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

Takayuki Okuda; Wei Hsuan Yu

doi:10.1016/j.ejc.2015.11.003

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

Takayuki Okuda
, Wei Hsuan Yu

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

18 引文斯高帕斯（Scopus）

摘要

We give a new upper bound for the cardinality of a set of equiangular lines in Rn with a fixed common angle θ for each (n, θ) satisfying certain conditions. Our techniques are based on semidefinite programming methods for spherical codes introduced by Bachoc and Vallentin (2008). As a corollary to our bound, we show the nonexistence of spherical tight designs of harmonic index 4 on a sphere in Rn with n≥ 3.

原文	???core.languages.en_GB???
頁（從 - 到）	96-103
頁數	8
期刊	European Journal of Combinatorics
卷	53
DOIs	https://doi.org/10.1016/j.ejc.2015.11.003
出版狀態	已出版 - 1 4月 2016

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10.1016/j.ejc.2015.11.003

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

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