2016/10/20 by Martin, William J., Stinson, Douglas R.
#05B10 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1610.06432
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. Further, we show that, when m=3 or 4 and v > m, a (v,m,k,λ)-SEDF does not exist.