On the Codes over a Semilocal Finite Ring

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dc.contributor.authorDertli, Abdullah
dc.contributor.authorCengellenmis, Yasemin
dc.contributor.authorEren, Senol
dc.date.accessioned2024-06-12T10:59:06Z
dc.date.available2024-06-12T10:59:06Z
dc.date.issued2015
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn this paper, we study the structure of cyclic, quasi cyclic, constacyclic codes and their skew codes over the finite ring R. The Gray images of cyclic, quasi cyclic, skew cyclic, skew quasi cyclic and skew constacyclic codes over R are obtained. A necessary and sufficient condition for cyclic (negacyclic) codes over R that contains its dual has been given. The parameters of quantum error correcting codes are obtained from both cyclic and negacyclic codes over R. Some examples are given. Firstly, quasi constacyclic and skew quasi constacyclic codes are introduced. By giving two inner product, it is investigated their duality. A sufficient condition for 1 generator skew quasi constacyclic codes to be free is determined.en_US
dc.identifier.endpage292en_US
dc.identifier.issn2158-107X
dc.identifier.issn2156-5570
dc.identifier.issue10en_US
dc.identifier.startpage283en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14551/20302
dc.identifier.volume6en_US
dc.identifier.wosWOS:000369851700039en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherScience & Information Sai Organization Ltden_US
dc.relation.ispartofInternational Journal Of Advanced Computer Science And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCyclic Codesen_US
dc.subjectSkew Cyclic Codesen_US
dc.subjectQuantum Codesen_US
dc.subjectCyclic Codesen_US
dc.subjectQuantum Codesen_US
dc.subjectAlgebraic Structureen_US
dc.subjectConstacyclic Codesen_US
dc.subjectConstructionen_US
dc.titleOn the Codes over a Semilocal Finite Ringen_US
dc.typeArticleen_US

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