Two constructions of new error-correcting pooling designs from orthogonal spaces over a finite field of characteristic 2

摘要

In this paper, we construct two classes of t×n,s e -disjunct matrix with subspaces in orthogonal space mathbbF_q(2n+1)mathbb{F}_{q}^{(2nu+1)} of characteristic 2 and exhibit their disjunct properties. We also prove that the test efficiency t of constructions II is smaller than that of D’yachkov et al. (J. Comput. Biol. 12:1129–1136, 2005).