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Exact calculation of quantizer constants for arbitrary lattices - MaRDI portal

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Exact calculation of quantizer constants for arbitrary lattices

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Publication:6508138

arXiv2211.01987MaRDI QIDQ6508138

Author name not available (Why is that?)


Abstract: We present an algorithm for the exact computer-aided construction of the Voronoi cells of lattices with known symmetry group. Our algorithm scales better than linearly with the total number of faces and is applicable to dimensions beyond 12, which previous methods could not achieve. The new algorithm is applied to the Coxeter-Todd lattice K12 as well as to a family of lattices obtained from laminating K12. By optimizing this family, we obtain a new best 13-dimensional lattice quantizer (among the lattices with published exact quantizer constants).





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