Efficient error-correcting pooling designs constructed from pseudo-symplectic spaces over a finite field.

In this article, we construct two classes of t × n, s(e)-disjunct matrix with subspaces in pseudo-symplectic space F(q)(²v +¹) of characteristic 2 and prove that the test efficiency t/n of these constructions are smaller than that of D'yachkov et al. (2005).

New algebraic constructions for pooling design in DNA library screening.

Pooling design is an important mathematical tool in DNA library screening. It has been showed that using pooling design, the number of tests in DNA library screening can be greatly reduced. In this paper, we present some new algebraic constructions for pooling design.