Quantum Codes From Cyclic Codes Over the Fq

Abstract

In this paper, we give construction of quantum codes over F-q from cyclic codes over the F-q + uF(q) + vF(q) + wF(q) + uvF(q), where u(2) = u, v(2) = v, w(2) = w, uv = uv, uw = wu = vw = wv = 0, q = p(m) and p is an odd prime. We determine the parameters of quantum error correcting codes which constructed from cyclic codes over the F-q + uF(q) + vF(q) + wF(q) +uvF(q). Finally, we give some examples of quantum codes.