A remark on ${\mathbb F}_{q^n}$-Linear MRD codes
Information Theory
2022-03-15 v2 Combinatorics
math.IT
Abstract
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 is obtained, as well as parametric equations for MRD-codes of distance .
Keywords
Cite
@article{arxiv.2106.15708,
title = {A remark on ${\mathbb F}_{q^n}$-Linear MRD codes},
author = {Luca Giuzzi and Guglielmo Lunardon},
journal= {arXiv preprint arXiv:2106.15708},
year = {2022}
}
Comments
The results are not relevant enough in light of previous literature