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Construction of novel binary linear block code (72, 36, 14) quasi-cyclic code

A technology of linear block codes and quasi-cyclic codes, applied in cyclic codes, using linear codes for error correction/detection, using block codes for error correction/detection, etc., can solve the problem that the system performance is not optimal, and achieve anti-interference Enhanced capabilities, enhanced system performance, quality of service, and improved operating speed

Inactive Publication Date: 2019-11-05
JIANGXI UNIV OF SCI & TECH
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Problems solved by technology

However, in the existing known equivalent classes of more than 100 types of 36-order Hadamard matrices, only self-dual [72,36,8], [72,36,12] error-correcting codes are constructed, so the performance of the system is not optimal.

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  • Construction of novel binary linear block code (72, 36, 14) quasi-cyclic code
  • Construction of novel binary linear block code (72, 36, 14) quasi-cyclic code
  • Construction of novel binary linear block code (72, 36, 14) quasi-cyclic code

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Embodiment Construction

[0038] The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.

[0039] see figure 1 , (1) according to the following figure 1 The generating matrix G=(I|A) in can construct (72,36,14) linear block code;

[0040] (2) Since the generating matrix will be in a systematic form, it is easy to obtain the parity check matrix H=(A|I) of the code;

[0041] (3) According to the information m with a length of 36 to be transmitted, the length of the encoded code word c obtained by the generator matrix G is 72, c=m×G;

[0042] (4) Th...

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Abstract

The invention discloses a construction of a novel binary linear block code (72, 36, 14) quasi-cyclic code, and relates to the field of communications. An input information sequence is encoded by usinga linear block code matrix of (72, 36), and a coding sequence with the length of 72 is output; when the bit length of the input information is 36, the minimum code distance of the output coding sequence is 14, so that the minimum code distance of the quasi-cyclic code is increased by two bits on the original basis, the system performance after the linear block code is coded is improved, and great help is provided for the network service quality and the running speed in the field of communication networks.

Description

technical field [0001] The invention relates to the technical field of communication, in particular to the construction of a new binary linear block code (72, 36, 14) quasi-cyclic code. Background technique [0002] Human beings have entered the information society, and communication is essential. It is required that a communication system transmits messages must be reliable and fast. However, if the speed is required, the time occupied by each symbol will be shortened, the waveform will be narrowed, and the energy will be reduced, resulting in an increase in the possibility of errors after being interfered. The reliability of the message reduce. Most modern communication systems use linear block codes to encode short-length control information. For linear block codes with shorter code lengths, the size of the minimum code distance directly affects its error correction performance. The greater the minimum distance of the code group, the greater the minimum difference betw...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M13/15H04L1/00
CPCH03M13/15H04L1/0057
Inventor 巫光福陈颖王影军温卫
Owner JIANGXI UNIV OF SCI & TECH
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