Schur rings and non-symmetric association schemes on 64 vertices

DOI10.1016/j.disc.2010.03.002zbMath1228.05315OpenAlexW2020979880MaRDI QIDQ712248

D. Kharzeev

Publication date: 28 October 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: http://vbn.aau.dk/ws/files/16158604/R-2008-17.pdf

zbMATH Keywords

Schur ringcomputer enumerationnon-symmetric association scheme

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Association schemes, strongly regular graphs (05E30)

Related Items (3)

Fractional Fourier, Hartley, cosine and sine number-theoretic transforms based on matrix functions ⋮ Normally regular digraphs ⋮ Nonsymmetric primitive translation schemes of prime power order

Uses Software

• GAP
• nauty
• GRAPE

Cites Work

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• Schur rings and cyclic association schemes of class three
• Difference set constructions of DRADs and association schemes
• Certain distance-regular digraphs and related rings of characteristic 4
• Distance-regular digraphs of girth 4
• A survey of partial difference sets
• A primitive non-symmetric 3-class association scheme on 36 elements with \(p_{11}^ 1=0\) exists and is unique
• Doubly regular digraphs and symmetric designs
• The structure of imprimitive non-symmetric 3-class association schemes
• A characterization of PSU(3,3\(^2\)) as a permutation group of rank 4
• Normally regular digraphs, association schemes and related combinatorial structures

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