A construction method for Galois field-based QC-LDPC codes in optical communications

Huang Sheng; Jia Xueting; Tian Fangfang; Yuan Jianguo

doi:10.13756/j.gtxyj.2014.06.003

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A construction method for Galois field-based QC-LDPC codes in optical communications

- A construction method for Galois field-based QC-LDPC codes in optical communications
- Study on Optical communication Issue 6, Pages: 11-14(2014)
- 作者机构：
  
  重庆邮电大学通信与信息工程学院光纤通信技术重点实验室
- 作者简介：
- 基金信息：
- DOI：10.13756/j.gtxyj.2014.06.003
  CLC： TN929.1;TN911.22
- Published：2014，
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[1]黄胜,贾雪婷,田方方,袁建国.光通信中基于伽罗华域的QC-LDPC码构造方法[J].光通信研究,2014(06):11-14.

Huang Sheng, Jia Xueting, Tian Fangfang, et al. A construction method for Galois field-based QC-LDPC codes in optical communications. [J]. (6):11-14(2014)
[1]黄胜,贾雪婷,田方方,袁建国.光通信中基于伽罗华域的QC-LDPC码构造方法[J].光通信研究,2014(06):11-14. DOI： 10.13756/j.gtxyj.2014.06.003.

Huang Sheng, Jia Xueting, Tian Fangfang, et al. A construction method for Galois field-based QC-LDPC codes in optical communications. [J]. (6):11-14(2014) DOI： 10.13756/j.gtxyj.2014.06.003.

摘要

为了满足光通信系统对纠错码高码率、低误码率的要求

基于伽罗华域中域的特征提出了一种结构简单、易于编码并且可以有效避免四环的QC-LDPC（准循环低密度奇偶校验）码的新构造方法。并运用该方法构造了适用于光通信系统的FCQC-LDPC（基于域特征的QC-LDPC）（3969

3729）码。仿真结果表明

在误码率=10-7时

所构造的码率为0.937的FC-QCLDPC（3969

3729）码的NCG（净编码增益）比QC-LDPC（4288

4020）码提高了约0.15dB

比Linshu-QC-LDPC（3780

3542）码和经典的RS（255

239）码的NCG分别提高了约0.35和2.1dB。此外

所构造的码的性能与Mackay码的性能相当。因而其纠错性能更强

更适用于高速长距离光通信系统。

Abstract

In order to meet the requirements of optical communication systems for high code rate and low bit error rate of errorcorrection codes

we present a novel construction method for QC-LDPC codes on the basis of the nature of the field characteristics of Galois field

which is simple in structure

easy to be encoded and can effectively avoid the girth 4effectively

and use this method to construct an FC-QC-LDPC（3969

3729）code that is suitable for optical communication systems.The simulation results show that when the BER=10-7

the Net Coding Gain（NCG）of the constructed FC-QC-LDPC（3969

3729）code with the code rate of 0.937 is about 0.15 dB higher than that of the QC-LDPC（4288

4020）code

and about 0.35 dB and 2.1dB higher than those of the Linshu-QC-LDPC（3780

3542）code and the classical RS（255

239）code respectively.In addition

its performance is about the same as that of Mackay code but has stronger error-correcting performance.So it is more suitable for high-rate long-haul optical communication systems.

关键词

光通信系统伽罗华域QC-LDPC码净编码增益

Keywords

optical communication systemGalois fieldQC-LDPC codeNCG

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