On (1 - u2)-cyclic and cyclic codes over IFp

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dc.contributor.authorCengellenmis, Yasemin
dc.date.accessioned2024-06-12T11:02:49Z
dc.date.available2024-06-12T11:02:49Z
dc.date.issued2009
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIt is extended a result of [5] to codes over the commutative ring IFp + uIF(p) + u(2)IFp where u(3) = 0. A new Gray map between codes over IFp + uIF(p) + u(2)IFp and IFp is defined. It is proved that the Gray image of the linear (1 - u(2))-cyclic code over the commutative ring IFp + uIF(p) + u(2)IF(p) of length n is a distance-invariant quasi-cyclic code of index p and length p(2)n over IFp. And it is proved that if (n, p) = 1, then every code of length p(2)n over IFp which is the Gray image of a linear cyclic code of length n over IFp + uIF(p) + u(2)IF(p) is permutation equivalent to a quasi-cyclic code of index p.en_US
dc.identifier.doi10.1080/09720529.2009.10698233
dc.identifier.endpage243en_US
dc.identifier.issn0972-0529
dc.identifier.issn2169-0065
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-80052191081en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage239en_US
dc.identifier.urihttps://doi.org/10.1080/09720529.2009.10698233
dc.identifier.urihttps://hdl.handle.net/20.500.14551/21425
dc.identifier.volume12en_US
dc.identifier.wosWOS:000213391900011en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaru Publicationsen_US
dc.relation.ispartofJournal Of Discrete Mathematical Sciences & Cryptographyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGray Mapen_US
dc.subjectCyclic Codesen_US
dc.titleOn (1 - u2)-cyclic and cyclic codes over IFpen_US
dc.typeArticleen_US

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