Codes over ℤ4+νℤ4 with respect to Rosenbloom-Tsfasman metric
Ramakrishna Bandi, Maheshanand Bhaintwal · 2013
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 ℳn×s(R), where R=ℤ4+νℤ4, ν2=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.