REVERSIBLE G-CODES OVER THE RING Fj,k WITH APPLICATIONS TO DNA CODES

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dc.authoridUstun, Deniz/0000-0002-5229-4018;
dc.authorwosidUstun, Deniz/G-2829-2015
dc.authorwosidSahinkaya, Serap/ABB-4228-2020
dc.authorwosidUSTUN, Deniz/GQB-3301-2022
dc.contributor.authorCengellenmis, Yasemin
dc.contributor.authorDertli, Abdullah
dc.contributor.authorDougherty, Steven T.
dc.contributor.authorKorban, Adrian
dc.contributor.authorSahinkaya, Serap
dc.contributor.authorUstun, Deniz
dc.date.accessioned2024-06-12T11:02:51Z
dc.date.available2024-06-12T11:02:51Z
dc.date.issued2023
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn this paper, we show that one can construct a G-code from group rings that is reversible. Specifically, we show that given a group with a subgroup of order half the order of the ambient group with an element that is its own inverse outside the subgroup, we can give an ordering of the group elements for which G-codes are reversible of index alpha. Additionally, we introduce a new family of rings, F-j,F-k, whose base is the finite field of order 4 and study reversible G-codes over this family of rings. Moreover, we present some possible applications of reversible G-codes over F-j,F-k to reversible DNA codes. We construct many reversible G-codes over F-4 of which some are optimal. These codes can be used to obtain reversible DNA codes.en_US
dc.identifier.doi10.3934/amc.2021056
dc.identifier.endpage1421en_US
dc.identifier.issn1930-5346
dc.identifier.issn1930-5338
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85165891752en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1406en_US
dc.identifier.urihttps://doi.org/10.3934/amc.2021056
dc.identifier.urihttps://hdl.handle.net/20.500.14551/21442
dc.identifier.volume17en_US
dc.identifier.wosWOS:000729106500001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAdvances In Mathematics Of Communicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGroup Codesen_US
dc.subjectLinear Codesen_US
dc.subjectCodes Over Ringsen_US
dc.subjectGray Mapsen_US
dc.subjectDNA Codesen_US
dc.subjectMolecular Computationen_US
dc.titleREVERSIBLE G-CODES OVER THE RING Fj,k WITH APPLICATIONS TO DNA CODESen_US
dc.typeArticleen_US

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