A new family of MRD codes in ${\mathbb{F}}_q^{2n\times 2n}$ with right and middle nuclei ${\mathbb{F}}_{q^n}$

Rocco Trombetti, Yue Zhou

In this paper, we present a new family of maximum rank distance (MRD for short) codes in ${\mathbb{F}}_q^{2n\times 2n}$ of minimum distance $2\le d\le 2n$. In particular, when $d=…