An Overview on Skew Constacyclic Codes and their Subclass of LCD Codes

Aicha Batoul , Delphine Boucher (1) , Ranya D Boulanouar

1 IRMAR - Institut de Recherche Mathématique de Rennes

This text is about the derivation of some necessary and sufficient conditions for the equiv-alency between skew constacyclic codes, skew cyclic codes and skew negacyclic codes defined over finite fields. A first characterization of LCD skew constacyclic codes is also given and some constructions of LCD MDS skew cyclic and skew negacyclic codes are derived over F p 2 .

Mots clés: Equivalence; Skew polynomial rings; LCD codes; MDS codes; skew constacyclic codes

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

Aicha Batoul, Delphine Boucher, Ranya D Boulanouar. An Overview on Skew Constacyclic Codes and their Subclass of LCD Codes. Advances in Mathematics of Communications, 2020, ⟨10.3934/amc.2020085⟩. ⟨hal-01898223v2⟩