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

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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).

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Authors and Affiliations

  1. Department of Mathematics, Langfang Normal College, Langfang, 065000, China

    Zengti Li

  2. Mathematics and Information Science College, Hebei Normal University, Shijiazhuang, 050016, China

    Suogang Gao

  3. Department of Computer Science, University of Texas at Dallas, Richardson, TX, 75080, USA

    Hongjie Du, Feng Zou & Weili Wu

Authors
  1. Zengti Li
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  2. Suogang Gao
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  3. Hongjie Du
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  4. Feng Zou
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  5. Weili Wu
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Corresponding author

Correspondence to Suogang Gao.

Additional information

S. Gao was supported in part by Natural Science Foundation of Hebei Province, China, (No. A2008000128), and Educational Committee of Hebei Province, China, (No. 2007137).

H. Du, F. Zou, W. Wu were supported in part by National Science Foundation of USA under grants CCF 0621829 and 0627233.

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Li, Z., Gao, S., Du, H. et al. Two constructions of new error-correcting pooling designs from orthogonal spaces over a finite field of characteristic 2. J Comb Optim 20, 325–334 (2010). https://doi.org/10.1007/s10878-009-9210-4

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  • DOI: https://doi.org/10.1007/s10878-009-9210-4

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