On tight sets of hyperbolic quadrics

Alexander L. Gavrilyuk

We prove that the parameter $x$ of a tight set $\mathcal{T}$ of a hyperbolic quadric ${\mathsf{Q}}^{+}(2n+1,q)$ of an odd rank $n+1$ satisfies $\left(\genfrac{}{}{0ex}{}{x}{2}\right)+w(w-x)\equiv 0\mathrm{mod}q+1$, wh…