標題: A new construction of 3-separable matrices via an improved decoding of Macula's construction
作者: Fu, Hung-Lin
Hwang, F. K.
應用數學系
Department of Applied Mathematics
關鍵字: 3-separable matrices;Macula's construction
公開日期: 1-Nov-2008
摘要: Macula proposed a novel construction of pooling designs which can effectively identify positive clones and also proposed a decoding method. However, the probability of all unresolved positive clone is hard to analyze. In this paper we propose an improved decoding method and show that ford d = 3 an exact probability analysis is possible. Further, we derive necessary and Sufficient conditions for a positive clone to be unresolved and gave a modified construction which avoids this necessary condition, thus resulting; in a 3-separable matrix. (c) 2008 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.disopt.2008.04.002
http://hdl.handle.net/11536/8221
ISSN: 1572-5286
DOI: 10.1016/j.disopt.2008.04.002
期刊: DISCRETE OPTIMIZATION
Volume: 5
Issue: 4
起始頁: 700
結束頁: 704
Appears in Collections:Articles


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