A Note on the Existence of Self-Dual Skew Codes over Finite Fields - Université de Rennes Accéder directement au contenu
Communication Dans Un Congrès Année : 2015

A Note on the Existence of Self-Dual Skew Codes over Finite Fields

Résumé

Conditions on the existence of self-dual θ-codes defined over a finite field IF q are studied for θ automorphism of IF q. When q ≡ 1 (mod 4) it is proven that there always exists a self-dual θ-code in any dimension and that self-dual θ-codes of a given dimension are either all θ-cyclic or all θ-negacyclic. When q ≡ 3 (mod 4), there does not exist a self-dual θ-cyclic code and a necessary and sufficient condition for the existence of self-dual θ-negacyclic codes is given.
Fichier principal
Vignette du fichier
ExistenceSelfDualSkew_HAL.pdf (257.22 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01149707 , version 1 (07-05-2015)

Identifiants

Citer

Delphine Boucher. A Note on the Existence of Self-Dual Skew Codes over Finite Fields. Codes, Cryptology and Information Security, C2SI 2015, May 2015, Rabat, Morocco. pp.228-239, ⟨10.1007/978-3-319-18681-8_18⟩. ⟨hal-01149707⟩
299 Consultations
254 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More