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タイトル Linear Programming Decoding of Binary Linear Codes for Symbol-Pair Read Channels
著者 堀井俊佑 、松嶋敏泰 、平澤茂一
年度 2016
形式 論文誌
分野 その他
掲載雑誌名 電子情報通信学会論文誌
掲載号・ページ vol.E99-A, No.12, pp.2170-2178
掲載年 2016
掲載月 12
アブスト
(日本語)
査読有
DOI: 10.1587/transfun.E99.A.2170
アブスト
(英語)
In this study, we develop a new algorithm for decoding binary linear codes for symbol-pair read channels. The symbol-pair read channel was recently introduced by Cassuto and Blaum to model channels with higher write resolutions than read resolutions. The proposed decoding algorithm is based on linear programming (LP). For LDPC codes, the proposed algorithm runs in time polynomial in the codeword length. It is proved that the proposed LP decoder has the maximum-likelihood (ML) certificate property, i.e., the output of the decoder is guaranteed to be the ML codeword when it is integral. We also introduce the fractional pair distance dfp of the code, which is a lower bound on the minimum pair distance. It is proved that the proposed LP decoder corrects up to $\left\lceil dfp/2\right\rceil -1$ errors.
備考
(日本語)
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備考
(英語)
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