A new family of dual hyperovals in \(PG(d(d+3)/2,2)\) with \(d\geq 3\)

DOI10.1016/J.DISC.2007.12.029zbMath1169.51014OpenAlexW2072342616MaRDI QIDQ998538

Hiroaki Taniguchi

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.12.029

zbMATH Keywords

dual hyperoval

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (9)

On \(d\)-dimensional Buratti-Del Fra type dual hyperovals in \(PG(3d,2)\) ⋮ Dimensional Dual Hyperovals—An Updated Survey ⋮ A new construction of the \(d\)-dimensional Buratti-Del Fra dual hyperoval ⋮ A unified description of four simply connected dimensional dual hyperovals ⋮ Some examples of simply connected dual hyperovals ⋮ New dimensional dual hyperovals, which are not quotients of the classical dual hyperovals ⋮ Quotients of the deformation of Veronesean dual hyperoval in \(PG(3d,2)\) ⋮ On automorphisms of some \(d\)-dimensional dual hyperovals in \(PG(d(d + 3)/2\), 2) ⋮ Some examples of simply connected dual hyperovals. II.

Cites Work

• Notes on Taniguchi's dimensional dual hyperovals
• Dimensional dual hyperovals associated with Steiner systems
• On a family of dual hyperovals over GF(\(q\)) with \(q\) even
• Ambient spaces of dimensional dual arcs
• Semi-Boolean Steiner quadruple Systems and dimensional dual hyperovals
• Characterizations of the finite quadric Veroneseans Vn2n

This page was built for publication: A new family of dual hyperovals in \(PG(d(d+3)/2,2)\) with \(d\geq 3\)