A construction of pooling designs with surprisingly high degree of error correction

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 Maculaʼs designs when the size of the set is large enough.