Paper 2024/207 Original: eprint.iacr.org/2024/207 ↗

NIZKs with Maliciously Chosen CRS: Subversion Advice-ZK and Accountable Soundness

Abstract

Trusted setup is commonly used for non-interactive proof and argument systems. However, there is no guarantee that the setup parameters in these systems are generated in a trustworthy manner. Building upon previous works, we conduct a systematic study of non-interactive zero-knowledge arguments in the common reference string model where the authority running the trusted setup might be corrupted. We explore both zero-knowledge and soundness properties in this setting.  - We consider a new notion of NIZK called subversion advice-ZK NIZK that strengthens the notion of zero-knowledge with malicious authority security considered by Ananth, Asharov, Dahari and Goyal (EUROCRYPT'21), and present a construction of a subversion advice-ZK NIZK from the sub-exponential hardness of learning with errors. - We introduce a new notion that strengthens the traditional definition of soundness, called accountable soundness, and present generic compilers that lift any NIZK for interesting languages in NP to additionally achieve accountable soundness. - Finally, we combine our results for both subversion advice-ZK and accountable soundness to achieve a subversion advice-ZK NIZK that also satisfies accountable soundness. This results in the first NIZK construction that satisfies meaningful notions of both soundness and zero-knowledge even for maliciously chosen CRS.