Searching for voltage graph-based LDPC tailbiting codes with large girth
Author
Summary, in English
The relation between parity-check matrices of quasi-cyclic (QC) low-density parity-check (LDPC) codes and biadjacency matrices of bipartite graphs supports searching for powerful LDPC block codes. Using the principle of tailbiting, compact representations of bipartite graphs based on convolutional codes can be found.
Bounds on the girth and the minimum distance of LDPC block codes constructed in such a way are discussed. Algorithms for searching iteratively for LDPC block codes with large girth and for determining their minimum distance are presented. Constructions based on all-one matrices, Steiner Triple Systems, and QC block codes are introduced. Finally, new QC regular LDPC block codes with girth up to 24 are given.
Bounds on the girth and the minimum distance of LDPC block codes constructed in such a way are discussed. Algorithms for searching iteratively for LDPC block codes with large girth and for determining their minimum distance are presented. Constructions based on all-one matrices, Steiner Triple Systems, and QC block codes are introduced. Finally, new QC regular LDPC block codes with girth up to 24 are given.
Publishing year
2012
Language
English
Pages
2265-2279
Publication/Series
IEEE Transactions on Information Theory
Volume
58
Issue
4
Full text
- Available as PDF - 352 kB
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Document type
Journal article
Publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
Keywords
- biadjacency matrix
- convolutional code
- girth
- LDPC code
- minimum distance
- tailbiting
- Tanner graph
Status
Published
Research group
- Information Theory
ISBN/ISSN/Other
- ISSN: 0018-9448