Grassmannian codes from paired difference sets

@article{Fickus2021GrassmannianCF,
  title={Grassmannian codes from paired difference sets},
  author={Matthew C. Fickus and Joseph W. Iverson and John Jasper and Emily J. King},
  journal={Des. Codes Cryptogr.},
  year={2021},
  volume={89},
  pages={2553-2576}
}
An equiangular tight frame (ETF) is a sequence of vectors in a Hilbert space that achieves equality in the Welch bound and so has minimal coherence. More generally, an equichordal tight fusion frame (ECTFF) is a sequence of equi-dimensional subspaces of a Hilbert space that achieves equality in Conway, Hardin and Sloane's simplex bound. Every ECTFF is a type of optimal Grassmannian code, that is, an optimal packing of equi-dimensional subspaces of a Hilbert space. We construct ECTFFs by… Expand
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