The non-equivalent circulant \(D\)-optimal designs for \(n\equiv 2\bmod 4\), \(n\leqslant 54\), \(n=66\)

DOI10.1016/0097-3165(94)90035-3zbMath0788.62067OpenAlexW2042363186MaRDI QIDQ1317453

N. Nikolaou, A. Kakos, Christos Koukouvinos, Stratis Kounias

Publication date: 17 April 1994

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(94)90035-3

zbMATH Keywords

non-equivalent circulant \(D\)-optimal designsnon-equivalent supplementary difference setsunique non-equivalent circulant design

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Statistical tables (62Q05)

Related Items (11)

On the number of \(D\)-optimal designs ⋮ Largest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problem ⋮ The non-equivalent circulant D-optimal designs for \(n=90\) ⋮ Circulant matrices and Galois-Togliatti systems ⋮ The D-optimal saturated designs of order 22 ⋮ Cyclic \((v;r,s;\lambda)\) difference families with two base blocks and \(v \leq 50\) ⋮ Compression of periodic complementary sequences and applications ⋮ Determinant evaluations for binary circulant matrices ⋮ Some characterizations of affinely full-dimensional factorial designs ⋮ On the Smith normal form of \(D\)-optimal designs ⋮ A D-optimal design of order 150

Cites Work

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• The existence of symmetric block designs with parameters \((41,16,6)\) and \((66,26,10)\)
• Construction of D-optimal designs for \(N\equiv 2\,mod\,4\) using block-circulant matrices
• Supplementary difference sets and D-optimal designs for n\(\equiv 2\) mod 4
• A construction of D-optimal designs for N\(\equiv 2\) mod 4
• Codes and designs
• Supplementary difference sets and optimal designs
• A \(D\)-optimal design of order 102
• Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
• Maximal Binary Matrices and Sum of Two Squares
• On Determinants with Elements ±1, II
• 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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