On tight spherical designs
Combinatorics
2012-01-10 v1 Number Theory
Abstract
Let X be a tight t-design of dimension n for one of the open cases t=5 or t=7. An investigation of the lattice generated by X using arithmetic theory of quadratic forms allows to exclude infinitely many values for n.
Cite
@article{arxiv.1201.1830,
title = {On tight spherical designs},
author = {Gabriele Nebe and Boris Venkov},
journal= {arXiv preprint arXiv:1201.1830},
year = {2012}
}