Mathematical Definition
Formally, our goal is to divide some data (e.g., the safe combination) into pieces in such a way that:
- Knowledge of any or more pieces makes easily computable.
- Knowledge of any or fewer pieces leaves completely undetermined (in the sense that all its possible values are equally likely).
This scheme is called threshold scheme. If then all participants are required to reconstruct the secret.
Read more about this topic: Shamir's Secret Sharing
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