On skew-Hadamard matrices
type: Item
instance of: scholarly article
title: On skew-Hadamard matrices
zbMATH Open document ID: 1159.05011
published in: Discrete Mathematics
publication date: 2008-05-29T00:00:00Z
review text: Skew-Hadamard matrices are of special interest due to their use among others in constructing orthogonal designs. In this noteworthy paper, the authors give an excellent survey on the existence and equivalence of skew-Hadamard matrices, giving useful tables and summaries of methods. In addition, they present some new skew-Hadamard matrices of order 52 and improve the known lower bound (from 1 to 561) on the number of skew-Hadamard matrices of this order.
reviewed by: Spencer P. Hurd
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 62K05
zbMATH DE Number: 5280707
zbMATH Keywords: skew-Hadamard matrices
zbMATH Keywords: good matrices
zbMATH Keywords: G-matrices
zbMATH Keywords: best matrices
zbMATH Keywords: optimal designs
zbMATH Keywords: constructions
author: Christos Koukouvinos
author: S. Stylianou
MaRDI profile type: Publication
full work available at URL: j.disc.2006.06.037
OpenAlex ID: W2034102356
cites work: Q4865130
cites work: A Skew Hadamard Matrix of Order 52
cites work: Q4180367
cites work: Q4876961
cites work: Skew Hadamard matrices of order \(4\times{}37\) and \(4\times{}43\)
cites work: Q4696390
cites work: Construction of some new Hadamard matrices
cites work: Q4288080
cites work: Q4325301
cites work: Q4343032
cites work: Skew-Hadamard matrices of orders 188 and 388 exist
cites work: Screening by conference designs
cites work: New skew-Hadamard matrices of order \(4\cdot 59\) and new \(D\)-optimal designs of order \(2\cdot 59\)
cites work: Q4532753
cites work: Q5488269
cites work: On circulant best matrices and their applications
cites work: On good matrices, skew Hadamard matrices and optimal designs
cites work: Q4662348
cites work: Construction of new skew Hadamard matrices and their use in screening experiments
cites work: Q4198777
cites work: A skew Hadamard matrix of order 36
cites work: A Hadamard matrix of order 428
cites work: Q4309134
cites work: Some D-optimal weighing designs for n=3 (mod 4)
cites work: On Orthogonal Matrices
cites work: (v, k, λ) Configurations and Hadamard matrices
cites work: A skew-Hadamard matrix of order 92
cites work: Some \((1, -1)\) matrices
cites work: On supplementary difference sets
cites work: On Hadamard matrices
cites work: Construction of Williamson type matrices
cites work: Q3048845
cites work: Some classes of Hadamard matrices with constant diagonal
cites work: Q4026153
cites work: Skew-Hadamard matrices of order 2(q + 1)
cites work: Cyclotomy and complementary difference sets
cites work: Q3977427
cites work: Combinatorics. Room squares, sum-free sets, Hadamard matrices
cites work: An infinite family of skew Hadamard matrices
cites work: Skew Hadamard matrices of Goethals-Seidel type
cites work: Q4853748
DOI: 10.1016/J.DISC.2006.06.037
description: scientific article; zbMATH DE number 5280707