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. 出版者： Elsevier Ltd 出版日期： 2016-04 出處： European journal of combinatorics, 2016-04, Vol.53, p.96-103 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2015 Elsevier Ltd 識別號： ISSN: 0195-6698 識別號： EISSN: 1095-9971 識別號： DOI: 10.1016/j.ejc.2015.11.003
