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On small dense arcs in Galois planes of square order

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Publication:1394815
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DOI10.1016/S0012-365X(02)00607-6zbMath1023.51008OpenAlexW2003543155MaRDI QIDQ1394815

Massimo Giulietti, Giorgio Faina

Publication date: 25 June 2003

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(02)00607-6


zbMATH Keywords

complete arcsfinite Pappian planes


Mathematics Subject Classification ID

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


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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 \(PG(2,q)\) ⋮ New inductive constructions of complete caps inPG(N, q),qeven ⋮ On defining sets for projective planes ⋮ Upper bounds on the smallest size of a complete arc in \(\mathrm{PG}(2, {q})\) under a certain probabilistic conjecture



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