It's not already implemented in Crypto++, but it does provide the tools 
for you to do it yourself. Use the Integer and Polynomial classes.

On Wed, Nov 27, 2002 at 04:05:20PM -0800, Kai Wei wrote:
> I was aware of that. But it's still different from what I'm looking for. The
> SecretSharing splits a secret (the private key in my case) into n shares,
> and the SecretRecovery recovers the secret given k shares of the secret. I
> don't want to recover the private key, but the thing encrypted with the
> private key (without revealing the private key).
> 
> My original description of the problem is a bit confusing. Let me restate
> it. I use RSA to encrypt some data P, resulting in ciphertext C. We want to
> secret-share the private key used in the encryption. We also want to be able
> to do the following: given the ciphertext C, and k shares of the secret
> private key, recover the data P. This has to be done without revealing the
> private key, however. That is, you cannot first combine the k shares to
> recover the private key, and then use the private key to decrypt the
> ciphertext.
> 
> There is a well-known algorithm to do this. But hte question is, is it
> implemented somewhere in Crypto++?
> 
> Thanks.
> 
> 
> ----- Original Message -----
> From: "Jeffrey Walton" <[EMAIL PROTECTED]>
> To: <[EMAIL PROTECTED]>
> Sent: Wednesday, November 27, 2002 3:25 PM
> Subject: Re: threshold decryption
> 
> 
> > ----- Original Message -----
> > From: Kai Wei
> > To: [EMAIL PROTECTED]
> > Sent: Wednesday, November 27, 2002 5:27 PM
> > Subject: threshold decryption
> >
> >
> > Hi,
> >
> > I'm working on a project that requires threshold decryption. Here we use
> RSA
> > to encrypt a secret. We want to split the RSA private key into n shares,
> > with k shares required to recover the private key. When we need to recover
> > the secret, we want to do so without first recovering the private key.
> That
> > is, we want k share-holders to decrypt the secret independently using
> their
> > own share of the private key, and then their results can be combined
> somehow
> > to recover the secret (not the private key!).
> >
> > I'm aware that the algorithm to do this is well-known. I just want to know
> > whether this is already implemented in Crypto++ (i.e., something that
> takes the
> > results from the k share-holders and combines them to recover the secret,
> OR,
> > sometihng that takes the encrypted secret and k shares of the private key,
> and
> > recovers the secret).
> > thanks.
> >
> > Hello Kai,
> >
> > Take a look at test.cpp, using the ss and sr switches.
> >
> > ss is secret share. Its code is located at line 614 (SecretShareFile(...))
> of
> > test.cpp.
> >
> > Jeff
> >
> >

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