Some necessary conditions on the parameters of partial difference sets

DOI10.1016/S0378-3758(96)00167-XzbMath0878.05012MaRDI QIDQ1365495

M. García

Publication date: 5 January 1998

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

partial difference setscharacterization

Mathematics Subject Classification ID

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

Related Items (8)

Non-existence of two types of partial difference sets ⋮ Automorphisms of strongly regular graphs with applications to partial difference sets ⋮ Multiplied configurations induced by quasi difference sets ⋮ Classification of partial difference sets in abelian groups of order \(4p^2\) ⋮ Non-existence of partial difference sets in abelian groups of order \(8p^3\) ⋮ Proper partial geometries with Singer groups and pseudogeometric partial difference sets ⋮ On the \(q\)-bentness of Boolean functions ⋮ Partial difference sets in \(C_{2^n} \times C_{2^n}\)

Cites Work

• Partial difference sets
• The diophantine equation \(x^ 2=4q^{a/2}+4q+1\), with an application to coding theory
• McFarland's conjecture on abelian difference sets with multiplier \(-1\)
• On subsets of partial difference sets
• A survey of partial difference sets
• Abelian difference sets with multiplier minus one
• On Uniformly Packed [n , n -k , 4 Codes over GF(q ) and a Class of Caps in PG(k -1, q )]
• The Geometry of Two-Weight Codes
• Two addition theorems

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