A Note on Optimal Unimodular Lattices
组合数学
2007-05-23 v1
摘要
The highest possible minimal norm of a unimodular lattice is determined in dimensions n <= 33. There are precisely five odd 32-dimensional lattices with the highest possible minimal norm (compared with more than 8*10^20 in dimension 33). Unimodular lattices with no roots exist if and only if n >= 23, n not = 25.
引用
@article{arxiv.math/0207292,
title = {A Note on Optimal Unimodular Lattices},
author = {J. H. Conway and N. J. A. Sloane},
journal= {arXiv preprint arXiv:math/0207292},
year = {2007}
}
备注
8 pages