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IEICE TRANSACTIONS on Fundamentals

Average Coset Weight Distribution of Multi-Edge Type LDPC Code Ensembles

Kenta KASAI, Yuji SHIMOYAMA, Tomoharu SHIBUYA, Kohichi SAKANIWA

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Summary :

Multi-Edge type Low-Density Parity-Check codes (MET-LDPC codes) introduced by Richardson and Urbanke are generalized LDPC codes which can be seen as LDPC codes obtained by concatenating several standard (ir)regular LDPC codes. We prove in this paper that MET-LDPC code ensembles possess a certain symmetry with respect to their Average Coset Weight Distributions (ACWD). Using this symmetry, we drive ACWD of MET-LDPC code ensembles from ACWD of their constituent ensembles.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E89-A No.10 pp.2519-2525
Publication Date
2006/10/01
Publicized
Online ISSN
1745-1337
DOI
10.1093/ietfec/e89-a.10.2519
Type of Manuscript
Special Section PAPER (Special Section on Information Theory and Its Applications)
Category
Coding Theory

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