Supplementary difference sets and D-optimal designs for n\(\equiv 2\) mod 4

DOI10.1016/0012-365X(85)90173-6zbMath0589.05020OpenAlexW1969611729MaRDI QIDQ1073799

Theo Chadjipantelis, Stratis Kounias

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(85)90173-6

zbMATH Keywords

difference familiessupplementary difference setsmaximum determinantD-optimal designs(1,-1)-matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items

Construction and analysis of edge designs from skew-symmetric supplementary difference sets, On the number of \(D\)-optimal designs, Optimal designs, supplementary difference sets and multipliers, On the excess of Hadamard matrices, Linear models and D-optimal designs for \(n\equiv 2\) \(\text{mod} 4\), Largest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problem, The non-equivalent circulant D-optimal designs for \(n=90\), The D-optimal saturated designs of order 22, Almost supplementary difference sets and quaternary sequences with optimal autocorrelation, Supplementary difference sets and optimal designs, Cyclic \((v;r,s;\lambda)\) difference families with two base blocks and \(v \leq 50\), Complex spherical codes with two inner products, A \(D\)-optimal design of order 102, Heuristic algorithms for Hadamard matrices with two circulant cores, Some characterizations of affinely full-dimensional factorial designs, On the Smith normal form of \(D\)-optimal designs, A D-optimal design of order 150, Evaluation of some non-orthogonal saturated designs with two levels, The non-equivalent circulant \(D\)-optimal designs for \(n\equiv 2\bmod 4\), \(n\leqslant 54\), \(n=66\)

Cites Work

• Construction of D-optimal designs for \(N\equiv 2\,mod\,4\) using block-circulant matrices
• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• Cyclic difference sets
• On supplementary difference sets
• Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
• Some Designs for Maximal (+1, -1)-Determinant of Order n ≡2 (mod 4)
• A construction for maximal $\left( { + 1, - 1} \right)$-matrix of order $54$
• On Designs of Maximal (+1, -1)-Matrices of Order n ≡2 (mod 4)
• On Designs of Maximal (+1, -1)-Matrices of Order n ≡2 (mod 4). II