Interactive and Noninteractive Zero Knowledge Coincide in the Help Model

Dragos Florin Ciocan; Salil Vadhan

Paper 2007/389 Original: eprint.iacr.org/2007/389 ↗

Interactive and Noninteractive Zero Knowledge Coincide in the Help Model

Dragos Florin Ciocan

Salil Vadhan

Abstract

We show that a problem in $\AM$ has a interactive zero-knowledge proof system {\em if and only if} it has a noninteractive zero knowledge proof system in the `help model' of Ben-Or and Gutfreund ({\em J. Cryptology}, 2003). In this model, the shared reference string is generated by a probabilistic polynomial-time dealer who is given access to the statement to be proven. Our result holds for both computational zero knowledge and statistical zero knowledge, and does not rely on any unproven complexity assumptions. We also show that help does not add power to interactive computational zero-knowledge proofs, paralleling a result of Ben-Or and Gutfreund for the case of statistical zero knowledge.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint.
History: 2007-10-04: last updated; 2007-10-04: published
Short URL: https://ia.cr/2007/389
License: https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2007/389,
      author = {Dragos Florin Ciocan and Salil Vadhan},
      title = {Interactive and Noninteractive Zero Knowledge Coincide in the Help Model},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/389},
      year = {2007},
      url = {https://eprint.iacr.org/2007/389}
}