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Spherical t-designs Sn-1 = {(x1,x2,· · ·,xn) ∈ Rn | x21+x22+· · ·+x2 n = 1}.Y?Sn?1,0 < |Y | < ∞.Definition(Delsarte-Goethals-Seidel,1977) Y is called a spherical t-design on Sn?1 if and only if