Divisible difference sets with multiplier -1

DOI10.1016/0021-8693(90)90067-XzbMath0706.05012MaRDI QIDQ918554

Alexander Pott, K. T. Arasu, Dieter Jungnickel

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

divisible difference setreversible design

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (25)

A survey of partial difference sets ⋮ Strongly regular Cayley graphs with \(\lambda-\mu=-1\) ⋮ Partial difference sets in \(p\)-groups ⋮ Reversible \((m,n,k,\lambda_ 1,\lambda_ 2)\)-abelian divisible difference sets with \(k-\lambda_ 1\) nonsquare ⋮ A multiplier theorem for projections of affine difference sets ⋮ Relative difference sets with \(n=2\) ⋮ Toward the classification of biangular harmonic frames ⋮ Divisible design graphs ⋮ Divisible designs and semi-regular relative difference sets from additive Hadamard cocycles ⋮ Relative difference sets fixed by inversion. III: Cocycle theoretical approach ⋮ Necessary conditions for the existence of divisible designs ⋮ The Mann test for divisible difference sets ⋮ A technique for constructing divisible difference sets ⋮ Symmetric divisible designs with \(k-\lambda{}_ 1=1\) ⋮ Some constructions of group divisible designs with Singer groups ⋮ Abelian divisible difference sets with multiplier \(-1\) ⋮ Constructions of negabent functions over finite fields ⋮ Reversible relative difference sets ⋮ Relative difference sets fixed by inversion and Cayley graphs ⋮ On divisible design Cayley graphs ⋮ Relative and almost linking systems ⋮ Relative difference sets fixed by inversion. II: Character theoretical approach ⋮ New semiregular divisible difference sets ⋮ A note on new semi-regular divisible difference sets ⋮ Almost difference sets and reversible divisible difference sets

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