Maximum Erdős-Ko-Rado sets of chambers and their antidesigns in vector-spaces of even dimension

Philipp Heering, Jesse Lansdown, Klaus Metsch

A chamber of the vector space ${\mathbb{F}}_q^n$ is a set $\{S_1,\dots ,S_{n-1}\}$ of subspaces of ${\mathbb{F}}_q^n$ where $S_1\subset S_2\subset \dots \subset S_{n-1}$ and $\dim(S_i)…