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Transformation of a Parity-Check Matrix for a Message-Passing Algorithm over the BEC
Naoto KOBAYASHI Toshiyasu MATSUSHIMA Shigeichi HIRASAWA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2006/05/01
Online ISSN: 1745-1337
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
low-density parity-check code, sum-product algorithm, binary erasure channel, generalized parity-check matrix,
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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.