Construction of Pooling Designs with Affine Symplectic Space

Let AS (2v, Fq) be a 2-dimensional affine symplectic space over finite fields Fq. In this paper, we construct a family of error-tolerant pooling designs with the incidence matrix of two types of flats (i.e., (m, s)-flats and (r, 0)-flats) over affine symplectic space AS (2v, Fq). We also discuss the error-tolerant and error-correcting properties of our designs.