Some results on the linear codes over the finite ring F2 + v1F2 + ... + vrF2

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dc.contributor.authorDertli, Abdullah
dc.contributor.authorCengellenmis, Yasemin
dc.contributor.authorEren, Senol
dc.date.accessioned2024-06-12T11:13:13Z
dc.date.available2024-06-12T11:13:13Z
dc.date.issued2016
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn this paper, we study the structure of cyclic, quasi-cyclic codes and their skew codes over the finite ring B-r = F-2 + v(1)F(2) + ... + v(r)F(2), v(i)(2) + v(i), v(i)v(j) = v(j)v(i) 0, 1 <= i, j <= r for r >= 1. The Gray images of cyclic, quasi-cyclic, skew cyclic, skew quasi-cyclic codes over B-r are obtained. A necessary and sufficient condition for cyclic code over Br that contains its dual has been given. The parameters of quantum error correcting codes are obtained from cyclic codes over B-r.en_US
dc.identifier.doi10.1142/S021974991650012X
dc.identifier.issn0219-7499
dc.identifier.issn1793-6918
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84964553492en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S021974991650012X
dc.identifier.urihttps://hdl.handle.net/20.500.14551/23472
dc.identifier.volume14en_US
dc.identifier.wosWOS:000377769900008en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal Of Quantum Informationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectQuantum Codesen_US
dc.subjectCyclic Codesen_US
dc.subjectSkew Codesen_US
dc.subjectFinite Ringsen_US
dc.subjectCyclic Codesen_US
dc.subjectAlgebraic Structureen_US
dc.subjectQuantum Codesen_US
dc.subjectConstructionen_US
dc.titleSome results on the linear codes over the finite ring F2 + v1F2 + ... + vrF2en_US
dc.typeArticleen_US

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