Quick double-error correction BCH code decoder
A BCH decoder and decoder technology, applied in the direction of instrumentation, coding, code conversion, etc., can solve the problems of high hardware cost, and achieve the effects of fast throughput, simple control signals, and low hardware complexity
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[0034] Set in the finite field GF(2 5 ) The general form of the BCH code that can correct two errors is:
[0035] BCH (N, N-10)
[0036] Where N (10<N≤31) is the code length; N-10 is the information element length; code distance d=5.
[0037] Let r(x), c(x) and e(x) denote the received polynomial, code word (code word) polynomial and error polynomial, respectively. Then, between them:
[0038] r(x)=c(x)+e(x) (1)
[0039] Define the syndrome as S i (i=0, 1, 2, 3), then
[0040] S J = Σ i = 0 N - 1 r i ( α J ) l - - - ( 2 )
[0041]...
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