{"title":"用拉马努金图和马古利斯思想构造正则和不规则LDPC码","authors":"J. Rosenthal, P. Vontobel","doi":"10.1109/ISIT.2001.935867","DOIUrl":null,"url":null,"abstract":"Some twenty years ago Margulis (1982) proposed an algebraic construction of low density parity check (LDPC) codes. In this paper we mimick the construction of Margulis and describe a method for algebraically constructing regular and irregular LDPC codes.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"157 2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"48","resultStr":"{\"title\":\"Constructions of regular and irregular LDPC codes using Ramanujan graphs and ideas from Margulis\",\"authors\":\"J. Rosenthal, P. Vontobel\",\"doi\":\"10.1109/ISIT.2001.935867\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some twenty years ago Margulis (1982) proposed an algebraic construction of low density parity check (LDPC) codes. In this paper we mimick the construction of Margulis and describe a method for algebraically constructing regular and irregular LDPC codes.\",\"PeriodicalId\":433761,\"journal\":{\"name\":\"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)\",\"volume\":\"157 2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"48\",\"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.2001.935867\",\"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.2001.935867","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Constructions of regular and irregular LDPC codes using Ramanujan graphs and ideas from Margulis
Some twenty years ago Margulis (1982) proposed an algebraic construction of low density parity check (LDPC) codes. In this paper we mimick the construction of Margulis and describe a method for algebraically constructing regular and irregular LDPC codes.