Reversible Gk-codes with applications to DNA codes

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dc.authoridhttps://orcid.org/0000-0002-5229-4018
dc.authoridhttps://orcid.org/0000-0002-2084-6260
dc.authorscopusid57206665622
dc.authorscopusid55420759300
dc.authorscopusid36728602600
dc.authorwosidDWJ-0396-2022
dc.authorwosidABB-4228-2020
dc.authorwosidGQB-3301-2022
dc.contributor.authorKorban, Adrian
dc.contributor.authorŞahinkaya, Serap
dc.contributor.authorÜ
dc.date.accessioned2024-07-31T13:27:13Z
dc.date.available2024-07-31T13:27:13Z
dc.date.issued2022
dc.departmentFakülteler, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn this paper, we give a matrix construction method for designing DNA codes that come from group matrix rings. We show that with our construction one can obtain reversible G(k)-codes of length kn, where k, n is an element of N, over the finite commutative Frobenius ring R. We employ our construction method to obtain many DNA codes over F-4 that satisfy the Hamming distance, the reverse, the reverse-complement and the fixed GC-content constraints. Moreover, we improve many lower bounds on the sizes of some known DNA codes and we also give new lower bounds on the sizes of DNA codes of lengths 48, 56, 60, 64 and 72 for some fixed values of the Hamming distance
dc.identifier.citationKorban, A., Şahinkaya, S. ve Ustun, D. (2022). Reversible Gk-codes with applications to DNA codes. Des. Codes Cryptogr. 90, 1679–1694. Erişim adresi :https://doi.org/10.1007/s10623-022-01067-7
dc.identifier.doi10.1007/s10623-022-01067-7
dc.identifier.endpage1694en_US
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85132689977
dc.identifier.scopusqualityN/A
dc.identifier.startpage1679en_US
dc.identifier.urihttps://hdl.handle.net/20.500.13099/307
dc.identifier.volume90en_US
dc.identifier.wosWOS:000815470500001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorŞahinkaya, Serap
dc.institutionauthorÜstün, Deniz
dc.language.isoen
dc.publisherSpringer Link
dc.relation.ispartofDesigns, Codes and Cryptography
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectDNA codes
dc.subjectGroup matrix rings
dc.subjectReversible Gk-codes
dc.subjectDNA
dc.subjectGene encoding
dc.subjectConstruction method
dc.subjectDNA codes
dc.subjectGC contents
dc.subjectGroup matrices
dc.subjectGroup matrix ring
dc.subjectLow bound
dc.subjectmatrix
dc.subjectMatrix rings
dc.subjectReversible Gk-code
dc.titleReversible Gk-codes with applications to DNA codes
dc.typeArticle

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