ARTICLE
Construction of DNA codes using θ-skew cyclic codes over F4 + vF4.
- Advances and Applications in Discrete Mathematics , 42 (8) : 737-755
Lien de l'article :
https://doi.org/10.17654/0974165825047
Discipline :
Mathématiques
Auteur(s) :
Joël KABORE, Mohammed Elhassani CHARKANI
Auteur(s) tagués :
KABORE Joël
Renseignée par : KABORE Joël
Résumé
In this paper, we determine the structure of θ-skew cyclic codes over the ring R=F_4+v F_4, where v^2=v and θ is a non-trivial automorphism over F_4+v F_4. Using a correspondence between R and DNA 2-bases, we characterize θ-skew cyclic reversible DNA codes and θ-skew cyclic reversible-complement DNA codes over this ring. We also derive the Gray images of θ-skew cyclic codes.
Mots-clés
θ-skew cyclic codes, non-chain rings, Gray map, reversible codes, DNA codes.