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arXiv · 2406.19542

Totally symmetric Grassmannian codes

Matthew Fickus·Joseph W. Iverson·John Jasper·Dustin G. Mixon
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Abstract

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 new family of equi-isoclinic tight fusion frames (EITFFs), which consequently form optimal Grassmannian codes. By virtue of their construction, our EITFFs have the remarkable property of total symmetry: any permutation of subspaces can be achieved by an appropriate unitary.

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Matthew Fickus, Joseph W. Iverson, John Jasper, Dustin G. Mixon. 2026-01-22. Totally symmetric Grassmannian codes. https://arxiv.org/abs/2406.19542

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