Orthogonal Dual Hyperovals, Symplectic Spreads and Orthogonal Spreads

Ulrich Dempwolff, William M. Kantor

Orthogonal spreads in orthogonal spaces of type $V^{+}(2n+2,2)$ produce large numbers of rank $n$ dual hyperovals in orthogonal spaces of type $V^{+}(2n,2)$. The construction resembles…