A new construction of 3-separable matrices via an improved decoding of Macula's construction

doi:10.1016/j.disopt.2008.04.002

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DC Field	Value	Language
dc.contributor.author	Fu, Hung-Lin	en_US
dc.contributor.author	Hwang, F. K.	en_US
dc.date.accessioned	2014-12-08T15:10:45Z	-
dc.date.available	2014-12-08T15:10:45Z	-
dc.date.issued	2008-11-01	en_US
dc.identifier.issn	1572-5286	en_US
dc.identifier.uri	http://dx.doi.org/10.1016/j.disopt.2008.04.002	en_US
dc.identifier.uri	http://hdl.handle.net/11536/8221	-
dc.description.abstract	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.	en_US
dc.language.iso	en_US	en_US
dc.subject	3-separable matrices	en_US
dc.subject	Macula's construction	en_US
dc.title	A new construction of 3-separable matrices via an improved decoding of Macula's construction	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.disopt.2008.04.002	en_US
dc.identifier.journal	DISCRETE OPTIMIZATION	en_US
dc.citation.volume	5	en_US
dc.citation.issue	4	en_US
dc.citation.spage	700	en_US
dc.citation.epage	704	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.identifier.wosnumber	WOS:000260086600004	-
dc.citation.woscount	0	-
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