On tight t-designs in compact symmetric spaces of rank one

DOI10.3792/pjaa.61.78zbMath0572.05018OpenAlexW1973969299MaRDI QIDQ1062063

Eiichi Bannai, Stuart G. Hoggar

Publication date: 1985

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.61.78

zbMATH Keywords

distance functionscombinatorial configurationssymmetric spaces of rank onetight t-design

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (16)

Octonions and the two strictly projective tight 5-designs ⋮ On lower bounds on the size of designs in compact symmetric spaces of rank 1 ⋮ Tight 4 and 5-designs in projective spaces ⋮ Sketching with Kerdock's Crayons: Fast Sparsifying Transforms for Arbitrary Linear Maps ⋮ Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities ⋮ Weighted complex projective 2-designs from bases: Optimal state determination by orthogonal measurements ⋮ Optimal line packings from nonabelian groups ⋮ \(t\)-designs with general angle set ⋮ Isometric embeddings of finite-dimensional $\ell_p$-spaces over the quaternions ⋮ On tight projective designs ⋮ Antipodal sets and designs on unitary groups ⋮ Tight t-designs and squarefree integers ⋮ Lower bounds for projective designs, cubature formulas and related isometric embeddings ⋮ Current research on algebraic combinatorics. Supplements to our book, Algebraic combinatorics I ⋮ A survey on spherical designs and algebraic combinatorics on spheres ⋮ On designs in compact metric spaces and a universal bound on their size

Cites Work

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• t-designs in projective spaces
• Averaging sets: A generalization of mean values and spherical designs
• The product of consecutive integers is never a power
• Spherical codes and designs
• Tight spherical designs. I
• Discrete quadrature and bounds on t-designs
• Tight Spherical Disigns, II
• On a class of edge-regular graphs
• Note on the Product of Consecutive Integers (II)
• On a Diophantine Equation

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