New Existence and Nonexistence Results for Strong External Difference Families

Abstract

In this paper, we use character-theoretic techniques to give new nonexistence results for $(n,m,k,λ)$-strong external difference families (SEDFs). We also use cyclotomic classes to give two new classes of SEDFs with $m=2$.

10 pages. arXiv admin note: text overlap with arXiv:1610.06432 by other authors