A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4

DOI10.1016/j.ejc.2015.11.003zbMath1328.05034arXiv1409.6995OpenAlexW2195670318MaRDI QIDQ901158

Wei-Hsuan Yu, Takayuki Okuda

Publication date: 23 December 2015

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6995

zbMATH Keywords

spherical tight designs

Mathematics Subject Classification ID

Semidefinite programming (90C22) Other designs, configurations (05B30) Other types of codes (94B60)

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Cites Work

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• Semidefinite programming, multivariate orthogonal polynomials, and codes in spherical caps
• Spherical designs of harmonic index \(t\)
• Equiangular lines
• New bounds for equiangular lines
• New Code Upper Bounds From the Terwilliger Algebra and Semidefinite Programming
• New upper bounds for kissing numbers from semidefinite programming
• New Bounds for Spherical Two-Distance Sets

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