# Group testing problem with two defectives

Group testing problem with two defectives We consider the classical (2,N) group testing problem, i.e., the problem of finding two defectives among N elements. We propose a new adaptive algorithm such that for $N = \left\lfloor {2\tfrac{{t + 1}} {2} - t \cdot 2\tfrac{t} {4}} \right\rfloor$ the problem can be solved in t tests. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

# Group testing problem with two defectives

, Volume 49 (4) – Jan 25, 2014
7 pages

/lp/springer_journal/group-testing-problem-with-two-defectives-oREyD6TUGe
Publisher
Springer US
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946013040078
Publisher site
See Article on Publisher Site

### Abstract

We consider the classical (2,N) group testing problem, i.e., the problem of finding two defectives among N elements. We propose a new adaptive algorithm such that for $N = \left\lfloor {2\tfrac{{t + 1}} {2} - t \cdot 2\tfrac{t} {4}} \right\rfloor$ the problem can be solved in t tests.

### Journal

Problems of Information TransmissionSpringer Journals

Published: Jan 25, 2014

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month ### Explore the DeepDyve Library ### Unlimited reading Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere. ### Stay up to date Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates. ### Organize your research It’s easy to organize your research with our built-in tools. ### Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. ### DeepDyve Freelancer ### DeepDyve Pro Price FREE$49/month

\$360/year
Save searches from Google Scholar, PubMed
Create lists to organize your research
Export lists, citations