Lifting constructions of strongly regular Cayley graphs

DOI10.1016/j.ffa.2013.11.003zbMath1282.05224arXiv1212.5752OpenAlexW2127582285MaRDI QIDQ2637327

Qing Xiang, Koji Momihara

Publication date: 11 February 2014

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

Full work available at URL: https://arxiv.org/abs/1212.5752

zbMATH Keywords

Gauss sumstrongly regular graphquadratic formcyclotomic strongly regular graph

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 (6)

Packings of partial difference sets ⋮ Three-class association schemes from cyclotomy ⋮ Strongly regular Cayley graphs from partitions of subdifference sets of the Singer difference sets ⋮ Certain strongly regular Cayley graphs on \(F_{2^{2(2s+1)}}\) from cyclotomy ⋮ Construction of strongly regular Cayley graphs based on three-valued Gauss periods ⋮ New strongly regular decompositions of the complete graphs with prime power vertices

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