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Tremain equiangular tight frames (1602.03490v2)
Published 10 Feb 2016 in math.FA, cs.IT, math.CO, and math.IT
Abstract: Equiangular tight frames provide optimal packings of lines through the origin. We combine Steiner triple systems with Hadamard matrices to produce a new infinite family of equiangular tight frames. This in turn leads to new constructions of strongly regular graphs and distance-regular antipodal covers of the complete graph.