## 摘要

A set of lines through the origin in Euclidean space is called equiangular when any pair of lines from the set intersects with each other at a common angle. We study the maximum size of equiangular lines in Euclidean space and use a graph theoretic approach to prove that all the currently known constructions for maximum equiangular lines in R^{d} cannot be added by any more lines to form a larger equiangular set of lines when d=14,16,17,18,19, and 20. We give new constructions of large equiangular lines which are 248 equiangular lines in R^{42}, 200 equiangular lines in R^{41}, 168 equiangular lines in R^{40}, 152 equiangular lines in R^{39} with angle 1/7, and 56 equiangular lines in R^{18} with angle 1/5.

原文 | ???core.languages.en_GB??? |
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頁（從 - 到） | 272-281 |

頁數 | 10 |

期刊 | Linear Algebra and Its Applications |

卷 | 588 |

DOIs | |

出版狀態 | 已出版 - 1 3月 2020 |