Reversible codes and applications to DNA codes over (F42t[u]/(u2 - 1)
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
American Institute of Mathematical Sciences
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let 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.
Açıklama
Anahtar Kelimeler
DNA Code, R-Glifted Polynomial, Reversible Code
Kaynak
AIMS Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
8
Sayı
11
Künye
Alsuraiheed, 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.
