2016/04/12 by Valdebenito, Alexis E. Almendras, Tironi, Andrea Luigi
#FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1604.03617
Let \mathbbFq be a finite field with q elements and denote by θ: \mathbbFq→\mathbbFq an automorphism of \mathbbFq. In this paper, we deal with skew constacyclic codes, that is, linear codes of \mathbbFqn which are invariant under the action of a semi-linear map Φα,θ:\mathbbFqn→\mathbbFqn, defined by Φα,θ(a0,...,an-2, an-1):=(αθ(an-1),θ(a0),...,θ(an-2)) for some α∈\mathbbFq∖\0\ and n≥ 2. In particular, we study some algebraic and geometric properties of their dual codes and we give some consequences and research results on 1-generator skew quasi-twisted codes and on MDS skew constacyclic codes.