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.