On tight spherical designs

DOI10.1090/S1061-0022-2013-01249-0zbMath1271.05021OpenAlexW2963756038MaRDI QIDQ5891184

Gabriele Nebe, Boris B. Venkov

Publication date: 16 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2013-01249-0

zbMATH Keywords

quadratic formtight \(t\)-design

Mathematics Subject Classification ID

Other designs, configurations (05B30) Other finite incidence structures (geometric aspects) (51E30)

Related Items (14)

Design theory from the viewpoint of algebraic combinatorics ⋮ Rationality of the inner products of spherical \(s\)-distance \(t\)-designs for \(t \geq 2s - 2\), \(s \geq 3\) ⋮ \(k\)-point semidefinite programming bounds for equiangular lines ⋮ Upper bounds for \(s\)-distance sets and equiangular lines ⋮ On the existence of tight relative 2-designs on binary Hamming association schemes ⋮ New Bounds for Equiangular Lines and Spherical Two-Distance Sets ⋮ Spherical Framelets from Spherical Designs ⋮ Nonexistence of certain pseudogeometric graphs ⋮ A survey on tight Euclidean \(t\)-designs and tight relative \(t\)-designs in certain association schemes ⋮ Classification of spherical 2-distance \(\{4,2,1\}\)-designs by solving Diophantine equations ⋮ Half of an antipodal spherical design ⋮ Complex spherical codes with three inner products ⋮ Linear programming bounds for covering radius of spherical designs ⋮ Automorphisms of a strongly regular graph with parameters \((1305, 440, 115, 165)\)

Cites Work

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• Spherical codes and designs
• Tight spherical designs. I
• Tight Spherical Disigns, II
• The nonexistence of certain tight spherical designs
• On tight spherical designs

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