Orthogonal arrays from Hermitian varieties

Abstract

A simple orthogonal array $OA\left(q^{2n-1},q^{2n-2},q,2\right)$ is constructed by using the action of a large subgroup of $PGL\left(n+1,q^2\right)$ on a set of non-degenerate Hermitian varieties in $PG\left(n,q^2\right)$.