Two error-correcting pooling designs from symplectic spaces over a finite field
type: Item
instance of: scholarly article
title: Two error-correcting pooling designs from symplectic spaces over a finite field
zbMATH Open document ID: 1214.90101
author: Zengti Li
author: Tayuan Huang
author: Suogang Gao
published in: Linear Algebra and its Applications
publication date: 2010-08-27T00:00:00Z
review text: A binary matrix \(M\) is called \textit{\(s^e\)-disjunct} if given any \(s+1\) columns of \(M\) with one designated, there are \(e\) rows with a 1 in the designated column and 0 in each of the other \(s\) columns. In this article, two classes of \(s^e\)-disjunct matrices with subspaces in a symplectic space \(\mathbb{F}_q^{(2v)}\) are constructed and their disjunct properties are presented. The motivation for the construction of these classes arises from the use of such classes of matrices in pooling designs. For a pooling design, the smaller the number of tests, the better the pooling design is. To investigate this in relation to the classes the authors construct, the authors define the \textit{ratio} between the number of tests and the number of detected items test efficiency, that is, the ratio between the number of rows and the number of columns in the \(s^e\)-disjunct matrix, discuss this for their constructed classes and compare their ratio with other classes.
Mathematics Subject Classification ID: 90C27
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 51E20
Mathematics Subject Classification ID: 15B33
Mathematics Subject Classification ID: 05B25
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 51D20
Mathematics Subject Classification ID: 51E30
zbMATH DE Number: 5775695
zbMATH Keywords: pooling designs
zbMATH Keywords: disjunct matrices
zbMATH Keywords: symplectic space
zbMATH Keywords: DNA
zbMATH Keywords: error-correcting
zbMATH Keywords: finite field
reviewed by: Leo Storme
MaRDI profile type: Publication
full work available at URL: j.laa.2010.04.040
OpenAlex ID: W2094681739
cites work: Q4857782
cites work: Pooling spaces and non-adaptive pooling designs
cites work: A simple construction of \(d\)-disjunct matrices with certain constant weights
cites work: New constructions of non-adaptive and error-tolerance pooling designs
cites work: Q5457049
DOI: 10.1016/J.LAA.2010.04.040
description: scientific article; zbMATH DE number 5775695