{"title":"一个最大似然多项式时间综合征解码器,以纠正线性无关的错误","authors":"G. Horn, R. Karp","doi":"10.1109/ISIT.2001.935950","DOIUrl":null,"url":null,"abstract":"It is shown for a linear code over F/sub 2/L, defined by a binary parity matrix H, that the minimum weight error vector e associated with a syndrome s can be computed in polynomial time if the nonzero elements of the error vector are linearly independent over F/sub 2/L.","PeriodicalId":433761,"journal":{"name":"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)","volume":"446 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A maximum likelihood polynomial time syndrome decoder to correct linearly independent errors\",\"authors\":\"G. Horn, R. Karp\",\"doi\":\"10.1109/ISIT.2001.935950\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown for a linear code over F/sub 2/L, defined by a binary parity matrix H, that the minimum weight error vector e associated with a syndrome s can be computed in polynomial time if the nonzero elements of the error vector are linearly independent over F/sub 2/L.\",\"PeriodicalId\":433761,\"journal\":{\"name\":\"Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252)\",\"volume\":\"446 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"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.2001.935950\",\"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.2001.935950","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A maximum likelihood polynomial time syndrome decoder to correct linearly independent errors
It is shown for a linear code over F/sub 2/L, defined by a binary parity matrix H, that the minimum weight error vector e associated with a syndrome s can be computed in polynomial time if the nonzero elements of the error vector are linearly independent over F/sub 2/L.