The construction of regular Hadamard matrices by cyclotomic classes

DOI10.1007/S41980-020-00402-9zbMath1466.05021OpenAlexW3035975090MaRDI QIDQ2043530

Tianbing Xia, Ming-Yuan Xia, Jennifer Seberry Wallis

Publication date: 2 August 2021

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-020-00402-9

zbMATH Keywords

partitioncyclotomic classregular Hadamard matrixsupplement difference sets (SDS)

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Cites Work

• Uniform cyclotomy
• An infinite class of supplementary difference sets and Williamson matrices
• Difference families from lines and half lines
• A new method for constructing Williamson matrices
• Finite geometry and character theory
• A new family of supplementary difference sets and Hadamard matrices
• New Hadamard matrices of order \(4p^{2}\) obtained from Jacobi sums of order 16
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