2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72334We give a new proof of the Minkowski-Hlawka bound on the existence of dense lattices. The proof is based on an elementary method for constructing dense lattices which is almost effective.Prepublication 650 de l'Institut FourierNumber TheoryMetric Geometry10E05, 10E20text