Abstract

In this paper, we defined the ℤq-linear codes and discussed its various parameters. We constructed ℤq-Simplex code and ℤq-MacDonald code. For q is prime power, we have given that ℤq- Simplex code is an ℤq-linear code, where φ(q) is the Euler φ - function. We have given a lower and an upper bounds of its covering radius for q is a prime power.

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