0434] The symbol of m bits can be represented by an integer value from 0 to 2 m -1, but now, if b = 2 m / 4, then the symbols y(0), y(1), ···, y(2 m -1) represented by integer values from 0 to 2 m -1 can be classified into four groups: symbols y(0) to y(b - 1), y(b) to y(2b - 1), y(2b) to y(3b - 1), and y(3b) to y(4b - 1).

[0435] In FIG. 93, the suffix k of w#k takes an integer value in the range from 0 to b - 1, and w#k represents the coordinates of the signal point corresponding to the symbol y(k) in the range of symbols y(0) to y(b - 1).

[0436] And the coordinates of the signal point corresponding to the symbol y(k + b) in the range of symbols y(b) to y(2b - 1) are represented by -conj(w#k), the coordinates of the signal point corresponding to the symbol y(k + 2b) in the range of symbols y(2b) to y(3b - 1) are represented by conj(w#k). Also, the coordinates of the signal point corresponding to the symbol y(k + 3b) in the range of symbols y(3b) to y(4b - 1) are represented by -w#k.

[0437] Here, conj(w#k) represents the complex conjugate of w#k.

[0438] For example, when the modulation method is 16QAM, the symbols y(0), y(1), ···, y(15) of m = 4 bits are classified into four groups as b = 2 4 / 4 = 4, namely symbols y(0) to y(3), y(4) to y(7), y(8) to y(11), and y(12) to y(15).

[0439] Among the symbols y(0) to y(15), for example, symbol y(12) is the symbol y(k + 3b) in the range of symbols y(3b) to y(4b - 1). Since k = 0, the coordinate of the signal point corresponding to symbol y(12) is -w#k = -w0.

[0440] Now, assuming that the coding rate r(CR) of the LDPC code is, for example, 9 / 15, according to FIG. 93, when the modulation method is 16QAM and the coding rate r is 9 / 15, w0 is 0.2386 + j0.5296. Therefore, the coordinate -w0 of the signal point corresponding to symbol y(12) is -(0.2386 + j0.5296).

[0441] FIG. 94 is a diagram showing examples of the coordinates of the signal points of 1024QAM - 1D NUC used for the coding rates r(CR) = 2 / 15, 3 / 15, 4 / 15, 5 / 15, 6 / 15, 7 / 15, 8 / 15, 9 / 15, 10 / 15, 11 / 15, 12 / 15, 13 / 15 of the LDPC code defined in ATSC 3.0 when the modulation method is 1024QAM.

[0442] In FIG. 94, u#k is the real part Re(z s ) and the imaginary part Im(z s ) of the complex number as the coordinate of the signal point z of 1D NUC. s )

[0443] FIG. 95 is a diagram showing the relationship between the 10 - bit symbol y of 1024QAM and u#k as the real part Re(z s ) and the imaginary part Im(z s ) of the complex number representing the coordinate of the signal point z of 1D NUC corresponding to the symbol y. s )

[0444] Now, for the 10 - bit symbol y of 1024QAM, starting from its leading bit (the most significant bit), y 0,s , y 1,s , y 2,s , y 3,s , y 4,s , y5,s , y 6,s , y 7,s , y 8,s , y 9,s shall be expressed as

[0445] In FIG. 95, A represents the correspondence between the even-numbered 5-bit y of symbol y 1,s , y 3,s , y 5,s , y 7,s , y 9,s and the real part Re(z s of the (coordinates) of the signal point z corresponding to that symbol y s ) represented by u#k.

[0446] In FIG. 95, B represents the correspondence between the odd-numbered 5-bit y of symbol y 0,s , y 2,s , y 4,s , y 6,s , y 8,s and the imaginary part Im(z s of the (coordinates) of the signal point z corresponding to that symbol y s ) represented by u#k.

[0447] For a 10-bit symbol y = (y 0,s , y 1,s , y 2,s , y 3,s , y 4,s , y 5,s , y 6,s , y 7,s , y 8,s , y 9,s ) of 1024QAM, for example, when it is (0, 0, 1, 0, 0, 1, 1, 1, 0, 0), the odd-numbered 5-bit (y 0,s , y 2,s , y 4,s , y 6,s , y 8,s ) is (0, 1, 0, 1, 0), and the even-numbered 5-bit (y 1,s , y 3,s , y 5,s , y 7,s , y 9,s ) is (0, 0, 1, 1, 0).

[0448] In A of FIG. 95, the even-numbered 5 bits (0, 0, 1, 1, 0) are associated with u11, and thus, for the signal point z corresponding to the symbol y = (0, 0, 1, 0, 0, 1, 1, 1, 0, 0) s the real part Re(z s ) is u11.

[0449] In B of FIG. 95, the odd-numbered 5 bits (0, 1, 0, 1, 0) are associated with u3, and thus, for the signal point z corresponding to the symbol y = (0, 0, 1, 0, 0, 1, 1, 1, 0, 0) s the imaginary part Im(z s ) is u3.

[0450] On the other hand, assuming that the coding rate r of the LDPC code is, for example, 6 / 15, according to FIG. 94 described above, for the 1D NUC used when the modulation method is 1024QAM and the coding rate r(CR) of the LDPC code is 6 / 15, u3 is 0.1295 and u11 is 0.7196.

[0451] Therefore, for the signal point z corresponding to the symbol y = (0, 0, 1, 0, 0, 1, 1, 1, 0, 0) s the real part Re(z s ) becomes u11 = 0.7196, and the imaginary part Im(z s ) becomes u3 = 0.1295. As a result, the coordinates of the signal point z corresponding to the symbol y = (0, 0, 1, 0, 0, 1, 1, 1, 0, 0) s are represented as 0.7196 + j0.1295.

[0452] Note that the signal points of the 1D NUC are arranged in a lattice pattern on a straight line parallel to the I axis or a straight line parallel to the Q axis in the constellation. However, the intervals between the signal points are not constant. Also, when transmitting the signal points (the data mapped thereto), the average power of the signal points on the constellation can be normalized. If the root mean square value of the absolute values of all of the (coordinates of the) signal points on the constellation is represented as P ave and the root mean square value P aveThe square root √P ave The reciprocal 1 / (√P ave ) is multiplied by each signal point z on the constellation s This can be done by multiplication.

[0453] In the transmission system of FIG. 7, the constellation defined by ATSC 3.0 as described above can be used.

[0454] FIGS. 96 to 107 are diagrams showing the coordinates of the signal points of the UC defined by DVB-C.2.

[0455] That is, FIG. 96 is a diagram showing the real part Re(z q ) of the coordinates of the signal points of QPSK-UC (UC of QPSK) defined by DVB-C.2. FIG. 97 is a diagram showing the imaginary part Im(z q ) of the coordinates of the signal points of QPSK-UC defined by DVB-C.2. q of the coordinates of the signal points of QPSK-UC defined by DVB-C.2. q This is a diagram showing

[0456] FIG. 98 is a diagram showing the real part Re(z q ) of the coordinates of the signal points of 16QAM-UC (UC of 16QAM) defined by DVB-C.2. FIG. 99 is a diagram showing the imaginary part Im(z q ) of the coordinates of the signal points of 16QAM-UC defined by DVB-C.2. q of the coordinates of the signal points of 16QAM-UC defined by DVB-C.2. q This is a diagram showing

[0457] FIG. 100 is a diagram showing the real part Re(z q ) of the coordinates of the signal points of 64QAM-UC (UC of 64QAM) defined by DVB-C.2. FIG. 101 is a diagram showing the imaginary part Im(z q ) of the coordinates of the signal points of 64QAM-UC defined by DVB-C.2. q of the coordinates of the signal points of 64QAM-UC defined by DVB-C.2. q This is a diagram showing

[0458] Figure 102 shows the real part Re(z q ) of the coordinate z of the signal points of 256QAM-UC (UC of 256QAM) defined in DVB-C.2. Figure 103 shows the imaginary part Im(z q ) of the coordinate z of the signal points of 256QAM-UC defined in DVB-C.2. q q ) of the coordinate z of the signal points of 256QAM-UC defined in DVB-C.2.

[0459] Figure 104 shows the real part Re(z q ) of the coordinate z of the signal points of 1024QAM-UC (UC of 1024QAM) defined in DVB-C.2. Figure 105 shows the imaginary part Im(z q ) of the coordinate z of the signal points of 1024QAM-UC defined in DVB-C.2. q q ) of the coordinate z of the signal points of 1024QAM-UC defined in DVB-C.2.

[0460] Figure 106 shows the real part Re(z q ) of the coordinate z of the signal points of 4096QAM-UC (UC of 4096QAM) defined in DVB-C.2. Figure 107 shows the imaginary part Im(z q ) of the coordinate z of the signal points of 4096QAM-UC defined in DVB-C.2. q q ) of the coordinate z of the signal points of 4096QAM-UC defined in DVB-C.2.

[0461] In Figures 96 to 107, y i,q represents the (i + 1)-th bit from the start of the m-bit symbol of 2 m QAM (for example, 2 bits in QPSK). Also, when transmitting the signal points (data mapped thereto) of UC, the average power of the signal points on the constellation can be normalized. If the root mean square value of the squares of the absolute values for all the signal points (coordinates) on the constellation is represented as P ave , then the reciprocal 1 / (√P ave ) of the square root √P ave of that root mean square value P ave is multiplied by each signal point z q ​​​It can be performed by multiplying.

[0462] In the transmission system of FIG. 7, the UC defined by DVB-C.2 as described above can be used.

[0463] That is, for the new LDPC codes corresponding to the (check matrix initial value tables) in FIGS. 30 to 85 with a code length N of 69,120 bits and code rates r of 2 / 16, 3 / 16, 4 / 16, 5 / 16, 6 / 16, 7 / 16, 8 / 16, 9 / 16, 10 / 16, 11 / 16, 12 / 16, 13 / 16, and 14 / 16 respectively, the UC shown in FIGS. 96 to 107 can be used.

[0464] <Block interleaver 25>

[0465] FIG. 108 is a diagram for explaining the block interleaving performed by the block interleaver 25 of FIG. 9.

[0466] The block interleaving is performed by dividing the LDPC code of one codeword from its beginning into a part called part 1 and a part called part 2.

[0467] If the length (number of bits) of part 1 is represented by Npart1 and the length of part 2 is represented by Npart2, then Npart1 + Npart2 is equal to the code length N.

[0468] Conceptually, in block interleaving, columns as storage areas for storing Npart1 / m bits in the column (vertical) direction as one direction are arranged in the row direction orthogonal to the column direction by an equal number m of the number of bits m of the symbol, and each column is divided into small units of 360 bits with a unit size P from the top. This small unit of the column is also called a column unit.

[0469] In block interleaving, as shown in FIG. 108, writing the part 1 of the LDPC code of 1 codeword in the downward direction (column direction) from the top of the first column unit of the column is performed in the columns in the left-to-right direction.

[0470] And when the writing to the first column unit of the rightmost column is completed, as shown in FIG. 108, returning to the leftmost column, writing in the downward direction from the top of the second column unit of the column is performed in the columns in the left-to-right direction, and hereinafter, in the same manner, the writing of the part 1 of the LDPC code of 1 codeword is performed.

[0471] When the writing of the part 1 of the LDPC code of 1 codeword is completed, as shown in FIG. 108, from the first row of all m columns, in the row direction, in units of m bits, the part 1 of the LDPC code is read out.

[0472] This m-bit unit of the part 1 is supplied as an m-bit symbol from the block interleaver 25 to the mapper 117 (FIG. 8).

[0473] The reading of the part 1 in units of m bits is sequentially performed in the direction of the row below the m columns, and when the reading of the part 1 is completed, the part 2 is divided into units of m bits from the beginning and supplied as an m-bit symbol from the block interleaver 25 to the mapper 117.

[0474] Therefore, the part 1 is symbolized while being interleaved, and the part 2 is symbolized by being sequentially divided into m bits without being interleaved.

[0475] The length of the column Npart1 / m is a multiple of 360 which is the unit size P, and the LDPC code of 1 codeword is divided into part 1 and part 2 so that Npart1 / m becomes a multiple of 360.

[0476] FIG. 109 is a diagram showing examples of Part 1 and Part 2 of an LDPC code with a code length N of 69,120 bits, respectively, when the modulation method is QPSK, 16QAM, 64QAM, 256QAM, 1024QAM, and 4096QAM.

[0477] In FIG. 109, when the modulation method is 1024QAM, Part 1 is 68,400 bits and Part 2 is 720 bits. When the modulation method is QPSK, 16QAM, 64QAM, 256QAM, or 4096QAM, in each case, Part 1 is 69,120 bits and Part 2 is 0 bits.

[0478] <Group-wise interleaving>

[0479] FIG. 110 is a diagram for explaining the group-wise interleaving performed by the group-wise interleaver 24 in FIG. 9.

[0480] In group-wise interleaving, as shown in FIG. 110, an LDPC code of one codeword is divided from its beginning into 360-bit units equal to the unit size P. One 360-bit division is used as a bit group, and the LDPC code of one codeword is interleaved in bit group units according to a predetermined pattern (hereinafter also referred to as a GW pattern).

[0481] Here, the (i + 1)-th bit group from the beginning when an LDPC code of one codeword is divided into bit groups is hereinafter also referred to as bit group i.

[0482] When the unit size P is 360, for example, an LDPC code with a code length N of 1800 bits is divided into 5 (= 1800 / 360) bit groups of bit groups 0, 1, 2, 3, and 4. Further, for example, an LDPC code with a code length N of 69,120 bits is divided into 192 (= 69,120 / 360) bit groups of bit groups 0, 1, ···, 191.

[0483] Also, hereinafter, the GW pattern shall be represented by an arrangement of numbers representing bit groups. For example, for an LDPC code with a code length N of 1800 bits, for example, the GW pattern 4, 2, 0, 3, 1 represents interleaving (rearranging) the arrangement of bit groups 0, 1, 2, 3, 4 into the arrangement of bit groups 4, 2, 0, 3, 1.

[0484] For example, now, let the (i + 1)-th code bit from the beginning of an LDPC code with a code length N of 1800 bits be represented by x i as follows.

[0485] In this case, according to the group-wise interleaving of the GW pattern 4, 2, 0, 3, 1, the 1800-bit LDPC code {x 0 , x 1 ,..., x 1799} is interleaved into the arrangement of {x 1440 , x 1441 ,..., x 1799 , {x 720 , x 721 ,..., x 1079 , {x 0 , x 1 ,..., x 359 , {x 1080 , x 1081 ,..., x 1439 , {x 360 , x 361 ,..., x 719}.

[0486] The GW pattern can be set for each code length N of the LDPC code, for each coding rate r, for each modulation method, for each constellation, and further for each combination of two or more of the code length N, coding rate r, modulation method, and constellation.

[0487] <Example of GW Pattern for LDPC Code>

[0488] FIG. 111 is a diagram showing a first example of a GW pattern for an LDPC code with a code length N of 69120 bits.

[0489] According to the GW pattern of FIG. 111, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of the bit group 12, 8, 132, 26, 3, 18, 19, 98, 37, 190, 123, 81, 95, 167, 76, 66, 27, 46, 105, 28, 29, 170, 20, 96, 35, 177, 24, 86, 114, 63, 52, 80, 119, 153, 121, 107, 97, 129, 57, 38, 15, 91, 122, 14, 104, 175, 150, 1, 124, 72, 90, 32, 161, 78, 44, 73, 134, 162, 5, 11, 179, 93, 6, 152, 180, 68, 36, 103, 160, 100, 138, 146, 9, 82, 187, 147, 7, 87, 17, 102, 69, 110, 130, 42, 16, 71, 2, 169, 58, 33, 136, 106, 140, 84, 79, 143, 156, 139, 55, 116, 4, 21, 144, 64, 70, 158, 48, 118, 184, 50, 181, 120, 174, 133, 115, 53, 127, 74, 25, 49, 88, 22, 89, 34, 126, 61, 94, 172, 131, 39, 99, 183, 163, 111, 155, 51, 191, 31, 128, 149, 56, 85, 109, 10, 151, 188, 40, 83, 41, 47, 178, 186, 43, 54, 164, 13, 142, 117, 92, 113, 182, 168, 165, 101, 171, 159, 60, 166, 77, 30, 67, 23, 0, 65, 141, 185, 112, 145, 135, 108, 176, 45, 148, 137, 125, 62, 75, 189, 59, 173, 154, 157 in the following order.

[0490] FIG. 112 is a diagram showing a second example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0491] According to the GW pattern of FIG. 112, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 14, 119, 182, 5, 127, 21, 152, 11, 39, 164, 25, 69, 59, 140, 73, 9, 104, 148, 77, 44, 138, 89, 184, 35, 112, 150, 178, 26, 123, 133, 91, 76, 70, 0, 176, 118, 22, 147, 96, 108, 109, 139, 18, 157, 181, 126, 174, 179, 116, 38, 45, 158, 106, 168, 10, 97, 114, 129, 180, 52, 7, 67, 43, 50, 120, 122, 3, 13, 72, 185, 34, 83, 124, 105, 162, 87, 131, 155, 135, 42, 64, 165, 41, 71, 189, 159, 143, 102, 153, 17, 24, 30, 66, 137, 62, 55, 48, 98, 110, 40, 121, 187, 74, 92, 60, 101, 57, 33, 130, 173, 32, 166, 128, 54, 99, 111, 100, 16, 84, 132, 161, 4, 190, 49, 95, 141, 28, 85, 61, 53, 183, 6, 68, 2, 163, 37, 103, 186, 154, 171, 170, 78, 117, 93, 8, 145, 51, 56, 191, 90, 82, 151, 115, 175, 1, 125, 79, 20, 80, 36, 169, 46, 167, 63, 177, 149, 81, 12, 156, 142, 31, 47, 88, 65, 134, 94, 86, 160, 172, 19, 23, 136, 58, 146, 15, 75, 107, 188, 29, 113, 144, 27 are interleaved with the following sequence.

[0492] FIG. 113 shows a third example of a GW pattern for an LDPC code with a code length N of 69120 bits.

[0493] According to the GW pattern of FIG. 113, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit group 121, 28, 49, 4, 21, 191, 90, 101, 188, 126, 8, 131, 81, 150, 141, 152, 17, 82, 61, 119, 125, 145, 153, 45, 108, 22, 94, 48, 29, 12, 59, 140, 75, 169, 183, 157, 142, 158, 113, 79, 89, 186, 112, 80, 56, 120, 166, 15, 43, 2, 62, 115, 38, 123, 73, 179, 155, 171, 185, 5, 168, 172, 190, 106, 174, 96, 116, 91, 30, 147, 19, 149, 37, 175, 124, 156, 14, 144, 86, 110, 40, 68, 162, 66, 130, 74, 165, 180, 13, 177, 122, 23, 109, 95, 42, 117, 65, 3, 111, 18, 32, 52, 97, 184, 54, 46, 167, 136, 1, 134, 189, 187, 16, 36, 84, 132, 170, 34, 57, 24, 137, 100, 39, 127, 6, 102, 10, 25, 114, 146, 53, 99, 85, 35, 78, 148, 9, 143, 139, 92, 173, 27, 11, 26, 104, 176, 98, 129, 51, 103, 160, 71, 154, 118, 67, 33, 181, 87, 77, 47, 159, 178, 83, 70, 164, 44, 69, 88, 63, 161, 182, 133, 20, 41, 64, 76, 31, 50, 128, 105, 0, 135, 55, 72, 93, 151, 107, 163, 60, 138, 7, 58 .

[0494] FIG. 114 is a diagram showing a fourth example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0495] According to the GW pattern of FIG. 114, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 99, 59, 95, 50, 122, 15, 144, 6, 129, 36, 175, 159, 165, 35, 182, 181, 189, 29, 2, 115, 91, 41, 60, 160, 51, 106, 168, 173, 20, 138, 183, 70, 24, 127, 47, 5, 119, 171, 102, 135, 116, 156, 120, 105, 117, 136, 149, 128, 85, 46, 186, 113, 73, 103, 52, 82, 89, 184, 22, 185, 155, 125, 133, 37, 27, 10, 137, 76, 12, 98, 148, 109, 42, 16, 190, 84, 94, 97, 25, 11, 88, 166, 131, 48, 161, 65, 9, 8, 58, 56, 124, 68, 54, 3, 169, 146, 87, 108, 110, 121, 163, 57, 90, 100, 66, 49, 61, 178, 18, 7, 28, 67, 13, 32, 34, 86, 153, 112, 63, 43, 164, 132, 118, 93, 38, 39, 17, 154, 170, 81, 141, 191, 152, 111, 188, 147, 180, 75, 72, 26, 177, 126, 179, 55, 1, 143, 45, 21, 40, 123, 23, 162, 77, 62, 134, 158, 176, 31, 69, 114, 142, 19, 96, 101, 71, 30, 140, 187, 92, 80, 79, 0, 104, 53, 145, 139, 14, 33, 74, 157, 150, 44, 172, 151, 64, 78, 130, 83, 167, 4, 107, 174 are interleaved with the sequence of

[0496] FIG. 115 shows a fifth example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0497] According to the GW pattern of FIG. 115, the order of bit groups 0 to 191 of the 69120-bit LDPC code is interleaved with the order of bit group 170, 45, 67, 94, 110, 153, 19, 38, 112, 176, 49, 138, 35, 114, 184, 159, 17, 41, 47, 189, 65, 125, 154, 57, 83, 6, 97, 167, 51, 59, 23, 81, 54, 46, 168, 178, 148, 5, 122, 129, 155, 179, 95, 102, 8, 119, 29, 113, 14, 60, 43, 66, 55, 103, 111, 88, 56, 7, 118, 63, 134, 108, 61, 187, 124, 31, 133, 22, 79, 52, 36, 144, 89, 177, 40, 116, 121, 135, 163, 92, 117, 162, 149, 106, 173, 181, 11, 164, 185, 99, 18, 158, 16, 12, 48, 9, 123, 147, 145, 169, 130, 183, 28, 151, 71, 126, 69, 165, 21, 13, 15, 62, 80, 182, 76, 90, 180, 50, 127, 131, 109, 3, 115, 120, 161, 82, 34, 78, 128, 142, 136, 75, 86, 137, 26, 25, 44, 91, 42, 73, 140, 146, 152, 27, 101, 93, 20, 166, 171, 100, 70, 84, 53, 186, 24, 98, 4, 37, 141, 190, 68, 150, 1, 72, 39, 87, 188, 191, 156, 33, 30, 160, 143, 64, 132, 77, 0, 58, 174, 157, 105, 175, 10, 172, 104, 2, 96, 139, 32, 85, 107, 74 .

[0498] FIG. 116 is a diagram showing a sixth example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0499] According to the GW pattern of FIG. 116, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 111, 156, 189, 11, 132, 114, 100, 154, 77, 79, 95, 161, 47, 142, 36, 98, 3, 125, 159, 120, 40, 160, 29, 153, 16, 39, 101, 58, 191, 46, 76, 4, 183, 176, 62, 60, 74, 7, 37, 127, 19, 186, 71, 50, 139, 27, 188, 113, 38, 130, 124, 26, 146, 131, 102, 110, 105, 147, 86, 150, 94, 162, 175, 88, 104, 55, 89, 181, 34, 69, 22, 92, 133, 1, 25, 0, 158, 10, 24, 116, 164, 165, 112, 72, 106, 129, 81, 66, 54, 49, 136, 118, 83, 41, 2, 56, 145, 28, 177, 168, 117, 9, 157, 173, 115, 149, 42, 103, 14, 84, 155, 187, 99, 6, 43, 70, 140, 73, 32, 78, 75, 167, 148, 48, 134, 178, 59, 15, 63, 91, 82, 33, 135, 166, 190, 152, 96, 137, 12, 182, 61, 107, 128, 119, 179, 45, 184, 65, 172, 138, 31, 57, 174, 17, 180, 5, 30, 170, 23, 85, 185, 35, 44, 123, 90, 20, 122, 8, 64, 141, 169, 121, 97, 108, 80, 171, 18, 13, 87, 163, 109, 52, 51, 21, 93, 67, 126, 68, 53, 143, 144, 151 are interleaved with the sequence of .

[0500] FIG. 117 shows a seventh example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0501] According to the GW pattern of FIG. 117, the arrangement of bit groups 0 to 191 of the 69120-bit LDPC code is interleaved with the arrangement of bit group 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 .

[0502] FIG. 118 is a diagram showing an eighth example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0503] According to the GW pattern of FIG. 118, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 are interleaved with the sequence of

[0504] FIG. 119 is a diagram showing a ninth example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0505] According to the GW pattern of FIG. 119, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit group 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 .

[0506] FIG. 120 is a diagram showing the 10th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0507] According to the GW pattern of FIG. 120, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 are interleaved with the sequence of

[0508] FIG. 121 is a diagram showing an eleventh example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0509] According to the GW pattern of FIG. 121, the arrangement of bit groups 0 to 191 of the 69120-bit LDPC code is the bit group 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 is interleaved with the arrangement of.

[0510] FIG. 122 is a diagram showing a 12th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0511] According to the GW pattern of FIG. 122, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 are interleaved with the sequence of

[0512] FIG. 123 shows a 13th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0513] According to the GW pattern of FIG. 123, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit groups 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191 as follows.

[0514] FIG. 124 is a diagram showing a 14th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0515] According to the GW pattern of FIG. 124, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 154, 106, 99, 177, 191, 55, 189, 181, 22, 62, 80, 114, 110, 141, 83, 103, 169, 156, 130, 186, 92, 45, 68, 126, 112, 185, 160, 158, 17, 145, 162, 127, 152, 174, 134, 18, 157, 120, 3, 29, 13, 135, 173, 86, 73, 150, 46, 153, 33, 61, 142, 102, 171, 168, 78, 77, 139, 85, 176, 163, 128, 101, 42, 2, 14, 38, 10, 125, 90, 30, 63, 172, 47, 108, 89, 0, 32, 94, 23, 34, 59, 35, 129, 12, 146, 8, 60, 27, 147, 180, 100, 87, 184, 167, 36, 79, 138, 4, 95, 148, 72, 54, 91, 182, 28, 133, 164, 175, 123, 107, 137, 88, 44, 116, 69, 7, 31, 124, 144, 105, 170, 6, 165, 15, 161, 24, 58, 70, 11, 56, 143, 111, 104, 74, 67, 109, 82, 21, 52, 9, 71, 48, 26, 117, 50, 149, 140, 20, 57, 136, 113, 64, 151, 190, 131, 19, 51, 96, 76, 1, 97, 40, 53, 84, 166, 75, 159, 98, 81, 49, 66, 188, 118, 39, 132, 187, 25, 119, 41, 122, 16, 5, 93, 115, 178, 65, 121, 37, 155, 183, 43, 179 are interleaved with the sequence of.

[0516] FIG. 125 is a diagram showing a 15th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0517] According to the GW pattern of FIG. 125, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit group 1, 182, 125, 0, 121, 47, 63, 154, 76, 99, 82, 163, 102, 166, 28, 189, 56, 67, 54, 39, 40, 185, 184, 65, 179, 4, 91, 87, 137, 170, 98, 71, 169, 49, 73, 37, 11, 143, 150, 123, 93, 62, 3, 50, 26, 140, 178, 95, 183, 33, 21, 53, 112, 128, 118, 120, 106, 139, 32, 130, 173, 132, 156, 119, 83, 176, 159, 13, 145, 36, 30, 113, 2, 41, 147, 174, 94, 88, 92, 60, 165, 59, 25, 161, 100, 85, 81, 61, 138, 48, 177, 77, 6, 22, 16, 43, 115, 23, 12, 66, 70, 9, 164, 122, 58, 105, 69, 42, 38, 19, 24, 180, 175, 74, 160, 34, 101, 72, 114, 142, 20, 8, 15, 190, 144, 104, 79, 172, 148, 31, 168, 10, 107, 14, 35, 52, 134, 126, 167, 149, 116, 186, 17, 162, 151, 5, 136, 55, 44, 110, 158, 46, 191, 29, 153, 155, 117, 188, 131, 97, 146, 103, 78, 109, 129, 57, 111, 45, 68, 157, 84, 141, 89, 64, 7, 108, 152, 75, 18, 96, 133, 171, 86, 181, 127, 27, 124, 187, 135, 80, 51, 90 as follows.

[0518] FIG. 126 is a diagram showing a 16th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0519] According to the GW pattern of FIG. 126, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 35, 75, 166, 145, 143, 184, 62, 96, 54, 63, 157, 103, 32, 43, 126, 187, 144, 91, 78, 44, 39, 109, 185, 102, 10, 68, 29, 42, 149, 83, 133, 94, 130, 27, 171, 19, 51, 165, 148, 28, 36, 33, 173, 136, 87, 82, 100, 49, 120, 152, 161, 162, 147, 71, 137, 57, 8, 53, 132, 151, 163, 123, 47, 92, 90, 60, 99, 79, 59, 108, 115, 72, 0, 12, 140, 160, 61, 180, 74, 37, 86, 117, 191, 101, 52, 15, 80, 156, 127, 81, 131, 141, 142, 31, 95, 4, 73, 64, 16, 18, 146, 70, 181, 7, 89, 124, 77, 67, 116, 21, 34, 41, 105, 113, 97, 2, 6, 55, 17, 65, 38, 48, 158, 159, 179, 5, 30, 183, 170, 135, 125, 20, 106, 186, 182, 188, 114, 1, 14, 3, 134, 178, 189, 167, 40, 119, 22, 190, 58, 23, 155, 138, 98, 84, 11, 110, 88, 46, 177, 175, 25, 150, 118, 121, 129, 168, 13, 128, 104, 69, 112, 169, 9, 45, 174, 93, 26, 56, 76, 50, 154, 139, 66, 85, 153, 107, 111, 172, 176, 164, 24, 122 are interleaved with the sequence of .

[0520] FIG. 127 shows the 17th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0521] According to the GW pattern of FIG. 127, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit group 155, 188, 123, 132, 15, 79, 59, 119, 66, 68, 41, 175, 184, 78, 142, 32, 54, 111, 139, 134, 95, 34, 161, 150, 58, 141, 74, 112, 121, 99, 178, 179, 57, 90, 80, 21, 11, 29, 67, 104, 52, 87, 38, 81, 181, 160, 176, 16, 71, 13, 186, 171, 9, 170, 2, 177, 0, 88, 149, 190, 69, 33, 183, 146, 61, 117, 113, 6, 96, 120, 162, 23, 53, 140, 91, 128, 46, 93, 174, 126, 159, 133, 8, 152, 103, 102, 151, 143, 100, 4, 180, 166, 55, 164, 18, 49, 62, 20, 83, 7, 187, 153, 64, 37, 144, 185, 19, 114, 25, 116, 12, 173, 122, 127, 89, 115, 75, 101, 189, 124, 157, 108, 28, 165, 163, 65, 168, 77, 82, 27, 137, 86, 22, 110, 63, 148, 158, 97, 31, 105, 135, 98, 44, 70, 182, 191, 17, 156, 129, 39, 136, 169, 3, 145, 154, 109, 76, 5, 10, 106, 35, 94, 172, 45, 51, 60, 42, 50, 72, 85, 40, 118, 36, 14, 130, 131, 138, 43, 48, 125, 84, 24, 26, 1, 56, 107, 92, 147, 47, 30, 73, 167 as follows.

[0522] FIG. 128 is a diagram showing an 18th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0523] According to the GW pattern of FIG. 128, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 152, 87, 170, 33, 48, 95, 2, 184, 145, 51, 94, 164, 38, 90, 158, 70, 124, 128, 66, 111, 79, 42, 45, 141, 83, 73, 57, 119, 20, 67, 31, 179, 123, 183, 26, 188, 15, 163, 1, 133, 105, 72, 81, 153, 69, 182, 101, 180, 185, 190, 77, 6, 127, 138, 75, 59, 24, 175, 30, 186, 139, 56, 100, 176, 147, 189, 116, 131, 25, 5, 16, 117, 74, 50, 171, 114, 76, 44, 107, 135, 71, 181, 13, 43, 122, 78, 4, 58, 35, 63, 187, 98, 37, 169, 148, 7, 10, 49, 80, 161, 167, 28, 142, 46, 97, 92, 121, 112, 88, 102, 106, 173, 19, 27, 41, 172, 91, 191, 34, 118, 108, 136, 166, 155, 96, 3, 165, 103, 84, 109, 104, 53, 23, 0, 178, 17, 86, 9, 168, 134, 110, 18, 32, 146, 129, 159, 55, 154, 126, 40, 151, 174, 60, 52, 22, 149, 156, 113, 143, 11, 93, 62, 177, 64, 61, 160, 150, 65, 130, 82, 29, 115, 137, 36, 8, 157, 54, 89, 99, 120, 68, 21, 140, 14, 39, 132, 125, 12, 85, 162, 47, 144 are interleaved with the sequence of

[0524] FIG. 129 is a diagram showing the 19th example of the GW pattern for an LDPC code with a code length N of 69120 bits.

[0525] According to the GW pattern of FIG. 129, the arrangement of bit groups 0 to 191 of the 69120-bit LDPC code is the bit group 140, 8, 176, 13, 41, 165, 27, 109, 121, 153, 58, 181, 143, 164, 103, 115, 91, 66, 60, 189, 101, 4, 14, 102, 45, 124, 104, 159, 130, 133, 135, 77, 25, 59, 180, 141, 144, 62, 114, 182, 134, 148, 11, 20, 125, 83, 162, 75, 126, 67, 9, 178, 171, 152, 166, 69, 174, 15, 80, 168, 131, 95, 56, 48, 63, 82, 147, 51, 108, 52, 30, 139, 22, 37, 173, 112, 191, 98, 116, 149, 167, 142, 29, 154, 92, 94, 71, 117, 79, 122, 129, 24, 81, 105, 97, 137, 128, 1, 113, 170, 119, 7, 158, 76, 19, 183, 68, 31, 50, 118, 33, 72, 55, 65, 146, 185, 111, 145, 28, 21, 177, 160, 32, 61, 70, 106, 156, 78, 132, 88, 184, 35, 5, 53, 138, 47, 100, 10, 42, 36, 175, 93, 120, 190, 16, 123, 87, 54, 186, 18, 57, 84, 99, 12, 163, 157, 188, 64, 38, 26, 2, 136, 40, 169, 90, 107, 46, 172, 49, 6, 39, 44, 150, 85, 0, 17, 127, 155, 110, 34, 96, 74, 86, 187, 89, 151, 43, 179, 161, 73, 23, 3 is interleaved with the arrangement of.

[0526] FIG. 130 is a diagram showing the 20th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0527] According to the GW pattern of FIG. 130, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 10, 61, 30, 88, 33, 60, 1, 102, 45, 103, 119, 181, 82, 112, 12, 67, 69, 171, 108, 26, 145, 156, 81, 152, 8, 16, 68, 13, 99, 183, 146, 27, 158, 147, 132, 118, 180, 120, 173, 59, 186, 49, 7, 17, 35, 104, 129, 75, 54, 72, 18, 48, 15, 177, 191, 51, 24, 93, 106, 22, 71, 29, 141, 32, 143, 128, 175, 86, 190, 74, 36, 43, 144, 46, 63, 65, 133, 31, 87, 44, 20, 117, 76, 187, 80, 101, 151, 47, 130, 116, 162, 127, 153, 100, 94, 2, 41, 138, 125, 131, 11, 50, 40, 21, 184, 167, 172, 85, 160, 105, 73, 38, 157, 53, 39, 97, 107, 165, 168, 89, 148, 126, 3, 4, 114, 161, 155, 182, 136, 149, 111, 98, 113, 139, 92, 109, 174, 185, 95, 56, 135, 37, 163, 154, 0, 96, 78, 122, 5, 179, 140, 83, 123, 77, 9, 19, 66, 42, 137, 14, 23, 159, 189, 110, 142, 84, 169, 166, 52, 91, 164, 28, 124, 121, 70, 115, 90, 170, 58, 6, 178, 176, 64, 188, 57, 34, 79, 62, 25, 134, 150, 55 are interleaved with the sequence of.

[0528] FIG. 131 is a diagram showing a 21st example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0529] According to the GW pattern of FIG. 131, the arrangement of bit groups 0 to 191 of the 69120-bit LDPC code is the bit group 8, 165, 180, 182, 189, 61, 7, 140, 105, 78, 86, 75, 15, 28, 82, 1, 136, 130, 35, 24, 70, 152, 121, 11, 36, 66, 83, 57, 164, 111, 137, 128, 175, 156, 151, 48, 44, 147, 18, 64, 184, 42, 159, 3, 6, 162, 170, 98, 101, 29, 102, 21, 188, 79, 138, 45, 124, 118, 155, 125, 34, 27, 5, 97, 109, 145, 54, 56, 126, 187, 16, 149, 160, 178, 23, 141, 30, 117, 25, 69, 116, 131, 94, 65, 191, 99, 181, 185, 115, 67, 93, 106, 38, 71, 76, 113, 132, 172, 103, 95, 92, 107, 4, 163, 139, 72, 157, 0, 12, 52, 68, 88, 161, 183, 39, 14, 32, 49, 19, 77, 174, 47, 154, 17, 134, 133, 51, 120, 74, 177, 41, 108, 142, 143, 13, 26, 59, 100, 123, 55, 158, 62, 104, 148, 135, 9, 179, 53, 176, 33, 169, 129, 186, 43, 167, 87, 119, 84, 90, 150, 20, 10, 122, 114, 80, 50, 146, 144, 96, 171, 40, 73, 81, 168, 112, 190, 37, 173, 46, 110, 60, 85, 153, 2, 63, 91, 127, 89, 31, 58, 22, 166 is interleaved with the arrangement of.

[0530] FIG. 132 is a diagram showing a 22nd example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0531] According to the GW pattern of FIG. 132, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 17, 84, 125, 70, 134, 63, 68, 162, 61, 31, 74, 137, 7, 138, 5, 60, 76, 105, 160, 12, 114, 81, 155, 112, 153, 191, 82, 148, 118, 108, 58, 159, 43, 161, 149, 96, 71, 30, 145, 174, 67, 77, 47, 94, 48, 156, 151, 141, 131, 176, 183, 41, 35, 83, 164, 55, 169, 98, 187, 124, 100, 54, 104, 40, 2, 72, 8, 85, 182, 103, 6, 37, 107, 39, 42, 123, 57, 106, 13, 150, 129, 46, 109, 188, 45, 113, 44, 90, 20, 165, 142, 110, 22, 28, 173, 38, 52, 16, 34, 0, 3, 144, 27, 49, 139, 177, 132, 184, 25, 87, 152, 119, 158, 78, 186, 167, 97, 24, 99, 69, 120, 122, 133, 163, 21, 51, 101, 185, 111, 26, 18, 10, 33, 170, 95, 65, 14, 130, 157, 59, 115, 127, 92, 56, 1, 80, 66, 126, 178, 147, 75, 179, 171, 53, 146, 88, 4, 128, 121, 86, 117, 19, 23, 168, 181, 11, 102, 93, 73, 140, 89, 136, 9, 180, 62, 36, 79, 91, 190, 143, 29, 154, 32, 64, 166, 116, 15, 189, 175, 50, 135, 172 are interleaved with the sequence of

[0532] FIG. 133 shows the 23rd example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0533] According to the GW pattern of FIG. 133, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of the bit group 157, 20, 116, 115, 49, 178, 148, 152, 174, 130, 171, 81, 60, 146, 182, 72, 46, 22, 93, 101, 9, 55, 40, 163, 118, 30, 52, 181, 151, 31, 87, 117, 120, 82, 95, 190, 23, 36, 67, 62, 14, 167, 80, 27, 24, 43, 94, 0, 63, 5, 74, 78, 158, 88, 84, 109, 147, 112, 124, 110, 21, 47, 45, 68, 184, 70, 1, 66, 149, 105, 140, 170, 56, 98, 135, 61, 79, 123, 166, 185, 41, 108, 122, 92, 16, 26, 37, 177, 173, 113, 136, 89, 162, 85, 54, 39, 73, 58, 131, 134, 188, 127, 3, 164, 13, 132, 129, 179, 25, 18, 57, 32, 119, 111, 53, 155, 28, 107, 133, 144, 19, 160, 71, 186, 153, 103, 2, 12, 91, 106, 64, 175, 75, 189, 128, 142, 187, 76, 180, 34, 59, 169, 90, 11, 172, 97, 141, 38, 191, 17, 114, 126, 145, 83, 143, 125, 121, 10, 44, 137, 86, 29, 104, 154, 168, 65, 159, 15, 99, 35, 50, 48, 138, 96, 100, 102, 7, 42, 156, 8, 4, 69, 183, 51, 165, 6, 150, 77, 161, 33, 176, 139 in the following order.

[0534] FIG. 134 is a diagram showing the 24th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0535] According to the GW pattern of FIG. 134, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 42, 168, 36, 37, 152, 118, 14, 83, 105, 131, 26, 120, 92, 130, 158, 132, 49, 72, 137, 100, 88, 24, 53, 142, 110, 102, 74, 188, 113, 121, 12, 173, 5, 126, 127, 3, 93, 46, 164, 109, 151, 2, 98, 153, 116, 89, 101, 136, 35, 80, 0, 133, 183, 162, 185, 56, 17, 87, 117, 184, 54, 70, 176, 91, 134, 51, 38, 73, 165, 99, 169, 43, 167, 86, 11, 144, 78, 58, 64, 13, 119, 33, 166, 6, 75, 31, 15, 28, 125, 148, 27, 114, 82, 45, 55, 191, 160, 115, 1, 69, 187, 122, 177, 32, 172, 52, 112, 171, 124, 180, 85, 150, 7, 57, 60, 94, 181, 29, 97, 128, 19, 149, 175, 50, 140, 10, 174, 68, 59, 39, 106, 44, 62, 71, 18, 107, 156, 159, 146, 48, 81, 111, 96, 103, 34, 161, 141, 154, 76, 61, 135, 20, 84, 77, 108, 23, 145, 182, 170, 139, 157, 47, 9, 63, 123, 138, 155, 79, 4, 30, 143, 25, 90, 66, 147, 186, 179, 129, 21, 65, 41, 95, 67, 22, 163, 190, 16, 8, 104, 189, 40, 178 are interleaved with the sequence of.

[0536] FIG. 135 is a diagram showing the 25th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0537] According to the GW pattern of FIG. 135, the arrangement of bit groups 0 to 191 of the 69120-bit LDPC code is interleaved with the arrangement of bit groups 92, 132, 39, 44, 190, 21, 70, 146, 48, 13, 17, 187, 119, 43, 94, 157, 150, 98, 96, 47, 86, 63, 152, 158, 84, 170, 81, 7, 62, 191, 174, 99, 116, 10, 85, 113, 135, 28, 53, 122, 83, 141, 77, 23, 131, 4, 40, 168, 129, 109, 51, 130, 188, 147, 29, 50, 26, 78, 148, 164, 167, 103, 36, 134, 2, 177, 20, 123, 27, 90, 176, 5, 33, 133, 189, 138, 76, 41, 89, 35, 72, 139, 32, 73, 68, 67, 101, 166, 93, 54, 52, 42, 110, 59, 8, 179, 34, 171, 143, 137, 9, 126, 155, 108, 142, 120, 163, 12, 3, 75, 159, 107, 65, 128, 87, 6, 22, 57, 100, 24, 64, 106, 117, 19, 58, 95, 74, 180, 125, 136, 186, 154, 121, 161, 88, 37, 114, 102, 105, 160, 80, 185, 82, 124, 184, 15, 16, 18, 118, 173, 151, 11, 91, 79, 46, 140, 127, 1, 169, 0, 61, 66, 45, 162, 149, 115, 144, 30, 25, 175, 153, 183, 60, 38, 31, 111, 182, 49, 55, 145, 56, 181, 104, 14, 71, 178, 112, 172, 165, 69, 97, 156 of.

[0538] FIG. 136 is a diagram showing the 26th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0539] According to the GW pattern of FIG. 136, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 133, 96, 46, 148, 78, 109, 149, 161, 55, 39, 183, 54, 186, 73, 150, 180, 189, 190, 22, 135, 12, 80, 42, 130, 164, 70, 126, 107, 57, 67, 15, 157, 52, 88, 5, 23, 123, 66, 53, 147, 177, 60, 131, 108, 171, 191, 44, 140, 98, 154, 37, 118, 176, 92, 124, 138, 132, 167, 173, 13, 79, 32, 145, 14, 113, 30, 2, 0, 165, 182, 153, 24, 144, 87, 82, 75, 141, 89, 137, 33, 100, 106, 128, 168, 29, 36, 172, 11, 111, 68, 16, 10, 34, 188, 35, 160, 77, 83, 178, 58, 59, 7, 56, 110, 104, 61, 76, 85, 121, 93, 19, 134, 179, 155, 163, 115, 185, 125, 112, 71, 8, 119, 18, 47, 151, 26, 103, 122, 9, 170, 146, 99, 49, 72, 102, 31, 40, 43, 158, 142, 4, 69, 139, 28, 174, 101, 84, 129, 156, 74, 62, 91, 159, 41, 38, 45, 136, 169, 21, 51, 181, 97, 166, 175, 90, 27, 86, 65, 105, 143, 127, 17, 6, 116, 94, 117, 48, 50, 25, 64, 95, 63, 184, 152, 120, 1, 187, 162, 114, 3, 81, 20 is interleaved with the sequence of

[0540] FIG. 137 is a diagram showing the 27th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0541] According to the GW pattern of FIG. 137, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit groups 59, 34, 129, 18, 137, 6, 83, 139, 47, 148, 147, 110, 11, 98, 62, 149, 158, 14, 42, 180, 23, 128, 99, 181, 54, 176, 35, 130, 53, 179, 39, 152, 32, 52, 69, 82, 84, 113, 79, 21, 95, 7, 126, 191, 86, 169, 111, 12, 55, 27, 182, 120, 123, 88, 107, 50, 144, 49, 38, 165, 0, 159, 10, 43, 114, 187, 150, 19, 65, 48, 124, 8, 141, 171, 173, 17, 167, 92, 74, 170, 184, 67, 33, 172, 16, 119, 66, 57, 89, 106, 26, 78, 178, 109, 70, 2, 157, 15, 105, 22, 174, 127, 100, 71, 97, 163, 9, 77, 87, 41, 183, 117, 46, 40, 131, 85, 136, 72, 122, 1, 45, 13, 44, 56, 61, 146, 25, 132, 177, 76, 121, 160, 112, 5, 134, 73, 91, 135, 68, 3, 80, 90, 190, 60, 75, 145, 115, 81, 161, 156, 116, 166, 96, 28, 138, 94, 162, 140, 102, 4, 133, 30, 155, 189, 143, 64, 185, 164, 104, 142, 154, 118, 24, 31, 153, 103, 51, 108, 29, 37, 58, 186, 175, 36, 151, 63, 93, 188, 125, 101, 20, 168 .

[0542] FIG. 138 is a diagram showing the 28th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0543] According to the GW pattern of FIG. 138, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 61, 110, 123, 127, 148, 162, 131, 71, 176, 22, 157, 0, 151, 155, 112, 189, 36, 181, 10, 46, 133, 75, 80, 88, 6, 165, 97, 54, 31, 174, 49, 139, 98, 4, 170, 26, 50, 16, 141, 187, 13, 109, 106, 120, 72, 32, 63, 59, 79, 172, 83, 100, 92, 24, 56, 130, 167, 81, 103, 111, 158, 159, 153, 175, 8, 41, 136, 70, 33, 45, 84, 150, 39, 166, 164, 99, 126, 190, 134, 40, 87, 64, 154, 140, 116, 184, 115, 183, 30, 35, 7, 42, 146, 86, 58, 12, 14, 149, 89, 179, 128, 160, 95, 171, 74, 25, 29, 119, 143, 178, 28, 21, 23, 90, 188, 96, 173, 93, 147, 191, 18, 62, 2, 132, 20, 11, 17, 135, 152, 67, 73, 108, 76, 91, 156, 104, 48, 121, 94, 125, 38, 65, 177, 68, 37, 124, 78, 118, 186, 34, 185, 113, 169, 9, 69, 82, 163, 114, 145, 168, 44, 52, 105, 51, 137, 1, 161, 3, 55, 182, 101, 57, 43, 77, 5, 47, 144, 180, 66, 53, 19, 117, 60, 138, 142, 107, 122, 85, 27, 129, 15, 102 are interleaved in the order of.

[0544] FIG. 139 is a diagram showing the 29th example of the GW pattern for an LDPC code with a code length N of 69120 bits.

[0545] According to the GW pattern of FIG. 139, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit groups 8, 174, 121, 46, 70, 106, 183, 9, 96, 109, 72, 130, 47, 168, 1, 190, 18, 90, 103, 135, 105, 112, 23, 33, 185, 31, 171, 111, 0, 115, 4, 159, 25, 65, 134, 146, 26, 37, 16, 169, 167, 74, 67, 155, 154, 83, 117, 53, 19, 161, 76, 12, 7, 131, 59, 51, 189, 42, 114, 142, 126, 66, 164, 191, 55, 132, 35, 153, 137, 87, 5, 100, 122, 150, 2, 49, 32, 172, 149, 177, 15, 82, 98, 34, 140, 170, 56, 78, 188, 57, 118, 186, 181, 52, 71, 24, 81, 22, 11, 156, 86, 148, 97, 38, 48, 64, 40, 165, 180, 125, 127, 143, 88, 43, 61, 158, 28, 162, 187, 110, 84, 157, 27, 41, 39, 124, 85, 58, 20, 44, 102, 36, 77, 147, 120, 179, 21, 60, 92, 138, 119, 173, 160, 144, 91, 99, 107, 101, 145, 184, 108, 95, 69, 63, 3, 89, 128, 136, 94, 129, 50, 79, 68, 151, 104, 163, 123, 182, 93, 29, 133, 152, 178, 80, 62, 54, 14, 141, 166, 176, 45, 30, 10, 6, 75, 73, 116, 175, 17, 113, 139, 13 as follows.

[0546] FIG. 140 is a diagram showing a 30th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0547] According to the GW pattern of FIG. 140, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 179, 91, 101, 128, 169, 69, 185, 35, 156, 168, 132, 163, 46, 28, 5, 41, 162, 112, 108, 130, 153, 79, 118, 102, 125, 176, 71, 20, 115, 98, 124, 75, 103, 21, 164, 173, 9, 36, 56, 134, 24, 16, 159, 34, 15, 42, 104, 54, 120, 76, 60, 33, 127, 88, 133, 137, 61, 19, 3, 170, 87, 190, 13, 141, 188, 106, 113, 67, 145, 146, 111, 74, 89, 62, 175, 49, 32, 99, 93, 107, 171, 66, 80, 155, 100, 152, 4, 10, 126, 109, 181, 154, 105, 48, 136, 161, 183, 97, 31, 12, 8, 184, 47, 142, 18, 14, 117, 73, 84, 70, 68, 0, 23, 96, 165, 29, 122, 81, 17, 131, 44, 157, 26, 25, 189, 83, 178, 37, 123, 82, 191, 39, 7, 72, 160, 64, 143, 149, 138, 65, 58, 119, 63, 166, 114, 95, 172, 43, 140, 57, 158, 186, 86, 174, 92, 45, 139, 144, 147, 148, 151, 59, 30, 85, 40, 51, 187, 78, 38, 150, 129, 121, 27, 94, 52, 177, 110, 182, 55, 22, 167, 90, 77, 6, 11, 1, 116, 53, 2, 50, 135, 180 are interleaved with the following sequence.

[0548] FIG. 141 shows a 31st example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0549] According to the GW pattern of FIG. 141, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit groups 99, 59, 95, 50, 122, 15, 144, 6, 129, 36, 175, 159, 165, 35, 182, 181, 189, 29, 2, 115, 91, 41, 60, 160, 51, 106, 168, 173, 20, 138, 183, 70, 24, 127, 47, 5, 119, 171, 102, 135, 116, 156, 120, 105, 117, 136, 149, 128, 85, 46, 186, 113, 73, 103, 52, 82, 89, 184, 22, 185, 155, 125, 133, 37, 27, 10, 137, 76, 12, 98, 148, 109, 42, 16, 190, 84, 94, 97, 25, 11, 88, 166, 131, 48, 161, 65, 9, 8, 58, 56, 124, 68, 54, 3, 169, 146, 87, 108, 110, 121, 163, 57, 90, 100, 66, 49, 61, 178, 18, 7, 28, 67, 13, 32, 34, 86, 153, 112, 63, 43, 164, 132, 118, 93, 38, 39, 17, 154, 170, 81, 141, 191, 152, 111, 188, 147, 180, 75, 72, 26, 177, 126, 179, 55, 1, 143, 45, 21, 40, 123, 23, 162, 77, 62, 134, 158, 176, 31, 69, 114, 142, 19, 96, 101, 71, 30, 140, 187, 92, 80, 79, 0, 104, 53, 145, 139, 14, 33, 74, 157, 150, 44, 172, 151, 64, 78, 130, 83, 167, 4, 107, 174 in the following order.

[0550] FIG. 142 is a diagram showing a 32nd example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0551] According to the GW pattern of FIG. 142, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 16, 133, 14, 114, 145, 191, 53, 80, 166, 68, 21, 184, 73, 165, 147, 89, 180, 55, 135, 94, 189, 78, 103, 115, 72, 24, 105, 188, 84, 148, 85, 32, 1, 131, 34, 134, 41, 167, 81, 54, 142, 141, 75, 155, 122, 140, 13, 17, 8, 23, 61, 49, 51, 74, 181, 162, 143, 42, 71, 123, 161, 177, 110, 149, 126, 0, 63, 178, 35, 175, 186, 52, 43, 139, 112, 10, 40, 150, 182, 164, 64, 83, 174, 38, 47, 30, 2, 116, 25, 128, 160, 144, 99, 5, 187, 176, 82, 60, 18, 185, 104, 169, 39, 183, 137, 22, 109, 96, 151, 46, 33, 29, 65, 132, 95, 31, 136, 159, 170, 168, 67, 79, 93, 111, 90, 97, 113, 92, 76, 58, 127, 26, 27, 156, 3, 6, 28, 77, 125, 173, 98, 138, 172, 86, 45, 118, 171, 62, 179, 100, 19, 163, 50, 57, 56, 36, 102, 121, 117, 154, 119, 66, 20, 91, 130, 69, 44, 70, 153, 152, 158, 88, 108, 12, 59, 4, 11, 120, 87, 101, 37, 129, 146, 9, 106, 48, 7, 15, 124, 190, 107, 157 are interleaved with the order of

[0552] FIG. 143 is a diagram showing a 33rd example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0553] According to the GW pattern of FIG. 143, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of bit group 178, 39, 54, 68, 122, 20, 86, 137, 156, 55, 52, 72, 130, 152, 147, 12, 69, 48, 107, 44, 88, 23, 181, 174, 124, 81, 59, 93, 22, 46, 82, 110, 3, 99, 75, 36, 38, 119, 131, 51, 115, 78, 84, 33, 163, 11, 2, 188, 161, 34, 89, 50, 8, 90, 109, 136, 77, 103, 67, 41, 149, 176, 134, 189, 159, 184, 153, 53, 129, 63, 160, 139, 150, 169, 148, 127, 25, 175, 142, 98, 56, 144, 102, 94, 101, 85, 132, 76, 5, 177, 0, 128, 45, 162, 92, 62, 133, 30, 17, 9, 61, 70, 154, 4, 146, 24, 135, 104, 13, 185, 79, 138, 31, 112, 1, 49, 113, 106, 100, 65, 10, 83, 73, 26, 58, 114, 66, 126, 117, 96, 186, 14, 40, 164, 158, 118, 29, 121, 151, 168, 183, 179, 16, 105, 125, 190, 116, 165, 80, 64, 170, 140, 171, 173, 97, 60, 43, 123, 71, 182, 167, 95, 145, 141, 187, 166, 87, 143, 15, 74, 111, 157, 32, 172, 18, 57, 35, 191, 27, 47, 21, 6, 19, 155, 42, 120, 180, 37, 28, 91, 108, 7 in the following order.

[0554] FIG. 144 is a diagram showing a 34th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0555] According to the GW pattern of FIG. 144, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 139, 112, 159, 99, 87, 70, 175, 161, 51, 56, 174, 143, 12, 36, 77, 60, 155, 167, 160, 73, 127, 82, 123, 145, 8, 76, 164, 178, 144, 86, 7, 124, 27, 187, 130, 162, 191, 182, 16, 106, 141, 38, 72, 179, 111, 29, 59, 183, 66, 52, 43, 121, 20, 11, 190, 92, 55, 166, 94, 138, 1, 122, 171, 119, 109, 58, 23, 31, 163, 53, 13, 188, 100, 158, 156, 136, 34, 118, 185, 10, 25, 126, 104, 30, 83, 47, 146, 63, 134, 39, 21, 44, 151, 28, 22, 79, 110, 71, 90, 2, 103, 42, 35, 5, 57, 4, 0, 107, 37, 54, 18, 128, 148, 129, 26, 75, 120, 19, 116, 117, 147, 114, 48, 96, 61, 46, 88, 67, 135, 65, 180, 9, 74, 176, 6, 149, 49, 50, 125, 64, 169, 168, 157, 153, 24, 108, 89, 98, 33, 132, 93, 40, 154, 62, 142, 41, 69, 105, 189, 115, 152, 45, 133, 3, 95, 17, 186, 184, 85, 165, 32, 173, 113, 172, 78, 181, 150, 170, 102, 97, 140, 81, 91, 15, 137, 101, 80, 68, 14, 177, 131, 84 are interleaved with the order of

[0556] FIG. 145 is a diagram showing a 35th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0557] According to the GW pattern of FIG. 145, the arrangement of bit groups 0 to 191 of the 69120-bit LDPC code is the bit group 21, 20, 172, 86, 178, 25, 104, 133, 17, 106, 191, 68, 80, 190, 129, 29, 125, 108, 147, 23, 94, 167, 27, 61, 12, 166, 131, 120, 159, 28, 7, 62, 134, 59, 78, 0, 121, 149, 6, 5, 143, 171, 153, 161, 186, 35, 92, 113, 55, 163, 16, 54, 93, 79, 37, 44, 75, 182, 127, 148, 179, 95, 169, 141, 38, 168, 128, 56, 31, 57, 175, 140, 164, 24, 177, 88, 51, 112, 49, 185, 170, 87, 32, 60, 65, 77, 89, 3, 18, 116, 184, 45, 109, 53, 160, 9, 100, 8, 111, 69, 189, 36, 173, 33, 72, 144, 183, 115, 137, 98, 90, 142, 30, 154, 180, 122, 155, 130, 83, 138, 14, 41, 150, 132, 70, 152, 117, 11, 4, 124, 15, 42, 181, 58, 10, 22, 145, 99, 126, 107, 66, 174, 39, 13, 97, 63, 123, 84, 85, 67, 76, 158, 71, 46, 118, 81, 162, 146, 135, 2, 73, 50, 114, 82, 103, 188, 74, 101, 157, 151, 91, 119, 102, 48, 1, 40, 43, 64, 156, 34, 110, 52, 96, 136, 139, 165, 19, 176, 187, 47, 26, 105 is interleaved in the arrangement of.

[0558] FIG. 146 is a diagram showing a 36th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0559] According to the GW pattern of FIG. 146, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 160, 7, 29, 39, 110, 189, 140, 143, 163, 130, 173, 71, 191, 106, 60, 62, 149, 135, 9, 147, 124, 152, 55, 116, 85, 112, 14, 20, 79, 103, 156, 167, 19, 45, 73, 26, 159, 44, 86, 76, 56, 12, 109, 117, 128, 67, 150, 151, 31, 27, 133, 17, 120, 153, 108, 180, 52, 187, 98, 63, 176, 186, 179, 113, 161, 32, 24, 111, 41, 95, 38, 10, 154, 97, 141, 2, 127, 40, 105, 34, 11, 185, 155, 61, 114, 74, 158, 162, 5, 177, 43, 51, 148, 137, 28, 181, 171, 13, 104, 42, 168, 93, 172, 144, 80, 123, 89, 81, 68, 75, 78, 121, 53, 65, 122, 142, 157, 107, 136, 66, 90, 23, 8, 1, 77, 54, 125, 174, 35, 88, 82, 134, 101, 131, 33, 50, 87, 36, 15, 47, 83, 18, 6, 21, 30, 94, 72, 145, 138, 184, 69, 84, 58, 49, 16, 48, 70, 183, 3, 92, 25, 115, 0, 182, 139, 91, 146, 102, 96, 100, 119, 129, 178, 46, 37, 57, 118, 126, 59, 165, 170, 190, 188, 175, 166, 99, 4, 22, 132, 164, 64, 169 are interleaved with the order of

[0560] FIG. 147 is a diagram showing the 37th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0561] According to the GW pattern of FIG. 147, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is interleaved with the arrangement of the bit group 167, 97, 86, 166, 11, 57, 187, 169, 104, 102, 108, 63, 12, 181, 1, 71, 134, 152, 45, 144, 124, 22, 0, 51, 100, 150, 179, 54, 66, 79, 25, 172, 59, 48, 23, 55, 64, 185, 164, 123, 56, 80, 153, 9, 177, 176, 81, 17, 14, 43, 76, 27, 175, 60, 133, 91, 61, 41, 111, 163, 72, 95, 84, 67, 129, 52, 88, 121, 7, 49, 168, 154, 74, 138, 142, 158, 132, 127, 40, 139, 20, 44, 6, 128, 75, 114, 119, 2, 8, 157, 98, 118, 89, 46, 160, 190, 5, 165, 28, 68, 189, 161, 112, 173, 148, 183, 33, 131, 105, 186, 156, 70, 117, 170, 174, 36, 19, 135, 125, 122, 50, 113, 141, 37, 38, 31, 94, 149, 78, 32, 178, 34, 107, 13, 182, 146, 93, 10, 106, 109, 4, 77, 87, 3, 184, 83, 30, 180, 96, 15, 155, 110, 145, 191, 151, 101, 65, 99, 115, 140, 26, 147, 42, 136, 137, 18, 53, 116, 171, 16, 21, 92, 162, 130, 85, 69, 47, 35, 82, 120, 24, 73, 39, 58, 62, 126, 29, 90, 143, 159, 188, 103 in the following order.

[0562] FIG. 148 is a diagram showing a 38th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0563] According to the GW pattern of FIG. 148, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 74, 151, 79, 49, 174, 180, 133, 106, 116, 16, 163, 62, 164, 45, 187, 128, 176, 2, 126, 136, 63, 28, 118, 173, 19, 46, 93, 121, 162, 88, 0, 147, 131, 54, 117, 138, 69, 182, 68, 143, 78, 15, 7, 59, 109, 32, 10, 179, 165, 90, 73, 71, 171, 135, 123, 125, 31, 22, 70, 185, 155, 60, 120, 113, 41, 154, 177, 85, 64, 55, 26, 129, 84, 38, 166, 44, 30, 183, 189, 191, 124, 77, 80, 98, 190, 167, 140, 52, 153, 43, 25, 188, 103, 152, 137, 76, 149, 34, 172, 122, 40, 168, 141, 96, 142, 58, 110, 65, 9, 36, 42, 50, 184, 105, 156, 127, 8, 61, 146, 169, 181, 5, 87, 150, 91, 17, 18, 24, 112, 81, 170, 95, 29, 100, 130, 48, 159, 72, 75, 160, 27, 108, 148, 66, 144, 97, 57, 115, 114, 1, 132, 4, 21, 92, 11, 107, 175, 67, 145, 14, 186, 20, 51, 39, 3, 86, 89, 47, 53, 102, 82, 139, 23, 104, 157, 99, 158, 12, 161, 35, 178, 37, 134, 83, 94, 101, 111, 119, 6, 33, 13, 56 are interleaved with the sequence of

[0564] FIG. 149 shows a 39th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0565] According to the GW pattern of FIG. 149, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is the bit group 20, 118, 185, 106, 82, 53, 41, 40, 121, 180, 45, 10, 145, 175, 191, 160, 177, 172, 13, 29, 133, 42, 89, 51, 141, 99, 7, 134, 52, 48, 169, 162, 124, 25, 165, 128, 95, 148, 98, 171, 14, 75, 59, 26, 76, 47, 34, 122, 69, 131, 105, 60, 132, 63, 81, 109, 43, 189, 19, 186, 79, 62, 85, 54, 16, 46, 27, 44, 139, 113, 11, 102, 130, 184, 119, 1, 152, 146, 37, 178, 61, 150, 32, 163, 92, 166, 142, 67, 140, 157, 188, 18, 87, 149, 65, 183, 161, 5, 31, 71, 173, 73, 15, 138, 156, 28, 66, 170, 179, 135, 86, 39, 104, 17, 154, 174, 56, 153, 0, 97, 9, 72, 23, 167, 190, 80, 3, 38, 120, 4, 24, 159, 12, 103, 22, 125, 83, 50, 6, 77, 168, 74, 93, 49, 57, 147, 2, 155, 181, 96, 114, 107, 110, 30, 117, 127, 101, 94, 129, 35, 58, 70, 126, 182, 151, 111, 91, 64, 88, 144, 137, 143, 176, 84, 136, 8, 112, 123, 164, 115, 78, 36, 90, 100, 55, 108, 21, 158, 68, 33, 116, 187 is interleaved into the arrangement of.

[0566] FIG. 150 is a diagram showing a 40th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0567] According to the GW pattern of FIG. 150, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 42, 43, 190, 119, 183, 103, 51, 28, 171, 20, 18, 25, 85, 22, 157, 99, 174, 5, 53, 62, 150, 128, 38, 153, 37, 148, 39, 24, 118, 102, 184, 49, 111, 48, 87, 76, 81, 40, 55, 82, 70, 105, 66, 115, 14, 86, 88, 135, 168, 139, 56, 80, 93, 95, 165, 13, 4, 100, 29, 104, 11, 72, 116, 83, 112, 67, 186, 169, 8, 57, 44, 17, 164, 31, 96, 84, 2, 125, 59, 3, 6, 173, 149, 78, 27, 160, 156, 187, 34, 129, 154, 79, 52, 117, 110, 0, 7, 113, 137, 26, 47, 12, 178, 46, 136, 97, 15, 188, 101, 58, 35, 71, 32, 16, 109, 163, 134, 75, 68, 98, 132, 90, 124, 189, 121, 123, 170, 158, 159, 77, 108, 63, 180, 36, 74, 127, 21, 146, 147, 54, 155, 10, 144, 130, 60, 1, 141, 23, 177, 133, 50, 126, 167, 151, 161, 191, 91, 114, 162, 30, 181, 182, 9, 94, 69, 176, 65, 142, 152, 175, 73, 140, 41, 179, 172, 145, 64, 19, 138, 131, 166, 33, 107, 185, 106, 122, 120, 92, 45, 143, 61, 89 are interleaved with the sequence of

[0568] FIG. 151 is a diagram showing a 41st example of a GW pattern for an LDPC code with a code length N of 69120 bits.

[0569] According to the GW pattern of FIG. 151, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of the bit group 111, 33, 21, 133, 18, 30, 73, 139, 125, 35, 77, 105, 122, 91, 41, 86, 11, 8, 55, 71, 151, 107, 45, 12, 168, 51, 50, 59, 7, 132, 144, 16, 190, 31, 108, 89, 124, 110, 94, 67, 159, 46, 140, 87, 54, 142, 185, 85, 84, 120, 178, 101, 180, 20, 174, 47, 28, 145, 70, 24, 131, 4, 83, 56, 79, 37, 27, 109, 92, 52, 96, 177, 141, 188, 155, 38, 156, 169, 136, 81, 137, 112, 95, 93, 106, 149, 138, 15, 39, 170, 146, 103, 184, 43, 5, 9, 189, 34, 19, 63, 90, 36, 23, 78, 100, 75, 162, 42, 161, 119, 64, 65, 152, 62, 173, 104, 88, 118, 48, 44, 40, 60, 102, 61, 74, 99, 53, 10, 6, 172, 186, 163, 134, 14, 148, 3, 26, 1, 157, 150, 25, 123, 115, 116, 57, 175, 127, 82, 117, 114, 160, 164, 153, 176, 76, 13, 181, 68, 128, 0, 183, 49, 22, 166, 17, 191, 135, 165, 72, 158, 130, 154, 167, 66, 2, 147, 69, 58, 98, 97, 143, 32, 29, 179, 113, 80, 182, 129, 126, 171, 121, 187 in the following order.

[0570] FIG. 152 is a diagram showing a 42nd example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0571] According to the GW pattern of FIG. 152, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 148, 32, 94, 31, 146, 15, 41, 7, 79, 58, 52, 167, 154, 4, 161, 38, 64, 127, 131, 78, 34, 125, 171, 173, 133, 122, 50, 95, 129, 57, 71, 37, 137, 69, 82, 107, 26, 10, 140, 156, 47, 178, 163, 117, 139, 174, 143, 138, 111, 11, 166, 43, 141, 114, 45, 39, 177, 103, 96, 123, 63, 23, 18, 20, 187, 27, 66, 130, 65, 142, 5, 135, 113, 90, 121, 54, 190, 134, 153, 147, 92, 157, 3, 97, 102, 106, 172, 91, 46, 89, 56, 184, 115, 99, 62, 93, 100, 88, 152, 109, 124, 182, 70, 74, 159, 165, 60, 183, 185, 164, 175, 108, 176, 2, 118, 72, 151, 0, 51, 33, 28, 80, 14, 128, 179, 84, 77, 42, 55, 160, 119, 110, 86, 22, 101, 13, 170, 36, 104, 189, 191, 169, 112, 12, 29, 30, 162, 136, 24, 68, 9, 81, 120, 145, 180, 144, 73, 21, 44, 1, 16, 67, 19, 158, 188, 181, 61, 35, 8, 53, 168, 150, 105, 59, 87, 6, 126, 75, 85, 17, 83, 98, 48, 132, 40, 76, 49, 25, 149, 186, 155, 116 are interleaved with the sequence of

[0572] FIG. 153 shows the 43rd example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0573] According to the GW pattern of FIG. 153, the arrangement of bit groups 0 to 191 of the 69120-bit LDPC code is interleaved with the arrangement of the bit group 161, 38, 41, 138, 20, 24, 14, 35, 32, 179, 68, 97, 94, 142, 43, 53, 22, 28, 44, 81, 148, 187, 169, 89, 115, 144, 75, 40, 31, 152, 30, 124, 80, 135, 160, 8, 129, 147, 60, 112, 171, 0, 133, 100, 156, 180, 77, 110, 151, 69, 95, 25, 117, 127, 154, 64, 146, 143, 29, 168, 177, 183, 126, 10, 26, 3, 50, 92, 164, 163, 11, 109, 21, 37, 84, 122, 49, 71, 52, 15, 88, 149, 86, 61, 90, 155, 162, 9, 153, 67, 119, 189, 82, 131, 190, 4, 46, 118, 47, 178, 59, 150, 186, 123, 18, 79, 57, 120, 70, 62, 137, 23, 185, 167, 175, 16, 134, 73, 139, 166, 55, 165, 116, 76, 99, 182, 78, 93, 141, 33, 176, 101, 130, 58, 12, 17, 132, 45, 102, 7, 19, 145, 54, 91, 113, 36, 27, 114, 174, 39, 83, 140, 191, 74, 56, 87, 48, 158, 121, 159, 136, 63, 181, 34, 173, 103, 42, 125, 104, 107, 96, 65, 1, 13, 157, 184, 170, 105, 188, 108, 6, 2, 98, 72, 5, 66, 128, 106, 172, 111, 85, 51 in the following order.

[0574] FIG. 154 is a diagram showing a 44th example of a GW pattern for an LDPC code with a code length N of 69,120 bits.

[0575] According to the GW pattern of FIG. 154, the arrangement of bit groups 0 to 191 of the 69,120-bit LDPC code is the bit group 57, 73, 173, 63, 179, 186, 148, 181, 160, 163, 4, 109, 137, 99, 118, 15, 5, 115, 44, 153, 185, 40, 12, 169, 2, 37, 188, 97, 65, 67, 117, 90, 66, 135, 154, 159, 146, 86, 61, 182, 59, 83, 91, 175, 58, 138, 93, 43, 98, 22, 152, 96, 45, 120, 180, 10, 116, 170, 162, 68, 3, 13, 41, 131, 21, 172, 55, 24, 1, 79, 106, 189, 52, 184, 112, 53, 136, 166, 29, 62, 107, 128, 71, 111, 187, 161, 101, 49, 155, 28, 94, 70, 48, 0, 33, 157, 151, 25, 89, 88, 114, 134, 75, 87, 142, 6, 27, 64, 69, 19, 150, 38, 35, 130, 127, 76, 102, 123, 158, 129, 133, 110, 141, 95, 7, 126, 85, 108, 174, 190, 165, 156, 171, 54, 17, 121, 103, 14, 36, 105, 82, 8, 178, 51, 23, 84, 167, 30, 100, 42, 72, 149, 92, 77, 104, 183, 39, 125, 80, 143, 144, 56, 119, 16, 132, 139, 191, 50, 164, 122, 46, 140, 31, 176, 60, 26, 32, 11, 177, 124, 74, 145, 20, 34, 18, 81, 168, 9, 78, 113, 147, 47 are interleaved with the order of

[0576] FIG. 155 is a diagram showing the 45th example of the GW pattern for an LDPC code with a code length N of 69,120 bits.

[0577] According to the GW pattern of FIG. 155, the arrangement of bit groups 0 to 191 of a 69120-bit LDPC code is interleaved with the arrangement of the bit group 89, 123, 13, 47, 178, 159, 1, 190, 53, 12, 57, 109, 115, 19, 36, 143, 82, 96, 163, 66, 154, 173, 49, 65, 131, 2, 78, 15, 155, 90, 38, 130, 63, 188, 138, 184, 166, 102, 139, 28, 50, 186, 17, 20, 112, 41, 11, 8, 59, 79, 45, 162, 146, 40, 43, 129, 119, 18, 157, 37, 126, 124, 110, 191, 85, 165, 60, 142, 135, 74, 187, 179, 141, 164, 34, 69, 26, 33, 113, 120, 95, 169, 30, 0, 175, 70, 91, 104, 140, 25, 132, 23, 105, 158, 171, 6, 121, 56, 22, 127, 54, 68, 107, 133, 84, 81, 150, 99, 73, 185, 67, 29, 151, 87, 10, 167, 148, 72, 147, 5, 31, 125, 145, 4, 52, 44, 134, 83, 46, 75, 152, 62, 7, 86, 172, 180, 111, 61, 9, 58, 14, 116, 92, 170, 93, 77, 88, 42, 21, 106, 97, 144, 182, 108, 55, 94, 122, 114, 153, 64, 24, 80, 117, 3, 177, 149, 76, 128, 136, 39, 181, 160, 103, 174, 156, 27, 183, 16, 137, 101, 161, 176, 35, 118, 98, 168, 48, 100, 71, 189, 32, 51 as follows.

[0578] The first to 45th examples of the GW pattern for the LDPC code with a code length N of 69,120 bits described above can be applied to any combination of an LDPC code with a code length N of 69,120 bits, any coding rate r, any modulation method, and any constellation.

[0579] However, for group-wise interleaving, by setting the applicable GW pattern for each combination of the code length N of the LDPC code, the coding rate r of the LDPC code, the modulation method, and the constellation, the error rate can be further improved for each combination.

[0580] The GW pattern in FIG. 111 can achieve a particularly good error rate, for example, by being applied to a combination of an LDPC code with N = 69,120 and r = 2 / 16 (an LDPC code with a code length N of 69,120 and a coding rate r of 2 / 16 corresponding to the initial check matrix table in FIG. 30), QPSK, and QPSK-UC in FIGS. 96 and 97.

[0581] The GW pattern in FIG. 112 can achieve a particularly good error rate, for example, by being applied to a combination of an LDPC code with N = 69,120 and r = 3 / 16 in FIGS. 31 and 32, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0582] The GW pattern in FIG. 113 can achieve a particularly good error rate, for example, by being applied to a combination of an LDPC code with N = 69,120 and r = 4 / 16 in FIG. 33, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0583] The GW pattern in FIG. 114 can achieve a particularly good error rate, for example, by being applied to a combination of an LDPC code with N = 69,120 and r = 5 / 16 in FIGS. 34 and 35, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0584] The GW pattern of FIG. 115 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 6 / 16 in FIGS. 36 and 37, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0585] The GW pattern of FIG. 116 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 7 / 16 in FIGS. 38 and 39, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0586] The GW pattern of FIG. 117 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 8 / 16 in FIGS. 46 and 47, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0587] The GW pattern of FIG. 118 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 9 / 16 in FIGS. 50 to 52, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0588] The GW pattern of FIG. 119 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 10 / 16 in FIGS. 56 to 58, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0589] The GW pattern of FIG. 120 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 11 / 16 in FIGS. 62 to 64, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0590] The GW pattern of FIG. 121 can achieve particularly good error rates, for example, by being applied to the combination of the LDPC code of N = 69120, r = 12 / 16 in FIGS. 68 to 70, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0591] The GW pattern of FIG. 122 can achieve particularly good error rates, for example, by being applied to the combination of the LDPC code of N = 69120, r = 13 / 16 in FIGS. 74 to 76, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0592] The GW pattern of FIG. 123 can achieve particularly good error rates, for example, by being applied to the combination of the LDPC code of N = 69120, r = 14 / 16 in FIGS. 80 to 82, QPSK, and QPSK-UC in FIGS. 96 and 97.

[0593] The GW pattern of FIG. 124 can achieve particularly good error rates, for example, by being applied to the combination of the LDPC code of N = 69120, r = 3 / 16 in FIGS. 31 and 32, 16QAM, and 16QAM-UC in FIGS. 98 and 99.

[0594] The GW pattern of FIG. 125 can achieve particularly good error rates, for example, by being applied to the combination of the LDPC code of N = 69120, r = 5 / 16 in FIGS. 34 and 35, 16QAM, and 16QAM-UC in FIGS. 98 and 99.

[0595] The GW pattern of FIG. 126 can achieve particularly good error rates, for example, by being applied to the combination of the LDPC code of N = 69120, r = 7 / 16 in FIGS. 38 and 39, 16QAM, and 16QAM-UC in FIGS. 98 and 99.

[0596] The GW pattern of FIG. 127 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 9 / 16 in FIGS. 50 to 52, 16QAM, and 16QAM-UC in FIGS. 98 and 99.

[0597] The GW pattern of FIG. 128 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 11 / 16 in FIGS. 62 to 64, 16QAM, and 16QAM-UC in FIGS. 98 and 99.

[0598] The GW pattern of FIG. 129 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 13 / 16 in FIGS. 74 to 76, 16QAM, and 16QAM-UC in FIGS. 98 and 99.

[0599] The GW pattern of FIG. 130 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 2 / 16 in FIG. 30, 64QAM, and 64QAM-UC in FIGS. 100 and 101.

[0600] The GW pattern of FIG. 131 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 4 / 16 in FIG. 33, 64QAM, and 64QAM-UC in FIGS. 100 and 101.

[0601] The GW pattern of FIG. 132 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 6 / 16 in FIGS. 36 and 37, 64QAM, and 64QAM-UC in FIGS. 100 and 101.

[0602] The GW pattern of FIG. 133 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120, r = 8 / 16 in FIGS. 46 and 47, 64QAM, and 64QAM-UC in FIGS. 100 and 101.

[0603] The GW pattern of FIG. 134 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120, r = 10 / 16 in FIGS. 56 to 58, 64QAM, and 64QAM-UC in FIGS. 100 and 101.

[0604] The GW pattern of FIG. 135 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120, r = 12 / 16 in FIGS. 68 to 70, 64QAM, and 64QAM-UC in FIGS. 100 and 101.

[0605] The GW pattern of FIG. 136 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120, r = 14 / 16 in FIGS. 80 to 82, 64QAM, and 64QAM-UC in FIGS. 100 and 101.

[0606] The GW pattern of FIG. 137 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120, r = 3 / 16 in FIGS. 31 and 32, 256QAM, and 256QAM-UC in FIGS. 102 and 103.

[0607] The GW pattern of FIG. 138 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120, r = 5 / 16 in FIGS. 34 and 35, 256QAM, and 256QAM-UC in FIGS. 102 and 103.

[0608] The GW pattern of FIG. 139 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 7 / 16 in FIGS. 38 and 39, 256QAM, and 256QAM-UC in FIGS. 102 and 103.

[0609] The GW pattern of FIG. 140 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 9 / 16 in FIGS. 50 to 52, 256QAM, and 256QAM-UC in FIGS. 102 and 103.

[0610] The GW pattern of FIG. 141 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 11 / 16 in FIGS. 62 to 64, 256QAM, and 256QAM-UC in FIGS. 102 and 103.

[0611] The GW pattern of FIG. 142 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 13 / 16 in FIGS. 74 to 76, 256QAM, and 256QAM-UC in FIGS. 102 and 103.

[0612] The GW pattern of FIG. 143 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 2 / 16 in FIG. 30, 1024QAM, and 1024QAM-UC in FIGS. 104 and 105.

[0613] The GW pattern of FIG. 144 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 4 / 16 in FIG. 33, 1024QAM, and 1024QAM-UC in FIGS. 104 and 105.

[0614] The GW pattern of FIG. 145 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 6 / 16 in FIGS. 36 and 37, 1024QAM, and 1024QAM-UC in FIGS. 104 and 105.

[0615] The GW pattern of FIG. 146 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 8 / 16 in FIGS. 46 and 47, 1024QAM, and 1024QAM-UC in FIGS. 104 and 105.

[0616] The GW pattern of FIG. 147 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 10 / 16 in FIGS. 56 to 58, 1024QAM, and 1024QAM-UC in FIGS. 104 and 105.

[0617] The GW pattern of FIG. 148 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 12 / 16 in FIGS. 68 to 70, 1024QAM, and 1024QAM-UC in FIGS. 104 and 105.

[0618] The GW pattern of FIG. 149 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 14 / 16 in FIGS. 80 to 82, 1024QAM, and 1024QAM-UC in FIGS. 104 and 105.

[0619] The GW pattern of FIG. 150 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code with N = 69120 and r = 3 / 16 in FIGS. 31 and 32, 4096QAM, and 4096QAM-UC in FIGS. 106 and 107.

[0620] The GW pattern of FIG. 151 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 5 / 16 in FIGS. 34 and 35, 4096QAM, and 4096QAM-UC in FIGS. 106 and 107.

[0621] The GW pattern of FIG. 152 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 7 / 16 in FIGS. 38 and 39, 4096QAM, and 4096QAM-UC in FIGS. 106 and 107.

[0622] The GW pattern of FIG. 153 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 9 / 16 in FIGS. 50 to 52, 4096QAM, and 4096QAM-UC in FIGS. 106 and 107.

[0623] The GW pattern of FIG. 154 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 11 / 16 in FIGS. 62 to 64, 4096QAM, and 4096QAM-UC in FIGS. 106 and 107.

[0624] The GW pattern of FIG. 155 can achieve particularly good error rates, for example, by applying it to the combination of the LDPC code of N = 69120, r = 13 / 16 in FIGS. 74 to 76, 4096QAM, and 4096QAM-UC in FIGS. 106 and 107.

[0625] <Configuration Example of Receiver 12>

[0626] FIG. 156 is a block diagram showing a configuration example of the receiver 12 in FIG. 7.

[0627] The OFDM processing unit (OFDM operation) 151 receives the OFDM signal from the transmission device 11 (Fig. 7) and performs signal processing on the OFDM signal. The data obtained by the OFDM processing unit 151 performing signal processing is supplied to the frame management unit (Frame Management) 152.

[0628] The frame management unit 152 performs processing (frame interpretation) on the frame composed of the data supplied from the OFDM processing unit 151, and supplies the signal of the target data and the signal of the control data obtained as a result to the frequency deinterleavers (Frequency Deinterleaver) 161 and 153, respectively.

[0629] The frequency deinterleaver 153 performs frequency deinterleaving on the data from the frame management unit 152 in symbol units and supplies it to the demapper (Demapper) 154.

[0630] The demapper 154 demaps (decodes the signal point arrangement) and quadrature demodulates the data (data on the ...

Claims

1. A coding unit that performs LDPC coding based on a check matrix of an LDPC code having a code length N of 69120 bits and a coding rate r of 2 / 16; A group-wise interleaving unit that performs group-wise interleaving to interleave the LDPC code in units of 360-bit bit groups; a mapping unit that maps the LDPC code to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM in units of 10 bits; A transmitting device comprising: a receiving device including a group-wise deinterleaving unit that returns the arrangement of the LDPC codes after the group-wise interleaving, which is obtained from the data transmitted from the transmitting device, to the original arrangement; Equipped with In the group-wise interleaving, the (i+1)th bit group from the beginning of the LDPC code is defined as bit group i, and the sequence of bit groups 0 to 191 of the 69120-bit LDPC code is defined as bit group 178, 39, 54, 68, 122, 20, 86, 137, 156, 55, 52, 72, 130, 152, 147, 12, 69, 48, 107, 44, 88, 23, 181, 174, 124, 81, 59, 93, 22, 46, 82, 110, 3, 99, 75, 36, 38, 119, 131, 51, 115, 78, 84, 33, 163, 11, 2, 188, 161, 34, 89, 50, 8, 90, 109, 136, 77, 103, 67, 41, 149, 176, 134, 189, 159, 184, 153, 53, 129, 63, 160, 139, 150, 169, 148, 127, 25, 175, 142, 98, 56, 144, 102, 94, 101, 85, 132, 76, 5, 177, 0, 128, 45, 162, 92, 62, 133, 30, 17, 9, 61, 70, 154, 4, 146, 24, 135, 104, 13, 185, 79, 138, 31, 112, 1, 49, 113, 106, 100, 65, 10, 83, 73, 26, 58, 114, 66, 126, 117, 96, 186, 14, 40, 164, 158, 118, 29, 121, 151, 168, 183, 179, 16, 105, 125, 190, 116, 165, 80, 64, 170, 140, 171, 173, 97, 60, 43, 123, 71, 182, 167, 95, 145, 141, 187, 166, 87, 143, 15, 74, 111, 157, 32, 172, 18, 57, 35, 191, 27, 47, 21, 6, 19, 155, 42, 120, 180, 37, 28, 91, 108, 7 Interleaved in the sequence of The check matrix is A matrix A in the upper left corner of the check matrix, which has M1 rows and K columns and is represented by a predetermined value M1 and an information length K=N×r of the LDPC code; A B matrix having a step structure adjacent to the right of the A matrix, the B matrix having M1 rows and M1 columns; A Z matrix, which is a zero matrix adjacent to the right of the B matrix and has M1 rows and N-K-M1 columns; A matrix C having N-M1 rows and K+M1 columns adjacent below the matrix A and the matrix B; A matrix D, which is an identity matrix adjacent to the right of the matrix C, and has N-K-M1 rows and N-K-M1 columns. Including, The predetermined value M1 is 1800, The A matrix and the C matrix are represented by a check matrix initial value table, The parity check matrix initial value table is a table representing positions of elements of 1 in the A matrix and the C matrix for every 360 columns, 1617 1754 1768 2501 6874 12486 12872 16244 18612 19698 21649 30954 33221 33723 34495 37587 38542 41510 42268 52159 59780 206 610 991 2665 4994 5681 12371 17343 25547 26291 26678 27791 27828 32437 33153 35429 39943 45246 46732 53342 60451 119 682 963 3339 6794 7021 7295 8856 8942 10842 11318 14050 14474 27281 28637 29963 37861 42536 43865 48803 59969 175 201 355 5418 7990 10567 10642 12987 16685 18463 21861 24307 25274 27515 39631 40166 43058 47429 55512 55519 59426 117 839 1043 1960 6896 19146 24022 26586 29342 29906 33129 33647 33883 34113 34550 38720 40247 45651 51156 53053 56614 135 236 257 7505 9412 12642 19752 20201 26010 28967 31146 37156 44685 45667 50066 51283 54365 55475 56501 58763 59121 109 840 1573 5523 19968 23924 24644 27064 29410 31276 31526 32173 38175 43570 43722 46655 46660 48353 54025 57319 59818 522 1236 1573 6563 11625 13846 17570 19547 22579 22584 29338 30497 33124 33152 35407 36364 37726 41426 53800 57130 504 1330 1481 13809 15761 20050 26339 27418 29630 32073 33762 34354 36966 43315 47773 47998 48824 50535 53437 55345 348 1244 1492 9626 9655 15638 22727 22971 28357 28841 31523 37543 41100 42372 48983 50354 51434 54574 55031 58193 742 1223 1459 20477 21731 23163 23587 30829 31144 32186 32235 32593 34130 40829 42217 42294 42753 44058 49940 51993 841 860 1534 5878 7083 7113 9658 10508 12871 12964 14023 21055 22680 23927 32701 35168 40986 42139 50708 55350 657 1018 1690 6454 7645 7698 8657 9615 16462 18030 19850 19857 33265 33552 42208 44424 48965 52762 55439 58299 14 511 1376 2586 6797 9409 9599 10784 13076 18509 27363 27667 30262 34043 37043 38143 40246 53811 58872 59250 315 883 1487 2067 7537 8749 10785 11820 15702 20232 22850 23540 30247 41182 44884 50601 52140 55970 57879 58514 256 1442 1534 2342 9734 10789 15334 15356 20334 20433 22923 23521 29391 30553 35406 35643 35701 37968 39541 58097 260 1238 1557 14167 15271 18046 20588 23444 25820 26660 30619 31625 33258 38554 40401 46471 53589 54904 56455 60016 591 885 1463 3411 14043 17083 17372 23029 23365 24691 25527 26389 28621 29999 40343 40359 40394 45685 46209 54887 1119 1411 1664 7879 17732 27000 28506 32237 32445 34100 34926 36470 42848 43126 44117 48780 49519 49592 51901 56580 147 1333 1560 6045 11526 14867 15647 19496 26626 27600 28044 30446 35920 37523 42907 42974 46452 52480 57061 60152 304 591 680 5557 6948 13550 19689 19697 22417 23237 25813 31836 32736 36321 36493 36671 46756 53311 59230 59248 586 777 1018 2393 2817 4057 8068 10632 12430 13193 16433 17344 24526 24902 27693 39301 39776 42300 45215 52149 684 1425 1732 2436 4279 7375 8493 10023 14908 20703 25656 25757 27251 27316 33211 35741 38872 42908 55079 58753 962 981 1773 2814 3799 6243 8163 12655 21226 31370 32506 35372 36697 47037 49095 55400 57506 58743 59678 60422 6229 6484 8795 8981 13576 28622 35526 36922 37284 42155 43443 44080 44446 46649 50824 52987 59033 2742 5176 10231 10336 16729 17273 18474 25875 28227 34891 39826 42595 48600 52542 53023 53372 57331 3512 4163 4725 8375 8585 19795 22844 28615 28649 29481 41484 41657 53255 54222 54229 57258 57647 3358 5239 9423 10858 15636 17937 20678 22427 31220 37069 38770 42079 47256 52442 55152 56964 59169 2243 10090 12309 15437 19426 23065 24872 36192 36336 36949 41387 49915 50155 54338 54422 56561 57984 is Transmitting and receiving system.

2. A coding step of performing LDPC coding based on a check matrix of an LDPC code having a code length N of 69120 bits and a coding rate r of 2 / 16; a group-wise interleaving step of performing group-wise interleaving on the LDPC code in units of 360-bit bit groups; a mapping step of mapping the LDPC code to any one of 1024 signal points of UC (Uniform Constellation) of 1024QAM in units of 10 bits; A group-wise deinterleaving step of returning the arrangement of the LDPC codes after the group-wise interleaving obtained from the data after the mapping to the original arrangement; Equipped with In the group-wise interleaving, the (i+1)th bit group from the beginning of the LDPC code is defined as bit group i, and the sequence of bit groups 0 to 191 of the 69120-bit LDPC code is defined as bit group 178, 39, 54, 68, 122, 20, 86, 137, 156, 55, 52, 72, 130, 152, 147, 12, 69, 48, 107, 44, 88, 23, 181, 174, 124, 81, 59, 93, 22, 46, 82, 110, 3, 99, 75, 36, 38, 119, 131, 51, 115, 78, 84, 33, 163, 11, 2, 188, 161, 34, 89, 50, 8, 90, 109, 136, 77, 103, 67, 41, 149, 176, 134, 189, 159, 184, 153, 53, 129, 63, 160, 139, 150, 169, 148, 127, 25, 175, 142, 98, 56, 144, 102, 94, 101, 85, 132, 76, 5, 177, 0, 128, 45, 162, 92, 62, 133, 30, 17, 9, 61, 70, 154, 4, 146, 24, 135, 104, 13, 185, 79, 138, 31, 112, 1, 49, 113, 106, 100, 65, 10, 83, 73, 26, 58, 114, 66, 126, 117, 96, 186, 14, 40, 164, 158, 118, 29, 121, 151, 168, 183, 179, 16, 105, 125, 190, 116, 165, 80, 64, 170, 140, 171, 173, 97, 60, 43, 123, 71, 182, 167, 95, 145, 141, 187, 166, 87, 143, 15, 74, 111, 157, 32, 172, 18, 57, 35, 191, 27, 47, 21, 6, 19, 155, 42, 120, 180, 37, 28, 91, 108, 7 Interleaved in the sequence of The check matrix is A matrix A in the upper left corner of the check matrix, which has M1 rows and K columns and is represented by a predetermined value M1 and an information length K=N×r of the LDPC code; A B matrix having a step structure adjacent to the right of the A matrix, the B matrix having M1 rows and M1 columns; A Z matrix, which is a zero matrix adjacent to the right of the B matrix and has M1 rows and N-K-M1 columns; A matrix C having N-M1 rows and K+M1 columns adjacent below the matrix A and the matrix B; A matrix D, which is an identity matrix adjacent to the right of the matrix C, and has N-K-M1 rows and N-K-M1 columns. Including, The predetermined value M1 is 1800, The A matrix and the C matrix are represented by a check matrix initial value table, The parity check matrix initial value table is a table representing positions of elements of 1 in the A matrix and the C matrix for every 360 columns, 1617 1754 1768 2501 6874 12486 12872 16244 18612 19698 21649 30954 33221 33723 34495 37587 38542 41510 42268 52159 59780 206 610 991 2665 4994 5681 12371 17343 25547 26291 26678 27791 27828 32437 33153 35429 39943 45246 46732 53342 60451 119 682 963 3339 6794 7021 7295 8856 8942 10842 11318 14050 14474 27281 28637 29963 37861 42536 43865 48803 59969 175 201 355 5418 7990 10567 10642 12987 16685 18463 21861 24307 25274 27515 39631 40166 43058 47429 55512 55519 59426 117 839 1043 1960 6896 19146 24022 26586 29342 29906 33129 33647 33883 34113 34550 38720 40247 45651 51156 53053 56614 135 236 257 7505 9412 12642 19752 20201 26010 28967 31146 37156 44685 45667 50066 51283 54365 55475 56501 58763 59121 109 840 1573 5523 19968 23924 24644 27064 29410 31276 31526 32173 38175 43570 43722 46655 46660 48353 54025 57319 59818 522 1236 1573 6563 11625 13846 17570 19547 22579 22584 29338 30497 33124 33152 35407 36364 37726 41426 53800 57130 504 1330 1481 13809 15761 20050 26339 27418 29630 32073 33762 34354 36966 43315 47773 47998 48824 50535 53437 55345 348 1244 1492 9626 9655 15638 22727 22971 28357 28841 31523 37543 41100 42372 48983 50354 51434 54574 55031 58193 742 1223 1459 20477 21731 23163 23587 30829 31144 32186 32235 32593 34130 40829 42217 42294 42753 44058 49940 51993 841 860 1534 5878 7083 7113 9658 10508 12871 12964 14023 21055 22680 23927 32701 35168 40986 42139 50708 55350 657 1018 1690 6454 7645 7698 8657 9615 16462 18030 19850 19857 33265 33552 42208 44424 48965 52762 55439 58299 14 511 1376 2586 6797 9409 9599 10784 13076 18509 27363 27667 30262 34043 37043 38143 40246 53811 58872 59250 315 883 1487 2067 7537 8749 10785 11820 15702 20232 22850 23540 30247 41182 44884 50601 52140 55970 57879 58514 256 1442 1534 2342 9734 10789 15334 15356 20334 20433 22923 23521 29391 30553 35406 35643 35701 37968 39541 58097 260 1238 1557 14167 15271 18046 20588 23444 25820 26660 30619 31625 33258 38554 40401 46471 53589 54904 56455 60016 591 885 1463 3411 14043 17083 17372 23029 23365 24691 25527 26389 28621 29999 40343 40359 40394 45685 46209 54887 1119 1411 1664 7879 17732 27000 28506 32237 32445 34100 34926 36470 42848 43126 44117 48780 49519 49592 51901 56580 147 1333 1560 6045 11526 14867 15647 19496 26626 27600 28044 30446 35920 37523 42907 42974 46452 52480 57061 60152 304 591 680 5557 6948 13550 19689 19697 22417 23237 25813 31836 32736 36321 36493 36671 46756 53311 59230 59248 586 777 1018 2393 2817 4057 8068 10632 12430 13193 16433 17344 24526 24902 27693 39301 39776 42300 45215 52149 684 1425 1732 2436 4279 7375 8493 10023 14908 20703 25656 25757 27251 27316 33211 35741 38872 42908 55079 58753 962 981 1773 2814 3799 6243 8163 12655 21226 31370 32506 35372 36697 47037 49095 55400 57506 58743 59678 60422 6229 6484 8795 8981 13576 28622 35526 36922 37284 42155 43443 44080 44446 46649 50824 52987 59033 2742 5176 10231 10336 16729 17273 18474 25875 28227 34891 39826 42595 48600 52542 53023 53372 57331 3512 4163 4725 8375 8585 19795 22844 28615 28649 29481 41484 41657 53255 54222 54229 57258 57647 3358 5239 9423 10858 15636 17937 20678 22427 31220 37069 38770 42079 47256 52442 55152 56964 59169 2243 10090 12309 15437 19426 23065 24872 36192 36336 36949 41387 49915 50155 54338 54422 56561 57984 is Sending and receiving methods.

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