2021/06/29 by Giuzzi, Luca, Lunardon, Guglielmo
#15A75 #94B27 #Combinatorics (math.CO) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT)
paper · doi:10.48550/arxiv.2106.15708
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.