A remark on 𝔽_q^n-Linear MRD codes

06/29/2021

∙

by   Luca Giuzzi, et al.

∙

0

∙

share

In this note, we provide a description of the elements of minimum rank of a generalized Gabidulin code in terms of Grassmann coordinates. As a consequence, a characterization of linearized polynomials of rank at most n-k is obtained, as well as parametric equations for MRD-codes of distance d=n-k+1.