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