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Equiangular Lines in Low Dimensional Euclidean Spaces
Combinatorica ( IF 1.1 ) Pub Date : 2021-08-31 , DOI: 10.1007/s00493-020-4523-0 Gary R. W. Greaves 1 , Jeven Syatriadi 1 , Pavlo Yatsyna 2
中文翻译:
低维欧几里得空间中的等角线
更新日期:2021-09-01
Combinatorica ( IF 1.1 ) Pub Date : 2021-08-31 , DOI: 10.1007/s00493-020-4523-0 Gary R. W. Greaves 1 , Jeven Syatriadi 1 , Pavlo Yatsyna 2
Affiliation
We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve the upper bounds on the cardinality of equiangular line systems in 19 and 20 dimensions to 74 and 94, respectively.
中文翻译:
低维欧几里得空间中的等角线
我们证明了 14 维和 16 维等角线系统的最大基数分别为 28 和 40,从而解决了一个长期存在的开放问题。我们还将 19 维和 20 维的等角线系统的基数上限分别提高到 74 和 94。