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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 (Eur J Combin 31:1513---1519, 2010).

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