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

Zengti Li, Suogang Gao (), Hongjie Du, Feng Zou and Weili Wu ()
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Zengti Li: Langfang Normal College
Suogang Gao: Hebei Normal University
Hongjie Du: University of Texas at Dallas
Feng Zou: University of Texas at Dallas
Weili Wu: University of Texas at Dallas

Journal of Combinatorial Optimization, 2010, vol. 20, issue 4, No 1, 325-334

Abstract: Abstract In this paper, we construct two classes of t×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).

Keywords: Group testing algorithm; s e -disjunct matrix; Pooling design; Orthogonal space (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10878-009-9210-4

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