{"title":"Error exponents of expander codes","authors":"A. Barg, G. Zémor","doi":"10.1109/ISIT.2001.935910","DOIUrl":null,"url":null,"abstract":"We show that expander codes attain the capacity of the binary symmetric channel under iterative decoding. The error probability has a positive exponent for all rates between 0 and channel capacity. The decoding complexity grows linearly with code length.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"103","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2001.935910","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 103
Abstract
We show that expander codes attain the capacity of the binary symmetric channel under iterative decoding. The error probability has a positive exponent for all rates between 0 and channel capacity. The decoding complexity grows linearly with code length.