Efficient Probabilistic Group Testing Based on Traitor Tracing

Inspired by recent results from collusion-resistant traitor tracing, we provide a framework for constructing efficient probabilistic group testing schemes. In the traditional group testing model, our scheme asymptotically requires T ~ 2 K ln N tests to find (with high probability) the correct set of K defectives out of N items. Several other models are also considered, such as some noisy group testing and threshold group testing models, but we emphasize that this framework can be applied to many other variants of the classical model as well, both in adaptive and in non-adaptive settings.