On $Z_p{Z}_{p^k}$-additive codes and their duality

Minjia Shi, Rongsheng Wu, Denis S. Krotov

In this paper, two different Gray-like maps from $Z_p^{\alpha }\times Z_{p^k}^{\beta }$, where $p$ is prime, to $Z_p^n$, $n=\alpha +\beta p^{k-1}$, denoted by $\varphi$ and $\Phi$, respectively, are presented. We…