Reversible G-codes over the ring Fj,k with applications to DNA codes

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dc.authoridhttps://orcid.org/0000-0002-2084-6260en_US
dc.authoridhttps://orcid.org/0000-0002-5229-4018en_US
dc.authorscopusid57206665622en_US
dc.authorscopusid55420759300en_US
dc.authorscopusid36728602600en_US
dc.authorwosidDWJ-0396-2022en_US
dc.authorwosidABB-4228-2020en_US
dc.authorwosidG-2829-2015en_US
dc.contributor.authorKorban, Adrian
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.contributor.authorCengellenmis, Yasemin
dc.contributor.authorDertli, Abdullah
dc.contributor.authorDougherty, Steven T.
dc.date.accessioned2024-07-31T11:38:42Z
dc.date.available2024-07-31T11:38:42Z
dc.date.issued2023en_US
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_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.citationCengellenmis, Y., Dertli, A., Dougherty, S.T., Korban, A., Şahinkaya, S. ve Ustun, D. (2023). Reversible G-codes over the ring with applications to DNA codes. Advances in Mathematics of Communications, 17(6): 1406-1421. doi: 10.3934/amc.2021056en_US
dc.identifier.doi10.3934/amc.2021056en_US
dc.identifier.endpage1421en_US
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85165891752en_US
dc.identifier.startpage1406en_US
dc.identifier.urihttps://hdl.handle.net/20.500.13099/304
dc.identifier.volume17en_US
dc.identifier.wos000729106500001en_US
dc.institutionauthorÜstün, Deniz
dc.institutionauthorŞahinkaya, Serap
dc.language.isoengen_US
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en_US
dc.relation.ispartofAdvances in Mathematics of Communicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/restrictedAccessen_US
dc.subjectGroup Codesen_US
dc.subjectLinear Codesen_US
dc.subjectCodes over Ringsen_US
dc.subjectGray Mapsen_US
dc.subjectDNA Codesen_US
dc.titleReversible G-codes over the ring Fj,k with applications to DNA codesen_US
dc.typearticleen_US

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