  This work presents a recursive construction for simple $t$-designs using
resolutions of the ingredient designs. The result extends a construction of
$t$-designs in our recent paper [39]. Essentially, the method in [39] describes
the blocks of a constructed design as a collection of block unions from a
number of appropriate pairs of disjoint ingredient designs. Now, if some pairs
of these ingredient $t$-designs have both a suitable $s$-resolution, then we
can define a distance mapping on their resolution classes. Using this mapping
enables us to have more possibilities for forming blocks from those pairs. The
method makes it possible for constructing many new simple $t$-designs. We give
some application results of the new construction.
