{"title":"准循环LDPC码的谱图","authors":"R. M. Tanner","doi":"10.1109/ISIT.2001.936089","DOIUrl":null,"url":null,"abstract":"Quasi-cyclic codes are described in terms of code equations on the spectral components of constituent cyclic codes. These define a constraint graph in the spectral domain. Here spectral graphs define low density parity check codes (LDPC) codes for which minimum distance can be bounded with algebraic and graph-based arguments. Examples include [42,22,8] and [155,64,20] regular LPDC codes.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"39","resultStr":"{\"title\":\"Spectral graphs for quasi-cyclic LDPC codes\",\"authors\":\"R. M. Tanner\",\"doi\":\"10.1109/ISIT.2001.936089\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Quasi-cyclic codes are described in terms of code equations on the spectral components of constituent cyclic codes. These define a constraint graph in the spectral domain. Here spectral graphs define low density parity check codes (LDPC) codes for which minimum distance can be bounded with algebraic and graph-based arguments. Examples include [42,22,8] and [155,64,20] regular LPDC codes.\",\"PeriodicalId\":433761,\"journal\":{\"name\":\"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"39\",\"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.2001.936089\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","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.2001.936089","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quasi-cyclic codes are described in terms of code equations on the spectral components of constituent cyclic codes. These define a constraint graph in the spectral domain. Here spectral graphs define low density parity check codes (LDPC) codes for which minimum distance can be bounded with algebraic and graph-based arguments. Examples include [42,22,8] and [155,64,20] regular LPDC codes.
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