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arXiv:2104.06328 · IEEE International Symposium on Information Theory (ISIT)

List Message Passing Decoding of Non-binary Low-Density Parity-Check Codes

Emna Ben Yacoub

Published Jul 12, 2021• 1 citation
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Abstract

A decoding algorithm for$q$-ary low-density parity-check codes over the$q$-ary symmetric channel is introduced. The exchanged messages are lists of symbols from$\mathbb{F}_{q}$. A density evolution analysis for maximum list sizes 1 and 2 is developed. Thresholds for selected regular low-density parity-check code ensembles are computed showing gains with respect to a similar algorithm in the literature. Finite-length simulation results confirm the asymptotic analysis.

DOI
10.1109/isit45174.2021.9518213

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