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math.MG2024
More on the optimal arrangement of lines in
Joseph W. Iverson, John Jasper, Dustin G. Mixon
We introduce a new infinite family of equiangular tight frames. Many matrices in this family consist of two circulant blocks. We conjecture that such equia…
math.MG2024
Optimal codes in the Stiefel manifold
John Jasper, Nathan Mankovich, Dustin G. Mixon
We consider the coding problem in the Stiefel manifold with chordal distance. After considering various low-dimensional instances of this problem, we use Rankin's bounds on spheric…
math.CO2024
Totally symmetric Grassmannian codes
Matthew Fickus, Joseph W. Iverson, John Jasper +1
We introduce a general technique to construct tight fusion frames with prescribed symmetries. Applying this technique with a prescription for "all the symmetries", we construct a n…