Note on the order of magnitude of k for complete k-arcs in PG(2,q)

DOI10.1016/0012-365X(87)90102-6zbMath0623.51005MaRDI QIDQ1091608

Tamás Szőnyi

Publication date: 1987

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

zbMATH Keywords

coniccubic curvecomplete k-arc

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15)

Related Items (12)

Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search ⋮ Space-filling subsets of a normal rational curve ⋮ On planar arcs of size (q+3)∕2 ⋮ New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane ⋮ On sizes of complete arcs in \(PG(2,q)\) ⋮ Small arcs in projective spaces ⋮ On some generalized Fermat curves and chords of an affinely regular polygon inscribed in a hyperbola ⋮ Small complete arcs in \(PG(2,p)\) ⋮ The packing problem in statistics, coding theory and finite projective spaces ⋮ 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 ⋮ Complete caps in AG(3, q) from elliptic curves

Cites Work

• New examples of complete k-arcs in PG(2,q)
• Small complete arcs in Galois planes
• On the sharpness of a theorem of B. Segre
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