A remark on ๐”ฝ_q^n-Linear MRD codes

06/29/2021
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by   Luca Giuzzi, et al.
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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.

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