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Individual testing is optimal for nonadaptive group testing in the linear regime
January 25, 2018 Β· Declared Dead Β· π IEEE Transactions on Information Theory
"No code URL or promise found in abstract"
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Authors
Matthew Aldridge
arXiv ID
1801.08590
Category
cs.IT: Information Theory
Cross-listed
math.CO,
math.PR
Citations
57
Venue
IEEE Transactions on Information Theory
Last Checked
5 months ago
Abstract
We consider nonadaptive probabilistic group testing in the linear regime, where each of n items is defective independently with probability p in (0,1), and p is a constant independent of n. We show that testing each item individually is optimal, in the sense that with fewer than n tests the error probability is bounded away from zero.
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