Individual testing is optimal for nonadaptive group testing in the linear regime
Information Theory
2025-09-26 v2 Combinatorics
math.IT
Probability
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.
Keywords
Cite
@article{arxiv.1801.08590,
title = {Individual testing is optimal for nonadaptive group testing in the linear regime},
author = {Matthew Aldridge},
journal= {arXiv preprint arXiv:1801.08590},
year = {2025}
}
Comments
4 pages, 1 figure