The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Noninteractive Zero-Knowledge
Abstract
This paper investigates the possibility of disposing of interaction between prover and verifier in a zero-knowledge proof if they share beforehand a short random string. Without any assumption, it is proven that noninteractive zero-knowledge proofs exist for some number-theoretic languages for which no efficient algorithm is known. If deciding quadratic residuosity (modulo composite integers whose factorization is not known) is computationally hard, it is shown that the NP-complete language of satisfiability also possesses noninteractive zero-knowledge proofs.
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Citations
Cites
The complexity of theorem-proving procedures
Cook, S. A. (1971) · Proceedings of the third annual ACM symposium on Theory of computing - STOC '71 · doi:10.1145/800157.805047 · Cited by 6,385
Goldreich, O., Micali, S., & Wigderson, A. (1987) · Proceedings of the nineteenth annual ACM conference on Theory of computing - STOC '87 · doi:10.1145/28395.28420 · Cited by 3,590
Self-citation
Cited by
Pinocchio: Nearly Practical Verifiable Computation
Parno, B., Howell, J., Gentry, C., & Raykova, M. (2013) · 2013 IEEE Symposium on Security and Privacy · doi:10.1109/sp.2013.47 · Cited by 864
Lossy Trapdoor Functions and Their Applications
Peikert, C., & Waters, B. (2011) · SIAM Journal on Computing · doi:10.1137/080733954 · Cited by 649
Micali, S. (2000) · SIAM Journal on Computing · doi:10.1137/s0097539795284959 · Cited by 424
Self-citationCoercion-resistant electronic elections
Juels, A., Catalano, D., & Jakobsson, M. (2005) · Proceedings of the 2005 ACM workshop on Privacy in the electronic society · doi:10.1145/1102199.1102213 · Cited by 414
Parno (2016) · doi:10.1145/2856449 · Cited by 212
Metadata
- Authors
- Blum, M., De Santis, A., Micali, S., & Persiano, G.
- Venue
- SIAM Journal on Computing
- Published
- 1991-12
- Volume
- 20
- Issue
- 6
- Pages
- 1084-1118
- ISSN
- 0097-5397 (ISSN-L)
- 1095-7111
- OpenAlex
- W259957856
- Cited by
- 427
- References
- 2
- FWCI
- 7.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Noninteractive Zero-Knowledge. https://app.cochat.ai/papers/10.1137/0220068
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- Blum, M., De Santis, A., Micali, S., & Persiano, G. (1991). Noninteractive Zero-Knowledge. SIAM Journal on Computing. https://doi.org/10.1137/0220068
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
