Ambient spaces of dimensional dual arcs

DOI10.1023/B:JACO.0000022564.51008.63zbMath1086.51009OpenAlexW2042744965MaRDI QIDQ1826914

Yoshiara, Satoshi

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1023/b:jaco.0000022564.51008.63

zbMATH Keywords

dual hyperovalVeroneseandual arc

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45)

Related Items (21)

Bilinear dual hyperovals from binary commutative presemifields ⋮ On some bilinear dual hyperovals ⋮ On dual hyperovals of rank 4 over \({{\mathbb{F}}_2}\) ⋮ Notes on Taniguchi's dimensional dual hyperovals ⋮ On kernels and nuclei of rank metric codes ⋮ On \(d\)-dimensional Buratti-Del Fra type dual hyperovals in \(PG(3d,2)\) ⋮ Bilinear dual hyperovals in the largest ambient spaces ⋮ Dimensional Dual Hyperovals—An Updated Survey ⋮ The automorphism groups of doubly transitive bilinear 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 \(PG(3d,2)\) ⋮ Universal covers of dimensional dual hyperovals ⋮ Dimensional dual hyperovals and APN functions with translation groups ⋮ Orthogonal dual hyperovals, symplectic spreads, and orthogonal spreads ⋮ On a family of dual hyperovals over GF(\(q\)) with \(q\) even ⋮ A new family of dual hyperovals in \(PG(d(d+3)/2,2)\) with \(d\geq 3\) ⋮ Embeddings of Line-Grassmannians of Polar Spaces in Grassmann Varieties ⋮ Dimensional dual hyperovals with doubly transitive automorphism groups ⋮ Some examples of simply connected dual hyperovals. II. ⋮ On d-dual hyperovals in

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• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes
• On a new family of flag-transitive semibiplanes
• New distance regular graphs arising from dimensional dual hyperovals

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