In this paper, we construct a statistical CNMZK argument for NP assuming only the existence of one-way functions. The security is proven via black-box simulation, and the round complexity is poly(n). Under the existence of collision-resistant hash functions, the round complexity can be reduced to w(log n), which is known to be essentially optimal for black-box concurrent zero-knowledge protocols.
Category / Keywords: foundations / concurrent non-malleable zero-knowledge, one-way function Original Publication (with major differences): IACR-CRYPTO-2015 Date: received 22 Jun 2015, last revised 29 Jun 2015 Contact author: kiyoshima susumu at lab ntt co jp Available format(s): PDF | BibTeX Citation Version: 20150630:183221 (All versions of this report) Short URL: ia.cr/2015/620 Discussion forum: Show discussion | Start new discussion