Non-Binary Quantum Codes from Cyclic Codes over Fp x (Fp + vFp)

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dc.contributor.authorÇalışkan, Fatma
dc.contributor.authorYıldırım, Tülay
dc.contributor.authorAksoy, Refia
dc.date.accessioned2024-06-13T20:17:49Z
dc.date.available2024-06-13T20:17:49Z
dc.date.issued2023
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn this paper, we study cyclic codes over the ring F-p x (F-p + vF(p)), where p is an odd prime and v(2) = v. We first investigate the properties of the ring F-p x (F-p + vF(p)) and the linear codes over this ring. We also define a distance-preserving Gray map from F(p)x(F-p+vF(p)) to F-p(3). We discuss cyclic codes and their dual codes over the ring. Also, we define a set of generators for these codes. As an implementation, we show that quantum error-correcting codes can be obtained from dual containing cyclic codes over the ring by using the CalderbankShor-Steane (CSS) construction. Furthermore, we give some illustrative examples. Finally, we tabulate the non-binary quantum error-correcting codes obtained from cyclic codes over the ring.
dc.identifier.doi10.1007/s10773-023-05294-z
dc.identifier.issn0020-7748
dc.identifier.issn1572-9575
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85147179346
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1007/s10773-023-05294-z
dc.identifier.urihttps://hdl.handle.net/11501/1100
dc.identifier.volume62
dc.identifier.wosWOS:000926366900001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer/Plenum Publishers
dc.relation.ispartofInternational Journal of Theoretical Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCyclic Codes
dc.subjectGenerator Polynomials
dc.subjectQuantum Codes
dc.titleNon-Binary Quantum Codes from Cyclic Codes over Fp x (Fp + vFp)
dc.typeArticle

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