This paper presents a new primitive non-amorphous association scheme and an infinite parameter family, indicating its connection to cyclotomic structures.
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.
No takes yet. Share an insight, caveat, or question.
Munemasa et al. (2008) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: