On self-dual MRD codes

DOI10.3934/AMC.2016031zbMath1348.94100arXiv1505.07237OpenAlexW2191173080MaRDI QIDQ326346

Gabriele Nebe, Wolfgang Willems

Publication date: 12 October 2016

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07237

zbMATH Keywords

automorphism groupGabidulin codeself-dual maximum rank distance codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

Related Items (7)

Self-duality of generalized twisted Gabidulin codes ⋮ Algebraic structures of MRD codes ⋮ Automorphism groups of Gabidulin-like codes ⋮ On dually almost MRD codes ⋮ How to obtain lattices from \((f,\sigma,\delta)\)-codes via a generalization of construction A ⋮ A construction of self-dual skew cyclic and negacyclic codes of length \(n\) over \(\mathbb{F}_{p^n}\) ⋮ On the list decodability of self-orthogonal rank-metric codes

Cites Work

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• Rank-metric codes and their duality theory
• A new family of linear maximum rank distance codes
• An enumeration of the equivalence classes of self-dual matrix codes
• Theory of codes with maximum rank distance
• Bilinear forms over a finite field, with applications to coding theory
• Equivalence for Rank-Metric and Matrix Codes and Automorphism Groups of Gabidulin Codes
• Isometries for rank distance and permutation group of gabidulin codes
• Factorization of Symmetric Matrices and Trace-Orthogonal Bases in Finite Fields
• Endliche Gruppen I

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