Publikationer
Searching for voltage graph-based LDPC tailbiting codes with large girth
Avdelning/ar:
Publiceringsår: 2012
Språk: Engelska
Sidor: 2265-2279
Publikation/Tidskrift/Serie: IEEE Transactions on Information Theory
Volym: 58
Nummer: 4
Fulltext:
Dokumenttyp: Artikel
Förlag: IEEE-Inst Electrical Electronics Engineers Inc
Sammanfattning
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.
Disputation
Nyckelord
- Technology and Engineering
- biadjacency matrix
- convolutional code
- girth
- LDPC code
- minimum distance
- tailbiting
- Tanner graph
Övrigt
Published
Yes
- Information Theory
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- ISSN: 0018-9448

