{"title":"里德索罗门码的代数软判决译码的指数误差界","authors":"N. Ratnakar, R. Koetter","doi":"10.1109/ISIT.2004.1365455","DOIUrl":null,"url":null,"abstract":"This paper describes an algebraic soft decision (ASD) decoding algorithms of Reed Solomon codes, which assigns suitable weighted-interpolation and factorization algorithms. The probability of exponential error with an output alphabet multiplicity matrix M is used for decoding the received symbols when ASD algorithm is upper bound. Under the probability of error metric, these algorithms perform better in discrete, memoryless channel.","PeriodicalId":92224,"journal":{"name":"International Symposium on Information Theory and its Applications. International Symposium on Information Theory and its Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2004-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Exponential error bounds for algebraic soft-decision decoding of Reed Solomon codes\",\"authors\":\"N. Ratnakar, R. Koetter\",\"doi\":\"10.1109/ISIT.2004.1365455\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper describes an algebraic soft decision (ASD) decoding algorithms of Reed Solomon codes, which assigns suitable weighted-interpolation and factorization algorithms. The probability of exponential error with an output alphabet multiplicity matrix M is used for decoding the received symbols when ASD algorithm is upper bound. Under the probability of error metric, these algorithms perform better in discrete, memoryless channel.\",\"PeriodicalId\":92224,\"journal\":{\"name\":\"International Symposium on Information Theory and its Applications. International Symposium on Information Theory and its Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Symposium on Information Theory and its Applications. International Symposium on Information Theory and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2004.1365455\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Symposium on Information Theory and its Applications. International Symposium on Information Theory and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2004.1365455","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exponential error bounds for algebraic soft-decision decoding of Reed Solomon codes
This paper describes an algebraic soft decision (ASD) decoding algorithms of Reed Solomon codes, which assigns suitable weighted-interpolation and factorization algorithms. The probability of exponential error with an output alphabet multiplicity matrix M is used for decoding the received symbols when ASD algorithm is upper bound. Under the probability of error metric, these algorithms perform better in discrete, memoryless channel.