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Decoding Reed-Muller Codes Using Minimum-Weight Parity Checks
[article]
2018
arXiv
pre-print
Reed-Muller (RM) codes exhibit good performance under maximum-likelihood (ML) decoding due to their highly-symmetric structure. In this paper, we explore the question of whether the code symmetry of RM codes can also be exploited to achieve near-ML performance in practice. The main idea is to apply iterative decoding to a highly-redundant parity-check (PC) matrix that contains only the minimum-weight dual codewords as rows. As examples, we consider the peeling decoder for the binary erasure
arXiv:1804.10319v1
fatcat:dx6o3qq4kbbubiyqibnfxlunp4