Alsuraiheed, TurkiÖztaş, Elif SegahAli, ShakirYılgör, Merve Bulut2023-11-022023-11-022023Alsuraiheed, 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), 27762-27774.2473-6988https://hdl.handle.net/20.500.12939/4207Let 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.eninfo:eu-repo/semantics/closedAccessDNA CodeR-Glifted PolynomialReversible CodeArticle81127762277742-s2.0-85173210676WOS:001085173400006