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On small complete arcs in a finite plane

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Publication:1377818
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DOI10.1016/S0012-365X(96)00315-9zbMath0891.51006MaRDI QIDQ1377818

Simeon Ball

Publication date: 12 June 1998

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


zbMATH Keywords

blocking setsmall complete arc


Mathematics Subject Classification ID

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


Related Items (8)

Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search ⋮ Concentration of non‐Lipschitz functions and applications ⋮ On Small Complete Arcs and Transitive A5-Invariant Arcs in the Projective Plane PG(2,q) ⋮ New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane ⋮ Minimal multiple blocking sets ⋮ Lower and upper bounds for some generalized arcs ⋮ New types of estimates for the smallest size of complete arcs in a finite Desarguesian projective plane ⋮ Upper bounds on the smallest size of a complete arc in \(\mathrm{PG}(2, {q})\) under a certain probabilistic conjecture



Cites Work

  • New examples of complete k-arcs in PG(2,q)
  • On the size of a blocking set in \(\text{PG}(2,p)\)
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