The \(m\)-ovoids of \(\mathcal{W}(5, 2)\) and their generalizations

DOI10.1016/j.ffa.2022.102098zbMath1498.51008OpenAlexW4292771389WikidataQ113874181 ScholiaQ113874181MaRDI QIDQ2081333

Michela Ceria, Francesco Pavese

Publication date: 12 October 2022

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2022.102098

zbMATH Keywords

\(m\)-ovoidelliptic quadricsymplectic polar space

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22) Combinatorial structures in finite projective spaces (51E20) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (2)

Orbits of the class \(\mathcal{O}_6\) of lines external to the twisted cubic in \(\mathrm{PG}(3, q)\) ⋮ Incidence matrices for the class \({\mathcal{O}}_6\) of lines external to the twisted cubic in \(\mathrm{PG}(3,q)\)

Uses Software

• Magma
• Gurobi

Cites Work

• Unnamed Item
• Intriguing sets of \(\mathcal{W}(5,q)\), \(q\) even
• On \(m\)-ovoids of symplectic polar spaces
• Ovoids and spreads of finite classical polar spaces
• \(m\)-systems of polar spaces
• The Magma algebra system. I: The user language
• On intriguing sets of finite symplectic spaces
• On regular systems of finite classical polar spaces
• Tight sets and \(m\)-ovoids of generalised quadrangles
• Constructions of intriguing sets of polar spaces from field reduction and derivation
• Tight sets and \(m\)-ovoids of finite polar spaces
• On \(m\)-ovoids of \({\mathcal W}_3 (q)\)
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• General Galois Geometries
• The Geometry of Two-Weight Codes

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