Coherent configurations and triply regular association schemes obtained from spherical designs

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dc.creatorSuda, Sho
dc.date2009-03-30
dc.date.accessioned2026-07-07T12:58:07Z
dc.date.available2026-07-07T12:58:07Z
dc.descriptionDelsarte-Goethals-Seidel showed that if $X$ is a spherical $t$-design with degree $s$ satisfying $t\geq 2s-2$, $X$ carries the structure of an association scheme. Also Bannai-Bannai showed that the same conclusion holds if $X$ is an antipodal spherical $t$-design with degree $s$ satisfying $t=2s-3$. As a generalization of these results, we prove that a union of spherical designs with a certain property carries the structure of a coherent configuration. We derive triple regularity of tight spherical $4,5,7$-designs, mutually unbiased bases, linked symmetric designs with certain parameters.
dc.description17pages
dc.identifierhttps://arxiv.org/abs/0903.5169
dc.identifierhttp://arxiv.org/abs/0903.5169
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225138
dc.subjectCombinatorics
dc.subject05E30
dc.titleCoherent configurations and triply regular association schemes obtained from spherical designs
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