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

• Authors: Hans Cuypers
• Venue: Designs, Codes and Cryptography
• Year: 2005

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 脳 Co2 as well as the uniqueness of the tight spherical 5-design in $${\mathbb R}^{7}$$ on 112 vectors and with automorphism group 2 脳 Sp6(2).