On hyperovals of polar spaces

We derive lower and upper bounds for the size of a hyperoval of a finite polar space of rank r {2, 3}. We give a computer-free proof for the uniqueness, up to isomorphism, of the hyperoval of size 126 of H(5, 4) and prove that the near hexagon E3 has up to isomorphism a unique full embedding into the dual polar space DH(5, 4).

• Type: Journal
• Year: 2010
• Where: DCC
• Authors: Bart De Bruyn
• Keywords: Computer Graphics, DCC 2010, Finite Polar Space, Hyperoval, Polar Space