Construction of D-optimal designs for \(N\equiv 2\,mod\,4\) using block-circulant matrices

DOI10.1016/0097-3165(85)90051-2zbMath0577.05020OpenAlexW1983624079MaRDI QIDQ1065811

Theo Chadjipantelis, Stratis Kounias, Chronis Moyssiadis

Publication date: 1985

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(85)90051-2

zbMATH Keywords

Circulant matricesD-optimal saturated designs

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items (11)

Effective algorithms with circulant-block matrices ⋮ A construction method of new \(D\)-, \(A\)-optimal weighing designs when \(N\equiv 3\bmod 4\) and \(k\leq N-1\) ⋮ A construction of D-optimal designs for N\(\equiv 2\) 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 ⋮ Fast algorithms for solving FLS \(R\)-factor block circulant linear systems and inverse problem of \(\mathcal{A} X = b\) ⋮ Supplementary difference sets and optimal designs ⋮ A D-optimal design of order 150 ⋮ The non-equivalent circulant \(D\)-optimal designs for \(n\equiv 2\bmod 4\), \(n\leqslant 54\), \(n=66\) ⋮ Supplementary difference sets and D-optimal designs for n\(\equiv 2\) mod 4

Cites Work

• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
• Some Optimum Weighing Designs
• 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

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