A method for composing optimum optical orthogonal code
An optical orthogonal code, the best technology, is applied in the field of optical orthogonal code construction in optical fiber CDMA system, and can solve the problem that the optical orthogonal code construction method is not given.
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[0037] In the actual optical CDMA system, the spreading gain of the spreading sequence (address code) is generally about 1000. Therefore, we only discussed the case where the code length v<1200. Of course, when the code length v≥1200, the construction method still apply.
[0038] Taking the construction of the optimal (661, 5, 1) optical orthogonal code as an example, how to obtain all its code words is illustrated. Based on attached image 3 In the data, when the code length v=661, code weight k=5, it can be seen that the number of codewords t=33, the original element α=2 of the finite field GF(541), the set B 0 The generator of all elements a=531=2 342 (mod 661), so that the B 0 {0, 531, 375, 164, 493}, using relation B i = 2 10i B 0 (1≤i≤33), 33 5-element sets can be obtained:
[0039] {0, 402, 620, 42, 489} {0, 506, 320, 43, 359} {0, 581, 485, 406, 100}
[0040] {0, 44, 229, 636, 606} {0, 108, 502, 179, 526} {0, 205, 451, 199, 570}
[0041] {0, 383, 446, 188, 17} ...
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