Transformation of a Parity-Check Matrix for a Message-Passing Algorithm over the BEC

Naoto KOBAYASHI  Toshiyasu MATSUSHIMA  Shigeichi HIRASAWA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.5   pp.1299-1306
Publication Date: 2006/05/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.5.1299
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
low-density parity-check code,  sum-product algorithm,  binary erasure channel,  generalized parity-check matrix,  

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Summary: 
We propose transformation of a parity-check matrix of any low-density parity-check code. A code with transformed parity-check matrix is an equivalent of a code with the original parity-check matrix. For the binary erasure channel, performance of a message-passing algorithm with a transformed parity-check matrix is better than that with the original matrix.