39 citations · 46 across the 15 of their papers we have counts for
5 papers · 1 filter
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…
Equi-isoclinic subspaces, covers of the complete graph, and complex conference matrices
Matthew Fickus, Joseph W. Iverson, John Jasper +1
In 1992, Godsil and Hensel published a ground-breaking study of distance-regular antipodal covers of the complete graph that, among other things, introduced an important connection…
Frames over finite fields: Equiangular lines in orthogonal geometry
Gary R. W. Greaves, Joseph W. Iverson, John Jasper +1
We investigate equiangular lines in finite orthogonal geometries, focusing specifically on equiangular tight frames (ETFs). In parallel with the known correspondence between real E…
Doubly transitive lines II: Almost simple symmetries
Joseph W. Iverson, Dustin G. Mixon
We study lines through the origin of finite-dimensional complex vector spaces that enjoy a doubly transitive automorphism group. This paper classifies those lines that exhibit almo…
Doubly transitive lines I: Higman pairs and roux
Joseph W. Iverson, Dustin G. Mixon
We study lines through the origin of finite-dimensional complex vector spaces that enjoy a doubly transitive automorphism group. In doing so, we make fundamental connections with b…