Let $S$ be the set of $k$ congruences of the type $g_{i}^{x_i} \equiv h_i \pmod{n_i}, \quad \forall i,1\leq i \leq k$
What would be the best way to describe such set $S$ with a term in literature. The goal is that the reader immediately thinks about this set of congruences when reading the term.
Would it be a collection or set of DLP instances a valid reference?