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New Criteria for MRD and Gabidulin Codes and some Rank-Metric Code Constructions
July 30, 2015 Β· Declared Dead Β· π Advances in Mathematics of Communications
"No code URL or promise found in abstract"
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Authors
Anna-Lena Horlemann-Trautmann, Kyle Marshall
arXiv ID
1507.08641
Category
cs.IT: Information Theory
Citations
81
Venue
Advances in Mathematics of Communications
Last Checked
5 months ago
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.
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