On antipodal spherical t-designs of degree s with $t\geq 2s-3$

Eiichi Bannai; Etsuko Bannai

arxiv: 0802.2905 · v1 · submitted 2008-02-20 · 🧮 math.CO

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

Eiichi Bannai , Etsuko Bannai This is my paper

classification 🧮 math.CO

keywords associationschemesphericalantipodalclassdegreedescribeparameters

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We prove that if X is a spherical t-design and s-distance set with $t\geq 2s-3$, 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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On antipodal spherical t-designs of degree s with tgeq 2s-3

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