Hard-decision decoding scheme Codeword l KV (n) : 31 symbols. Message length (k) : 19 symbols. Error correction capability (t) : 6 symbols One symbol represents five bit. Uses GF (2 ^ 5) with primitive polynomial p (x) = x ^ x ^ 5 2 1 Ge nerator polynomial. g (x) = a ^ a ^ 15* 21 ^ 6 a X* X ^ a ^ 15 2* X ^ a ^ 3 25* X ^ a ^ 4 17 5* X ^ a ^ 18 ^ 6 X* a* X 30 ^ 7 ^ a ^ 20* X ^ a ^ 23 8* X ^ a ^ 9* 27 X 10 ^ a ^ 24* 11 ^ X ^ X 12. Note : a = alpha, primitive element in GF (2 ^ 5) and a ^ i is the root of g (x) for i = 19, 20, ..., 30. Uses Verilog description with synthesizab le RTL modeling. Consists of five main blocks : SC (Syndrome Computation), KES (Key Equation Solver). CSEE (Chien Search and Error Evaluator) Controller and FIFO Register.

25811256rs_decoder_31_19_6.tar

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