Reversible codes and applications to DNA codes over (F42t[u]/(u2 - 1)

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dc.contributor.authorAlsuraiheed, Turki
dc.contributor.authorÖztaş, Elif Segah
dc.contributor.authorAli, Shakir
dc.contributor.authorYılgör, Merve Bulut
dc.date.accessioned2023-11-02T12:58:49Z
dc.date.available2023-11-02T12:58:49Z
dc.date.issued2023en_US
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Temel Bilimler Bölümüen_US
dc.description.abstractLet n ≥ 1 be a fixed integer. Within this study, we present a novel approach for discovering reversible codes over rings, leveraging the concept of r-glifted polynomials. This technique allows us to achieve optimal reversible codes. As we extend our methodology to the domain of DNA codes, we establish a correspondence between 4t-bases of DNA and elements within the ring (formula presented). By employing a variant of r-glifted polynomials, we successfully address the challenges of reversibility and complementarity in DNA codes over this specific ring. Moreover, we are able to generate reversible and reversible-complement DNA codes that transcend the limitations of being linear cyclic codes generated by a factor of xn − 1.en_US
dc.identifier.citationAlsuraiheed, T., Öztaş, E. S., Ali, S., & Yılgör, M. B. (2023). Reversible codes and applications to DNA codes over (F42t[u]/(u2 - 1). AIMS Mathematics, 8(11), 27762-27774.en_US
dc.identifier.endpage27774en_US
dc.identifier.issn2473-6988
dc.identifier.issue11en_US
dc.identifier.scopus2-s2.0-85173210676
dc.identifier.startpage27762en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12939/4207
dc.identifier.volume8en_US
dc.identifier.wosWOS:001085173400006
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYılgör, Merve Bulut
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofAIMS Mathematics
dc.relation.isversionof10.3934/math.20231421en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDNA Codeen_US
dc.subjectR-Glifted Polynomialen_US
dc.subjectReversible Codeen_US
dc.titleReversible codes and applications to DNA codes over (F42t[u]/(u2 - 1)
dc.typeArticle

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