On some d-dimensional dual hyperovals in PG(2d,2)

Authors:
Hiroaki Taniguchi
Affiliations:
Takuma National College of Technology, 551 Takuma, Kagawa 769-1192, Japan
Venue:
Finite Fields and Their Applications
Year:
2008

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Abstract

In [H. Taniguchi, On d-dimensional dual hyperovals in PG(2d,2), Innov. Incidence Geom., in press], we construct d-dimensional dual hyperovals in PG(2d,2) from quasifields of characteristic 2. In this note, we show that, if d-dimensional dual hyperovals in PG(2d,2) constructed from nearfields are isomorphic, then those nearfields are isomorphic. Some results on dual hyperovals constructed from quasifields are also proved.