International E-Conference on Pure and Applied Mathematical Sciences (ICPAMS-2022), Sfax, Tunus, 4 - 07 Mayıs 2022, ss.18-23
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.