In this paper skew cyclic codes over the the family of rings Fq +vFq with v 2 = v are studied for the first time in its generality. Structural properties of skew cyclic codes over Fq + vFq are investigated through a decomposition theorem. It is shown that skew cyclic codes over this ring are principally generated. The idempotent generators of skew-cyclic codes over Fq and Fq +vFq have been considered for the first time in literature. Moreover, a BCH type bound is presented for the parameters of these codes.

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In this study we determine the structure of reversible DNA codes obtained from skew cyclic codes. We show that the generators of such DNA codes enjoy some special properties. We study the structural properties of such family of codes and we also illustrate our results with examples.

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