{"title":"Low-density parity-check codes based on the independent subgroups","authors":"F. Ivanov, V. Zyablov, V. Potapov","doi":"10.1109/RED.2012.6338401","DOIUrl":null,"url":null,"abstract":"Two criteria of cyclic subgroups independence are proved. The ensemble of regular binary LDPC codes which are based on independent subgroups, is built. The condition of absence of the cycles of the length 4 is proved for the resulting code construction. The results of the received code constructions are presented for the iterative algorithm Sum-Product when the codeword is transmitted over channel with additive Gaussian white noise (AGWN).","PeriodicalId":403644,"journal":{"name":"2012 XIII International Symposium on Problems of Redundancy in Information and Control Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2012-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 XIII International Symposium on Problems of Redundancy in Information and Control Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RED.2012.6338401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Two criteria of cyclic subgroups independence are proved. The ensemble of regular binary LDPC codes which are based on independent subgroups, is built. The condition of absence of the cycles of the length 4 is proved for the resulting code construction. The results of the received code constructions are presented for the iterative algorithm Sum-Product when the codeword is transmitted over channel with additive Gaussian white noise (AGWN).
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