Equiangular Lines in Low Dimensional Euclidean Spaces

被引：0
|
作者：
Gary R. W. Greaves
Jeven Syatriadi
Pavlo Yatsyna
机构：
[1] Nanyang Technological University,Division of Mathematical Sciences, School of Physical and Mathematical Sciences
[2] Charles University,Department of Algebra, Faculty of Mathematics and Physics
来源：
Combinatorica | 2021年 / 41卷
关键词：
05B40; 05B20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
收藏
页码：839 / 872
页数：33
相关论文
共 50 条
  • [21] HIGHER DIMENSIONAL EUCLIDEAN AND HYPERBOLIC MATRIX SPACES
    SCHWARZ, B
    ZAKS, A
    JOURNAL D ANALYSE MATHEMATIQUE, 1986, 46 : 271 - 282
  • [22] Rotational surfaces in higher dimensional Euclidean spaces
    Arslan K.
    Bayram B.
    Bulca B.
    Kosova D.
    Öztürk G.
    Rendiconti del Circolo Matematico di Palermo Series 2, 2018, 67 (1): : 59 - 66
  • [23] Regular polygons in higher dimensional Euclidean spaces
    Korchmáros G.
    Kozma J.
    Journal of Geometry, 2014, 105 (1) : 43 - 55
  • [24] Effectiveness of the Euclidean distance in high dimensional spaces
    Xia, Shuyin
    Xiong, Zhongyang
    Luo, Yueguo
    Xu, Wei
    Zhang, Guanghua
    OPTIK, 2015, 126 (24): : 5614 - 5619
  • [25] LOCAL SMOOTH ISOMETRIC EMBEDDINGS OF LOW DIMENSIONAL RIEMANNIAN-MANIFOLDS INTO EUCLIDEAN SPACES
    NAKAMURA, G
    MAEDA, Y
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 313 (01) : 1 - 51
  • [26] New bounds for equiangular lines
    Barg, Alexander
    Yu, Wei-Hsuan
    DISCRETE GEOMETRY AND ALGEBRAIC COMBINATORICS, 2014, 625 : 111 - 121
  • [27] Cut lattices and equiangular lines
    Deza, M
    Grishukhin, VP
    EUROPEAN JOURNAL OF COMBINATORICS, 1996, 17 (2-3) : 143 - 156
  • [28] Equiangular lines with a fixed angle
    Jiang, Zilin
    Tidor, Jonathan
    Yao, Yuan
    Zhang, Shengtong
    Zhao, Yufei
    ANNALS OF MATHEMATICS, 2021, 194 (03) : 729 - 743
  • [29] CROSS PRODUCTS OF VECTORS IN HIGHER DIMENSIONAL EUCLIDEAN SPACES
    MASSEY, WS
    AMERICAN MATHEMATICAL MONTHLY, 1983, 90 (10): : 697 - 701
  • [30] ON PARTIAL ISOMETRIES IN FINITE-DIMENSIONAL EUCLIDEAN SPACES
    ERDELYI, I
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1966, 14 (03) : 453 - &
12345