On cyclic codes over ${\mathbb{Z}}_q+u{\mathbb{Z}}_q$

Jian Gao, Fang-Wei Fu, Ling Xiao +1

Let $R={\mathbb{Z}}_q+u{\mathbb{Z}}_q$, where $q=p^s$ and $u^2=0$. In this paper, some structural properties of cyclic codes over the ring $R$ are considered. A necessary and sufficien…