Title
Graph-theoretic construction of low-density parity-check codes
Abstract
This article presents a graph-theoretic method for constructing low-density parity-check (LDPC) codes from connected graphs without the requirement of large girth. This method is based on finding a set of paths in a connected graph, which satisfies the constraint that any two paths in the set are either disjoint or cross each other at one and only one vertex. Two trellis-based algorithms for finding these paths are devised. Good LDPC codes of practical lengths are constructed and they perform well with iterative decoding.
Year
DOI
Venue
2003
10.1109/LCOMM.2003.809990
IEEE Communications Letters
Keywords
Field
DocType
Parity check codes,Iterative algorithms,Iterative decoding,Sparse matrices,Null space
Factor graph,Discrete mathematics,Combinatorics,Concatenated error correction code,Low-density parity-check code,Computer science,Block code,Turbo code,Serial concatenated convolutional codes,Raptor code,Linear code
Journal
Volume
Issue
ISSN
7
4
1089-7798
Citations 
PageRank 
References 
3
0.56
4
Authors
3
Name
Order
Citations
PageRank
ivana djurdjevic1633.16
Shu Lin2575133.22
K. Abdel-Ghaffar323813.36