On the spectrum of the sizes of semiovals in PG\((2,q), q\) odd

DOI10.1016/j.disc.2009.07.024zbMath1228.05104OpenAlexW2049746826MaRDI QIDQ712236

Fernanda Pambianco, Stefano Marcugini, György Kiss

Publication date: 28 October 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.07.024

zbMATH Keywords

projective planessemiovals

Mathematics Subject Classification ID

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

Related Items (7)

A minimum blocking semioval in \(\mathrm{PG}(2, 9)\) ⋮ On the Structure of Semiovals of Small Size ⋮ On the minimum blocking semioval in \(\mathrm{PG}(2,11)\) ⋮ On the spectrum of sizes of semiovals contained in the Hermitian curve ⋮ On the minimum size of complete arcs and minimal saturating sets in projective planes ⋮ On bisecants of Rédei type blocking sets and applications ⋮ The non-existence of some NMDS codes and the extremal sizes of complete \((n,3)\)-arcs in \(\mathrm{PG}(2,16)\)

Cites Work

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• Random constructions and density results
• Sets in a finite plane with few intersection numbers and a distinguished point
• Note on the existence of large minimal blocking sets in Galois planes
• Some blocking semiovals which admit a homology group
• Semiovals with large collinear subsets
• On semi ovals and semi ovoids
• Characterization of seminuclear sets in a finite projective plane
• Small semiovals in \(PG(2, q)\)
• On regular semiovals in \(PG(2,q)\)
• Blocking Semiovals of Type (1,m+1,n+1)
• CLIQUE NUMBERS OF PALEY GRAPHS
• Two addition theorems

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