Construction of some SBIBD \((4k^ 2,2k^ 2+k,k^ 2+k)\) and Hadamard matrices with maximal excess

DOI10.1016/0378-3758(94)90117-1zbMath0797.62064OpenAlexW1998795403MaRDI QIDQ1330214

Christos Koukouvinos

Publication date: 12 July 1994

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(94)90117-1

zbMATH Keywords

Hadamard matricesmaximal excessWilliamson matricesSBIBDmethod of construction\(T\)-matricessymmetric balanced incomplete block designs

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Statistical block designs (62K10)

Related Items

The excess of complex Hadamard matrices

Cites Work

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• SBIBD(4k\({}^ 2,2k^ 2+k,k^ 2+k)\) and Hadamard matrices of order \(4k^ 2\) with maximal excess are equivalent
• Construction of some Hadamard matrices with maximum excess
• On the excess of Hadamard matrices
• On a series of Hadamard matrices of order \(2^ t\) and the maximal excess of Hadamard matrices of order \(2^{2t}\)
• On Hadamard matrices
• An infinite class of Williamson matrices
• On Composition of Four-Symbol δ-Codes and Hadamard Matrices
• A new construction for Hadamard matrices
• A construction for Hadamard arrays

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