On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\)

In this paper, we defined the \(\mathbb{Z}_q\)-linear codes and discussed its various parameters. We constructed \(\mathbb{Z}_q\)-Simplex code and \(\mathbb{Z}_q\)-MacDonald code and found its parameters. We have given a lower and  an upper bounds of its covering radius for q is an even integer.