Publication:
On the Gray Images of Some Linear Codes and Quantum Codes

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dc.authorscopusid55225938200
dc.authorscopusid35363583100
dc.contributor.authorDertli, A.
dc.contributor.authorÇengellenmiş, Y.
dc.date.accessioned2025-12-11T00:26:32Z
dc.date.issued2020
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Dertli] Abdullah, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkey; [Çengellenmiş] Yasemin, Department of Mathematics, Trakya Üniversitesi, Edirne, Edirne, Turkeyen_US
dc.description.abstractIn this paper, we study the structures of cyclic, quasi-cyclic, constacyclic codes and their skew codes over the finite ring S<inf>p</inf> = F<inf>p</inf> + uF<inf>p</inf> + vF<inf>p</inf>, u2 = u; v2 = v; uv = vu = 0. The Gray images of cyclic, quasi-cyclic, skew cyclic, skew quasi-cyclic and skew constacyclic codes over S<inf>p</inf> are obtained. A necessary and sufficient condition for cyclic (negacyclic) codes over S<inf>p</inf> that contains its dual has been given. The parameters of quantum error correcting codes are obtained from both cyclic and negacyclic codes over Sp. The MacWilliams identities are obtained. © Palestine Polytechnic University-PPU 2020.en_US
dc.identifier.endpage638en_US
dc.identifier.issn2219-5688
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85094556755
dc.identifier.scopusqualityQ4
dc.identifier.startpage626en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12712/36362
dc.identifier.volume9en_US
dc.language.isoenen_US
dc.publisherPalestine Polytechnic Universityen_US
dc.relation.ispartofPalestine Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConstacyclic Codesen_US
dc.subjectCyclic Codesen_US
dc.subjectFinite Ringsen_US
dc.subjectQuantum Codesen_US
dc.subjectQuasi-Cyclic Codesen_US
dc.subjectSkew Codesen_US
dc.titleOn the Gray Images of Some Linear Codes and Quantum Codesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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