Classification of association schemes of small order

Authors:
A. Hanaki;I. Miyamoto
Affiliations:
Department of Mathematics, Shinshu University, Matsumoto 390-8621, Japan;Department of Computer Science, Yamanashi University, Kofu 400-8511, Japan
Venue:
Discrete Mathematics - The 2000 Com2MaC conference on association schemes, codes and designs
Year:
2003

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Abstract

This paper enumerates the isomorphism classes of association schemes of order 20-28 by using the computer. It also classifies all the association schemes of order 24-28 whether their automorphism groups are transitive or not, and whether they are group case or not. Some more properties of the obtained association schemes are computed.