Ovoids of \(Q(6, q)\) of low degree

DOI10.1007/s10623-024-01388-9MaRDI QIDQ6587205

Nicola Durante, Giovanni Giuseppe Grimaldi, Daniele Bartoli

Publication date: 13 August 2024

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

zbMATH Keywords

ovoidsalgebraic varieties over finite fieldsparabolic quadrics

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Polynomials over finite fields (11T06) Combinatorial structures in finite projective spaces (51E20)

Cites Work

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• The non-existence of ovoids in \(O_ \nu (q)\)
• Ovoids and spreads of finite classical polar spaces
• Ovoids of parabolic spaces
• Improved explicit estimates on the number of solutions of equations over a finite field
• Counting curves over finite fields
• A few more functions that are not APN infinitely often
• \'Etale cohomology, Lefschetz Theorems and Number of Points of Singular Varieties over Finite Fields
• Ovoids and Translation Planes
• Number of Points of Varieties in Finite Fields

Related Items (1)

On the classification of low-degree ovoids of \(Q^+ (5,q)\)

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