Two constructions of new error-correcting pooling designs from orthogonal spaces over a finite field of characteristic 2

Authors:
Zengti Li;Suogang Gao;Hongjie Du;Feng Zou;Weili Wu
Affiliations:
Department of Mathematics, Langfang Normal College, Langfang, China 065000;Mathematics and Information Science College, Hebei Normal University, Shijiazhuang, China 050016;Department of Computer Science, University of Texas at Dallas, Richardson, USA 75080;Department of Computer Science, University of Texas at Dallas, Richardson, USA 75080;Department of Computer Science, University of Texas at Dallas, Richardson, USA 75080
Venue:
Journal of Combinatorial Optimization
Year:
2010

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Abstract

In this paper, we construct two classes of t脳n,s e -disjunct matrix with subspaces in orthogonal space $\mathbb{F}_{q}^{(2\nu+1)}$ of characteristic 2 and exhibit their disjunct properties. We also prove that the test efficiency t/n of constructions II is smaller than that of D'yachkov et al. (J. Comput. Biol. 12:1129---1136, 2005).