(?i, ?)-Constacyclic Codes and DNA Codes Over Z4

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dc.contributor.authorUzekmek, Fatma Zehra
dc.contributor.authorÖztaş, Elif Segah
dc.contributor.authorÖzen, Mehmet
dc.date.accessioned2025-01-12T17:20:25Z
dc.date.available2025-01-12T17:20:25Z
dc.date.issued2024
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, three new automorphisms were identified over the ring Z(4)+uZ(4)+u(2)Z(4) where u(3 )= u(2). With the help of these automorphisms, the characteristic structures of the generator polynomials for the theta i-cyclic codes and (theta(i),lambda)-constacyclic codes of odd length on this ring were investigated. Also, for all the units over the ring, Z(4)-images of theta i-cyclic and (theta(i),lambda)-constacyclic codes were reviewed with the associated codes based on determined transformations. Using these observations, new and optimal codes were obtained and presented in the table. In addition, a new transformation was identified that involved DNA base pairs with the elements of Z(4). Moreover, a unit reverse polynomial was created, and in this way a new generation method has been built to construct reversible DNA codes over this ring. Finally, this article was further enhanced with supporting examples of the DNA as a part of the study.
dc.identifier.doi10.3934/math.20241355
dc.identifier.endpage27929
dc.identifier.issn2473-6988
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85205948621
dc.identifier.scopusqualityQ1
dc.identifier.startpage27908
dc.identifier.urihttps://doi.org/10.3934/math.20241355
dc.identifier.urihttps://hdl.handle.net/11492/10402
dc.identifier.volume9
dc.identifier.wosWOS:001329242100006
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorÖztaş, Elif Segah
dc.institutionauthoridÖztaş, Elif Segah/0000-0003-0032-3400
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCodes Over Rings
dc.subjectConstacyclic Codes
dc.subjectSkew Codes
dc.subjectDNA Codes
dc.title(?i, ?)-Constacyclic Codes and DNA Codes Over Z4
dc.typeArticle

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