Brouwer, Godsil, Koolen and Martin defined and studied width and dual width of the subset in
polynomial association schemes. In the view of Q-polynomial association schemes, dual width
is a important parameter and they give a sufficient condition that the subset having good
property, which is called dual narrow, is to be a Q-polynomial subscheme of an original
association scheme. In this talk, we consider an analogue of dual width on sphere and give a
sufficient condition that the spherical code having good property is to be a Q-polynomial
association scheme.
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