On minimum size blocking sets of the outer tangents to a hyperbolic quadric in \(\operatorname{PG}(3, q)\)

DOI10.1016/J.FFA.2018.11.002zbMath1407.05041OpenAlexW2901784589MaRDI QIDQ1734662

Binod Kumar Sahoo, Bart De Bruyn

Publication date: 27 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.11.002

zbMATH Keywords

projective spaceovoidconicblocking sethyperbolic quadric

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21)

Uses Software

• GAP
• SageMath

Cites Work

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• On minimum size blocking sets of external lines to a quadric in \(\text{PG}(3, q)\)
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• On blocking sets of external lines to a hyperbolic quadric in PG\((3,q), \, q\) even
• Bruck's vision of regular spreads or what is the use of a Baer superspace?
• Nonexistence of complete \((st-t/s)\)-arcs in generalized quadrangles of order \((s,t)\). I
• Blocking sets of tangent and external lines to a hyperbolic quadric in \(\mathrm{PG}(3, q)\)
• Blocking sets of tangent and external lines to a hyperbolic quadric in \(\mathrm{PG}(3,q)\), \(q\) even
• Maximal partial spreads of \(T_2(\mathcal O)\) and \(T_3(\mathcal O)\)
• Blocking sets of certain line sets related to a hyperbolic quadric in \(\mathrm{PG}(3, q)\)
• Complete arcs on the parabolic quadric Q\((4,q)\)
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes

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