Hi Janus, 

On Thu, Jun 18, 2009 at 04:36:15PM +0200, Janus Dam Nielsen wrote:
>    Great to hear from you, I will be your main contact, because I am
>    probably the VIFF user who will be needing a fast homomorphic
>    implementation the soonest.
>    I guess that the actual scheme you are implementing is the Paillier
>    encryption scheme?

Yes, i'm implementing the Paillier scheme. Currently i have C version of
VIFF python implementation and i'm busy doing the CRT and subgroup
version of the scheme. When i'm done its the base line for my
improvement version. That version should allready be a lot faster the
basic Python/C implementation. 
I'm expecting speed certainly in the computational direction, but in
the speedup in the algebraic setting is gonna be hard. 

>    We generally use Paillier as a part of secure multiparty computation
>    protocols, where each party has his own secret key and knows the public
>    keys of the other players. The ciphertexts are generally multiplied a
>    substantial number of times.

Can you give me the background of this application?

>    We generally would like an implementation which is similar to the one
>    already in VIFF in terms of API and functionality. I am not sure I
>    understand what you mean by "missing a key setup/generation function",
>    currently in Python there is a function which generates keys. If there
>    are alternatives, then what are they and what would you suggest?

I don't think that is going to be a problem. The wish list that i'm
mentioning is for the C-api. So, please for get this. Also, i don't see any 
problems adapting for
python. Creating a python binding should easy to make. Do you have time
frame for when you are going to use the paillier implementation? Or is
it already running?

>    Great, I hope it will outperform any other implementation ever made :)
>    Having Python bindings for the c implementation is also of large value
>    to us.

I'm pushing as hard as i can (-;

Kind regards, 


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