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A small complete arc in \(\text{PG}(2,q)\), \(q=p^2\), \(p\equiv 3\pmod 4\)

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Publication:1808798
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DOI10.1016/S0012-365X(99)00079-5zbMath0943.51009OpenAlexW2010411207MaRDI QIDQ1808798

Emanuela Ughi, Massimo Giulietti

Publication date: 1 February 2000

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(99)00079-5


zbMATH Keywords

projective planeBaer subplanecollineation groupcomplete arc


Mathematics Subject Classification ID

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


Related Items (6)

Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search ⋮ New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane ⋮ On sizes of complete arcs in \(PG(2,q)\) ⋮ Incompleteness of the Giulietti-Ughi arc for large primes ⋮ 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







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