Blind identification method of circulation code grouping length
A block length and cyclic code technology, applied in cyclic codes, using block codes for error correction/detection, using linear codes for error correction/detection, etc., to achieve the effect of simple recognition process, wide application range, and suitable for hardware implementation
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Embodiment 1
[0040] A blind identification method of the block length of the cyclic code, when identifying the block length n of the (n, k) cyclic code whose message length is k, first determine the frame length of the cyclic code as f l , and in [3, f l ], take the factor i as the grouping length for grouping, and the cyclic code will get N after being grouped i codewords, and then in the obtained N i Determine and count the proportion of valid codewords among the codewords, and the i value with the largest proportion of valid codewords is identified as the packet length n.
[0041] The judgment rules for valid codewords are:
[0042] gcd[c 0 (x),c 1 (x),...,c i-1 (x)]≠1
[0043] where c 0 (x) is the code polynomial corresponding to code word c, c j (x), j=1, 2, ..., i-1, is the code polynomial corresponding to the code word obtained after the code word c is cyclically shifted to the left j times; gcd[] represents seeking the greatest common divisor operation.
[0044] In this pa...
Embodiment 2
[0072] Taking the most commonly used binary BCH codes and RS codes in cyclic codes as examples, verify the recognition algorithm described in 2.
[0073] 1. (15, 11) binary BCH code
[0074] Knowing that the frame length is 75, its factors are 3, 5, 15, and 25. Counting 100 codewords respectively, the effective codeword ratios obtained are: 0.58, 0.55, 1.00, and 0.58, respectively. Obviously the packet length is 15.
[0075] 2. (15, 11) RS code
[0076] Knowing that the frame length is 75, its factors are 3, 5, 15, and 25. Counting 100 codewords respectively, the effective codeword ratios obtained are: 0.22, 0.24, 1.00, and 0.35, respectively. Obviously the packet length is 15.
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