On antipodal spherical t-designs of degree s with t≥ 2s-3

2008/02/20 by Bannai, Eiichi, Bannai, Etsuko · 1 citation
#05 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.0802.2905

Abstract

We prove that if X is a spherical t-design and s-distance set with t≥ 2s-3, then X has the structure of Q-polynomial association scheme of class s. Also, we describe the parameters of the association scheme.

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• Existence and nonexistence of spherical 5-designs of minimal type

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