(Leveled) fully homomorphic encryption without bootstrapping

We present a novel approach to fully homomorphic encryption (FHE) that dramatically improves performance and bases security on weaker assumptions. A central conceptual contribution in our work is a new way of constructing leveled, fully homomorphic ...

We focus on the problem of constructing fully homomorphic encryption (FHE) schemes that achieve some meaningful notion of adaptive chosen-ciphertext security beyond $\text{CCA1}$. Towards this, we propose a new notion, called security against verified ...$$$$

In this paper, we propose the first (leveled) fully homomorphic encryption (FHE) that remains secure even when the attacker is equipped with auxiliary inputs – any computationally hard-to-invert function of the secret key. It is more general than ...