Cyclic codes over F2 X (F2+vF2) and binary quantum codes

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dc.contributor.authorÇalışkan, Fatma
dc.contributor.authorAksoy, Refia
dc.date.accessioned2024-06-13T20:18:28Z
dc.date.available2024-06-13T20:18:28Z
dc.date.issued2023
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn the present study, we define cyclic codes over the commutative principal ideal ring F2 X (F2 + vF2) with v2 = v and obtain some results on cyclic codes over F2 X (F2 + vF2). We also investigate the dual of a cyclic code over F2 X (F2 + vF2) depending on two inner products. We determine a generator polynomial of cyclic codes and give the calculation of the number of cyclic codes over F2 X (F2 + vF2). Furthermore, we show that the Gray images of a cyclic code over F2 X (F2 + vF2) of length n are binary quasi-cyclic codes of length 3n and of index 3. We find numerous binary codes as Gray images of cyclic codes over F2 X (F2 + vF2) and tabulate the optimal ones. Moreover, we show that it is possible to obtain binary quantum error-correcting codes (QECCs) from cyclic codes over F2 X (F2 + vF2).
dc.identifier.doi10.2298/FIL2315137C
dc.identifier.endpage5147
dc.identifier.issn0354-5180
dc.identifier.issue15
dc.identifier.scopus2-s2.0-85150511468
dc.identifier.scopusqualityQ3
dc.identifier.startpage5137
dc.identifier.urihttps://doi.org/10.2298/FIL2315137C
dc.identifier.urihttps://hdl.handle.net/11501/1383
dc.identifier.volume37
dc.identifier.wosWOS:000950213700001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAksoy, Refia
dc.language.isoen
dc.publisherUniversity of Nis
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCyclic Code
dc.subjectGenerator Polynomial
dc.subjectDual Code
dc.subjectQuantum Code
dc.titleCyclic codes over F2 X (F2+vF2) and binary quantum codes
dc.title.alternativeCyclic codes over F2 × (F2 + vF2) and binary quantum codes
dc.typeArticle

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