| 摘要 |
A decoding method and system for stochastic decoding of linear codes with the parity check matrix comprising elements of a Galois field is provided. Each encoded sample of a set of encoded samples is first scaled by a scaling factor proportional to a noise level of the set of encoded samples. Each of the scaled encoded samples is then converted into a corresponding probability. For each probability a corresponding probability message is the generated by encoding each probability as a sequence of symbols or bits. Each probability message is then provided to a respective variable node of a logic circuitry for stochastic decoding. The logic circuitry represents a factor graph of the parity check matrix of the linear code. Using the logic circuitry each probability message is passed through the factor graph by performing for each received symbol at the variable nodes the equality function, at the permutation nodes one of multiplication and division, and at the parity check nodes the parity check function, wherein each of the variable nodes provides an output symbol in dependence upon each received symbol.
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