Welcome to the resource topic for 2019/631
Title:
Non-Uniformly Sound Certificates with Applications to Concurrent Zero-Knowledge
Authors: Cody Freitag, Ilan Komargodski, 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.
ePrint: https://eprint.iacr.org/2019/631
Talk: https://www.youtube.com/watch?v=PBY7ocioSAc
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