On the completeness of certain plane arcs

DOI10.1016/S0195-6698(87)80052-5zbMath0645.51010OpenAlexW4210284285MaRDI QIDQ1103188

José Felipe Voloch

Publication date: 1987

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(87)80052-5

zbMATH Keywords

complete k-arc in projective Galois plane

Mathematics Subject Classification ID

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

Related Items (16)

Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search ⋮ Small Complete Caps from Singular Cubics ⋮ Planar arcs ⋮ Cubic curves, finite geometry and cryptography ⋮ On MDS elliptic codes ⋮ A full classification of the complete k‐arcs of PG(2,23) and PG(2,25) ⋮ Small complete caps from singular cubics. II ⋮ Infinite family of large complete arcs in PG\((2, q ^{n })\), with \(q\) odd and \(n > 1\) odd ⋮ Existence of canonically inherited arcs in Moulton planes of odd order ⋮ Arcs and tensors ⋮ The complete k-arcs of PG(2, 27) and PG(2, 29) ⋮ On the completeness of certain plane arcs. II ⋮ Small complete arcs in \(PG(2,p)\) ⋮ The packing problem in statistics, coding theory and finite projective spaces ⋮ On plane arcs contained in cubic curves ⋮ 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 intricacy of combinatorial construction problems
• Arcs in projective planes over prime fields
• Sur Les K-Arcs Complets Des Plans De Galois D'Ordre Impair
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