Designs, Codes and Cryptography

, Volume 34, Issue 2, pp 333–337

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

Article

DOI: 10.1007/s10623-004-4863-6

Cite this article as:
Cuypers, H. Des Codes Crypt (2005) 34: 333. doi:10.1007/s10623-004-4863-6

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).

Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  1. 1.Department of MathematicsEindhoven University of TechnologyEindhovenThe Netherlands