Square (1,−1)-matrices with large determinants and near-Hadamard matrices
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.
National Natural Science Foundation of China;National Natural Science Foundation of China;National Natural Science Foundation of China;Japan Society for the Promotion of Science[18K03395];Japan Society for the Promotion of Science[20K03719];
|WOS Research Area|
Mathematics, Applied ; Mathematics
|WOS Accession No|
|EI Accession Number|
|ESI Classification Code|
Algebra:921.1 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
|ESI Research Field|
Cited Times [WOS]:0
|Document Type||Journal Article|
|Department||Department of Mathematics|
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
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.
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.
Momihara，Koji,et al."Square (1,−1)-matrices with large determinants and near-Hadamard matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 654(2022):28-55.
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