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Secret sharing refers to splitting a secret among multiple parties so that together they can reconstruct it. All parties, or just a threshold number of them, can be required for reconstruction. If fewer than the required number of parties participate, no information should be leaked about the secret.

3 votes
1 answer
222 views

Secret Sharing Scheme, with joining players, no central entity

I am facing the the following problem: Lets assume i have a secret, $S$, I want to share it to $N$ players so that $K$ of them can cooperate in order to obtain the secret ($K$,$N$ scheme). Is there a …
Shak's user avatar
  • 229
3 votes
1 answer
367 views

Prove that shares can reveal a seceret key. in a secret sharing scheme

I am trying to build a cryptographic system that has several components and ran into a problem with a secret sharing scheme. Let $v$ be a value we are interested committing to. I generate a commitmen …
Shak's user avatar
  • 229
2 votes
1 answer
96 views

Creating a share of a random shared secret [duplicate]

I am interested to know if there is a solution to the following scenario: Assuming we have $n$ party members, is there a scheme that at the end of it, every party member $i$, holds a shamir's threshol …
Shak's user avatar
  • 229
1 vote
1 answer
97 views

Evaluation of polynomial when using elliptic curves for verifiable secret sharing

I am implementing the following the algorithm instructions as shown in 1 (section IV, B). When trying to verify the share given the commits, $a_jG$ verifier $i$ checks whether $f(i)G=\sum_{j=0}^{t} (x …
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  • 229