A construction of -disjunct matrices in a dual space of symplectic space
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| Title: | A construction of -disjunct matrices in a dual space of symplectic space |
|---|---|
| Authors: | Zhang, Geng-sheng1 gshzhang@hebtu.edu.cn, Li, Bo-li2, Sun, Xiao-lei1, Li, Feng-xia3 |
| Source: | Discrete Applied Mathematics. Jun2008, Vol. 156 Issue 12, p2400-2406. 7p. |
| Subjects: | Matrices (Mathematics), Universal algebra, Symplectic geometry, Cybernetics |
| Abstract: | Abstract: In this paper, we construct a -disjunct matrix with subspaces in a dual space of symplectic space , then give its several properties and a new definition, ratio efficiency . As the smaller the ratio efficiency is, the better the pooling design is. We discuss the ratio efficiency of this construction and compare it with others, such as in [Anthony J. Macula, A simple construction of -disjunct matrices with certain constant weights, Discrete Mathematics 162 (1996) 311–312; A.G. D’yachkov, Frank K. Hwang, Antony J. Macula, Pavel A. Vilenkin, Chih-wenWeng, A construction of pooling designs with some happy surprises, Journal of Computational Biology 12 (2005) 1129–1136]. [Copyright &y& Elsevier] |
| Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A construction of -disjunct matrices in a dual space of symplectic space – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Geng-sheng%22">Zhang, Geng-sheng</searchLink><relatesTo>1</relatesTo><i> gshzhang@hebtu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Li%2C+Bo-li%22">Li, Bo-li</searchLink><relatesTo>2</relatesTo><br /><searchLink fieldCode="AR" term="%22Sun%2C+Xiao-lei%22">Sun, Xiao-lei</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Li%2C+Feng-xia%22">Li, Feng-xia</searchLink><relatesTo>3</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Discrete+Applied+Mathematics%22">Discrete Applied Mathematics</searchLink>. Jun2008, Vol. 156 Issue 12, p2400-2406. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Universal+algebra%22">Universal algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Symplectic+geometry%22">Symplectic geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Cybernetics%22">Cybernetics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: In this paper, we construct a -disjunct matrix with subspaces in a dual space of symplectic space , then give its several properties and a new definition, ratio efficiency . As the smaller the ratio efficiency is, the better the pooling design is. We discuss the ratio efficiency of this construction and compare it with others, such as in [Anthony J. Macula, A simple construction of -disjunct matrices with certain constant weights, Discrete Mathematics 162 (1996) 311–312; A.G. D’yachkov, Frank K. Hwang, Antony J. Macula, Pavel A. Vilenkin, Chih-wenWeng, A construction of pooling designs with some happy surprises, Journal of Computational Biology 12 (2005) 1129–1136]. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.dam.2007.11.003 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 2400 Subjects: – SubjectFull: Matrices (Mathematics) Type: general – SubjectFull: Universal algebra Type: general – SubjectFull: Symplectic geometry Type: general – SubjectFull: Cybernetics Type: general Titles: – TitleFull: A construction of -disjunct matrices in a dual space of symplectic space Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhang, Geng-sheng – PersonEntity: Name: NameFull: Li, Bo-li – PersonEntity: Name: NameFull: Sun, Xiao-lei – PersonEntity: Name: NameFull: Li, Feng-xia IsPartOfRelationships: – BibEntity: Dates: – D: 28 M: 06 Text: Jun2008 Type: published Y: 2008 Identifiers: – Type: issn-print Value: 0166218X Numbering: – Type: volume Value: 156 – Type: issue Value: 12 Titles: – TitleFull: Discrete Applied Mathematics Type: main |
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