New weighing matrices and orthogonal designs constructed using two sequences with zero autocorrelation function---a review
type: Item
instance of: scholarly article
title: New weighing matrices and orthogonal designs constructed using two sequences with zero autocorrelation function---a review
zbMATH Open document ID: 0944.05014
DOI: 10.1016/S0378-3758(99)00006-3
author: Christos Koukouvinos
author: Jennifer Seberry
published in: Journal of Statistical Planning and Inference
publication date: 2000-05-01T00:00:00Z
review text: This is a review article summarizing the known results on the existence and non-existence of orthogonal designs and weighing matrices of order \(2n\), where \(n\) is odd. Some new results are also given using number theory, linear algebra and computer searches.
reviewed by: D. Raghavarao
Mathematics Subject Classification ID: 05B20
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 1375323
zbMATH Keywords: circulant matrices
zbMATH Keywords: autocorrelation function
zbMATH Keywords: orthogonal designs
zbMATH Keywords: weighing matrices
MaRDI profile type: Publication
cites work: Circulant weighing designs
cites work: Q4876989
cites work: Q4119216
cites work: Q4119215
cites work: Q4121912
cites work: Orthogonal desingns
cites work: Q4198777
cites work: Orthogonal Designs with Zero Diagonal
cites work: Q5284652
cites work: Q4933931
cites work: Symmetric Conference Matrices of Order pq 2 + 1
cites work: Construction of weighing matrices \(W(17,9)\) having the intersection number 8
cites work: Q5627526
cites work: New circulant weighing matrices of prime order in CW(31, 16), CW(71, 25), CW(127, 64)
cites work: New Hadamard matrices and conference matrices obtained via Mathon's construction
cites work: Q4026153
cites work: Q5676227
description: scientific article; zbMATH DE number 1375323