New (q,K,λ)-ADFs via cyclotomy

The concept of a (q,k,λ,t) almost difference family (ADF for short) was introduced by Ding and Yin as a useful generalization of the concept of an almost difference set. Some results had been obtained for the existences of (q,K,λ)-ADFs, where K={k1,k2,…,kr} is a set of positive integers. In this note, new cyclic (q,K,λ)-ADFs are obtained via cyclotomy.