Group testing with geometry of classical groups over finite fields

Group testing with geometry of classical groups over finite fields J Algebr Comb https://doi.org/10.1007/s10801-018-0828-0 Group testing with geometry of classical groups over finite fields 1 2 3 Suogang Gao · Zengti Li · Weili Wu · 4 3 Panos M. Pardalos · Dingzhu Du Received: 14 January 2018 / Accepted: 28 May 2018 © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract In this paper, we give an overview of combinatorial group testing and algebra. Our survey focuses on the constructions with algebraic methods, especially geometry of classical groups over finite fields. Keywords Group testing · Pooling design · Classical groups Mathematics Subject Classification 05E30 · 05E35 · 33C45 · 33D45 1 Introduction The basic problem of DNA library screening is to determine which clone (a DNA segment) from the library contains which probe from a given collection of probes in an efficient fashion. A clone is said to be positive for a probe if it contains the probe, and negative otherwise. This problem is just an instance of the general group testing problem, in which a large population of items containing a small set of defectives are to be tested to identify the defectives efficiently. Suppose there are n clones including at most d positive ones http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Algebraic Combinatorics Springer Journals

Group testing with geometry of classical groups over finite fields

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Publisher
Springer US
Copyright
Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
Subject
Mathematics; Combinatorics; Convex and Discrete Geometry; Order, Lattices, Ordered Algebraic Structures; Computer Science, general; Group Theory and Generalizations
ISSN
0925-9899
eISSN
1572-9192
D.O.I.
10.1007/s10801-018-0828-0
Publisher site
See Article on Publisher Site

Abstract

J Algebr Comb https://doi.org/10.1007/s10801-018-0828-0 Group testing with geometry of classical groups over finite fields 1 2 3 Suogang Gao · Zengti Li · Weili Wu · 4 3 Panos M. Pardalos · Dingzhu Du Received: 14 January 2018 / Accepted: 28 May 2018 © Springer Science+Business Media, LLC, part of Springer Nature 2018 Abstract In this paper, we give an overview of combinatorial group testing and algebra. Our survey focuses on the constructions with algebraic methods, especially geometry of classical groups over finite fields. Keywords Group testing · Pooling design · Classical groups Mathematics Subject Classification 05E30 · 05E35 · 33C45 · 33D45 1 Introduction The basic problem of DNA library screening is to determine which clone (a DNA segment) from the library contains which probe from a given collection of probes in an efficient fashion. A clone is said to be positive for a probe if it contains the probe, and negative otherwise. This problem is just an instance of the general group testing problem, in which a large population of items containing a small set of defectives are to be tested to identify the defectives efficiently. Suppose there are n clones including at most d positive ones

Journal

Journal of Algebraic CombinatoricsSpringer Journals

Published: Jun 6, 2018

References

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