On Linear Codes Over a Non-Chain Ring

In this paper, we study skew cyclic and quasi cyclic codes over the ring S = F2 +uF2 + vF2 where u2 = u, v2 = v, uv = vu = 0.We investigate the structural properties of them. Using a Gray map on S we obtain the MacWilliams identities for codes over S. The relationships between Symmetrized, Lee and Hamming weight enumerator are determined