Contents

Constructing Error-Correcting Pooling Designs with Singular linear Space

Xuemei Liu1, You Gao1
1College of Science, Civil Aviation University of China, Tianjin, 300300, 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 linear space over finite fields, and exhibit their disjunct properties.

Keywords: Pooling designs, d°-disjunct matrix, Singular linear space AMS classification: 20G40 51D25