Sidon sets yield weighted 2-designs of size d^2 + O(d^{1.525}) in every dimension, the first general bound matching the lower bound up to lower-order terms.
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Nearly tight weighted 2-designs in complex projective spaces of every dimension
Sidon sets yield weighted 2-designs of size d^2 + O(d^{1.525}) in every dimension, the first general bound matching the lower bound up to lower-order terms.