Nonexistence of Strong External Difference Families in Abelian Groups of Order Being Product of At Most Three Primes

Abstract

Let v be a product of at most three not necessarily distinct primes. We prove that there exists no strong external difference family with more than two subsets in abelian group G of order v, except possibly when G = C 3 p and p is a prime greater than 3 × 10 12 .