Inner Product Vectors for Skew-Hadamard Matrices

DOI10.1007/978-3-319-17729-8_14zbMath1329.05045OpenAlexW2340367011MaRDI QIDQ3466758

Yustina S. Suharini, Jennifer Seberry Wallis, Ilias S. Kotsireas

Publication date: 25 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17729-8_14

zbMATH Keywords

Hadamard matricesskew-Hadamard matricessupplementary difference setsgood matricesSeberry-Williamson array

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Sign pattern matrices (15B35)

Cites Work

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• Williamson matrices up to order 59
• Skew Hadamard matrices of order \(4\times{}37\) and \(4\times{}43\)
• Williamson matrices of order \(4n\) for \(n = 33, 35, 39\)
• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• Hadamard's determinant theorem and the sum of four squares
• Discovery of an Hadamard matrix of order 92
• Skew-Hadamard matrices of orders 436, 580, and 988 exist
• Skew-Hadamard matrices of orders 188 and 388 exist
• Some New Orders of Hadamard and Skew‐Hadamard Matrices
• A new construction for Hadamard matrices
• A skew-Hadamard matrix of order 92
• A skew Hadamard matrix of order 36
• Combinatorial matrices
• Some classes of Hadamard matrices with constant diagonal

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