{"title":"Some Results on Codes over Galois Rings","authors":"H. Tapia-Recillas","doi":"10.1109/ITW.2006.1633792","DOIUrl":null,"url":null,"abstract":"As a continuation of the study of error-detecting correcting binary codes and codes over finite fields in general, several authors have been studying codes over some finite rings, particularly the ring Z<inf>4</inf>of integers modulo 4 and more generally codes over the ring Z<inf>p</inf><sup>n</sup>of integers modulo p<sup>n</sup>(p a prime and n a positive integer). These rings are examples of Galois rings. In this note results appearing in the literature for codes over the ring Z<inf>p</inf><sup>n</sup>are extended for codes over some Galois rings.","PeriodicalId":293144,"journal":{"name":"2006 IEEE Information Theory Workshop - ITW '06 Punta del Este","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 IEEE Information Theory Workshop - ITW '06 Punta del Este","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ITW.2006.1633792","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
As a continuation of the study of error-detecting correcting binary codes and codes over finite fields in general, several authors have been studying codes over some finite rings, particularly the ring Z4of integers modulo 4 and more generally codes over the ring Zpnof integers modulo pn(p a prime and n a positive integer). These rings are examples of Galois rings. In this note results appearing in the literature for codes over the ring Zpnare extended for codes over some Galois rings.
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