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.
Journal of Combinatorial Theory, Series A
Fickus, M. C., Jasper, J., Mixon, D. G., & Peterson, J. D. (2018). Tremain equiangular tight frames. Journal of Combinatorial Theory, Series A, 153(January), 54–66. https://doi.org/10.1016/j.jcta.2017.08.005