On tight spherical designs

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.

Cited by in corpus (4)

• Finite two-distance tight frames
• New bounds for equiangular lines and spherical two-distance sets
• On the existence of tight relative 2-designs on binary Hamming association schemes
• New bounds for spherical two-distance sets