On Minkowksi's bound for lattice-packings

Roland Bacher (1)

1 IF - Institut Fourier

We 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.

Mots clés: Lattice packing

Domaines: Théorie des nombres [math.NT]; Géométrie métrique [math.MG]

Roland Bacher. On Minkowksi's bound for lattice-packings. 2004. ⟨hal-00002737⟩