Article

Designs, Codes and Cryptography

, Volume 65, Issue 1, pp 89-98

An excess theorem for spherical 2-designs

  • Hirotake KuriharaAffiliated withMathematical Institute, Tohoku University Email author 

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Abstract

We give an excess theorem for spherical 2-designs. This theorem is a dual version of the spectral excess theorem for graphs, which gives a characterization of distance-regular graphs, among regular graphs in terms of the eigenvalues and the excess. Here we give a characterization of Q-polynomial association schemes among spherical 2-designs.

Keywords

Q-polynomial association scheme Distance set Spherical design

Mathematics Subject Classification

05E30 05B30