Joseph W. Iverson

activity

20242026

collaborators

5 papers

math.CO2026

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…

cs.IT2025

Dimension-counting bounds for equi-isoclinic subspaces

Joseph W. Iverson, Kaysie Rose O

We make four contributions to the theory of optimal subspace packings and equi-isoclinic subspaces: (1) a new lower bound for block coherence, (2) an exact count of equi-isoclinic…

math.MG2025

Asymmetric SICs over finite fields

Joseph W. Iverson, Dustin G. Mixon

Zauner's conjecture concerns the existence of $d^{2}$ equiangular lines in $C^{d}$ ; such a system of lines is known as a SIC. In this paper, we construct infinitely many new S…

cs.IT2025

Radon-Hurwitz Grassmannian codes

Matthew Fickus, Enrique Gomez-Leos, Joseph W. Iverson

Every equi-isoclinic tight fusion frame (EITFF) is a type of optimal code in a Grassmannian, consisting of subspaces of a finite-dimensional Hilbert space for which the smallest pr…

math.MG2024

More on the optimal arrangement of $2 d$ lines in $C^{d}$

Joseph W. Iverson, John Jasper, Dustin G. Mixon

We introduce a new infinite family of $d \times 2 d$ equiangular tight frames. Many matrices in this family consist of two $d \times d$ circulant blocks. We conjecture that such equia…