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

Emna Ben Yacoub

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arXiv · 2104.06328

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

Emna Ben Yacoub

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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 $\Fq$. 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.

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Emna Ben Yacoub. 2021-04-13. List Message Passing Decoding of Non-binary Low-Density Parity-Check Codes. https://arxiv.org/abs/2104.06328

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