Equi-isoclinic subspaces, covers of the complete graph, and complex conference matrices

DOI10.1016/j.laa.2024.08.002zbMATH Open1548.0506MaRDI QIDQ6618717

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

Publication date: 15 October 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

conference matricescovers of the complete graphequi-isoclinic

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) General harmonic expansions, frames (42C15) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of packing and covering (05B40)

Cites Work

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• Equiangular lines and covers of the complete graph
• Distance regular covers of the complete graph
• Grassmannian frames with applications to coding and communication
• Infinite family of equi-isoclinic planes in Euclidean odd dimensional spaces and of complex symmetric conference matrices of odd orders
• Complex conference matrices and equi-isoclinic planes in Euclidean spaces
• Antipodal covering graphs
• Constructing Packings in Grassmannian Manifolds via Alternating Projection
• Harmonic Grassmannian codes
• A note on complex conference matrices

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