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

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

2011-05-13

arxiv.org/abs/1105.2669v1

Mathematics

Combinatorics

Scientific paper

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.

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