Concept
Réseau de Leech
Publications associées (35)
Automorphisms of even unimodular lattices and equivariant Witt groups
We characterize the irreducible polynomials that occur as the characteristic polynomial of an automorphism of an even unimodular lattice of a given signature, generalizing a theorem of Gross and McMullen. As part of the proof, we give a general criterion i ...
EUROPEAN MATHEMATICAL SOC2020Sharp sphere packings
In this talk we will speak about recent progress on the sphere packing problem. The packing problem can be formulated for a wide class of metric spaces equipped with a measure. An interesting feature of this optimization problem is that a slight change of ...
World Scientific Publishing2018The sphere packing problem in dimension 24
Maryna Viazovska, Abhinav Kumar
Building on Viazovska’s recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and that it is the unique optimal periodic packing. In particul ...
2017Gaussian Multiple Access via Compute-and-Forward
Michael Christoph Gastpar, Jingge Zhu
Lattice codes used under the compute-and-forward paradigm suggest an alternative strategy for the standard Gaussian multiple-access channel (MAC): the receiver succes- sively decodes the integer linear combinations of the messages until it can invert and r ...
Institute of Electrical and Electronics Engineers2017