Equiangular Tight Frames from Paley Tournaments
Joseph M. Renes
Abstract
We prove the existence of equiangular tight frames having n=2d-1 elements drawn from either Cd or C(d-1) whenever n is either 2k-1 for k in N, or a power of a prime such that n=3 mod 4. We also find a simple explicit expression for the prime power case by establishing a connection to a 2d-element equiangular tight frame based on quadratic residues.
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