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.
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Naoto KOBAYASHI, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, "Transformation of a Parity-Check Matrix for a Message-Passing Algorithm over the BEC" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 5, pp. 1299-1306, May 2006, doi: 10.1093/ietfec/e89-a.5.1299.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.5.1299/_p
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@ARTICLE{e89-a_5_1299,
author={Naoto KOBAYASHI, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Transformation of a Parity-Check Matrix for a Message-Passing Algorithm over the BEC},
year={2006},
volume={E89-A},
number={5},
pages={1299-1306},
abstract={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.},
keywords={},
doi={10.1093/ietfec/e89-a.5.1299},
ISSN={1745-1337},
month={May},}
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TY - JOUR
TI - Transformation of a Parity-Check Matrix for a Message-Passing Algorithm over the BEC
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1299
EP - 1306
AU - Naoto KOBAYASHI
AU - Toshiyasu MATSUSHIMA
AU - Shigeichi HIRASAWA
PY - 2006
DO - 10.1093/ietfec/e89-a.5.1299
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2006
AB - 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.
ER -