[Resource Topic] 1999/009: On the Existence of3-Round Zero-Knowledge Protocols

Welcome to the resource topic for 1999/009

Title:
On the Existence of3-Round Zero-Knowledge Protocols

Authors: Satoshi Hada, Toshiaki Tanaka

Abstract:

In this paper, we construct a 3-round zero-knowledge protocol for
any NP language. Our protocol achieves weaker notions of zero-knowledge
than black-box simulation zero-knowledge.
Therefore, our result does not contradict the triviality result of
Goldreich and Krawczyk which shows that 3-round black-box simulation
zero-knowledge exist only for BPP languages.
Our main contribution is to provide a non-black-box simulation technique.
Whether there exists such a simulation technique was a major open
problem in the theory of zero-knowledge.
Our simulation technique is based on a non-standard computational assumption
related to the Diffie-Hellman problem, which was originally proposed by
Damgard.

ePrint: https://eprint.iacr.org/1999/009

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