The arrangement of subspaces in the orthogonal spaces and tighter analysis of an error-tolerant pooling design

摘要

In this paper, we construct a d~z-disjunct matrix with the orthogonal spaces over finite fields of odd characteristic. We consider the arrangement problem of d (m-1,2(s-1), s-1)-subspaces and the tighter bounds for an error-tolerant pooling design. Moreover, we give the tighter analysis of our construction by the results of the arrangement problem. Additionally, by comparing our construction with the previous construction out of vector spaces, we find that our construction is better under some conditions.