中文版 | English
Title

Square (1,−1)-matrices with large determinants and near-Hadamard matrices

Author
Corresponding AuthorMomihara,Koji
Publication Years
2022-12-01
DOI
Source Title
ISSN
0024-3795
EISSN
1873-1856
Volume654Pages:28-55
Abstract
We give explicit constructions of square (1,−1)-matrices of order congruent to 2 modulo 4 with large determinants. In particular, we construct nine families of near-Hadamard matrices based on almost supplementary difference sets with two blocks, and compute their determinants. As consequences, we obtain many (1,−1)-matrices which are almost D-optimal or have at least 80% D-efficiency.
Keywords
URL[Source Record]
Indexed By
SCI ; EI
Language
English
SUSTech Authorship
Others
Funding Project
National Natural Science Foundation of China[12071206];National Natural Science Foundation of China[12131011];National Natural Science Foundation of China[12150710510];Japan Society for the Promotion of Science[18K03395];Japan Society for the Promotion of Science[20K03719];
WOS Research Area
Mathematics
WOS Subject
Mathematics, Applied ; Mathematics
WOS Accession No
WOS:000860689600003
Publisher
EI Accession Number
20223712708663
EI Keywords
Set theory
ESI Classification Code
Algebra:921.1 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
ESI Research Field
MATHEMATICS
Scopus EID
2-s2.0-85137266792
Data Source
Scopus
Citation statistics
Cited Times [WOS]:0
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/401591
DepartmentDepartment of Mathematics
深圳国家应用数学中心
Affiliation
1.Division of Natural Science,Faculty of Advanced Science and Technology,Kumamoto University,Kumamoto,2-40-1 Kurokami,860-8555,Japan
2.Department of Mathematics,National Defense Academy of Japan,Yokosuka,Kanagawa,239-8686,Japan
3.Department of Mathematics,National Center for Applied Mathematics Shenzhen,Southern University of Science and Technology,Shenzhen,518055,China
Recommended Citation
GB/T 7714
Momihara,Koji,Suda,Sho,Xiang,Qing. Square (1,−1)-matrices with large determinants and near-Hadamard matrices[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2022,654:28-55.
APA
Momihara,Koji,Suda,Sho,&Xiang,Qing.(2022).Square (1,−1)-matrices with large determinants and near-Hadamard matrices.LINEAR ALGEBRA AND ITS APPLICATIONS,654,28-55.
MLA
Momihara,Koji,et al."Square (1,−1)-matrices with large determinants and near-Hadamard matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 654(2022):28-55.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Export to Excel
Export to Csv
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[Momihara,Koji]'s Articles
[Suda,Sho]'s Articles
[Xiang,Qing]'s Articles
Baidu Scholar
Similar articles in Baidu Scholar
[Momihara,Koji]'s Articles
[Suda,Sho]'s Articles
[Xiang,Qing]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Momihara,Koji]'s Articles
[Suda,Sho]'s Articles
[Xiang,Qing]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.