Negative Latin square type partial difference sets in nonabelian groups of order 64

DOI10.1016/j.ffa.2022.102044zbMath1493.05041arXiv2201.04964OpenAlexW4226379825MaRDI QIDQ2135572

Andrew C. Brady

Publication date: 9 May 2022

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

Full work available at URL: https://arxiv.org/abs/2201.04964

zbMATH Keywords

strongly regular graphpartial difference setnonabelian groupnegative Latin square type

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Uses Software

• GAP
• GRAPE

Cites Work

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• A new product construction for partial difference sets
• The Geometry of Two-Weight Codes
• NEGATIVE LATIN SQUARE TYPE PARTIAL DIFFERENCE SETS IN NONELEMENTARY ABELIAN 2-GROUPS
• Packings of partial difference sets
• Some maximal arcs in finite projective planes
• The pseudo-geometric graphs for generalized quadrangles of order \((3,t)\)

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