Constructing error-correcting pooling designs with symplectic space

DOI10.1007/S10878-009-9217-XzbMath1206.90143OpenAlexW2131443786MaRDI QIDQ613666

Jun Guo, Weili Wu, Jiangchen Yu, Yuexuan Wang, Suo-gang Gao

Publication date: 21 December 2010

Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10878-009-9217-x

zbMATH Keywords

totally isotropic subspaces\(d^{e}\)-disjunct matrixnon-isotropic subspaces

Mathematics Subject Classification ID

Combinatorial optimization (90C27)

Related Items (3)

Anzahl formulas of subspaces in symplectic spaces and their applications ⋮ Construction of error-tolerance pooling designs in symplectic spaces ⋮ Group testing with geometry of classical groups over finite fields

Cites Work

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• A construction of \(d^z\)-disjunct matrices in a dual space of symplectic space
• Pooling designs associated with unitary space and ratio efficiency comparison
• Families of finite sets in which no set is covered by the union of \(r\) others
• A simple construction of \(d\)-disjunct matrices with certain constant weights
• Error-correcting nonadaptive group testing with \(d^e\)-disjunct matrices
• Pooling spaces and non-adaptive pooling designs
• Optimal pooling designs with error detection
• New constructions of non-adaptive and error-tolerance pooling designs

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