Tremain Equiangular Tight Frames

Authors

Matthew C. Fickus, Air Force Institute of TechnologyFollow
John Jasper, University of Cincinnati
Dustin G. Mixon, Air Force Institute of Technology
Jesse D. Peterson, Air Force Office of Scientific Research

Document Type

Article

Publication Date

1-2018

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.

Comments

This record sources the open access e-print version of the article at arXiv:1602.03490 [math.FA] Date of arXiv submission: 10 Feb 2016 (version 1); revised 28 Jun 2017 (version 2).

The publisher's version of record is a subscription-access article at ScienceDirect. The citation is noted below.

DOI

10.1016/j.jcta.2017.08.005

Source Publication

Journal of Combinatorial Theory, Series A

Recommended Citation

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