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On the Skew Cyclic Codes and the Reversibility Problem for DNA 4-Bases

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dc.authorscopusid35363583100
dc.authorscopusid55225938200
dc.contributor.authorÇengellenmiş, Y.
dc.contributor.authorDertli, A.
dc.date.accessioned2020-06-21T12:17:55Z
dc.date.available2020-06-21T12:17:55Z
dc.date.issued2020
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Çengellenmiş] Yasemin, Department of Mathematics, Trakya Üniversitesi, Edirne, Edirne, Turkey; [Dertli] Abdullah, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkeyen_US
dc.description.abstractThe DNA 4-bases are matched with the 256 elements of the finite ring R= F<inf>4</inf>+ uF<inf>4</inf>+ vF<inf>4</inf>+ uvF<inf>4</inf>, where u2= u, v2= v, uv= vu. By defining a non trivial automorphism over R, the skew cyclic codes over the finite ring R are introduced. The reversible DNA codes are obtained, by using the skew cyclic codes whose generator polynomials satisfy some conditions. Thanks to this, the reversibility problem for DNA 4-bases can be solved. Moreover, the Gray images of the skew cyclic codes over the finite ring are determined. © 2019, Springer Nature Switzerland AG.en_US
dc.identifier.doi10.1007/s11786-019-00424-5
dc.identifier.endpage435en_US
dc.identifier.issn1661-8270
dc.identifier.issn1661-8289
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85076878761
dc.identifier.scopusqualityQ3
dc.identifier.startpage431en_US
dc.identifier.urihttps://doi.org/10.1007/s11786-019-00424-5
dc.identifier.volume14en_US
dc.identifier.wosWOS:000531286600021
dc.language.isoenen_US
dc.publisherBirkhauseren_US
dc.relation.ispartofMathematics in Computer Scienceen_US
dc.relation.journalMathematics in Computer Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDNA Codesen_US
dc.subjectReversibilityen_US
dc.subjectSkew Codesen_US
dc.titleOn the Skew Cyclic Codes and the Reversibility Problem for DNA 4-Basesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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