Negacyclic codes of odd length over the ring ${\mathbb{F}}_p[u,v]/⟨u^2,v^2,uv-vu⟩$

Abstract

We discuss the structure of negacyclic codes of odd length over the ring ${\mathbb{F}}_p[u,v]/⟨u^2,v^2,uv-vu⟩$. We find the unique generating set, the rank and the minimum distance for these negacyclic codes.

References in corpus (1)

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