A simple proof of a reverse Minkowski theorem for integral lattices

Oded Regev, Noah Stephens-Davidowitz

We prove that for any integral lattice $\mathcal{L}\subset {\mathbb{R}}^n$ (that is, a lattice $\mathcal{L}$ such that the inner product $⟨{\mathbf{y}}_1,{\mathbf{y}}_2⟩$…