In this paper, the quantum codes over F 2 are constructed by using the cyclic codes over A 3 = F 2 +uF 2 +vF 2 +wF 2 +uvF 2 +uwF 2 +vwF 2 +uvwF 2 with u 2 = u, v 2 = v, w 2 = w, uv = vu, uw = wu, vw = wv.Moreover, the parameters of quantum codes over F 2 are determined.