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

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          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).

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          Author and article information

          Journal
          2009-06-08
          2010-10-27
          Article
          10.1109/TIT.2011.2137030
          0906.1565
          906c4b28-d587-4b39-832a-9e78cf011de0

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Part of this work was presented at the IEEE International Symposium on Information Theory 2009, Seoul, Korea
          cs.IT math.IT

          Numerical methods,Information systems & theory
          Numerical methods, Information systems & theory

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