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arXiv · 1401.7290

Non-Binary LDPC Codes with Large Alphabet Size

Koji Tazoe·Kenta Kasai·Kohichi Sakaniwa
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Abstract

We study LDPC codes for the channel with input ${x}\in \mathbb{F}_q^m$ and output ${y}={x}+{z}\in \mathbb{F}_q^m$. The aim of this paper is to evaluate decoding performance of $q^m$-ary non-binary LDPC codes for large $m$. We give density evolution and decoding performance evaluation for regular non-binary LDPC codes and spatially-coupled (SC) codes. We show the regular codes do not achieve the capacity of the channel while SC codes do.

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Koji Tazoe, Kenta Kasai, Kohichi Sakaniwa. 2014-01-28. Non-Binary LDPC Codes with Large Alphabet Size. https://arxiv.org/abs/1401.7290

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