Strongly regular Cayley graphs from partitions of subdifference sets of the Singer difference sets

DOI10.1016/j.ffa.2017.11.010zbMath1380.05203arXiv1706.05460OpenAlexW2962700959MaRDI QIDQ1696758

Koji Momihara, Qing Xiang

Publication date: 15 February 2018

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

Full work available at URL: https://arxiv.org/abs/1706.05460

zbMATH Keywords

strongly regular graphquadratic form\(m\)-ovoidSinger difference set\(i\)-tight setaffine polar graphsubdifference set

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10)

Related Items

Packings of partial difference sets ⋮ Restrictions on parameters of partial difference sets in nonabelian groups ⋮ Constructions and restrictions for balanced splittable Hadamard matrices ⋮ Non-existence of partial difference sets in abelian groups of order \(8p^3\) ⋮ Construction of strongly regular Cayley graphs based on three-valued Gauss periods ⋮ On \(m\)-ovoids of symplectic polar spaces

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