Hadamard matrices of the Williamson type of order 4\(\cdot m\), \(m=p\cdot q\) an exhaustive search for \(m=33\)

DOI10.1016/0012-365X(88)90040-4zbMath0667.05010MaRDI QIDQ1117230

Stratis Kounias, Christos Koukouvinos

Publication date: 1988

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

circulant matricesWilliamson type matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20)

Related Items (8)

Combining SAT solvers with computer algebra systems to verify combinatorial conjectures ⋮ Williamson matrices of orders \(4 \cdot 29\) and \(4 \cdot 31\) ⋮ Williamson matrices of order \(4n\) for \(n = 33, 35, 39\) ⋮ Williamson matrices up to order 59 ⋮ SBIBD(4k\({}^ 2,2k^ 2+k,k^ 2+k)\) and Hadamard matrices of order \(4k^ 2\) with maximal excess are equivalent ⋮ Unnamed Item ⋮ Applying computer algebra systems with SAT solvers to the Williamson conjecture ⋮ Construction of some Hadamard matrices with maximum excess

Cites Work

• Unnamed Item
• On the Williamson type j matrices of orders \(4\cdot 29\), \(4\cdot 41\), and \(4\cdot 37\)
• Recurrence formulas for the construction of Williamson-type matrices
• On Hadamard matrices
• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• An infinite class of Williamson matrices
• An infinite family of Hadamard matrices of Williamson type
• Hadamard's determinant theorem and the sum of four squares
• Discovery of an Hadamard matrix of order 92
• Construction of Williamson type matrices
• Hadamard Matrices of the Williamson Type
• Hadamard matrices of orders 116 and 232
• Hadamard matrices and their applications

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