Far from a Point in the F4(q) Geometry
We take the long-root geometry associated with the Chevalley group F4(q), q even, and consider the subgeometry induced on the set of points at maximal distance from a given point. We shall describe this geometry and in particular determine the parameters of a 12-class association scheme on its point set obtained by joining certain classes of a group scheme.
Blok, Rieuwert J., "Far from a Point in the F4(q) Geometry" (2001). Mathematics and Statistics Faculty Publications. 28.
European Journal of Combinatorics