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arXiv · 1801.08590

Individual testing is optimal for nonadaptive group testing in the linear regime

Matthew Aldridge
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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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Matthew Aldridge. 2018-05-16. Individual testing is optimal for nonadaptive group testing in the linear regime. https://doi.org/10.1109/tit.2018.2873136

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