The Optimal Isodual Lattice Quantizer in Three Dimensions
数论
2014-09-17 v1
摘要
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 Z, A_2 and (presumably) D_4, E_8 and the Leech lattice in being simultaneously optimal with respect to all three criteria.
引用
@article{arxiv.math/0701080,
title = {The Optimal Isodual Lattice Quantizer in Three Dimensions},
author = {J. H. Conway and N. J. A. Sloane},
journal= {arXiv preprint arXiv:math/0701080},
year = {2014}
}
备注
5 pages