Title
Smallest Size Of Circulant Matrix For Regular (3, L) And (4, L) Quasi-Cyclic Ldpc Codes With Girth 6
Abstract
In this paper, we investigate the smallest value of p for which a (J. L. p)-QC LDPC code with girth 6 exists for J = 3 and J = 4. For J = 3, we determine the smallest value of p for any L. For J = 4, we determine the smallest value of p for L <= 301. Furthermore we provide examples of specific constructions meeting these smallest values of p.
Year
DOI
Venue
2009
10.1587/transfun.E92.A.2891
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
LDPC codes, difference matrix, quasi-cyclic codes, regular LDPC codes, circulant matrix, lower bounds
Discrete mathematics,Combinatorics,Low-density parity-check code,Matrix difference equation,Circulant matrix,Mathematics
Journal
Volume
Issue
ISSN
E92A
11
1745-1337
Citations 
PageRank 
References 
2
0.41
2
Authors
4
Name
Order
Citations
PageRank
Manabu Hagiwara124024.06
Marc P. C. Fossorier21311106.18
Takashi Kitagawa3976.54
Hideki Imai461543.56