Nonexistence of certain perfect arrays

DOI10.1016/0012-365X(94)90150-3zbMath0796.05010OpenAlexW2043865674MaRDI QIDQ1322259

Man-Keung Siu, Siu Lun Ma, Wai Kiu Chan

Publication date: 5 May 1994

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(94)90150-3

zbMATH Keywords

perfect binary arraysMenon difference set

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (5)

Cyclotomic integers and finite geometry ⋮ Nested Hadamard difference sets ⋮ The combinatorics of binary arrays ⋮ Necessary conditions for Menon difference sets ⋮ On reversible abelian Hadamard difference sets

Cites Work

• On rational circulants satisfying \(A^ m=dI+\lambda J\)
• Sub-difference sets of Hadamard difference sets
• Difference sets in Abelian 2-groups
• Generalized perfect arrays and Menon difference sets
• Perfect binary arrays and difference sets
• Necessary conditions for Menon difference sets
• Character sums and difference sets
• Cyclic difference sets
• Two-dimensional binary arrays with good autocorrelation
• Summary of perfect s×t arrays, 1≤s≤t≤100
• Infinite families of perfect binary arrays
• On the synthesis of two-dimensional arrays with desirable correlation properties
• On Difference Sets Whose Parameters Satisfy a Certain Relation
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