New Criteria for MRD and Gabidulin Codes and some Rank-Metric Code Constructions
Information Theory
2017-10-04 v3 math.IT
Abstract
In this work we present a new criterion to check if a given rank-metric code is a maximum rank distance (MRD) code. Moreover, we derive a criterion to check if a given MRD code is a generalized Gabidulin code. We then use these results to come up with constructions of linear MRD codes of dimension 2 that are not generalized Gabidulin codes.
Keywords
Cite
@article{arxiv.1507.08641,
title = {New Criteria for MRD and Gabidulin Codes and some Rank-Metric Code Constructions},
author = {Anna-Lena Horlemann-Trautmann and Kyle Marshall},
journal= {arXiv preprint arXiv:1507.08641},
year = {2017}
}