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Feb 20, 2017 at 19:59 comment added 111 I don't think that is obvious. The notation you used is not very sound since the cloud can not compute $E(F(m)),$ unless you clearly state what you mean. Also, if you feel that you are wasting your time, you have the option not to answer to the comments!
Feb 20, 2017 at 17:06 comment added MickLH $F'(x) = \text{Eval}(F, x)$ Everything you've said is extremely obvious and you clearly have not taken the time to understand why I've given a more detailed answer than your extremely obvious rambling there. You're wasting my time and I'm feeling quite silly for sketching a rigorous argument when clearly the community isn't even at Wikipedia level on the topic yet. :(
Feb 19, 2017 at 19:14 comment added 111 Not sure, what do you mean. But a FHE scheme has an evaluator, ${\it Eval}$ which is an efficient algorithm and a function (usually implemented as a circuit) say F, such that if $c=Enc(m)$ then $Dec(Eval(F,c))=F(m).$ So with $E(F(m))$ perhaps you mean ${\it Eval}(F,c)?$ Cloud can not work directly with the plaintext $m.$
Feb 19, 2017 at 4:10 comment added MickLH No. That's the mistake of the asker that I've corrected. It is actually $F'(E(m)) = E(F(m))$, the actual function applied to the ciphertext may be strange. It is the effective function that we care about.
Feb 19, 2017 at 0:19 comment added 111 you mean $F(E(m))$?
Feb 17, 2017 at 21:30 history answered MickLH CC BY-SA 3.0