CryptoDB
Precise Zero-Knowledge in Concurrent Setting
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Abstract: | We present a stronger notion of zero-knowledge: precise concurrent zero-knowledge. Our notion captures the idea that the view of any verifier in concurrent interaction can be reconstructed in the almost same time (within a constant/polynomial factor). Precise zero-knowledge in stand-alone setting was introduced by Micali and Pass in STOC'06 (The original work used the term "local zero-knowledge".). Their notion shows that the view of any verifier can be reconstructed in the almost same time in stand-alone setting. Hence our notion is the generalization of their notion in concurrent setting. Furthermore, we propose a $\omega (\log ^2 n)$-round concurrent zero-knowledge argument for ${\rm{NP}}$ with linear precision, which shows that the view of any verifier in concurrent interaction can be reconstructed by the simulator with linear-time overhead. Our argument is Feige-Lapidot-Shamir type which consists of a proof-preamble and a proof-body for a modified NP statement. Our result assumes the restriction of adversarial scheduling the communication that the concurrent interaction of preambles of all sessions will be scheduled before any proof-body by the adversarial verifier. |
BibTeX
@misc{eprint-2007-13736, title={Precise Zero-Knowledge in Concurrent Setting}, booktitle={IACR Eprint archive}, keywords={foundations /}, url={http://eprint.iacr.org/2007/456}, note={ dingning@sjtu.edu.cn 13855 received 7 Dec 2007}, author={Ning Ding and Dawu Gu}, year=2007 }