A new example of non-amorphous association schemes

Authors

  • Akihiro Munemasa
  • Takuya Ikuta

DOI:

https://doi.org/10.11575/cdm.v3i2.61976

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.

Downloads

Additional Files

Published

2008-09-11

Issue

Section

Articles