A new example of non-amorphous association schemes
DOI:
https://doi.org/10.11575/cdm.v3i2.61976Abstract
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.Downloads
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