基于Reed-Solomon码的部分几何和LDPC码的构造

2019 IEEE International Symposium on Information Theory (ISIT) Pub Date : 2019-07-07 DOI:10.1109/ISIT.2019.8849677

Juane Li, Keke Liu, Shu Lin, K. Abdel-Ghaffar

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引用次数: 3

摘要

本文给出了一类基于素数RS码的部分几何的构造，并证明了基于素数Reed-Solomon码构造的LDPC码是有限几何LDPC码。在此基础上，提出了一种基于Reed-Solomon码的常规奇偶校验矩阵设计和构造非二进制拟循环LDPC码的新方法。仿真结果表明，所构造的非二进制LDPC码在加性高斯白信道上具有良好的性能。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Construction of Partial Geometries and LDPC codes based on Reed-Solomon Codes

This paper presents a construction of a class of partial geometries based on RS codes of prime lengths and shows that LDPC codes constructed based on Reed-Solomon codes of prime lengths are finite geometry LDPC codes. Furthermore, a new method for design and construction of nonbinary quasi-cyclic LDPC codes based on the conventional parity-check matrices of Reed-Solomon codes is presented. Simulation results show that the constructed nonbinary LDPC codes perform well over the additive white Gaussian channel.

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来源期刊

2019 IEEE International Symposium on Information Theory (ISIT)

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