Some Constacyclic Codes over Z4[u]/?u2?, New Gray Maps, and New Quaternary Codes

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dc.authoridAydin, Nuh/0000-0002-5618-2427
dc.authorwosidAydin, Nuh/AFO-3313-2022
dc.contributor.authorCengellenmis, Yasemin
dc.contributor.authorDertli, Abdullah
dc.contributor.authorAydin, Nuh
dc.date.accessioned2024-06-12T10:58:23Z
dc.date.available2024-06-12T10:58:23Z
dc.date.issued2018
dc.departmentTrakya Üniversitesien_US
dc.description.abstractthis paper, we study lambda-constacyclic codes over the ring R = Z(4) + uZ(4), where u(2) = 0, for lambda = 1 + 3u and 3 + u. We introduce two new Gray maps from R to Z(4)(4) and show that the Gray images of lambda-constacyclic codes over R are quasi-cyclic over Z(4). Moreover, we present many examples of lambda-constacyclic codes over R whose Z(4)-images have better parameters than the currently best-known linear codes over Z(4).en_US
dc.identifier.doi10.1142/S1005386718000263
dc.identifier.endpage376en_US
dc.identifier.issn1005-3867
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85051465004en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage369en_US
dc.identifier.urihttps://doi.org/10.1142/S1005386718000263
dc.identifier.urihttps://hdl.handle.net/20.500.14551/20047
dc.identifier.volume25en_US
dc.identifier.wosWOS:000441743000002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofAlgebra Colloquiumen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConstacyclic Codesen_US
dc.subjectCodes Over Ringsen_US
dc.subjectQuaternary Codesen_US
dc.subjectGray Mapsen_US
dc.titleSome Constacyclic Codes over Z4[u]/?u2?, New Gray Maps, and New Quaternary Codesen_US
dc.typeArticleen_US

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