Contents

New Constructions of Error-Tolerance Pooling Designs

Haixia Guol1, Jizhu Nan2
1College of Science, Tianjin University of Technology and Education,Tianjin,300222, P. R. China
2School of Mathematical Sciences, Dalian University of Technology, Dalian,116024, P. R. China

Abstract

It’s well known that all of the pooling designs constructed are based on a finite set or a finite vector space. In this paper, we construct two families of pooling designs not only based on finite sets (resp. finite vector spaces) but also on partial mappings (resp. partial linear mappings), and discuss their error-tolerance properties.

Keywords: Pooling design; Partial mapping; Partial linear mapping