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Let $v$ be a product of at most three not necessarily distinct primes. Weprove that there exists no strong external difference family with more than twosubsets in abelian group $G$ of order $v$, except possibly when $G=C_p^3$ and$p$ is a prime greater than $3 \times 10^{12}$.

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