Lattices with Large Kissing Number from Local Density

Huck Bennett, Minki Hhan, Zihan Li +1

Let ${\kappa }_p(n)$ denote the maximum kissing number of a lattice $\mathcal{L}\subset {\mathbb{R}}^n$. We prove that ${\kappa }_p(n)\ge 2^{\Omega (\sqrt{n})}$ for all $p\ge 1$ and that $κ_p(n) \geq Ω…