Reversible DNA codes over F16 + uF16 + vF16 + uvF16

dc.authorid0000-0003-0032-3400en_US
dc.contributor.authorGürsoy, Fatmanur
dc.contributor.authorÖztaş, Elif Segah
dc.contributor.authorSiap, İrfan
dc.date.accessioned2019-12-06T21:15:59Z
dc.date.available2019-12-06T21:15:59Z
dc.date.issued2017
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS:000401830400007en_US
dc.description.abstractIn this paper we study the structure of specific linear codes called DNA codes. The first attempts on studying such codes have been proposed over four element rings which are naturally matched with DNA four letters. Later, double (pair) DNA strings or more general k-DNA strings called k-mers have been matched with some special rings and codes over such rings with specific properties are studied. However, these matchings in general are not straight-forward and because of the fact that the reverse of the codewords (k-mers) need to exist in the code, the matching problem is difficult and it is referred to as the reversibility problem. Here, 8-mers (DNA 8-bases) are matched with the ring elements of R-16 = F-16 + uF(16) + upsilon F-16 + u upsilon F-16. Furthermore, cyclic codes over the ring R-16 where the multiplication is taken to be noncommutative with respect to an automorphism theta are studied. The preference on the skewness is shown to be very useful and practical especially since this serves as a direct solution to the reversibility problem compared to the commutative approaches.en_US
dc.identifier.citationGürsoy, F., Segah, O. E., Siap, I. (2017). REVERSIBLE DNA CODES OVER F-16 + uF(16) + upsilon F-16 + u upsilon F-16. Advances in Mathematics of Communications, 11, 2, 307-312.
dc.identifier.doi10.3934/amc.2017023
dc.identifier.endpage312en_US
dc.identifier.issn1930-5346
dc.identifier.issn1930-5338
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85018747018
dc.identifier.scopusqualityQ1
dc.identifier.startpage307en_US
dc.identifier.urihttps://dx.doi.org/10.3934/amc.2017023
dc.identifier.urihttps://hdl.handle.net/11492/2782
dc.identifier.volume11en_US
dc.identifier.wosWOS:000401830400007
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorÖztaş, Elif Segah
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.journalAdvances in Mathematics of Communicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDNA Codesen_US
dc.subjectReversible Codesen_US
dc.subjectSkew Cyclic Codesen_US
dc.titleReversible DNA codes over F16 + uF16 + vF16 + uvF16en_US
dc.typeArticle

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