Designs, Codes and Cryptography

, Volume 34, Issue 2–3, pp 333–337

A Note on the Tight Spherical 7-Design in \({\mathbb R}^{23}\) and 5-Design in \({\mathbb R}^{7*}\)

Article

Abstract

In this note we prove the uniqueness of the tight spherical 7-design in\({\mathbb R}^{23}\) consisting of 4600 vectors and with automorphism group 2 × Co2 as well as the uniqueness of the tight spherical 5-design in \({\mathbb R}^{7}\) on 112 vectors and with automorphism group 2 × Sp6(2).

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of MathematicsEindhoven University of TechnologyEindhovenThe Netherlands

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