Quantum Codes Over F 2 + uF 2 + vF 2

In this paper, it was constructed quantum codes from cyclic codes over finite ring S = F2 + uF2 + vF2, u2 = u, v2 = v, uv = vu = 0 for arbitrary length n. It was given a new Gray map Ψ which is both an isometry and weight preserving map. It was shown that C is self orthogonal codes over S, so is Ψ(C). It was given a necessary and sufficient condition for cyclic codes over S that contains its dual and it was determined the parameters of quantum codes which are obtained from cyclic codes over S.

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