Quick double-error correction BCH code decoder
A BCH decoder, decoder technology, applied in the direction of coding, instrumentation, code conversion, etc., can solve the problem of high hardware cost, achieve the effect of fast throughput, simple decoding structure, and low hardware complexity
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[0027] Set in the finite field GF(2 5 ) The general form of a BCH code that can correct two errors is:
[0028] BCH (N, N-10)
[0029] Where N (10<N≤31) is the code length; N-10 is the information element length; code distance d=5.
[0030] Let r(x), c(x) and e(x) denote the reception polynomial, code word (code word) polynomial and error polynomial, respectively. Then, between them:
[0031] r(x)=c(x)+e(x) (1)
[0032] Define the syndrome as S i (i=0, 1, 2, 3), then
[0033] S j = Σ i = 0 N - 1 r i ( α j ) i - - - ( 2 )
[0034] Suppose the position of the two errors is i 1 and i 2 ,make Define the...
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