Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes

DOI10.1007/S10623-011-9595-9zbMath1255.05199arXiv1012.2181OpenAlexW2142699153MaRDI QIDQ690665

Qing Xiang, Fan Wu, Tao Feng

Publication date: 28 November 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2181

zbMATH Keywords

Gauss sumstrongly regular graphcyclotomyindex 2 Gauss sumamorphic association schemepseudocyclic association scheme

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Cyclotomy (11T22)

Related Items (7)

Pure Gauss sums and skew Hadamard difference sets ⋮ Difference sets in pseudocyclic association schemes ⋮ Strongly regular graphs from pseudocyclic association schemes ⋮ Strongly regular graphs from unions of cyclotomic classes ⋮ Constructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classes ⋮ Nonsymmetric primitive translation schemes of prime power order ⋮ New strongly regular decompositions of the complete graphs with prime power vertices

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• Problem session at ALCOM-91
• The Gewirtz graph: An exercise in the theory of graph spectra
• The evaluation of Gauss sums for characters of 2-power order
• Strongly regular decompositions of the complete graph
• A characterization of association schemes from affine spaces

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