Title :
Several Explicit Constructions for (3,L) QC-LDPC Codes with Girth at Least Eight
Author :
Guohua Zhang ; Rong Sun ; Xinmei Wang
Author_Institution :
State Key Lab. of Integrated Service Networks, Xidian Univ., Xi´an, China
Abstract :
Some explicit constructions for exponent matrices which correspond to Tanner graphs with girth at least eight are proposed. From these results, for any row weight of L>3, (3,L) quasi-cyclic LDPC codes with girth at least eight are constructed for any circulant permutation matrix (CPM) size P>L(L+mod(L,2))/2.
Keywords :
cyclic codes; graph theory; matrix algebra; parity check codes; (3,L) QC-LDPC codes; CPM size; Tanner graphs; circulant permutation matrix; explicit constructions; exponent matrices; girth at least eight; quasicyclic codes; Arrays; Computers; Equations; Parity check codes; Phase change materials; Sparse matrices; Sun; Circulant permutation matrix (CPM); girth; low-density parity-check (LDPC) codes; quasi-cyclic (QC);
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2013.070913.130966
