Spherical designs and lattices
Number Theory
2013-06-20 v2
Abstract
In this article we prove that integral lattices with minimum <= 7 (or <= 9) whose set of minimal vectors form spherical 9-designs (or 11-designs respectively) are extremal, even and unimodular. We furthermore show that there does not exist an integral lattice with minimum <=11 which yields a 13-design.
Keywords
Cite
@article{arxiv.1111.0772,
title = {Spherical designs and lattices},
author = {Elisabeth Nossek},
journal= {arXiv preprint arXiv:1111.0772},
year = {2013}
}
Comments
The final publication is available at http://link.springer.com/article/10.1007%2Fs13366-013-0155-5