Journal of Engineering Technology and Applied Sciences, vol.7, no.1, pp.51-60, 2022 (Peer-Reviewed Journal)
In this paper, we investigate the algebraic structure of the non-local ring $mathcal{R}_q = mathbb{F}_q[v]/langle v^{2}+1rangle$ and identify the automorphisms of this ring to study the algebraic structure of the skew cyclic codes and their duals over it.