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A condition for the existence of ovals in PG(2,q), q even

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Publication:1825432
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DOI10.1007/BF00147433zbMath0684.51009OpenAlexW2022697667MaRDI QIDQ1825432

David G. Glynn

Publication date: 1989

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00147433


zbMATH Keywords

hyperovalpermutation polynomialoval


Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)


Related Items (16)

Infinite families of 3-designs from o-polynomials ⋮ A construction of binary linear codes from Boolean functions ⋮ Linearly small elation quadrangles ⋮ \(k\)-arcs and partial flocks ⋮ Hyperovals in PG(2,16) ⋮ On the classification of geometric codes by polynomial functions ⋮ Hyperovals in Desarguesian planes: An update ⋮ Vandermonde sets, hyperovals and Niho bent functions ⋮ On monomial graphs of girth eight ⋮ A new hyperoval in \(PG(2,32)\) ⋮ Proof of a conjecture of Segre and Bartocci on monomial hyperovals in projective planes ⋮ On the classification of hyperovals ⋮ \(\alpha\)-flocks with oval herds and monomial hyperovals ⋮ On ovoids of PG(3, q) ⋮ The Lunelli-Sce hyperoval in \(\text{PG}(2,16)\) ⋮ \(k\)-arcs and dual \(k\)-arcs




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