Cyclic codes over the ring ${\mathbb{Z}}_p[u,v]/⟨u^2,v^2,uv-vu⟩$

Pramod Kumar Kewat, Bappaditya Ghosh, Sukhamoy Pattanayak

Let $p$ be a prime number. In this paper, we study cyclic codes over the ring ${\mathbb{Z}}_p[u,v]/⟨u^2,v^2,uv-vu⟩$. We find a unique set of generators for these codes. We a…