Codes over ℤ4+νℤ4 with respect to Rosenbloom-Tsfasman metric

Weight enumerator is one of the important parameters of a code. The MacWilliams identity for a code is a remarkable result that describes how the weight distribution of a code and that of its dual are related to each other. In this paper we discuss the MacWilliams identity using Lee complete ρ-weight enumerator of codes over the ring of matrices ℳ
_n×s
(R), where R=ℤ
₄
+νℤ
₄
, ν
²
=v, with respect to Rosenbloom-Tsfasman metric. We give a transformation to obtain ρ-weight enumerator of a code from its Lee complete ρ-weight enumerator. Some examples are given.