Shamir's Secret Sharing - Mathematical Definition

Mathematical Definition

Formally, our goal is to divide some data (e.g., the safe combination) into pieces in such a way that:

  1. Knowledge of any or more pieces makes easily computable.
  2. 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

Famous quotes containing the words mathematical and/or definition:

    As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry.
    Blaise Pascal (1623–1662)

    It’s a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was “mine.”
    Jane Adams (20th century)