Error-tolerance Pooling Design in a Finite Vector Space

Abstract

Most. of pooling designs are always constructed by the “containment matrix”. But we are interested in considering non-containment
relationship. In [J. Guo, K. Wang, Pooling designs with surprisingly high degree of error correction in a finite vector space, Discrete Appl Math], Guo and Wang gave a construction by the use of non-containment relationship. In this paper, we generalize Guo-Wang’s designs and obtain a new family of pooling designs. Our designs and Guo-Wang’s designs have the same numbers of items and pools,but the error-tolerance property of our designs is better than that of Guo-Wang’s designs.