Saturated configuration and new large construction of equiangular lines

Yen chi Roger Lin, Wei Hsuan Yu

研究成果: 雜誌貢獻期刊論文同行評審

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 Rd 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 R42, 200 equiangular lines in R41, 168 equiangular lines in R40, 152 equiangular lines in R39 with angle 1/7, and 56 equiangular lines in R18 with angle 1/5.

原文英語
頁(從 - 到)272-281
頁數10
期刊Linear Algebra and Its Applications
588
DOIs
出版狀態已發佈 - 2020 三月 1

ASJC Scopus subject areas

  • 代數與數理論
  • 數值分析
  • 幾何和拓撲
  • 離散數學和組合

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