{"title":"码纠正和同时检测固体突发错误","authors":"P. Das","doi":"10.18495/COMENGAPP.V2I1.15","DOIUrl":null,"url":null,"abstract":"Detecting and correcting errors is one of the main tasks in coding theory. The bounds are important in terms of error-detecting and -correcting capabilities of the codes. Solid Burst error is common in several communication channels. This paper obtains lower and upper bounds on the number of parity-check digits required for linear codes capable of correcting any solid burst error of length b or less and simultaneously detecting any solid burst error of length s (> b ) or less. Illustration of such a code is also provided. Keywords: Parity check matrix, Syndromes, Solid burst errors, Standard array DOI: 10.18495/comengapp.21.143150","PeriodicalId":120500,"journal":{"name":"Computer Engineering and Applications","volume":"140 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Codes correcting and simultaneously detecting solid burst errors\",\"authors\":\"P. Das\",\"doi\":\"10.18495/COMENGAPP.V2I1.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Detecting and correcting errors is one of the main tasks in coding theory. The bounds are important in terms of error-detecting and -correcting capabilities of the codes. Solid Burst error is common in several communication channels. This paper obtains lower and upper bounds on the number of parity-check digits required for linear codes capable of correcting any solid burst error of length b or less and simultaneously detecting any solid burst error of length s (> b ) or less. Illustration of such a code is also provided. Keywords: Parity check matrix, Syndromes, Solid burst errors, Standard array DOI: 10.18495/comengapp.21.143150\",\"PeriodicalId\":120500,\"journal\":{\"name\":\"Computer Engineering and Applications\",\"volume\":\"140 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computer Engineering and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18495/COMENGAPP.V2I1.15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computer Engineering and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18495/COMENGAPP.V2I1.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Codes correcting and simultaneously detecting solid burst errors
Detecting and correcting errors is one of the main tasks in coding theory. The bounds are important in terms of error-detecting and -correcting capabilities of the codes. Solid Burst error is common in several communication channels. This paper obtains lower and upper bounds on the number of parity-check digits required for linear codes capable of correcting any solid burst error of length b or less and simultaneously detecting any solid burst error of length s (> b ) or less. Illustration of such a code is also provided. Keywords: Parity check matrix, Syndromes, Solid burst errors, Standard array DOI: 10.18495/comengapp.21.143150