On self-dual MRD codes
Gabriele Nebe, Wolfgang Willems
TL;DR
This paper investigates the automorphism groups of Gabidulin codes and characterizes conditions under which these codes are equivalent to self-dual codes, contributing to the understanding of their symmetry and duality properties.
Contribution
It provides a complete description of automorphism groups of full-length Gabidulin codes and identifies criteria for their equivalence to self-dual codes.
Findings
Automorphism groups of Gabidulin codes are fully characterized.
Conditions for Gabidulin codes to be equivalent to self-dual codes are established.
The results enhance understanding of code symmetry and duality in rank-metric codes.
Abstract
We determine the automorphism group of Gabidulin codes of full length and characterise when these codes are equivalent to self-dual codes.
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · graph theory and CDMA systems