Pseudocyclic association schemes arising from the actions of PGL\((2,2^{m})\) and P\(\Gamma\)L\((2,2^{m}\))

DOI10.1016/j.jcta.2005.09.004zbMath1094.05058arXivmath/0503570OpenAlexW1969161555MaRDI QIDQ2500614

Qing Xiang, Henk D. L. Hollmann

Publication date: 17 August 2006

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503570

zbMATH Keywords

association schemestrongly regular graphfusion schemeconicpermutation polynomialDickson polynomialpseudocyclic association schemeLatin square type strongly regular graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (7)

Association schemes on 28 points as mergings of a half-homogeneous coherent configuration ⋮ New families of \(Q\)-polynomial association schemes ⋮ Difference sets in pseudocyclic association schemes ⋮ Strongly regular graphs from pseudocyclic association schemes ⋮ On pseudocyclic table algebras and applications to pseudocyclic association schemes ⋮ Association schemes from the action of \(\text{PGL}(2,q)\) fixing a nonsingular conic in \(\text{PG}(2,q)\) ⋮ A characterization of exceptional pseudocyclic association schemes by multidimensional intersection numbers

Cites Work

• A survey of partial difference sets
• Association schemes from the action of \(\text{PGL}(2,q)\) fixing a nonsingular conic in \(\text{PG}(2,q)\)
• A class of permutation polynomials of \(\mathbb F_{2^m}\) related to Dickson polynomials
• A four-class association scheme derived from a hyperbolic quadric in PG(3,q)
• THE TERWILLIGER ALGEBRAS OF GROUP ASSOCIATION SCHEMES
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