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Note on generalized group testing

Published 8 Nov 2022 in cs.IT, math.CO, and math.IT | (2211.04264v1)

Abstract: In this note, we present a new adaptive algorithm for generalized group testing, which is asymptotically optimal if $d=o(\log_2|E|)$, $E$ is a set of potentially contaminated sets, $d$ is a maximal size of elements of $E$. Also, we design a 3-stage algorithm, which is asymptotically optimal for $d=2$.

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