New restrictions on possible orders of circulant Hadamard matrices

被引:0
|
作者
Ka Hin Leung
Bernhard Schmidt
机构
[1] National University of Singapore,Department of Mathematics
[2] Nanyang Technological University,Division of Mathematical Sciences, School of Physical & Mathematical Sciences
来源
关键词
Circulant Hadamard matrices; Barker sequences; Field descent; 15B34; 05B10;
D O I
暂无
中图分类号
学科分类号
摘要
We obtain several new number theoretic results which improve the field descent method. We use these results to rule out many of the known open cases of the circulant Hadamard matrix conjecture. In particular, the only known open case of the Barker sequence conjecture is settled.
引用
收藏
页码:143 / 151
页数:8
相关论文
共 50 条
  • [31] Using Swarm Intelligence to Search for Circulant Partial Hadamard Matrices
    Phoa, Frederick Kin Hing
    Lin, Yuan-Lung
    Wang, Tai-Chi
    ADVANCES IN SWARM INTELLIGENCE, PT1, 2014, 8794 : 158 - 164
  • [32] Hadamard Matrices of Orders 60 and 64 with Automorphisms of Orders 29 and 31
    Araya, Makoto
    Harada, Masaaki
    Tonchev, Vladimir D.
    ELECTRONIC JOURNAL OF COMBINATORICS, 2024, 31 (01):
  • [33] A NEW CONSTRUCTION FOR HADAMARD-MATRICES OF ORDERS 8T+4
    LONGYEAR, JQ
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1985, 38 (01) : 99 - 104
  • [34] Inequivalent projections of Hadamard matrices of orders 16 and 20
    H. Evangelaras
    S. Georgiou
    C. Koukouvinos
    Metrika, 2003, 57 : 29 - 35
  • [35] On the complete pivoting conjecture for hadamard matrices of small orders
    Koukouvinos, C
    Lappas, E
    Mitrouli, M
    Seberry, J
    JOURNAL OF RESEARCH AND PRACTICE IN INFORMATION TECHNOLOGY, 2001, 33 (04): : 298 - 309
  • [36] Inequivalent projections of Hadamard matrices of orders 16 and 20
    Evangelaras, H
    Georgiou, S
    Koukouvinos, C
    METRIKA, 2003, 57 (01) : 29 - 35
  • [37] Construction of New Hadamard Matrices Using Known Hadamard Matrices
    Farouk, Adda
    Wang, Qing-Wen
    FILOMAT, 2022, 36 (06) : 2025 - 2042
  • [38] The quaternary complex Hadamard matrices of orders 10, 12, and 14
    Lampio, Pekka H. J.
    Szoellosi, Ferenc
    Ostergard, Patric R. J.
    DISCRETE MATHEMATICS, 2013, 313 (02) : 189 - 206
  • [39] New constructions of Hadamard matrices
    Leung, Ka Hin
    Momihara, Koji
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2020, 171
  • [40] A NEW CONSTRUCTION FOR HADAMARD MATRICES
    BAUMERT, LD
    HALL, M
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 71 (01) : 169 - &