A proof from the book, perchance

DOI10.1007/s10801-020-01007-5zbMath1484.05027OpenAlexW3126832931MaRDI QIDQ2114783

John F. Dillon

Publication date: 15 March 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-020-01007-5

zbMATH Keywords

Fourier analysisHadamard matrixdifference set

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Finite abelian groups (20K01) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Uses Software

• GAP
• Magma

Cites Work

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• Some REALLY beautiful Hadamard matrices
• Variations on a scheme of McFarland for noncyclic difference sets
• Generalized perfect arrays and Menon difference sets
• Proof of a conjecture on Hadamard 2-groups
• On ``bent functions
• A summary of noncylic difference sets, \(k<20\)
• Transversals in row-latin rectangles
• The Magma algebra system. I: The user language
• Character sums and difference sets
• Cyclic difference sets
• A family of difference sets in non-cyclic groups
• Constructions of difference sets in nonabelian 2-groups
• Difference Sets in Abelian Groups
• Two-dimensional binary arrays with good autocorrelation
• Bent Functions
• On the synthesis of two-dimensional arrays with desirable correlation properties
• On Difference Sets Whose Parameters Satisfy a Certain Relation
• Difference Sets in a Finite Group

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