Partial difference sets in \(C_{2^n} \times C_{2^n}\)

DOI10.1016/j.disc.2019.111744zbMath1433.05335arXiv1811.11223OpenAlexW2997686875MaRDI QIDQ2297723

Ken W. Smith, Martin E. Malandro

Publication date: 20 February 2020

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11223

zbMATH Keywords

strongly regular graphabelian grouppartial difference setHadamard difference setLatin square graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Enumeration in graph theory (05C30) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Graph algorithms (graph-theoretic aspects) (05C85)

Related Items (3)

Packings of partial difference sets ⋮ Restrictions on parameters of partial difference sets in nonabelian groups ⋮ Partial difference sets in \(C_{2^n} \times C_{2^n}\)

Uses Software

• GAP
• SageMath

Cites Work

• Partial difference sets
• A survey of partial difference sets
• Some necessary conditions on the parameters of partial difference sets
• Partial difference sets in \(C_{2^n} \times C_{2^n}\)
• Strongly regular Cayley graphs over the group \({\mathbb Z}_{p^n}\oplus {\mathbb Z}_{p^n}\)
• Strongly regular graphs, partial geometries and partially balanced designs
• The Geometry of Two-Weight Codes
• Automorphisms of Finite Abelian Groups
• The pseudo-geometric graphs for generalized quadrangles of order \((3,t)\)
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