## Skew constacyclic codes over a nonchain ring

26th International Conference on Applications on Computer Algebra (ACA-2021), Valladolid, Spain, 23 - 27 July 2021, pp.140-142

• Publication Type: Conference Paper / Summary Text
In this paper, we examine the algebraic structure of the semi-local ring $\mathcal{R}_q=\mathbb{F}_q[v]/\langle v^{2}+1\rangle$ and determine the automorphisms of this ring to study the algebraic structure of the skew constacyclic codes and their dual over this ring. We provide the necessary and sufficient conditions for the existence of the self-dual and self orthogonal skew constacyclic codes. In addition, we give the conditions for the existence of the linear complementary dual skew cyclic codes and skew negacyclic codes.