Tremain equiangular tight frames
Matthew Fickus, John Jasper, Dustin G. Mixon, Jesse Peterson
TL;DR
This paper introduces a novel infinite family of equiangular tight frames by combining Steiner triple systems with Hadamard matrices, leading to new structures in graph theory.
Contribution
It presents a new method for constructing equiangular tight frames using combinatorial designs and Hadamard matrices, expanding the known families.
Findings
New infinite family of equiangular tight frames
Construction of strongly regular graphs
Development of distance-regular antipodal covers
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.
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