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.authorCengellenmis Y.
dc.date.accessioned2024-06-12T10:29:19Z
dc.date.available2024-06-12T10:29:19Z
dc.date.issued2020
dc.description.abstractIn this paper, we study the structures of cyclic, quasi-cyclic, constacyclic codes and their skew codes over the finite ring Sp = Fp + uFp + vFp, u2 = u; v2 = v; uv = vu = 0. The Gray images of cyclic, quasi-cyclic, skew cyclic, skew quasi-cyclic and skew constacyclic codes over Sp are obtained. A necessary and sufficient condition for cyclic (negacyclic) codes over Sp 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-s2.0-85094556755en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage626en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14551/17689
dc.identifier.volume9en_US
dc.indekslendigikaynakScopusen_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 Codes; Cyclic Codes; Finite Rings; Quantum Codes; Quasi-Cyclic Codes; Skew Codesen_US
dc.titleOn the Gray images of some linear codes and quantum codesen_US
dc.typeArticleen_US

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