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Lecture Notes in Computer Science
Fully homomorphic encryption over the integers (FHE-OI) is currently the only alternative to lattice-based FHE. FHE-OI includes a family of schemes whose security is based on the hardness of different variants of the approximate greatest common divisor (AGCD) problem. The majority of these works is based on the noise-free variant of AGCD which is potentially weaker than the general one. In particular, the noise-free variant relies on the hardness of factoring and is thus vulnerable to quantumdoi:10.1007/978-3-662-54388-7_10 fatcat:bi27v6ouy5hwbdhtlg6fz3i7cu