{"title":"关于容错多项式剩余数系统","authors":"H. Garg, F. Mendis","doi":"10.1109/ACSSC.1996.600858","DOIUrl":null,"url":null,"abstract":"Fault-tolerant convolution techniques have been described for polynomials defined over the fields of complex and real numbers. Fault-tolerant convolution schemes are derived for polynomials defined over finite integer rings. A new algorithm for simultaneous single fault correction and multiple fault detection is derived that is valid for all cases.","PeriodicalId":270729,"journal":{"name":"Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On fault-tolerant polynomial residue number systems\",\"authors\":\"H. Garg, F. Mendis\",\"doi\":\"10.1109/ACSSC.1996.600858\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fault-tolerant convolution techniques have been described for polynomials defined over the fields of complex and real numbers. Fault-tolerant convolution schemes are derived for polynomials defined over finite integer rings. A new algorithm for simultaneous single fault correction and multiple fault detection is derived that is valid for all cases.\",\"PeriodicalId\":270729,\"journal\":{\"name\":\"Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-11-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACSSC.1996.600858\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACSSC.1996.600858","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On fault-tolerant polynomial residue number systems
Fault-tolerant convolution techniques have been described for polynomials defined over the fields of complex and real numbers. Fault-tolerant convolution schemes are derived for polynomials defined over finite integer rings. A new algorithm for simultaneous single fault correction and multiple fault detection is derived that is valid for all cases.