On the linear codes over the ring Z₄+v₁Z₄+...+v_{t}Z₄

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dc.contributor.authorDertli, Abdullah
dc.contributor.authorCengellenmiş, Yasemin
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-02T07:29:44Z
dc.date.available2021-11-02T07:29:44Z
dc.date.issued2019-02-01
dc.description.abstractSome results on linear codes over the ring Z₄+uZ₄+vZ₄,u²=u,v²=v,uv=vu=0 in [6,7] are generalized to the ring D_{t}=Z₄+v₁Z₄+...+v_{t}Z₄,v_{i}²=v_{i},v_{i}v_{j}=v_{j}v_{i}=0 for i≠j,1≤i,j≤t. A Gray map Φ_{t} from D_{t}ⁿ to Z₄^{(t+1)n} is defined. The Gray images of the cyclic, constacyclic and quasi-cyclic codes over D_{t} are determined. The cyclic DNA codes over D_{t} are introduced. The binary images of them are determined. The nontrivial automorphism on D_{i} for i=2,3,...,t is given. The skew cyclic, skew constacyclic and skew quasi-cyclic codes over D_{t} are introduced. The Gray images of them are determined. The skew cyclic DNA codes over D_{t} are introduced. Moreover, some properties of MDS codes over D_{t} are discussed.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage823tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage809tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.478655tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/75829
dc.identifier.volume68tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.478655tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectCyclic codestr_TR
dc.subjectSkew codestr_TR
dc.subjectDNA codestr_TR
dc.titleOn the linear codes over the ring Z₄+v₁Z₄+...+v_{t}Z₄tr_TR
dc.typeArticletr_TR

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