A construction of \(d^z\)-disjunct matrices in a dual space of symplectic space

DOI10.1016/j.dam.2007.11.003zbMath1368.15035OpenAlexW2040431615MaRDI QIDQ947128

Bo-Li Li, Feng-Xia Li, Xiao-Lei Sun, Geng Sheng Zhang

Publication date: 29 September 2008

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2007.11.003

zbMATH Keywords

group testing\(d\)-disjunctratio efficiency\(d^z\)-disjunct

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Special matrices (15B99)

Related Items (5)

Error-correcting pooling designs associated with the dual space of unitary space and ratio efficiency comparison ⋮ Two constructions of new error-correcting pooling designs from orthogonal spaces over a finite field of characteristic 2 ⋮ Constructing error-correcting pooling designs with symplectic space ⋮ Erasure combinatorial batch codes based on nonadaptive group testing ⋮ Group testing with geometry of classical groups over finite fields

Cites Work

• A simple construction of \(d\)-disjunct matrices with certain constant weights
• Trivial two-stage group testing for complexes using almost disjunct matrices.
• Pooling spaces and non-adaptive pooling designs
• On a hyperplane arrangement problem and tighter analysis of an error-tolerant pooling design
• On error-tolerant DNA screening
• A novel use of \(t\)-packings to construct \(d\)-disjunct matrices
• New constructions of non-adaptive and error-tolerance pooling designs
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