Paper 2006/400 Original: eprint.iacr.org/2006/400 ↗

Concurrent Statistical Zero-Knowledge Arguments for NP from One Way Functions

Vipul Goyal
Ryan Moriarty
Rafail Ostrovsky
Amit Sahai
Abstract

In this paper we show a general transformation from any honest verifier statistical zero-knowledge argument to a concurrent statistical zero-knowledge argument. Our transformation relies only on the existence of one-way functions. It is known that the existence of zero-knowledge systems for any non-trivial language implies one way functions. Hence our transformation \emph{unconditionally} shows that concurrent statistical zero-knowledge arguments for a non-trivial language exist if and only if standalone secure statistical zero-knowledge arguments for that language exist. Further, applying our transformation to the recent statistical zero-knowledge argument system of Nguyen et al (STOC'06) yields the first concurrent statistical zero-knowledge argument system for all languages in \textbf{NP} from any one way function.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2007-09-08: last updated
2006-11-12: published
Short URL
https://ia.cr/2006/400
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2006/400,
      author = {Vipul Goyal and Ryan Moriarty and Rafail Ostrovsky and Amit Sahai},
      title = {Concurrent Statistical Zero-Knowledge Arguments for NP from One Way Functions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2006/400},
      year = {2006},
      url = {https://eprint.iacr.org/2006/400}
}
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