Relative difference sets and Hadamard matrices from perfect quaternionic arrays

DOI10.1007/s11786-018-0376-yzbMath1444.05027OpenAlexW2891060787MaRDI QIDQ1616205

Santiago Barrera Acevedo, Heiko Dietrich

Publication date: 1 November 2018

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

Full work available at URL: https://doi.org/10.1007/s11786-018-0376-y

zbMATH Keywords

Hadamard matricesrelative difference setsquaternionsperfect arrays

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 (1)

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Cites Work

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• A note on products of relative difference sets
• Generalized perfect arrays and Menon difference sets
• Perfect sequences over the quaternions and \((4n, 2, 4n, 2n)\)-relative difference sets in \(C_n \times Q_8\)
• Williamson matrices and a conjecture of Ito's
• A new family of arrays with low autocorrelation
• Perfect arrays of unbounded sizes over the basic quaternions
• Perfect Sequences of Unbounded Lengths over the Basic Quaternions
• Inflation of Perfect Arrays Over the Basic Quaternions of Size $$mn=(q+1)/2$$
• Two-dimensional perfect quaternary arrays

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