A new example of non-amorphous association schemes

Akihiro Munemasa, Takuya Ikuta

Abstract


E. R. van Dam gave an example of primitive non-amorphous

association schemes in which every nontrivial relation is a

strongly regular graph, as a fusion scheme of

the cyclotomic scheme of class $45$ on $¥GF(2^{12})$.

The aim of this paper is to present a new example of

primitive non-amorphous association schemes in which

every nontrivial relation is a strongly regular graph,

as a fusion scheme of the cyclotomic scheme of

class $75$ on $¥GF(2^{20})$. We also propose

an infinite family of parameters of association schemes

containing both of these two examples.

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PID: http://hdl.handle.net/10515/sy5dz03g4

Contributions to Discrete Mathematics. ISSN: 1715-0868