Nuclei and automorphism groups of generalized twisted Gabidulin codes
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Publication:2419057
DOI10.1016/j.laa.2019.04.010zbMath1423.51006arXiv1611.04447OpenAlexW2560968989WikidataQ128062790 ScholiaQ128062790MaRDI QIDQ2419057
Publication date: 29 May 2019
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.04447
Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)
Related Items (4)
On the number of inequivalent Gabidulin codes ⋮ New semifields and new MRD codes from skew polynomial rings ⋮ Scattered subspaces and related codes ⋮ Puncturing maximum rank distance codes
Cites Work
- Unnamed Item
- Unnamed Item
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- Non-linear maximum rank distance codes
- A new family of linear maximum rank distance codes
- Algebraic structures of MRD codes
- Explicit constructions of some non-Gabidulin linear maximum rank distance codes
- Automorphism groups of Gabidulin-like codes
- Towards the classification of rank 2 semifields 6-dimensional over their center
- Generalized twisted Gabidulin codes
- Theory of codes with maximum rank distance
- On a Kaplansky conjecture concerning three-dimensional division algebras over a finite field
- Bilinear forms over a finite field, with applications to coding theory
- The collineation groups of generalized twisted field planes
- On the classification of semifield flocks.
- On the number of inequivalent Gabidulin codes
- Maximum scattered linear sets and MRD-codes
- On the genericity of maximum rank distance and Gabidulin codes
- A new family of MRD-codes
- New maximum scattered linear sets of the projective line
- \(n\)-dimensional algebras over a field with a cyclic extension of degree \(n\)
- Orthogonal dual hyperovals, symplectic spreads, and orthogonal spreads
- Non-linear maximum rank distance codes in the cyclic model for the field reduction of finite geometries
- On kernels and nuclei of rank metric codes
- New criteria for MRD and Gabidulin codes and some rank-metric code constructions
- Maximum scattered \(\mathbb{F}_q\)-linear sets of \(\mathrm{PG}(1,q^4)\)
- On the nuclei of a finite semifield
- Additive Rank Metric Codes
- Equivalence for Rank-Metric and Matrix Codes and Automorphism Groups of Gabidulin Codes
- Coding for Errors and Erasures in Random Network Coding
- A New Family of MRD Codes in <inline-formula> <tex-math notation="LaTeX">$\mathbb{F_q}^{2n\times2n}$ </tex-math> </inline-formula> With Right and Middle Nuclei <inline-formula> <tex-math notation="LaTeX">$\mathbb F_{q^n}$ </tex-math> </inline-formula>
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