George Blakley - Secret-sharing Scheme

Secret-sharing Scheme

In order to split a secret into several shares, Blakley's scheme specifies the secret as a point in n-dimensional space, and gives out shares that correspond to hyperplanes that intersect the secret point. Any n such hyperplanes will specify the point, while fewer than n hyperplanes will leave at least one degree of freedom, and thus leave the point unspecified.

In contrast, Shamir's secret sharing scheme represents the secret as the y-intercept of an n-degree polynomial, and shares correspond to points on the polynomial.

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