On self-dual MRD codes
From MaRDI portal
Publication:326346
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
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
- Unnamed Item
- 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
This page was built for publication: On self-dual MRD codes