On the 430-cap of $\mathrm{PG}(6,4)$ having two intersection sizes with respect to hyperplanes

John Bamberg

Let $\mathcal{C}$ be a 430-cap of $\mathrm{PG}(6,4)$ having two intersection sizes with respect to hyperplanes. We show that no hyperplane of $\mathrm{PG}(6,4)$ intersects $\mathca…