Reversible and Reversible Complement Cyclic codes over a class of non-chain rings

In this paper, necessary and sufficient conditions for a cyclic code of arbitrary length over the non-chain rings $Z_4+\nu Z_4$ for ${\nu }^2\in \{0,1,\nu ,2\nu ,3\nu ,2+\nu ,2+3\nu ,3+2\nu \}$ to be a reversible cyclic code have been established. Also, conditions for a cyclic code over these non-chain rings to be a reversible complement cyclic code which are necessary as well as sufficient have been determined. Some examples of reversible and reversible complement cyclic codes over these rings have also been presented.