The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
FHEW: Bootstrapping Homomorphic Encryption in Less Than a Second
Open accessAbstract
The main bottleneck affecting the efficiency of all known fully homomorphic encryption (FHE) schemes is Gentry’s bootstrapping procedure, which is required to refresh noisy ciphertexts and keep computing on encrypted data. Bootstrapping in the latest implementation of FHE, the HElib library of Halevi and Shoup (Crypto 2014), requires about six minutes. We present a new method to homomorphically compute simple bit operations, and refresh (bootstrap) the resulting output, which runs on a personal computer in just about half a second. We present a detailed technical analysis of the scheme (based on the worst-case hardness of standard lattice problems) and report on the performance of our prototype implementation.
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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
The Design and Implementation of FFTW3
Frigo, M., & Johnson, S. G. (2005) · Proceedings of the IEEE · doi:10.1109/jproc.2004.840301 · Cited by 5,086
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
NTRU: A ring-based public key cryptosystem
Hoffstein, J., Pipher, J., & Silverman, J. H. (1998) · Lecture Notes in Computer Science · doi:10.1007/bfb0054868 · Cited by 1,947
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
Gentry, C., Sahai, A., & Waters, B. (2013) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-40041-4_5 · Cited by 1,492
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
Fully Homomorphic Encryption without Modulus Switching from Classical GapSVP
Brakerski, Z. (2012) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-32009-5_50 · Cited by 1,252
Fully Homomorphic Encryption from Ring-LWE and Security for Key Dependent Messages
Brakerski, Z., & Vaikuntanathan, V. (2011) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-22792-9_29 · Cited by 1,096
Implementing Gentry’s Fully-Homomorphic Encryption Scheme
Gentry, C., & Halevi, S. (2011) · Lecture Notes in Computer Science · doi:10.1007/978-3-642-20465-4_9 · Cited by 889
Cited by
Homomorphic 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
A 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
TFHE: Fast Fully Homomorphic Encryption Over the Torus
Chillotti, I., Gama, N., Georgieva, M., & Izabachène, M. (2020) · Journal of Cryptology · doi:10.1007/s00145-019-09319-x · Cited by 990
A Full RNS Variant of Approximate Homomorphic Encryption
Cheon, J. H., Han, K., Kim, A., Kim, M., & Song, Y. (2019) · Lecture Notes in Computer Science · doi:10.1007/978-3-030-10970-7_16 · Cited by 357
Survey on Fully Homomorphic Encryption, Theory, and Applications
Marcolla, C., Sucasas, V., Manzano, M., Bassoli, R., Fitzek, F. H. P., & Aaraj, N. (2022) · Proceedings of the IEEE · doi:10.1109/jproc.2022.3205665 · Cited by 323
Metadata
- Authors
- Ducas, L., & Micciancio, D.
- Venue
- Lecture Notes in Computer Science
- Publisher
- Springer Berlin Heidelberg
- Published
- 2015
- Pages
- 617-640
- ISSN
- 0302-9743 (ISSN-L)
- 1611-3349
- OpenAlex
- W913176383
- Cited by
- 745
- References
- 30
- FWCI
- 23.86
- Type
- conference paper
- Language
- en
- Open access
- green
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