Automorphisms of strongly regular graphs with applications to partial difference sets

DOI10.1007/s10623-015-0109-zzbMath1336.05086OpenAlexW1412242936MaRDI QIDQ281306

Stefaan De Winter, Ellen Kamischke, Zeying Wang

Publication date: 10 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10623-015-0109-z

zbMATH Keywords

strongly regular graphmultiplier theoremBenson's theorempartial difference set

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items (8)

Non-existence of two types of partial difference sets ⋮ Classification of partial difference sets in abelian groups of order \(4p^2\) ⋮ A new family of partial difference sets in 3-groups ⋮ Restrictions on parameters of partial difference sets in nonabelian groups ⋮ Results on partial geometries with an abelian Singer group of rigid type ⋮ Non-existence of partial difference sets in abelian groups of order \(8p^3\) ⋮ On prime order automorphisms of generalized quadrangles ⋮ A note on Moore Cayley digraphs

Cites Work

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• Partial difference sets
• Constructing two-weight codes with prescribed groups of automorphisms
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• Some necessary conditions on the parameters of partial difference sets
• Switching of edges in strongly regular graphs. I: A family of partial difference sets on 100 vertices
• Partial geometries \(\mathbf{pg}(s,t,\mathbf 2\)) with an abelian Singer group and a characterization of the van Lint-Schrijver partial geometry
• On the structure of generalized quadrangles
• The automorphism group of Payne derived generalized quadrangles

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