Spherical two-distance sets

DOI10.1016/j.jcta.2008.09.003zbMath1166.51300arXiv0801.3706OpenAlexW2067544741MaRDI QIDQ1024353

Oleg R. Musin

Publication date: 17 June 2009

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.3706

zbMATH Keywords

polynomial methodtwo-distance setDelsarte method

Mathematics Subject Classification ID

General theory of distance geometry (51K05)

Related Items (25)

New Bounds for Spherical Two-Distance Sets ⋮ Upper bounds for \(s\)-distance sets and equiangular lines ⋮ Distance Sets on Circles ⋮ New Bounds for Equiangular Lines and Spherical Two-Distance Sets ⋮ Ranks of matrices with few distinct entries ⋮ Inside s-inner product sets and Euclidean designs ⋮ Bounds on sets with few distances ⋮ Constructions and restrictions for balanced splittable Hadamard matrices ⋮ The two-distance sets in dimension four ⋮ Bounds on three- and higher-distance sets ⋮ Complex spherical codes with two inner products ⋮ Complex spherical codes with three inner products ⋮ On spherical designs of some harmonic indices ⋮ A geometrical characterization of strongly regular graphs ⋮ A generalization of Larman-Rogers-Seidel's theorem ⋮ On a generalization of distance sets ⋮ Towards a proof of the 24-cell conjecture ⋮ New Upper Bounds for Equiangular Lines by Pillar Decomposition ⋮ Constructions of maximum few-distance sets in Euclidean spaces ⋮ A new proof of a generalization of Gerzon's bound ⋮ Graphs and spherical two-distance sets ⋮ A survey on spherical designs and algebraic combinatorics on spheres ⋮ Regular two-distance sets ⋮ Majorization and Minimal Energy on Spheres ⋮ Spherical designs of harmonic index \(t\)

Cites Work

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• An upper bound for the cardinality of an s-distance subset in real Euclidean space. II
• Spherical codes and designs
• New maximal two-distance sets
• Equiangular lines
• On Two-Distance Sets in Euclidean Space

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