The excess of Hadamard matrices and optimal designs
From MaRDI portal
Publication:1106848
DOI10.1016/0012-365X(87)90025-2zbMath0652.05006OpenAlexW1999317819MaRDI QIDQ1106848
Nikos Farmakis, Stratis Kounias
Publication date: 1987
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0012-365x(87)90025-2
Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)
Related Items
A survey of the Hadamard maximal determinant problem ⋮ The excess of complex Hadamard matrices ⋮ A new approach to the excess problem of Hadamard matrices ⋮ Large-determinant sign matrices of order \(4k+1\) ⋮ On the excess of Hadamard matrices ⋮ Some results for almost \(D\)-optimal experimental designs ⋮ General lower bounds on maximal determinants of binary matrices ⋮ Hadamard matrices of order \(\equiv{} 8\)(mod 16) with maximal excess ⋮ Conference matrices with maximum excess and two-intersection sets ⋮ SBIBD(4k\({}^ 2,2k^ 2+k,k^ 2+k)\) and Hadamard matrices of order \(4k^ 2\) with maximal excess are equivalent ⋮ The excess problem and some excess inequivalent matrices of order 32 ⋮ Evaluation of some non-orthogonal saturated designs with two levels ⋮ Construction of some Hadamard matrices with maximum excess ⋮ Constructions of A-optimal weighing designs when \(n=19\) ⋮ An infinite class of Hadamard matrices of maximal excess
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The maximum determinant of 21\(\times 21\) \((+1,-1)\)-matrices and D-optimal designs
- The exact D-optimal first order saturated design with 17 observations
- The existence of symmetric block designs with parameters \((41,16,6)\) and \((66,26,10)\)
- The weights of Hadamard matrices
- On maximal weights of Hadamard matrices
- Combinatorics. Room squares, sum-free sets, Hadamard matrices
- Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
- Some Optimum Weighing Designs
