{"title":"交错加比度林码的快速译码","authors":"V. Sidorenko, A. Wachter-Zeh, Di Chen","doi":"10.1109/RED.2012.6338413","DOIUrl":null,"url":null,"abstract":"Interleaving or the direct sum of L Gabidulin codes with rank distance d can be applied for random network coding. For the codes over Fqm a fast decoding algorithm is proposed correcting with high probability errors of rank up to L over L+1(d-1). The algorithm is based on fast skew-feedback shift-register synthesis and for fixed L has time complexity O(m3logm) operations in the base field Fq.","PeriodicalId":403644,"journal":{"name":"2012 XIII International Symposium on Problems of Redundancy in Information and Control Systems","volume":"429 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"On fast decoding of interleaved Gabidulin codes\",\"authors\":\"V. Sidorenko, A. Wachter-Zeh, Di Chen\",\"doi\":\"10.1109/RED.2012.6338413\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Interleaving or the direct sum of L Gabidulin codes with rank distance d can be applied for random network coding. For the codes over Fqm a fast decoding algorithm is proposed correcting with high probability errors of rank up to L over L+1(d-1). The algorithm is based on fast skew-feedback shift-register synthesis and for fixed L has time complexity O(m3logm) operations in the base field Fq.\",\"PeriodicalId\":403644,\"journal\":{\"name\":\"2012 XIII International Symposium on Problems of Redundancy in Information and Control Systems\",\"volume\":\"429 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 XIII International Symposium on Problems of Redundancy in Information and Control Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/RED.2012.6338413\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 XIII International Symposium on Problems of Redundancy in Information and Control Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/RED.2012.6338413","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Interleaving or the direct sum of L Gabidulin codes with rank distance d can be applied for random network coding. For the codes over Fqm a fast decoding algorithm is proposed correcting with high probability errors of rank up to L over L+1(d-1). The algorithm is based on fast skew-feedback shift-register synthesis and for fixed L has time complexity O(m3logm) operations in the base field Fq.