2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155259We prove that if X is a spherical t-design and s-distance set with $t\geq 2s-3$, then X has the structure of Q-polynomial association scheme of class s. Also, we describe the parameters of the association scheme.16 pagesCombinatorics05On antipodal spherical t-designs of degree s with $t\geq 2s-3$text