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On some \(d\)-dimensional dual hyperovals in \(\text{PG}(2d,2)\)

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Publication:958612
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DOI10.1016/j.ffa.2008.06.001zbMath1156.51008OpenAlexW2004726531MaRDI QIDQ958612

Hiroaki Taniguchi

Publication date: 5 December 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2008.06.001


zbMATH Keywords

nearfieldsquasifieldsdual hyperovals


Mathematics Subject Classification ID

Blocking sets, ovals, (k)-arcs (51E21) Semifields (12K10)


Related Items (4)

Dimensional Dual Hyperovals—An Updated Survey ⋮ Some examples of simply connected dual hyperovals ⋮ New dimensional dual hyperovals, which are not quotients of the classical dual hyperovals ⋮ Dimensional dual hyperovals and APN functions with translation groups



Cites Work

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  • On \(d\)-dimensional dual hyperovals in PG\((2d,2)\)
  • Flag-transitive extensions of dual affine spaces
  • On generalized \(k\)-arcs in \( \mathbb{PG} (2n,q)\)
  • A survey of finite semifields
  • Configurations of planes in PG(5,2)
  • On \(d\)-dimensional dual hyperovals
  • Finite semifields and projective planes


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