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

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dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.authoridhttps://orcid.org/0000-0002-5229-4018
dc.authorscopusid57206665622
dc.authorscopusid55420759300
dc.authorscopusid36728602600
dc.authorwosidDWJ-0396-2022
dc.authorwosidABB-4228-2020
dc.authorwosidG-2829-2015
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.issued2023
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
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.
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.2021056
dc.identifier.doi10.3934/amc.2021056
dc.identifier.endpage1421en_US
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85165891752
dc.identifier.scopusqualityQ1
dc.identifier.startpage1406en_US
dc.identifier.urihttps://hdl.handle.net/20.500.13099/304
dc.identifier.volume17en_US
dc.identifier.wosWOS:000729106500001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÜstün, Deniz
dc.institutionauthorŞahinkaya, Serap
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.relation.ispartofAdvances in Mathematics of Communications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectGroup Codes
dc.subjectLinear Codes
dc.subjectCodes over Rings
dc.subjectGray Maps
dc.subjectDNA Codes
dc.titleReversible G-codes over the ring Fj,k with applications to DNA codes
dc.typeArticle

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