Small complete arcs in \(PG(2,p)\)

DOI10.1006/ffta.1998.0229zbMath0929.51006OpenAlexW1971795835MaRDI QIDQ1284207

Éva Hadnagy

Publication date: 23 January 2000

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1998.0229

zbMATH Keywords

complete arcs3-independent sets

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 ⋮ Small complete caps from singular cubics. II ⋮ On the maximality of linear codes ⋮ Upper bounds on the smallest size of a complete arc in \(\mathrm{PG}(2, {q})\) under a certain probabilistic conjecture

Cites Work

• Small complete arcs in Galois planes
• Note on the order of magnitude of k for complete k-arcs in PG(2,q)
• On the completeness of certain plane arcs
• Ovali ed altre curve nei piani di Galois di caratteristica due
• The distribution of rational points on hypersurfaces defined over a finite field
• The Number of Solutions of Congruences in Incomplete Residue Systems
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