On spherical designs of some harmonic indices

zbMath1361.05023arXiv1507.05373MaRDI QIDQ528991

Kyoung-Tark Kim, Eiichi Bannai, Wei-Hsuan Yu, Etsuko Bannai, Yan Zhu

Publication date: 18 May 2017

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05373

zbMATH Keywords

semidefinite programmingGegenbauer polynomialtight designDelsarte's methodelliptic Diophantine equationFisher type lower boundLarman-Rogers-Seidel's theoremspherical designs of harmonic index

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (7)

Upper bounds for \(s\)-distance sets and equiangular lines ⋮ New Bounds for Equiangular Lines and Spherical Two-Distance Sets ⋮ Spherical designs and modular forms of the \(D_4\) lattice ⋮ Classification of spherical 2-distance \(\{4,2,1\}\)-designs by solving Diophantine equations ⋮ Half of an antipodal spherical design ⋮ Equiangular lines and the Lemmens-Seidel conjecture ⋮ Majorization and Minimal Energy on Spheres

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