Title
Girth Analysis of Tanner's (3, 17)-Regular QC-LDPC Codes Based on Euclidean Division Algorithm.
Abstract
In this paper, the girth distribution of the Tanner's (3, 17)-regular quasi-cyclic LDPC (QC-LDPC) codes with code length 17p is determined, where p is a prime and p 1 (mod 51). By analyzing their cycle structure, five equivalent types of cycles with length not more than 10 are obtained. The existence of these five types of cycles is transmitted into polynomial equations in a 51st unit root of the prime field Fp. By using the Euclidean division algorithm to check the existence of solutions for such polynomial equations, the girth values of the Tanner's (3, 17)-regular QC-LDPC codes are obtained.
Year
DOI
Venue
2019
10.1109/ACCESS.2019.2929587
IEEE ACCESS
Keywords
DocType
Volume
Euclidean division algorithm,LDPC codes,quasi-cyclic (QC),girth,prime field
Journal
7
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Hengzhou Xu11212.24
Yake Duan200.34
Xiaoxiao Miao300.68
Hai Zhu48722.69