2000 character limit reached
Skew Cyclic codes over $\F_q+u\F_q+v\F_q+uv\F_q$ (1504.07831v1)
Published 29 Apr 2015 in cs.IT and math.IT
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 $R.$