Denniston partial difference sets exist in the odd prime case

DOI10.1016/J.FFA.2024.102499zbMATH Open1548.05336MaRDI QIDQ6615556

Laura M. Johnson, James A. Davis, John B. Polhill, Sophie Huczynska

Publication date: 8 October 2024

Published in: Finite Fields and their Applications (Search for Journal in Brave)

zbMATH Keywords

strongly regular graphspartial difference setscyclotomyDenniston parameters

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Cyclotomy (11T22)

Cites Work

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• Maximal arcs in Desarguesian planes of odd order do not exist
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• Some new two-weight codes and strongly regular graphs
• Strongly regular graphs, partial geometries and partially balanced designs
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• 9. Cyclotomy, difference sets, sequences with low correlation, strongly regular graphs and related geometric substructures
• The Geometry of Two-Weight Codes
• A family of 2-weight codes related toBCH-codes
• On Orthogonal Matrices
• Partial difference sets with Denniston parameters in elementary abelian \(p\)-groups

Related Items (1)

Partial difference sets with Denniston parameters in elementary abelian \(p\)-groups

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