New Results on D-Optimal Matrices

DOI10.1002/jcd.21302zbMath1247.05037arXiv1103.3626OpenAlexW3121818856MaRDI QIDQ2909599

Dragomir Ž. Djoković, Ilias S. Kotsireas

Publication date: 30 August 2012

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.3626

zbMATH Keywords

D-optimal matricessupplementary difference sets (SDS)

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 (7)

A survey of the Hadamard maximal determinant problem ⋮ A class of cyclic \((v; k_{1}, k_{2}, k_{3}; \lambda)\) difference families with \(v \equiv 3\, (\text{mod}\, 4)\) a prime ⋮ Symmetric Hadamard matrices of order 116 and 172 exist ⋮ A feasibility approach for constructing combinatorial designs of circulant type ⋮ Compression of periodic complementary sequences and applications ⋮ Hard satisfiable 3-SAT instances via autocorrelation ⋮ Some new periodic Golay pairs

Cites Work

• Cyclic \((v;r,s;\lambda)\) difference families with two base blocks and \(v \leq 50\)
• Supplementary difference sets and optimal designs
• A \(D\)-optimal design of order 102
• Optimal designs, supplementary difference sets and multipliers
• A D-optimal design of order 150
• New skew-Hadamard matrices of order \(4\cdot 59\) and new \(D\)-optimal designs of order \(2\cdot 59\)
• D-optimal matrices via quadratic integer optimization
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