The minimal number of lines intersected by a set of \(q+2\) points, blocking sets, and intersecting circles

DOI10.1016/0097-3165(89)90023-XzbMath0682.51003OpenAlexW2030416545MaRDI QIDQ1824202

Aiden A. Bruen, Aart Blokhuis

Publication date: 1989

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(89)90023-x

zbMATH Keywords

projective planenumber of lines

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) General theory of linear incidence geometry and projective geometries (51A05)

Related Items (14)

Erdős-Ko-Rado theorems for ovoidal circle geometries and polynomials over finite fields ⋮ Small Kakeya sets in non-prime order planes ⋮ Two-graphs and skew two-graphs in finite geometries ⋮ Intersection distribution, non-hitting index and Kakeya sets in affine planes ⋮ On the stability of sets of even type ⋮ On the minimum number of points covered by a set of lines in \(\mathrm{PG}(2,q)\) ⋮ Minimal Kakeya Sets ⋮ On bisecants of Rédei type blocking sets and applications ⋮ The Kakeya problem: a gap in the spectrum and classification of the smallest examples ⋮ Characterization of seminuclear sets in a finite projective plane ⋮ On Segre's lemma of tangents ⋮ A note on large Kakeya sets ⋮ The small Kakeya sets in T2*(C), C a conic ⋮ On sets of points with few odd secants

Cites Work

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• On semi ovals and semi ovoids
• Blocking Sets in Desarguesian Projective Planes
• Note on (q+2)-Sets in A Galois Plane of Order q
• On Minimum Blocking Coalitions in Small Projective Plane Games
• Blocking Sets in Finite Projective Planes

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