Generalized perfect arrays and Menon difference sets

DOI10.1007/BF00124209zbMath0767.05030MaRDI QIDQ1200301

Jonathan Jedwab

Publication date: 16 January 1993

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

zbMATH Keywords

Abelian grouprelative difference setgeneralized perfect arraysMenon difference setperfect binary arrayperiodic autocorrelation

Mathematics Subject Classification ID

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

Related Items (19)

Relative difference sets and Hadamard matrices from perfect quaternionic arrays ⋮ A nonexistence result for Abelian Menon difference sets using perfect binary arrays ⋮ Nested Hadamard difference sets ⋮ Relative difference sets with \(n=2\) ⋮ A unifying construction for difference sets ⋮ Constructions of difference sets in nonabelian 2-groups ⋮ Almost supplementary difference sets and quaternary sequences with optimal autocorrelation ⋮ Paley partial difference sets in groups of order \(n^{4}\) and \(9n^{4}\) for any odd \(n>1\) ⋮ Two applications of relative difference sets: difference triangles and negaperiodic autocorrelation functions ⋮ Non-splitting abelian \((4t,2,4t,2t)\) relative difference sets and Hadamard cocycles ⋮ Cocyclic Hadamard matrices and difference sets ⋮ An introduction to cocyclic generalised Hadamard matrices ⋮ Using rational idempotents to show Turyn's bound is sharp ⋮ Necessary conditions for Menon difference sets ⋮ Generalized binary arrays from quasi-orthogonal cocycles ⋮ New constructions of Menon difference sets ⋮ Quasi-orthogonal cocycles, optimal sequences and a conjecture of Littlewood ⋮ A proof from the book, perchance ⋮ Nonexistence of certain perfect arrays

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