Decoding Reed-Muller Codes with Successive Factor-Graph Permutations
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This paper presents a novel successive factor-graph permutation (SFP) scheme that significantly improves the error-correction performance of Reed-Muller (RM) codes under successive-cancellation list (SCL) decoding. In particular, we perform maximum-likelihood decoding on the symmetry group of RM codes to carefully select a good factor-graph permutation on the fly. We further propose an SFP-aided fast SCL decoding that significantly reduces the decoding latency while preserving the error-correction performance of the code. The simulation results show that for the third and fourth order RM codes of length 256, the proposed decoder reduces up to 85% of the memory consumption, 78% of the decoding latency, and more than 99% of the computational complexity of the state-of-the-art recursive projection-aggregation decoder at the frame error rate of 10^-3.
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