Rank and pairs of Rank and Dimension of Kernel of ${\mathbb{Z}}_p{\mathbb{Z}}_{p^2}$-linear codes

Xiaoxiao Li, Minjia Shi, Shukai Wang

A code $C$ is called ${\mathbb{Z}}_p{\mathbb{Z}}_{p^2}$-linear if it is the Gray image of a ${\mathbb{Z}}_p{\mathbb{Z}}_{p^2}$-additive code. For any prime number $p$ larger than $3$, the…