Pseudocyclic and non-amorphic fusion schemes of the cyclotomic association schemes

Abstract

We construct twelve infinite families of pseudocyclic and non-amorphic association schemes, in which each nontrivial relation is a strongly regular graph. Three of the twelve families generalize the counterexamples to A. V. Ivanov's conjecture by Ikuta and Munemasa [15].

12 pages, corrected typos