DNA codes from skew dihedral group ring

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dc.authoridhttps://orcid.org/0000-0003-4877-1923
dc.authoridhttps://orcid.org/0000-0001-5206-6480
dc.authoridhttps://orcid.org/0000-0002-5229-4018
dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.authorscopusid26325279300
dc.authorscopusid57206665622
dc.authorscopusid55420759300
dc.authorscopusid36728602600
dc.authorwosidG-2829-2015
dc.authorwosidABB-4228-2020
dc.authorwosidDWJ-0396-2022
dc.authorwosidCOV-5724-2022
dc.contributor.authorDougherty, S. T.
dc.contributor.authorKorban, Adrian
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜstün, Deniz
dc.date.accessioned2023-09-05T10:05:37Z
dc.date.available2023-09-05T10:05:37Z
dc.date.issued2022
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn this work, we present a matrix construction for reversible codes derived from skew dihedral group rings. By employing this matrix construction, the ring Fj,k and its associated Gray maps, we show how one can construct reversible codes of length n(2j+k )over the finite field F-4. As an application, we construct a number of DNA codes that satisfy the Hamming distance, the reverse, the reverse-complement, and the GC-content constraints with better parameters than some good DNA codes in the literature.
dc.identifier.citationDougherty,S.T., Korban,A. Şahinkaya,S. ve Üstün, D. (2022). DNA codes from skew dihedral group ring. Advances in Mathematics of Communications. 1-17.
dc.identifier.doi10.3934/amc.2022076
dc.identifier.scopus2-s2.0-85196917844
dc.identifier.urihttps://hdl.handle.net/20.500.13099/179
dc.identifier.wosWOS:000858734400001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
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 rings
dc.subjectskew group rings
dc.subjectDNA codes
dc.subjectlinear codes
dc.subjectdihedral codes
dc.subjectG-codes
dc.titleDNA codes from skew dihedral group ring
dc.typeArticle

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