The automorphism group of a linear space with the Rosenbloom–Tsfasman metric

Let Mats×n(Fq) be the linear space of all s×n matrices over the finite field Fq, equipped with the new metric introduced by Rosenbloom and Tsfasman. We determine the full group of weight-preserving linear automorphisms of Mats×n(Fq) with the Rosenbloom–Tsfasman metric.