{"title":"On LP decoding of nonbinary expander codes","authors":"Vitaly Skachek","doi":"10.1109/ISIT.2009.5205740","DOIUrl":null,"url":null,"abstract":"A linear-programming (LP) decoder for 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 1/4δ<inf>A</inf>δ<inf>B</inf> (where δ<inf>A</inf> and δ<inf>B</inf> are the relative minimum distances of the constituent codes).","PeriodicalId":412925,"journal":{"name":"2009 IEEE International Symposium on Information Theory","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2009.5205740","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A linear-programming (LP) decoder for 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 1/4δAδB (where δA and δB are the relative minimum distances of the constituent codes).