Bilinear dual hyperovals from binary commutative presemifields

DOI10.1016/J.FFA.2016.07.003zbMath1348.05043OpenAlexW2499819122MaRDI QIDQ324271

Hiroaki Taniguchi

Publication date: 10 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2016.07.003

zbMATH Keywords

binary commutative semifielddual hyperoval

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45)

Related Items (3)

On kernels and nuclei of rank metric codes ⋮ Bilinear dual hyperovals from binary commutative presemifields. II. ⋮ Dimensional Dual Hyperovals—An Updated Survey

Cites Work

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• On the duals of certain \(d\)-dimensional dual hyperovals in \(\mathrm{PG}(2d+1,2)\)
• Commutative semifields and symplectic spreads.
• Flag-transitive extensions of dual affine spaces
• Equivalences of quadratic APN functions
• Ambient spaces of dimensional dual arcs
• Dimensional dual hyperovals and APN functions with translation groups
• A Class of Projective Planes

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