Paper 2006/185 Original: eprint.iacr.org/2006/185 ↗
Statistical Zero-Knowledge Arguments for NP from Any One-Way Function
Abstract
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).
Metadata
- Available format(s)
PDF- Category
- Foundations
- Publication info
- Preprint.
- History
- 2006-06-19: last updated
- 2006-06-19: published
- Short URL
- https://ia.cr/2006/185
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2006/185,
author = {Minh-Huyen Nguyen and Shien Jin Ong and Salil Vadhan},
title = {Statistical Zero-Knowledge Arguments for NP from Any One-Way Function},
howpublished = {Cryptology {ePrint} Archive, Paper 2006/185},
year = {2006},
url = {https://eprint.iacr.org/2006/185}
}