Skew-Constacyclic Codes Over F_q [v]/ ‹ v^q -v ›,
Auteur(s): Joël Kabore, Alexandre Fotue-Tabue, Kenza Guenda, Mohammed E. Charkani
Auteur(s) tagués: Joël KABORE ;
Résumé

In this paper, we investigate the algebraic structure of the
non-chain ring F_q [v]/ ‹ v^q -v › , followed by the description of its
group automorphisms to get the algebraic structure of codes and their
dual over this ring. Further, we explore the algebraic structure of
skew-constacyclic codes by showing that their images by a linear Gray
map are skew-multi-twisted codes and determine their generator
polynomials. Finally, we characterize self-dual skew-constacyclic
codes over F_q [v]/ ‹ v^q -v › , and give conditions on the existence
of self-dual skew cyclic and self-dual skew negacyclic codes over F_q [v]/ ‹ v^q -v ›

Mots-clés

non-chain ring skew-constacyclic codes Gray map self-dual skew codes

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