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At STOC ’87, Goldreich et al. presented two protocols for secure multi-party computation (MPC) among n parties: The first protocol provides passive security against t < n corrupted parties. The second protocol provides even active security, but only against t < n/2 corrupted parties. Although these protocols provide security against the provably highest possible number of corruptions, each of them has its limitation: The first protocol is rendered completely insecure in presence of a single active corruption, and the second protocol is rendered completely insecure in presence of ⌈n/2 ⌉ passive corruptions.

Erratum: A Dynamic Tradeoff between Active and Passive Corruptions in Secure Multi-Party Computation