Some Nonexistence Results for Strong External Difference Families Using Character Theory

Abstract

In this paper, we study the existence of (v,m, k, λ)-strong external difference families (SEDFs). We use character-theoretic techniques to show that no SEDF exists when v is prime, k > 1 and m > 2. In the case where v is the product of two distinct odd primes, some necessary conditions are derived, which can be used to rule out certain parameter sets… (More)

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