Quantum codes from cyclic codes over F3 mF3 uF3 mu F3
In this paper, it will be argued that structure of cyclic codes over F3 mF3 uF3 mu F3 where u 2 1, v 2 1 and uv vu for arbitrary length n. We define a new Gray map which is a distance preserving map. By using decomposition theory, we find generator polynomials of cyclic codes over F3 mF3 uF3 mu F3 and obtain the result that cyclic codes over F3 mF3 uF3 mu F3 are principally generated. Further, using these results we determine the parameters of quantum codes which constructed from cyclic codes over F3 mF3 uF3 mu F3. We present some of the results of computer search.