International Association for Cryptologic Research

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Paper: Efficient NIZKs and Signatures from Commit-and-Open Protocols in the QROM

Authors:
Jelle Don , CWI
Serge Fehr , CWI and Leiden University
Christian Majenz , Technical University of Denkmark
Christian Schaffner , University of Amsterdam and QuSoft
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Presentation: Slides
Conference: CRYPTO 2022
Abstract: Commit-and-open sigma-protocols are a popular class of protocols for constructing non-interactive zero-knowledge arguments and digital-signature schemes via the Fiat-Shamir transformation. Instantiated with hash-based commitments, the resulting non-interactive schemes enjoy tight online-extractability in the random oracle model. Online extractability improves the tightness of security proofs for the resulting digital-signature schemes by avoiding lossy rewinding or forking-lemma based extraction. In this work, we prove tight online extractability in the quantum random oracle model (QROM), showing that the construction supports post-quantum security. First, we consider the default case where committing is done by element-wise hashing. In a second part, we extend our result to Merkle-tree based commitments. Our results yield a significant improvement of the provable post-quantum security of the digital-signature scheme Picnic. Our analysis makes use of a recent framework by Chung et al. [CFHL21] for analysing quantum algorithms in the QROM using purely classical reasoning. Therefore, our results can to a large extent be understood and verified without prior knowledge of quantum information science.
Video from CRYPTO 2022
BibTeX
@inproceedings{crypto-2022-32116,
  title={Efficient NIZKs and Signatures from Commit-and-Open Protocols in the QROM},
  publisher={Springer-Verlag},
  author={Jelle Don and Serge Fehr and Christian Majenz and Christian Schaffner},
  year=2022
}