Keywords:
Disjoint difference family, Difference set, Galois ring
Abstract
In this paper, we give new constructions of disjoint difference families from Galois rings. The constructions are based on choosing cosets of the unit group of a subring in the Galois ring $\mathrm{GR}(p^2,p^{2s})$. Two infinite families of disjoint difference families are obtained from the Galois rings $\mathrm{GR}(p^{2},p^{4n})$ and $\mathrm{GR}(2^2,2^{2s})$.
