科研之友
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摘要
We give a new upper bound for the cardinality of a set of equiangular lines in R-n with a fixed common angle theta for each (n, theta) 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 R-n with n >= 3. 2015 Elsevier Ltd.
- 出版日期2016-4
