Goethals-Seidel difference families with symmetric or skew base blocks

DOI10.1007/s11786-018-0381-1zbMath1444.05028arXiv1802.00556OpenAlexW2963209473WikidataQ129217008 ScholiaQ129217008MaRDI QIDQ1616202

Ilias S. Kotsireas, Dragomir Ž. Djoković

Publication date: 1 November 2018

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00556

zbMATH Keywords

difference familiesbest matricesG-matricesgood matricesGoethals-Seidel array

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 (3)

A new family of Hadamard matrices of order \(4 (2 q^2+1)\) ⋮ The SAT+CAS method for combinatorial search with applications to best matrices ⋮ Computational methods for difference families in finite abelian groups

Cites Work

• Symmetric Hadamard matrices of order 116 and 172 exist
• Williamson matrices up to order 59
• On Hadamard matrices
• Skew-Hadamard matrices of order 2(q + 1)
• An infinite family of Goethals-Seidel arrays
• On good matrices, skew Hadamard matrices and optimal designs
• Combinatorics. Room squares, sum-free sets, Hadamard matrices
• On circulant best matrices and their applications
• Supplementary difference sets with symmetry for Hadamard matrices
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