Paper 2019/631
Non-Uniformly Sound Certificates with Applications to Concurrent Zero-Knowledge
Cody Freitag, Ilan Komargodski, and Rafael Pass
Abstract
We introduce the notion of non-uniformly sound certificates: succinct single-message (unidirectional) argument systems that satisfy a ``best-possible security'' against non-uniform polynomial-time attackers. In particular, no polynomial-time attacker with s bits of non-uniform advice can find significantly more than s accepting proofs for false statements. Our first result is a construction of non-uniformly sound certificates for all NP in the random oracle model, where the attacker's advice can depend arbitrarily on the random oracle. We next show that the existence of non-uniformly sound certificates for P (and collision resistant hash functions) yields a public-coin constant-round fully concurrent zero-knowledge argument for NP.
Metadata
- Available format(s)
-
PDF
- Publication info
- Published by the IACR in CRYPTO 2019
- Keywords
- non-uniform certificatesconcurrent zero-knowledge
- Contact author(s)
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crf87 @ cornell edu
komargodski @ cornell edu
rnp3 @ cornell edu - History
- 2019-06-03: received
- Short URL
- https://ia.cr/2019/631
- License
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CC BY
BibTeX
@misc{cryptoeprint:2019/631,
author = {Cody Freitag and Ilan Komargodski and Rafael Pass},
title = {Non-Uniformly Sound Certificates with Applications to Concurrent Zero-Knowledge},
howpublished = {Cryptology {ePrint} Archive, Paper 2019/631},
year = {2019},
url = {https://eprint.iacr.org/2019/631}
}
