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

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