{"title":"GR(2a,m)上的负循环MDS码","authors":"Shixin Zhu, X. Kai, Ping Li","doi":"10.1109/ISIT.2009.5205253","DOIUrl":null,"url":null,"abstract":"Using Reed-Solomon codes and cyclic MDS codes of length 2<sup>m</sup> + 1 over F<inf>2m</inf>, we obtain several classes of negacyclic MDS codes over GR(2<sup>a</sup>,m) of lengths 2<sup>m</sup> − 1 and 2<sup>m</sup> + 1 as analogues of Hensel lifts of these codes.","PeriodicalId":412925,"journal":{"name":"2009 IEEE International Symposium on Information Theory","volume":"691 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Negacyclic MDS codes over GR(2a,m)\",\"authors\":\"Shixin Zhu, X. Kai, Ping Li\",\"doi\":\"10.1109/ISIT.2009.5205253\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using Reed-Solomon codes and cyclic MDS codes of length 2<sup>m</sup> + 1 over F<inf>2m</inf>, we obtain several classes of negacyclic MDS codes over GR(2<sup>a</sup>,m) of lengths 2<sup>m</sup> − 1 and 2<sup>m</sup> + 1 as analogues of Hensel lifts of these codes.\",\"PeriodicalId\":412925,\"journal\":{\"name\":\"2009 IEEE International Symposium on Information Theory\",\"volume\":\"691 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 IEEE International Symposium on Information Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIT.2009.5205253\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Symposium on Information Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2009.5205253","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Using Reed-Solomon codes and cyclic MDS codes of length 2m + 1 over F2m, we obtain several classes of negacyclic MDS codes over GR(2a,m) of lengths 2m − 1 and 2m + 1 as analogues of Hensel lifts of these codes.
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