Williamson matrices up to order 59

DOI10.1007/s10623-007-9163-5zbMath1179.05023OpenAlexW2024144406MaRDI QIDQ1008988

W. H. Holzmann, B. Tayfeh-Rezaie, Hadi Kharaghani

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9163-5

zbMATH Keywords

Hadamard matricessymmetric circulant matricesWilliamson matrices

Mathematics Subject Classification ID

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

Related Items (13)

Goethals-Seidel difference families with symmetric or skew base blocks ⋮ Gröbner bases and cocyclic Hadamard matrices ⋮ On Good Matrices and Skew Hadamard Matrices ⋮ Inner Product Vectors for Skew-Hadamard Matrices ⋮ On the density of the set of known Hadamard orders ⋮ Williamson type Hadamard matrices with circulant components ⋮ Turyn type Williamson matrices up to order 99 ⋮ Construction of relative difference sets and Hadamard groups ⋮ The SAT+CAS method for combinatorial search with applications to best matrices ⋮ On D4t-Cocyclic Hadamard Matrices ⋮ Unnamed Item ⋮ Applying computer algebra systems with SAT solvers to the Williamson conjecture ⋮ MathCheck2: A SAT+CAS Verifier for Combinatorial Conjectures

Cites Work

• Unnamed Item
• Williamson Hadamard matrices and Gauss sums
• Hadamard matrices of the Williamson type of order 4\(\cdot m\), \(m=p\cdot q\) an exhaustive search for \(m=33\)
• Williamson matrices of orders \(4 \cdot 29\) and \(4 \cdot 31\)
• Williamson matrices of order \(4n\) for \(n = 33, 35, 39\)
• Williamson matrices and a conjecture of Ito's
• 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
• Hadamard Matrices of the Williamson Type
• Orthogonal Matrices with Zero Diagonal
• Orthogonal Matrices with Zero Diagonal. II

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