Welcome to the resource topic for 2018/167
Title:
On the Existence of Three Round Zero-Knowledge Proofs
Authors: Nils Fleischhacker, Vipul Goyal, Abhishek Jain
Abstract:We study the round complexity of zero-knowledge (ZK) proof systems. While five round ZK proofs for NP are known from standard assumptions [Goldreich-Kahan, J. Cryptology’96], Katz [TCC’08] proved that four rounds are insufficient for this task w.r.t. black-box simulation. In this work, we study the feasibility of ZK proofs using non-black-box simulation. Our main result is that three round private-coin ZK proofs for NP do not exist (even w.r.t. non-black-box simulation), under certain assumptions on program obfuscation. Our approach builds upon the recent work of Kalai et al. [Crypto’17] who ruled out constant round public-coin ZK proofs under the same assumptions as ours.
ePrint: https://eprint.iacr.org/2018/167
Talk: https://www.youtube.com/watch?v=dt5MjSx2CVg
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