Complete arcs on the parabolic quadric Q\((4,q)\)

DOI10.1016/j.ffa.2007.09.002zbMath1137.51008OpenAlexW2121301644MaRDI QIDQ2469465

Jan De Beule, András Gács

Publication date: 6 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2007.09.002

zbMATH Keywords

generalized quadranglemaximal arcparabolic quadric

Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21)

Related Items (8)

Substructures in finite classical polar spaces ⋮ On the structure of the directions not determined by a large affine point set ⋮ On large maximal partial ovoids of the parabolic quadric \(Q(4,q)\) ⋮ Tight sets in finite classical polar spaces ⋮ Partial ovoids and partial spreads in symplectic and orthogonal polar spaces ⋮ On minimum size blocking sets of the outer tangents to a hyperbolic quadric in \(\operatorname{PG}(3, q)\) ⋮ The Known Maximal Partial Ovoids of Size of ⋮ Regular graphs constructed from the classical generalized quadrangle Q(4, q)

Cites Work

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• Bounds on partial ovoids and spreads in classical generalized quadrangles
• On the number of slopes of the graph of a function defined on a finite field
• The number of directions determined by a function over a finite field.
• On a particular class of minihypers and its applications. III: Applications
• Maximal partial spreads of \(T_2(\mathcal O)\) and \(T_3(\mathcal O)\)
• On the number of directions determined by a set of points in an affine Galois plane
• Searching for maximal partial ovoids and spreads in generalized quadrangles
• On ovoids of parabolic quadrics
• On the graph of a function in two variables over a finite field

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