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Correcting a Fraction of Errors in Nonbinary Expander Codes With Linear Programming - MaRDI portal

Correcting a Fraction of Errors in Nonbinary Expander Codes With Linear Programming

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Publication:5273621

DOI10.1109/TIT.2011.2137030zbMATH Open1365.94603arXiv0906.1565MaRDI QIDQ5273621

Vitaly Skachek

Publication date: 12 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Abstract: A linear-programming decoder for emph{nonbinary} expander codes is presented. It is shown that the proposed decoder has the maximum-likelihood certificate properties. It is also shown that this decoder corrects any pattern of errors of a relative weight up to approximately 1/4 delta_A delta_B (where delta_A and delta_B are the relative minimum distances of the constituent codes).


Full work available at URL: https://arxiv.org/abs/0906.1565






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