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Threshold cryptography is the art of chopping a secret into little bits, so that the secret can only be learned by possessing more than a threshold number of those bits.
2
votes
How the degree reduction in BGW protocol works?
I refer you to a full proof of the paper with all of the details on how the protocol works. See: http://eprint.iacr.org/2011/136.pdf.
4
votes
Accepted
Undetectable cheater in Shamir's Secret Sharing scheme
The way to prove this is to follow the same proof that Shamir's secret sharing is perfectly secret. Specifically, given any two points all secrets are possible since there is a polynomial going throug …
3
votes
Accepted
ECDSA threshold signing
I just saw this question now. There is no reference implementation of the 2-party threshold ECDSA protocol since this was joint work with Unbound Tech (previously Dyadic Security), and they did the im …
2
votes
Time efficiency of Bitcoin Multi-signature Vs. threshold signature
There are some possible advantages to threshold signing. First, it enables a more flexible setting where the key can be divided into $n$ parts and any subset of $t$ can be used to sign. Second, you ca …