A family of \(d\)-dimensional dual hyperovals in \(PG(2d+1,2)\)
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Publication:1306935
DOI10.1006/eujc.1999.0306zbMath0937.51009OpenAlexW2059654096MaRDI QIDQ1306935
Publication date: 25 May 2000
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/eujc.1999.0306
Related Items (21)
Dimensional dual hyperovals in classical polar spaces ⋮ Notes on APN functions, semibiplanes and dimensional dual hyperovals ⋮ On an isomorphism problem of some dual hyperovals in \(\mathrm{PG} (2 d + 1, q )\) with \(q\) even ⋮ Equivalences of power APN functions with power or quadratic APN functions ⋮ On dual hyperovals of rank 4 over \({{\mathbb{F}}_2}\) ⋮ Notes on Taniguchi's dimensional dual hyperovals ⋮ Dimensional Dual Hyperovals—An Updated Survey ⋮ Doubly transitive, bilinear dimensional dual hyperovals: the conclusion ⋮ Some examples of simply connected dual hyperovals ⋮ Some doubly transitive bilinear dual hyperovals and their ambient spaces ⋮ Quotients of the deformation of Veronesean dual hyperoval in \(PG(3d,2)\) ⋮ On the dual of the dual hyperoval from APN function \(f(x)=x^3+\mathrm{Tr}(x^9)\) ⋮ A characterization of a class of dimensional dual hyperovals with doubly transitive automorphism groups and its applications ⋮ Dimensional dual hyperovals and APN functions with translation groups ⋮ Distance regular graphs arising from dimensional dual hyperovals ⋮ Orthogonal dual hyperovals, symplectic spreads, and orthogonal spreads ⋮ Dimensional dual hyperovals with doubly transitive automorphism groups ⋮ Some examples of simply connected dual hyperovals. II. ⋮ Doubly transitive dimensional dual hyperovals: universal covers and non-bilinear examples ⋮ On the duals of certain \(d\)-dimensional dual hyperovals in \(\mathrm{PG}(2d+1,2)\) ⋮ \(d\)-dimensional dual hyperovals in \(PG(d+n,2)\) for \(d+1 \leq n \leq 3d-7\)
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