Journal
2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
Volume -, Issue -, Pages 1076-1081Publisher
IEEE
DOI: 10.1109/ISIT45174.2021.9517949
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A soft-input sequential decoder is proposed for RM codes of specific lengths and orders, achieving near maximum-likelihood decoding performance with reasonable complexity. This algorithm outperforms the recursive list decoder with similar computational complexity.
A soft-input sequential decoder for Reed-Muller (RM) codes of length 2(m) and order m-3 is proposed. The considered algorithm sequentially processes different permuted versions of the received vector using a decoder of an extended Hamming code, with permutations being selected on-the-fly from the RM codes' automorphism group based on soft information from a channel. It is shown that the proposed algorithm outperforms the recursive list decoder with similar computational complexity and achieves near maximum-likelihood decoding performance with reasonable computational complexity for RM codes of length 512 and 1024.
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