Lower bounds for spherical designs
Izvestiya. Mathematics , Tome 61 (1997) no. 3, pp. 673-683

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A new lower bound is obtained for the cardinality of spherical designs. In its dependence on dimension it improves the well-known bound of Delsarte by an exponential factor as the degree of the design tends to infinity.
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     author = {V. A. Yudin},
     title = {Lower bounds for spherical designs},
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V. A. Yudin. Lower bounds for spherical designs. Izvestiya. Mathematics , Tome 61 (1997) no. 3, pp. 673-683. http://geodesic.mathdoc.fr/item/IM2_1997_61_3_a8/