Vol. 8, No. 1, 2008

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On $d$-dimensional dual hyperovals in $\mathsf{PG}(2d,2)$

Hiroaki Taniguchi

Vol. 8 (2008), No. 1, 137–145
DOI: 10.2140/iig.2008.8.137
Abstract

We show that d-dimensional dual hyperovals in PG(2d,2) constructed from a regular nearfield of characteristic 2 are not isomorphic to Yoshiara’s d-dimensional dual hyperovals in PG(2d,2) constructed by Yoshiara. Thus we show that, in Cooperstein–Thas’s family, there exist non-isomorphic dual hyperovals.

Keywords
dual hyperoval
Mathematical Subject Classification 2010
Primary: 05-XX
Milestones
Received: 2 September 2007
Accepted: 23 January 2008
Authors
Hiroaki Taniguchi