English

Non-Binary LDPC Codes with Large Alphabet Size

Information Theory 2014-01-29 v1 math.IT

Abstract

We study LDPC codes for the channel with input xFqm{x}\in \mathbb{F}_q^m and output y=x+zFqm{y}={x}+{z}\in \mathbb{F}_q^m. The aim of this paper is to evaluate decoding performance of qmq^m-ary non-binary LDPC codes for large mm. 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.

Keywords

Cite

@article{arxiv.1401.7290,
  title  = {Non-Binary LDPC Codes with Large Alphabet Size},
  author = {Koji Tazoe and Kenta Kasai and Kohichi Sakaniwa},
  journal= {arXiv preprint arXiv:1401.7290},
  year   = {2014}
}
R2 v1 2026-06-22T02:56:33.633Z