Biangular Lines Revisited

Mikhail Ganzhinov*, Ferenc Szöllősi

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

Line systems passing through the origin of the d-dimensional Euclidean space admitting exactly two distinct angles are called biangular. It is shown that the maximum cardinality of biangular lines is at least 2 (d- 1) (d- 2) , and this result is sharp for d∈ { 4 , 5 , 6 }. Connections to binary codes, few-distance sets, and association schemes are explored, along with their multiangular generalization.

Original languageEnglish
JournalDiscrete and Computational Geometry
DOIs
Publication statusE-pub ahead of print - 2021
MoE publication typeA1 Journal article-refereed

Keywords

  • Biangular lines
  • Few-distance sets
  • t-Designs

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