Constructing Error-Correcting Pooling Designs with Singular Symplectic Space

Xuemei Liu1, Xing Gao1
1College of Science, Civil Aviation University of China, Tianjin, 900300, P.R. China

Abstract

Pooling designs are standard experimental tools in many biotechnical applications. In this paper, we construct a family of error-correcting pooling designs with the incidence matrix of two types of subspaces of singular symplectic spaces over finite fields.

Keywords: Pooling designs – d*—disjunct matrix – Singular symplectic space AMS classification 20G40 51D25