期刊
ADVANCES IN CRYPTOLOGY - CRYPTO 2012
卷 7417, 期 -, 页码 868-886出版社
SPRINGER-VERLAG BERLIN
DOI: 10.1007/978-3-642-32009-5_50
关键词
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We present a new tensoring technique for LWE-based fully homomorphic encryption. While in all previous works, the ciphertext noise grows quadratically (B -> B-2 . poly(n)) with every multiplication (before refreshing), our noise only grows linearly (B -> B . poly(n)). We use this technique to construct a scale-invariant fully homomorphic encryption scheme, whose properties only depend on the ratio between the modulus q and the initial noise level B, and not on their absolute values. Our scheme has a number of advantages over previous candidates: It uses the same modulus throughout the evaluation process (no need for modulus switching), and this modulus can take arbitrary form. In addition, security can be classically reduced from the worst-case hardness of the GapSVP problem (with quasi-polynomial approximation factor), whereas previous constructions could only exhibit a quantum reduction from GapSVP.
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