{"title":"网络纠错的改进编码边界","authors":"Shenghao Yang, R. Yeung","doi":"10.1109/ITWITWN.2007.4318046","DOIUrl":null,"url":null,"abstract":"With respect to a given set of local encoding kernels defining a linear network code, refined versions of the Hamming bound, the Singleton bound and the Gilbert-Varshamov bound for network error correction are proved by the weight properties of network codes. This refined Singleton bound is also proved to be tight for linear message sets.","PeriodicalId":257392,"journal":{"name":"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks","volume":"77 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"28","resultStr":"{\"title\":\"Refined Coding Bounds for Network Error Correction\",\"authors\":\"Shenghao Yang, R. Yeung\",\"doi\":\"10.1109/ITWITWN.2007.4318046\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"With respect to a given set of local encoding kernels defining a linear network code, refined versions of the Hamming bound, the Singleton bound and the Gilbert-Varshamov bound for network error correction are proved by the weight properties of network codes. This refined Singleton bound is also proved to be tight for linear message sets.\",\"PeriodicalId\":257392,\"journal\":{\"name\":\"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks\",\"volume\":\"77 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"28\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ITWITWN.2007.4318046\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 IEEE Information Theory Workshop on Information Theory for Wireless Networks","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITWITWN.2007.4318046","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Refined Coding Bounds for Network Error Correction
With respect to a given set of local encoding kernels defining a linear network code, refined versions of the Hamming bound, the Singleton bound and the Gilbert-Varshamov bound for network error correction are proved by the weight properties of network codes. This refined Singleton bound is also proved to be tight for linear message sets.