Skew Cyclic codes over $\F_q+u\F_q+v\F_q+uv\F_q$

Abstract

In this paper, we study skew cyclic codes over the ring $R=\F_q+u\F_q+v\F_q+uv\F_q$, where $u^2=u,v^2=v,uv=vu$, $q=p^m$ and $p$ is an odd prime. We investigate the structural properties of skew cyclic codes over $R$ through a decomposition theorem. Furthermore, we give a formula for the number of skew cyclic codes of length $n$ over $R.$

References in corpus (1)

• Sixteen New Linear Codes With Plotkin Sum