Sub-difference sets of Hadamard difference sets

DOI10.1016/0097-3165(90)90009-LzbMath0728.05012MaRDI QIDQ804577

Robert L. McFarland

Publication date: 1990

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

Hadamard difference setHDSmultipliers of difference sets

Mathematics Subject Classification ID

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

Related Items (23)

A survey of partial difference sets ⋮ On various nonlinearity measures for Boolean functions ⋮ Cyclotomic integers and finite geometry ⋮ Non-abelian Hadamard difference sets ⋮ On \((p^ a,p,p^ a,p^{a-1})\)-relative difference sets ⋮ Lifting constructions of strongly regular Cayley graphs ⋮ A nonexistence result for Abelian Menon difference sets using perfect binary arrays ⋮ Nested Hadamard difference sets ⋮ New necessary conditions for abelian Hadamard difference sets ⋮ Linear codes and the existence of a reversible Hadamard difference set in \(\mathbb{Z}_ 2\times \mathbb{Z}_ 2\times \mathbb{Z}_ 5^ 4\) ⋮ Classification of partial difference sets in abelian groups of order \(4p^2\) ⋮ Strongly regular Cayley graphs from partitions of subdifference sets of the Singer difference sets ⋮ New restrictions on possible orders of circulant Hadamard matrices ⋮ Divisible difference sets with multiplier -1 ⋮ McFarland's conjecture on abelian difference sets with multiplier \(-1\) ⋮ Proper partial geometries with Singer groups and pseudogeometric partial difference sets ⋮ Hadamard difference sets related to Lander's conjecture ⋮ Reversible relative difference sets ⋮ Asymptotic nonexistence of difference sets in dihedral groups ⋮ Abelian difference sets with multiplier minus one ⋮ All two-weight irreducible cyclic codes? ⋮ Nonexistence of certain perfect arrays ⋮ On subsets of partial difference sets

Cites Work

• A special class of Williamson matrices and difference sets
• Difference sets with multiplier -1
• Character sums and difference sets
• Translates and Multipliers of Abelian Difference Sets
• On Multipliers of Difference Sets
• Two addition theorems
• On Difference Sets Whose Parameters Satisfy a Certain Relation
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