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
  • [21] Small circulant complex Hadamard matrices of Butson type
    Hiranandani, Gaurush
    Schlenker, Jean-Marc
    EUROPEAN JOURNAL OF COMBINATORICS, 2016, 51 : 306 - 314
  • [22] Heuristic algorithms for Hadamard matrices with two circulant cores
    Chiarandini, M.
    Kotsireas, I. S.
    Koukouvinos, C.
    Paquete, L.
    THEORETICAL COMPUTER SCIENCE, 2008, 407 (1-3) : 274 - 277
  • [23] Antipodal Polygons and Half-Circulant Hadamard Matrices
    Medianik, A. I.
    JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2010, 6 (01) : 56 - 72
  • [24] Constructions and restrictions for balanced splittable Hadamard matrices
    Jedwab, Jonathan
    Li, Shuxing
    Simon, Samuel
    ELECTRONIC JOURNAL OF COMBINATORICS, 2023, 30 (01):
  • [25] The Hadamard product of circulant matrices on three symbols that are inverses of M-matrices
    Goldberger, A
    Neumann, M
    LINEAR & MULTILINEAR ALGEBRA, 2002, 50 (02): : 143 - 149
  • [26] ON QUATERNARY COMPLEX HADAMARD MATRICES OF SMALL ORDERS
    Szoellosi, Ferenc
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2011, 5 (02) : 309 - 315
  • [27] Circulant 16-modular Hadamard matrices and Jacobi sums
    Eliahou, S
    Kervaire, M
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2002, 100 (01) : 116 - 135
  • [28] On A Special Case Of A Conjecture Of Ryser About Hadamard Circulant Matrices
    Gallardo, Luis
    APPLIED MATHEMATICS E-NOTES, 2012, 12 : 182 - 188
  • [29] Genetic algorithms for the construction of Hadamard matrices with two circulant cores
    Kotsireas, Ilias S.
    Koukouvinos, Christos
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2005, 8 (02): : 241 - 250
  • [30] Sufficient conditions for a conjecture of Ryser about Hadamard Circulant matrices
    Euler, Reinhardt
    Gallardo, Luis H.
    Rahavandrainy, Olivier
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (12) : 2877 - 2886