Dimensional Dual Hyperovals—An Updated Survey
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Publication:6094928
DOI10.1007/978-981-19-3898-6_9OpenAlexW4312565236MaRDI QIDQ6094928
Publication date: 15 September 2023
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-981-19-3898-6_9
automorphism groupsdimensional dual hyperovalsuniversal coversbilinear dual hyperovalsquotients of hyperovals
Blocking sets, ovals, (k)-arcs (51E21) Research exposition (monographs, survey articles) pertaining to geometry (51-02)
Cites Work
- Isomorphisms and automorphisms of extensions of bilinear dimensional dual hyperovals and quadratic APN functions
- Dimensional dual hyperovals in classical polar spaces
- Bilinear dual hyperovals from binary commutative presemifields
- On some bilinear dual hyperovals
- New quotients of the \(d\)-dimensional Veronesean dual hyperoval in \(\mathrm{PG}(2d + 1, 2)\)
- A new construction of the \(d\)-dimensional Buratti-Del Fra dual hyperoval
- New dimensional dual hyperovals, which are not quotients of the classical dual hyperovals
- Some doubly transitive bilinear dual hyperovals and their ambient spaces
- Symmetric doubly dual hyperovals have an odd rank
- Universal covers of dimensional dual hyperovals
- On \(d\)-dimensional Buratti-Del Fra type dual hyperovals in \(PG(3d,2)\)
- 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 variation of the dual hyperoval \(\mathcal{S}_c\) using presemifields
- Some examples of simply connected dual hyperovals. II.
- The classification of the translation planes of order 16. I
- Notes on Taniguchi's dimensional dual hyperovals
- Almost perfect and planar functions
- A characterization of a class of dimensional dual hyperovals with doubly transitive automorphism groups and its applications
- On some \(d\)-dimensional dual hyperovals in \(\text{PG}(2d,2)\)
- On \(d\)-dimensional dual hyperovals in PG\((2d,2)\)
- Dimensional dual hyperovals associated with quadratic APN functions
- A new family of dual hyperovals in \(PG(d(d+3)/2,2)\) with \(d\geq 3\)
- Dimensional dual hyperovals with doubly transitive automorphism groups
- On automorphisms of some \(d\)-dimensional dual hyperovals in \(PG(d(d + 3)/2\), 2)
- On some \(d\)-dimensional dual hyperovals in \(PG(d(d+3)/2,2\))
- On the duals of certain \(d\)-dimensional dual hyperovals in \(\mathrm{PG}(2d+1,2)\)
- A family of \(d\)-dimensional dual hyperovals in \(PG(2d+1,2)\)
- Commutative semifields and symplectic spreads.
- Flag-transitive extensions of dual affine spaces
- On generalized \(k\)-arcs in \( \mathbb{PG} (2n,q)\)
- Bilinear dual hyperovals from binary commutative presemifields. II.
- Bilinear dual hyperovals in the largest ambient spaces
- The automorphism groups of doubly transitive bilinear dual hyperovals
- The non-solvable doubly transitive dimensional dual hyperovals
- Splitness of the Veronesean and the Taniguchi 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
- Dimensional dual hyperovals in projective spaces and \(c\cdot AG^*\)-geometries
- New flag-transitive affine planes of even order
- Hyperovals in Desarguesian planes: An update
- On \(d\)-dimensional dual hyperovals
- Distance regular graphs arising from dimensional dual hyperovals
- Dimensional doubly dual hyperovals and bent functions
- Dimensional dual hyperovals and APN functions with translation groups
- Orthogonal dual hyperovals, symplectic spreads, and orthogonal spreads
- Doubly transitive dimensional dual hyperovals: universal covers and non-bilinear examples
- On an isomorphism problem of some dual hyperovals in \(\mathrm{PG} (2 d + 1, q )\) with \(q\) even
- On dual hyperovals of rank 4 over \({{\mathbb{F}}_2}\)
- A unified description of four simply connected dimensional dual hyperovals
- Some examples of simply connected dual hyperovals
- Symmetric extensions of bilinear dual hyperovals
- Conditions for a class of dimensional dual hyperovals to be of polar type
- On dimensional dual hyperovals \(S^{d+1}_{\sigma, \phi}\)
- Disjoint unions of dimensional dual hyperovals
- An elementary description of the Mathieu dual hyperoval and its splitness
- Notes on APN functions, semibiplanes and dimensional dual hyperovals
- On quadratic APN functions and dimensional dual hyperovals
- Doubly transitive, bilinear dimensional dual hyperovals: the conclusion
- Antidesigns and regularity of partial spreads in dual polar graphs
- On d-dual hyperovals in
- The Affine Permutation Groups of Rank Three
- Finite Permutation Groups and Finite Simple Groups
- Spreads, Translation Planes and Kerdock Sets. I
- Semi-Boolean Steiner quadruple Systems and dimensional dual hyperovals
- On a new family of flag-transitive semibiplanes
- New distance regular graphs arising from dimensional dual hyperovals
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