A new example of non-amorphous association schemes

نویسندگان

  • Akihiro Munemasa
  • Takuya Ikuta
چکیده

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(212). 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(220). We also propose an infinite family of parameters of association schemes containing both of these two examples.

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عنوان ژورنال:
  • Contributions to Discrete Mathematics

دوره 3  شماره 

صفحات  -

تاریخ انتشار 2008