Constructing the Tits ovoid from an elliptic quadric

Abstract

This note details the construction of the Tits ovoid in $PG\left(3,2^{2e-1}\right)$, $e\ge 2$, starting with an elliptic quadric in this space. The method employs a special type of net replacement which is here called oval derivation applied to a plane representation of the elliptic quadric.