  It is well-known that many famous pooling designs are constructed from
mathematical structures by the "containment matrix" method. In this paper, we
propose another method and obtain a family of pooling designs with surprisingly
high degree of error correction based on a finite set. Given the numbers of
items and pools, the error-tolerant property of our designs is much better than
that of Macula's designs when the size of the set is large enough.
