Quantum Codes From Cyclic Codes Over The Ring R2

Let R-2 denotes the ring F-2 + uF(2) + v(2) + uvF(2) + wF(2) + uwF(2) + vwF(2) + uvwF(2). In this study, we construct quantum codes from cyclic codes over the ring R-2; for arbitrary length n; with the restrictions u(2) = 0, v(2) = 0, w(2) = 0, uv = vu, uw = wu, vw = wv and u (vw) = (uv)w. Also, we give a necessary and sufficient condition for cyclic codes over R-2 that contains its dual. As a final point, we obtain the parameters of quantum error-correcting codes from cyclic codes over R-2 and we give an example of quantum error-correcting codes form cyclic codes over R-2.