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An ovoid of PG(3, q) can be defined as a set of q 2 + 1 points with the property that every three points span a plane and at every point there is a unique tangent plane. In 2000 M. R. Brown () proved that if an ovoid of PG(3, q), q even, contains a pointed conic, then either q = 4 and the ovoid is an elliptic quadric, or q = 8 and the ovoid is a Tits ovoid. Generalising the definition of an ovoid to a set of (n − 1)-spaces of PG(4n − 1, q) J. A. Thas  introduced the notion ofdoi:10.1016/j.ejc.2003.12.014 fatcat:mwzaaku6cnb7bbxouptpnjwlha