Paper 2011/328 Original: eprint.iacr.org/2011/328 ↗

Cryptanalysis of the Smart-Vercauteren and Gentry-Halevi’s Fully Homomorphic Encryption

Gu Chunsheng
Abstract

For the fully homomorphic encryption schemes in [SV10, GH11], this paper presents attacks to solve equivalent secret key and directly recover plaintext from ciphertext for lattice dimensions n=2048 by using lattice reduction algorithm. According to the average-case behavior of LLL in [NS06], their schemes are also not secure for n=8192.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2012-01-08: last updated
2011-06-22: published
Short URL
https://ia.cr/2011/328
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2011/328,
      author = {Gu Chunsheng},
      title = {Cryptanalysis of the Smart-Vercauteren and Gentry-Halevi’s Fully Homomorphic Encryption},
      howpublished = {Cryptology {ePrint} Archive, Paper 2011/328},
      year = {2011},
      url = {https://eprint.iacr.org/2011/328}
}
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