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Let $q$ be a power of a prime $p$. In this paper, we study reversible cycliccodes of arbitrary length over the ring $ R = \mathbb{F}_q + u \mathbb{F}_q$,where $u^2=0 mod q$. First, we find a unique set of generators for cyclic codesover $R$, followed by a classification of reversible cyclic codes with respectto their generators. Also, under certain conditions, it is shown that dual ofreversible cyclic code is reversible over $\mathbb{Z}_2+u\mathbb{Z}_2$.Further, to show the importance of these results, some examples of reversiblecyclic codes are provided.

Reversible cyclic codes over $\mathbb{F}_q + u \mathbb{F}_q$