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FULLY HOMOMORPHIC ENCRYPTION: CURRENT STATE OF THE ...

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Homomorphic Encryption<br />

“I want 1) the cloud to process my data<br />

2) even though it is encrypted.<br />

Alice<br />

(Input: data x, key k)<br />

f(x)<br />

Enc k(x)<br />

function f<br />

This could be<br />

encrypted too.<br />

Enc k[f(x)]<br />

The special sauce! For security<br />

parameter k, Eval’s running<br />

should be Time(f)·poly(k)<br />

Run<br />

Eval[ f, Enc k(x) ]<br />

= Enc k[f(x)]<br />

Server<br />

(Cloud)<br />

Delegation: Should cost less for<br />

Alice to encrypt x and decrypt f(x)<br />

than to compute f(x) herself.

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