Pseudocyclic association schemes and strongly regular graphs

DOI10.1016/j.ejc.2009.08.003zbMath1225.05254arXiv0808.3676OpenAlexW2159074829MaRDI QIDQ992779

Akihiro Munemasa, Ikuta, Takuya

Publication date: 10 September 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3676

zbMATH Keywords

cyclotomic association schemes

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (14)

Strongly regular graphs arising from non-weakly regular bent functions ⋮ Three-class association schemes from cyclotomy ⋮ On association schemes generated by a relation or an idempotent ⋮ Constructions of strongly regular Cayley graphs using index four Gauss sums ⋮ Difference sets in pseudocyclic association schemes ⋮ Difference sets disjoint from a subgroup. III: The skew relative cases ⋮ Strongly regular graphs from pseudocyclic association schemes ⋮ Strongly regular graphs from unions of cyclotomic classes ⋮ Cyclotomic constructions of skew Hadamard difference sets ⋮ Constructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classes ⋮ Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes ⋮ Difference sets disjoint from a subgroup ⋮ New constructions of strongly regular Cayley graphs on abelian non \(p\)-groups ⋮ Commutative association schemes

Cites Work

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• All two-weight irreducible cyclic codes?
• Strongly regular decompositions of the complete graph
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• A Survey of Difference Sets
• A characterization of association schemes from affine spaces

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