Code distances of matrix rank-metric codes under Add-and-Remove transformations

Gianira N. Alfarano, Rakhi Pratihar, Adrien Vinçotte

For a matrix rank-metric code $\mathcal{C}$ and an integer $i$, the $i$-th subcode distance of $\mathcal{C}$ is the largest minimum rank distance of an $i$-dimensional subcode of $…