Exact calculation of quantizer constants for arbitrary lattices

10/14/2022

∙

by   Daniel Pook-Kolb, et al.

∙

0

∙

share

We present an algorithm for the computer-aided analytical construction of the Voronoi cells of lattices with known symmetry group. This algorithm is applied to the Coxeter-Todd lattice K_12 as well as to a family of lattices obtained from laminating K_12. This way, we obtain a locally optimal lattice quantizer in 13 dimensions representing a new best quantizer among the lattices with published exact quantizer constants.