We present the first two-round, two-party general function evaluation protocol that is secure against honest-but-curious adaptive corruption of both parties. In addition, the protocol is incoercible for one of the parties, and fully leakage tolerant. It requires a global (non-programmable) reference string and is based on one way functions and general-purpose indistinguishability obfuscation with sub-exponential security, as well as augmented non-committing encryption.
A Byzantine version of the protocol, obtained by applying the Canetti et al. [STOC 02] compiler, achieves UC security with comparable efficiency parameters, but is no longer incoercible.
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