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Fully Homomorphic Encryption without Bootstrapping

Recently, Gentry and Halevi [9], and Brakerski and Vaikuntanathan [3], independently found very different ways to construct FHE without using the squashing step, and thus without the sparse subset sum assumption. These schemes are the first major deviations from Gentry’s blueprint for FHE. Brakerski and Vaikuntanathan [3] manage to base

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  Without, Encryption, Fully, Homomorphic, Gentry, Bootstrapping, Fully homomorphic encryption without bootstrapping

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