The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Fully Homomorphic Encryption without Modulus Switching from Classical GapSVP
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Fully homomorphic encryption using ideal lattices
Gentry, C. (2009) · Proceedings of the forty-first annual ACM symposium on Theory of computing · doi:10.1145/1536414.1536440 · Cited by 6,806
Trapdoors for hard lattices and new cryptographic constructions
Gentry, C., Peikert, C., & Vaikuntanathan, V. (2008) · Proceedings of the fortieth annual ACM symposium on Theory of computing · doi:10.1145/1374376.1374407 · Cited by 2,435
A fully homomorphic encryption scheme
Boneh, D., & Gentry, C. (2009) · Cited by 2,341
On lattices, learning with errors, random linear codes, and cryptography
Regev, O. (2009) · Journal of the ACM · doi:10.1145/1568318.1568324 · Cited by 2,315
On lattices, learning with errors, random linear codes, and cryptography
Regev, O. (2005) · Proceedings of the thirty-seventh annual ACM symposium on Theory of computing · doi:10.1145/1060590.1060603 · Cited by 2,313
(1978) · Cited by 1,875
Fully Homomorphic Encryption over the Integers
van Dijk, M., Gentry, C., Halevi, S., & Vaikuntanathan, V. (2010) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-13190-5_2 · Cited by 1,858
On Ideal Lattices and Learning with Errors over Rings
Lyubashevsky, V., Peikert, C., & Regev, O. (2010) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-13190-5_1 · Cited by 1,831
(Leveled) fully homomorphic encryption without bootstrapping
Brakerski, Z., Gentry, C., & Vaikuntanathan, V. (2012) · Proceedings of the 3rd Innovations in Theoretical Computer Science Conference · doi:10.1145/2090236.2090262 · Cited by 1,782
Self-citationEfficient Fully Homomorphic Encryption from (Standard) LWE
Brakerski, Z., & Vaikuntanathan, V. (2011) · 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science · doi:10.1109/focs.2011.12 · Cited by 1,449
Self-citation
Research works printed but not linked: 6
- Gentry, C.: Fully homomorphic encryption using ideal lattices. In: STOC, pp. 169–178 (2009) · DOI · Paper page
- Goldreich, O., Goldwasser, S., Halevi, S.: Eliminating Decryption Errors in the Ajtai-Dwork Cryptosystem. In: Kaliski Jr., B.S. (ed.) CRYPTO 1997. LNCS, vol. 1294, pp. 105–111. Springer, Heidelberg (1997) · doi:10.1007/bfb0052230
- Ostrovsky, R.: IEEE 52nd Annual Symposium on Foundations of Computer Science, FOCS 2011, Palm Springs, CA, USA, October 22-25. IEEE (2011)
- Full version in J. ACM 51(6) (2004)
- Full version in J. ACM 56(6) (2009)
- Rogaway, P. (ed.): CRYPTO 2011. LNCS, vol. 6841. Springer, Heidelberg (2011)
Cited by
Advances and Open Problems in Federated Learning
Kairouz, P., & McMahan, H. B. (2021) · Foundations and Trends in Machine Learning · doi:10.1561/2200000083 · Cited by 7,772
“Different flavours of HE exist, ranging from general fully homomorphic encryption (FHE) [176] to the more efficient leveled variants [79, 160, 80, 112], for which several implementations exist [3, 350, 4].”
BackgroundHomomorphic Encryption for Arithmetic of Approximate Numbers
Cheon, J. H., Kim, A., Kim, M., & Song, Y. (2017) · Lecture Notes in Computer Science · doi:10.1007/978-3-319-70694-8_15 · Cited by 2,522
Efficient Fully Homomorphic Encryption from (Standard) LWE
Brakerski, Z., & Vaikuntanathan, V. (2011) · 2011 IEEE 52nd Annual Symposium on Foundations of Computer Science · doi:10.1109/focs.2011.12 · Cited by 1,449
Self-citationA Survey on Homomorphic Encryption Schemes: Theory and Implementation
Acar, A., Aksu, H., Uluagac, A. S., & Conti, M. (2019) · ACM Computing Surveys · doi:10.1145/3214303 · Cited by 1,397
FHEW: Bootstrapping Homomorphic Encryption in Less Than a Second
Ducas, L., & Micciancio, D. (2015) · Lecture Notes in Computer Science · doi:10.1007/978-3-662-46800-5_24 · Cited by 745
Metadata
- Authors
- Brakerski, Z.
- Venue
- Lecture Notes in Computer Science
- Publisher
- Springer Berlin Heidelberg
- Published
- 2012
- Pages
- 868-886
- ISSN
- 0302-9743 (ISSN-L)
- 1611-3349
- OpenAlex
- W2226167778
- Cited by
- 1,252
- References
- 32
- FWCI
- 42.10
- Type
- conference paper
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Fully Homomorphic Encryption without Modulus Switching from Classical GapSVP. https://app.cochat.ai/papers/10.1007/978-3-642-32009-5_50
- The paper
- Brakerski, Z. (2012). Fully Homomorphic Encryption without Modulus Switching from Classical GapSVP. Lecture Notes in Computer Science. https://doi.org/10.1007/978-3-642-32009-5_50
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.