New error-correcting pooling designs with vector spaces over finite field

Pooling designs have many applications in molecular biology. In this paper, we firstly construct a family of error-correcting pooling designs using the containment relationship of subspaces of vector spaces. Then by comparing with the test efficiencies, the new design is better than that in D’yachkov et al. (2005). At last, we analyze how the related parameters influence the test efficiency ts.