TR06-075 Authors: Minh-Huyen Nguyen, Shien Jin Ong, Salil Vadhan

Publication: 19th June 2006 20:42

Downloads: 909

Keywords:

We show that every language in NP has a *statistical* zero-knowledge

argument system under the (minimal) complexity assumption that

one-way functions exist. In such protocols, even a computationally

unbounded verifier cannot learn anything other than the fact that the

assertion being proven is true, whereas a polynomial-time prover

cannot convince the verifier to accept a false assertion except with

negligible probability. This resolves an open question posed by Naor,

Ostrovsky, Venkatesan, and Yung (CRYPTO `92, J. Cryptology `98).

Departing from previous works on this problem, we do not construct

standard statistically hiding commitments from any one-way function.

Instead, we construct a relaxed variant of commitment schemes called

"1-out-of-2-binding commitments," recently introduced by Nguyen and

Vadhan (STOC `06).