Secret Sharing

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Secret Sharing is used to split a secret (usually a key) into several pieces which are then given to distinct persons so that some of these persons must cooperate to reconstruct the secret.

A Simple Approach

One simple approach to split a secret number into pieces such that any pieces are sufficient (and necessary) to reconstruct is using a polynomial.

When splitting the secret a random polynomial with is generated. The are calculated as .

Given any it is possible to interpolate the polynomial and calculate which gives the original secret .