Equiangular Tight Frames from Paley Tournaments

Details Equiangular Tight Frames from Paley Tournaments Equiangular Tight Frames from Paley Tournaments

2004-08-20

arxiv.org/abs/math/0408287v2

Linear Algebra and its Applications 426, 497 (2007)

Mathematics

Functional Analysis

6 pages, requires elsart.cls. Fixed typos and simplified proof of theorem 1

Scientific paper

10.1016/j.bbr.2011.03.031

We prove the existence of equiangular tight frames having n=2d-1 elements
drawn from either C^d or C^(d-1) whenever n is either 2^k-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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