Some non-existence results for distance-$j$ ovoids in small generalized polygons

Abstract

We give a computer-based proof for the non-existence of distance-$2$ ovoids in the dual split Cayley hexagon $\mathsf{H}(4{)}^D$. Furthermore, we give upper bounds on partial distance-$2$ ovoids of $\mathsf{H}(q{)}^D$ for $q\in \{2,4\}$.

10 pages

References in corpus (1)

• On generalized hexagons of order $(3,t)$ and $(4,t)$ containing a subhexagon

Cited by in corpus (1)

• On generalized hexagons of order $(3,t)$ and $(4,t)$ containing a subhexagon