Black-box constructions of two-party protocols from one-way functions

Abstract

We exhibit constructions of the following two-party cryptographic protocols given only black-box access to a one-way function: constant-round zero-knowledge arguments (of knowledge) for any language in NP; constant-round trapdoor commitment schemes; constant-round parallel coin-tossing. Previous constructions either require stronger computational assumptions (e.g. collision-resistant hash functions), non-black-box access to a one-way function, or a super-constant number of rounds. As an immediate corollary, we obtain a constant-round black-box construction of secure two-party computation protocols starting from only semi-honest oblivious transfer. In addition, by combining our techniques with recent constructions of concurrent zero-knowledge and non-malleable primitives, we obtain black-box constructions of concurrent zero-knowledge arguments for NP and non-malleable commitments starting from only one-way functions. © 2009 Springer Berlin Heidelberg.