The optimal isodual lattice quantizer in three dimensions

Autor:	Neil J. A. Sloane, John H. Conway
Rok vydání:	2007
Předmět:	Combinatorics Physics::General Physics Algebra and Number Theory Computer Networks and Communications High Energy Physics::Lattice Applied Mathematics Lattice (order) Discrete Mathematics and Combinatorics Joins Leech lattice Microbiology Mathematics
Zdroj:	Advances in Mathematics of Communications. 1:257-260
ISSN:	1930-5338
DOI:	10.3934/amc.2007.1.257
Popis:	The mean-centered cuboidal (or m.c.c.) lattice is known to be the optimal packing and covering among all isodual three-dimensional lattices. In this note we show that it is also the best quantizer. It thus joins the isodual lattices $\mathbb Z$, $A_2$ and (presumably) $D_4, E_8$ and the Leech lattice in being simultaneously optimal with respect to all three criteria.
Databáze:	OpenAIRE
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