{"title":"两类新的 MDS 符号对代码","authors":"Xiaoshan Kai;Yajing Zhou;Shixin Zhu","doi":"10.1109/TIT.2024.3466523","DOIUrl":null,"url":null,"abstract":"Due to the application of high density data storage systems, symbol-pair codes are proposed to combat errors of the overlapping symbol pairs output over symbol-pair read channels. Maximum distance separable (MDS) symbol-pair codes are optimal in the sense that they have the highest pair error-correcting capability. In this paper, we construct two new classes of MDS symbol-pair codes with minimum pair distance seven based on simple-root cyclic codes. Our technique is through the decomposition of cyclic codes and the dual of each component code.","PeriodicalId":13494,"journal":{"name":"IEEE Transactions on Information Theory","volume":"70 11","pages":"7701-7710"},"PeriodicalIF":2.2000,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two New Classes of MDS Symbol-Pair Codes\",\"authors\":\"Xiaoshan Kai;Yajing Zhou;Shixin Zhu\",\"doi\":\"10.1109/TIT.2024.3466523\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Due to the application of high density data storage systems, symbol-pair codes are proposed to combat errors of the overlapping symbol pairs output over symbol-pair read channels. Maximum distance separable (MDS) symbol-pair codes are optimal in the sense that they have the highest pair error-correcting capability. In this paper, we construct two new classes of MDS symbol-pair codes with minimum pair distance seven based on simple-root cyclic codes. Our technique is through the decomposition of cyclic codes and the dual of each component code.\",\"PeriodicalId\":13494,\"journal\":{\"name\":\"IEEE Transactions on Information Theory\",\"volume\":\"70 11\",\"pages\":\"7701-7710\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-09-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Information Theory\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10689448/\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Information Theory","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10689448/","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
Due to the application of high density data storage systems, symbol-pair codes are proposed to combat errors of the overlapping symbol pairs output over symbol-pair read channels. Maximum distance separable (MDS) symbol-pair codes are optimal in the sense that they have the highest pair error-correcting capability. In this paper, we construct two new classes of MDS symbol-pair codes with minimum pair distance seven based on simple-root cyclic codes. Our technique is through the decomposition of cyclic codes and the dual of each component code.
期刊介绍：
The IEEE Transactions on Information Theory is a journal that publishes theoretical and experimental papers concerned with the transmission, processing, and utilization of information. The boundaries of acceptable subject matter are intentionally not sharply delimited. Rather, it is hoped that as the focus of research activity changes, a flexible policy will permit this Transactions to follow suit. Current appropriate topics are best reflected by recent Tables of Contents; they are summarized in the titles of editorial areas that appear on the inside front cover.
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