论文标题
低维欧几里德空间中的等缘线
Equiangular lines in low dimensional Euclidean spaces
论文作者
论文摘要
我们表明，在14和16维度中，等缘线系统的最大基数分别为28和40，从而解决了长期存在的开放问题。我们还分别提高了19和20维度的等缘线系统基数的上限，分别为74和94。
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.
