{"title":"Quasi-perfect geometrically uniform codes derived from graphs over Gaussian integer rings","authors":"Catia Quilles, R. Palazzo","doi":"10.1109/ISIT.2010.5513673","DOIUrl":null,"url":null,"abstract":"In this paper we present a generalization of the perfect codes derived from the quotient rings of Gaussian integers. We call this class of codes quasi-perfect, which in addition to preserving the property of being geometrically uniform codes they are able to correct more error patterns than the perfect codes.","PeriodicalId":92224,"journal":{"name":"International Symposium on Information Theory and its Applications. International Symposium on Information Theory and its Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Symposium on Information Theory and its Applications. International Symposium on Information Theory and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIT.2010.5513673","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
In this paper we present a generalization of the perfect codes derived from the quotient rings of Gaussian integers. We call this class of codes quasi-perfect, which in addition to preserving the property of being geometrically uniform codes they are able to correct more error patterns than the perfect codes.
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