Some constructions and existence conditions for Hermitian self-dual skew codes

D Boucher (1) , E K Nouetowa (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

In this text, we first consider the existence conditions and the construction of Hermitian self-dual θ-cyclic and θ-negacyclic codes over Fp2 , where p is a prime number and θ is the Frobenius automorphism over Fp2. We then give necessary and sufficient conditions for the existence of Hermitian self-dual θ-cyclic and θ-negacyclic codes over Fpe where e is an even integer greater than 2.

Mots clés: skew polynomial ring; coding theory; duality

Domaines: Mathématiques [math]

D Boucher, E K Nouetowa. Some constructions and existence conditions for Hermitian self-dual skew codes. 2023. ⟨hal-04344803⟩