Girth Analysis of Tanner (5,11) Quasi-Cyclic LDPC Codes

被引：3
|
作者：
Xu, Hengzhou [1 ]
Zhu, Hai [1 ]
Xu, Mengmeng [1 ]
Zhang, Bo [1 ]
Zhu, Sifeng [2 ]
机构：
[1] Zhoukou Normal Univ, Sch Network Engn, Zhoukou, Peoples R China
[2] Zhoukou Normal Univ, Sch Comp Sci & Technol, Zhoukou, Peoples R China
来源：
2018 14TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS) | 2018年
关键词：
LDPC code; quasi-cyclic; girth; prime field;
D O I：
10.1109/CIS2018.2018.00053
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Motivated by the works on the girth of Tanner (3,5), (3,7), (3,11), and (5,7) quasi-cyclic (QC) LDPC codes, we in this paper study the girth of Tanner (5,11) QC-LDPC codes. We first analyze the cycles of Tanner (5,11) QC-LDPC codes, and obtain the conditions for the existence of cycles of length less than 12 in Tanner (5,11) QC-LDPC codes of length 11p where p is a prime number and p = 1 (mod 55). Notice that the condition is represented by the polynomial equations in a 55th root of unity of the prime field F-p,. By checking the existence of solutions for these equations over F-p, the girths of Tanner (5,11) QC-LDPC codes are obtained.
引用
收藏
页码：210 / 214
页数：5
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