A construction of self-dual skew cyclic and negacyclic codes of length $n$ over $\FF_{p^n}$

Aicha Batoul , Delphine Boucher (1) , Ranya Boulanouar

1 IRMAR - Institut de Recherche Mathématique de Rennes

The aim of this note is to give a construction and an enumeration of self-dual θ-cyclic and θ-negacyclic codes of length n over Fpn where p is a prime number and θ is the Frobenius automorphism over Fpn. We use the notion of isodual codes to achieve this construction.

Domaines: Théorie de l'information et codage [math.IT]

Aicha Batoul, Delphine Boucher, Ranya Boulanouar. A construction of self-dual skew cyclic and negacyclic codes of length $n$ over $\FF_{p^n}$. WAIFI 2020: Arithmetic of Finite Fields, Jul 2020, RENNES, France. ⟨hal-02904416⟩