Square \((1,-1)\)-matrices with large determinants and near-Hadamard matrices
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Publication:2080241
DOI10.1016/j.laa.2022.08.028zbMath1500.15026OpenAlexW4293571645WikidataQ114151209 ScholiaQ114151209MaRDI QIDQ2080241
Qing Xiang, Koji Momihara, Sho Suda
Publication date: 7 October 2022
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2022.08.028
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Boolean and Hadamard matrices (15B34)
Cites Work
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- The maximal determinant of cocyclic (-1,1)-matrices over \(D_{2t}\)
- Supplementary difference sets and optimal designs
- An infinite class of supplementary difference sets and Williamson matrices
- On the existence of abelian Hadamard difference sets and a new family of difference sets
- Cyclotomy and strongly regular graphs
- General lower bounds on maximal determinants of binary matrices
- A survey of the Hadamard maximal determinant problem
- Almost supplementary difference sets and quaternary sequences with optimal autocorrelation
- New constructions of Hadamard matrices
- New Hadamard matrices of order \(4p^{2}\) obtained from Jacobi sums of order 16
- An infinite class of Williamson matrices
- An infinite family of Hadamard matrices of Williamson type
- Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
- Expander graphs in pure and applied mathematics
- D-optimal designs and group divisible designs
- Expander graphs and their applications
- A new family of almost difference sets and some necessary conditions
- Skew-Hadamard Matrices of the Goethals-Seidel Type
- Probabilistic lower bounds on maximal determinants of binary matrices
- Orthogonal Designs
- On Determinants with Elements ±1, II
- On Hadamard's inequality for the determinants of order non-divisible by 4
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