Title :
High-rate, short length, (3,3s)-regular LDPC of girth 6 and 8
Author :
Sullivan, Michael E O ; Smarandache, Roxana
Author_Institution :
Dept. of Math. & Stat., San Diego State Univ., CA, USA
fDate :
29 June-4 July 2003
Abstract :
This paper presents a simple construction of a class of LDPC codes generalizing [BHS01] and gives necessary and sufficient, easy to implement, conditions for avoiding 2m cycles, m≥2. The parity check matrix is formed by square blocks, with each block a sum of three permutation matrices, chosen such that the block is (3,3) regular. The resulting codes have rate (s-1)/s.
Keywords :
matrix algebra; parity check codes; LDPC codes; parity check matrix; permutation matrices; Mathematics; Parity check codes; Statistics;
Conference_Titel :
Information Theory, 2003. Proceedings. IEEE International Symposium on
Print_ISBN :
0-7803-7728-1
DOI :
10.1109/ISIT.2003.1228073
