A survey of the Hadamard maximal determinant problem
From MaRDI portal
Publication:2121730
DOI10.37236/10367zbMath1486.05031arXiv2104.06756OpenAlexW4206842512MaRDI QIDQ2121730
Fintan Hegarty, Ronan Egan, Padraig Ó Catháin, Patrick J. Browne
Publication date: 4 April 2022
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.06756
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Boolean and Hadamard matrices (15B34)
Related Items
Majorization for \((0, \pm 1)\)-matrices, A short basis of the Stickelberger ideal of a cyclotomic field, Invariants of quadratic forms and applications in design theory, Square \((1,-1)\)-matrices with large determinants and near-Hadamard matrices
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The maximum determinant of 21\(\times 21\) \((+1,-1)\)-matrices and D-optimal designs
- The maximal \(\{-1,1\}\)-determinant of order 15
- Large-determinant sign matrices of order \(4k+1\)
- The excess of Hadamard matrices and optimal designs
- Supplementary difference sets and optimal designs
- Product of four Hadamard matrices
- Some infinite classes of special Williamson matrices and difference sets
- Advanced determinant calculus
- The maximum determinant of \(\pm 1\) matrices
- The Magma algebra system. I: The user language
- The D-optimal saturated designs of order 22
- Signed groups, sequences, and the asymptotic existence of Hadamard matrices
- General lower bounds on maximal determinants of binary matrices
- On a construction of regular Hadamard matrices
- Sir Thomas Muir, 1844--1934
- Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
- New Results on D-Optimal Matrices
- A Family of Difference Sets
- D-optimal designs and group divisible designs
- D-Optimal Matrices of Orders 118, 138, 150, 154 and 174
- Skew-Hadamard Matrices of the Goethals-Seidel Type
- Computation of Maximal Determinants of Binary Circulant Matrices
- Probabilistic lower bounds on maximal determinants of binary matrices
- On Orthogonal Matrices
- Orthogonal Designs
- On Determinants with Elements ±1, II
- Geometry of Quantum States
- Symmetric Bush-type Hadamard matrices of order $4m^4$ exist for all odd $m$
- On Hadamard's inequality for the determinants of order non-divisible by 4
- A Hadamard matrix of order 428
