New bounds for partial spreads of H(2d−1,q2) and partial ovoids of the Ree-Tits octagon

The second result is that the size of a partial ovoid of the Ree-Tits octagon O(2t) is at most 26t+1. This bound, in particular, shows that the Ree-Tits octagon O(2t) does not have an ovoid.