# On antipodal spherical t-designs of degree s with \$tgeq 2s-3\$ - Mathematics > Combinatorics

Abstract: We prove that if X is a spherical t-design and s-distance set with \$t\geq2s-3\$, then X has the structure of Q-polynomial association scheme of class s.Also, we describe the parameters of the association scheme.

Author: Eiichi Bannai, Etsuko Bannai

Source: https://arxiv.org/