{"title":"On a class of finite geometry low density parity check codes","authors":"Shu Lin, Heng Tang, Y. Kou","doi":"10.1109/ISIT.2001.935865","DOIUrl":null,"url":null,"abstract":"A new class of geometry LDPC codes is presented which contains the class of Kou-Lin-Fossorier codes (see IEEE International Symposium on Information Theory, p.200, June 2000) as a subclass. If the code construction is based on Euclidean geometry (EG) and projective geometry (PG) over finite fields, we obtain four classes of LDPC codes, namely: (1) type-I EG-LDPC codes; (2) type-II EG-LDPC codes; (3) type-I PG-LDPC codes; and (4) type-II PG-LDPC codes.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","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.2001.935865","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
Abstract
A new class of geometry LDPC codes is presented which contains the class of Kou-Lin-Fossorier codes (see IEEE International Symposium on Information Theory, p.200, June 2000) as a subclass. If the code construction is based on Euclidean geometry (EG) and projective geometry (PG) over finite fields, we obtain four classes of LDPC codes, namely: (1) type-I EG-LDPC codes; (2) type-II EG-LDPC codes; (3) type-I PG-LDPC codes; and (4) type-II PG-LDPC codes.
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