English

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

Combinatorics 2011-05-16 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1105.2669,
  title  = {A construction of pooling designs with surprisingly high degree of error correction},
  author = {Jun Guo and Kaishun Wang},
  journal= {arXiv preprint arXiv:1105.2669},
  year   = {2011}
}