Hyperovals in Desarguesian planes: An update

DOI10.1016/0012-365X(94)00367-RzbMath0861.51006WikidataQ29040828 ScholiaQ29040828MaRDI QIDQ1923479

William E. Cherowitzo

Publication date: 13 May 1997

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

zbMATH Keywords

surveyfinite geometrieshyperovalsDesarguesian planes of even order

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Research exposition (monographs, survey articles) pertaining to geometry (51-02)

Related Items

On the uniqueness of some girth eight algebraically defined graphs ⋮ Infinite families of 3-designs from o-polynomials ⋮ A construction of binary linear codes from Boolean functions ⋮ Bent functions and line ovals ⋮ Planar arcs ⋮ Hyperbent functions from hyperovals ⋮ Hyperovals and bent functions ⋮ Dimensional Dual Hyperovals—An Updated Survey ⋮ Vandermonde sets, hyperovals and Niho bent functions ⋮ Monomial graphs and generalized quadrangles ⋮ Unnamed Item ⋮ Hyperovals in Knuth's binary semifield planes ⋮ On the intersection distribution of degree three polynomials and related topics ⋮ Equivalence classes of Niho bent functions ⋮ Short description of the Lunelli-Sce hyperoval and its automorphism group ⋮ On the classification of hyperovals ⋮ The classification of inherited hyperconics in Hall planes of even order ⋮ Finite Fourier series and ovals in PG(2, 2^h) ⋮ Hyperovals and Fano configurations ⋮ The characterization of cones as pointsets with 3 intersection numbers

Cites Work

• A family of ovals with few collineations
• A new hyperoval in \(PG(2,32)\)
• Ovals in the Desarguesian plane of order 16
• An unusual generalized quadrangle of order sixteen
• Symmetries of arcs
• Classification of hyperovals in \(PG(2,32)\)
• Irregular hyperovals in \(PG(2,64)\)
• A condition for the existence of ovals in PG(2,q), q even
• The Lunelli-Sce hyperoval in \(\text{PG}(2,16)\)
• A tensor product action on \(q\)-clan generalized quadrangles with \(q=2^ e\)
• Hyperovals in PG(2,16)
• Ovals In a Finite Projective Plane
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item