I believe with
Shamir’s Secret Sharing Scheme, I can create an n-part secret and distribute each of those parts to
n parties. But the weakness is that I still know all the parts.
Is there a mechanism in which
n parties can each have a secret that none of the other parties know, but yet have the public key be known in advance?
In asymmetric cryptography, if I have a private key, I can share the public key freely and then I can digitally sign a message proving that I have the private key for that public one. I assume something similar can be done with Samir’s SSS, but what I’m seeking is a way to do it in a distributed fashion.
Thanks in advance!