# Tag Info

4

We use circuits because they are universal (any function you want to compute can be expressed as a circuit) and because they are convenient (because we know how to solve the problem of fully homomorphic encryption for circuits but not for other models). In particular, circuits are in some sense simple: all you need to do is find a way to implement an AND ...

1

Let $\rho$ be the 'initial noise level' of ciphertexts output by FHE.Enc. Fix any such ciphertexts $c_1$, ..., $c_k$. Fix some function, written as a circuit $C$. Let $\rho_f$ be the 'final noise level' of ciphertexts output by FHE.Eval($C$, $c_1$, ..., $c_k$). And observe that it should be easy to distinguish a ciphertext $c$ with noise-level $\rho$ from ...

0

Take a look at the SSARES system. According to the abstract, Our solution encrypts email (the headers, body, and attachments) as it arrives on the server using public–key encryption. SSARES uses a combination of Identity Based Encryption and Bloom Filters to create a searchable index. This index reveals little information about search keywords and ...

2

A homomorphic cryptosystem has some operation $*$ on ciphertexts that correspond to some other operation $\circ$ on plaintexts, that is $$\mathcal{D}(c_1 * c_2) = \mathcal{D}(c_1) \circ \mathcal{D}(c_2).$$ Typically, the ciphertexts you get by applying $*$ look like ciphertexts that are produced by the encryption algorithm. For Damgård-Jurik, $*$ is ...

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