{"title":"The depth spectrums of linear cyclic codes on ring ZPm","authors":"Xiying Zheng, Bo Kong","doi":"10.1109/YCICT.2010.5713070","DOIUrl":null,"url":null,"abstract":"In this paper, the generator polynomial of linear cyclic codes on ring Z<inf>Pm</inf> are studied, and we prove that the depth spectrum of linear cyclic codes C<inf>l</inf> = (p<sup>l−1</sup>f<inf>l</inf>)(degf<inf>l</inf> = n−k, l = 1, 2 · · · ,m) has consisted exactly k non zero values and give the depth spectrum of linear cyclic codes on ring Z<inf>Pm</inf>.","PeriodicalId":179847,"journal":{"name":"2010 IEEE Youth Conference on Information, Computing and Telecommunications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE Youth Conference on Information, Computing and Telecommunications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/YCICT.2010.5713070","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, the generator polynomial of linear cyclic codes on ring ZPm are studied, and we prove that the depth spectrum of linear cyclic codes Cl = (pl−1fl)(degfl = n−k, l = 1, 2 · · · ,m) has consisted exactly k non zero values and give the depth spectrum of linear cyclic codes on ring ZPm.