Spherical designs from norm-3 shell of integral lattices
Combinatorics
2010-06-30 v2
Abstract
A set of vectors all of which have a constant (non-zero) norm value in an Euclidean lattice is called a shell of the lattice. Venkov classified strongly perfect lattices of minimum 3 (R\'{e}seaux et "designs" sph\'{e}rique, 2001), whose minimal shell is a spherical 5-design. This note considers the classification of integral lattices whose shells of norm 3 are 5-designs.
Keywords
Cite
@article{arxiv.0811.2653,
title = {Spherical designs from norm-3 shell of integral lattices},
author = {Junichi Shigezumi},
journal= {arXiv preprint arXiv:0811.2653},
year = {2010}
}
Comments
10 pages, http://www2.math.kyushu-u.ac.jp/~j.shigezumi/