Cocyclic Hadamard matrices and hadamard groups are equivalent

被引：46
|
作者：
Flannery, DL
机构：
[1] Fac. of Info. Sci. and Engineering, University of Canberra, GPO Box 1, Belconnen
来源：
JOURNAL OF ALGEBRA | 1997年 / 192卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
D O I：
10.1006/jabr.1996.6949
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that the concepts of cocyclic Hadamard matrix and Hadamard group are equivalent. A general procedure for constructing Hadamard groups and classifying such groups on the basis of isomorphism type is given. To illustrate the ideas, cocyclic Hadamard matrices over dihedral groups are constructed and the corresponding Hadamard groups classified. (C) 1997 Academic Press.
引用
收藏
页码：749 / 779
页数：31
相关论文
共 50 条
  • [21] The homological reduction method for computing cocyclic Hadamard matrices
    Alvarez, V.
    Armario, J. A.
    Frau, M. D.
    Real, P.
    JOURNAL OF SYMBOLIC COMPUTATION, 2009, 44 (05) : 558 - 570
  • [22] The cocyclic Hadamard matrices of order less than 40
    Padraig Ó Catháin
    Marc Röder
    Designs, Codes and Cryptography, 2011, 58 : 73 - 88
  • [23] Cocyclic Hadamard codes
    Horadam, KJ
    1998 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 1998, : 246 - 246
  • [24] Cocyclic Hadamard codes
    Horadam, KJ
    Udaya, P
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (04) : 1545 - 1550
  • [25] On Cocyclic Hadamard Matrices over Goethals-Seidel Loops
    Alvarez, Victor
    Armario, Jose Andres
    Falcon, Raul M.
    Frau, Maria Dolores
    Gudiel, Felix
    Guemes, Maria Belen
    Osuna, Amparo
    MATHEMATICS, 2020, 8 (01)
  • [26] On Zt x Z22-Cocyclic Hadamard Matrices
    Alvarez, Victor
    Gudiel, Felix
    Belen Gueemes, Maria
    JOURNAL OF COMBINATORIAL DESIGNS, 2015, 23 (08) : 352 - 368
  • [27] Calculating cocyclic Hadamard matrices in Mathematica:: Exhaustive and heuristic searches
    Alvarez, V.
    Armario, J. A.
    Frau, M. D.
    Real, P.
    MATHEMATICAL SOFTWARE-ICMS 2006, PROCEEDINGS, 2006, 4151 : 419 - 422
  • [28] Constructing cocyclic Hadamard matrices of order 4p
    Acevedo, Santiago Barrera
    Cathain, Padraig O.
    Dietrich, Heiko
    JOURNAL OF COMBINATORIAL DESIGNS, 2019, 27 (11) : 627 - 642
  • [29] Cocyclic Generalised Hadamard Matrices and Central Relative Difference Sets
    Perera A.A.I.
    Horadam K.J.
    Designs, Codes and Cryptography, 1998, 15 (2) : 187 - 200
  • [30] A Heuristic Procedure with Guided Reproduction for Constructing Cocyclic Hadamard Matrices
    Alvarez, V.
    Frau, M. D.
    Osuna, A.
    ADAPTIVE AND NATURAL COMPUTING ALGORITHMS, 2009, 5495 : 150 - 160
12345