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Title:
Cryptanalysis of the Smart-Vercauteren and Gentry-Halevi’s Fully Homomorphic Encryption
Authors: 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.
ePrint: https://eprint.iacr.org/2011/328
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