Method for sharing secret information among cooperating parties

摘要

A method and system for distributing a secret to a plurality of computing systems. In one embodiment, the method determines the number (n) of shares to generate and a threshold number (k) of the shares from which the secret can be reconstructed. The method further chooses n coprime random bit strings in any one of general rings as moduli, the general rings including one or more non-integer rings. The secret is then embedded in a bit string which is at least one bit longer than the product of any k−1 moduli and at least one bit shorter than the product of any k moduli. The method further computes shares of the bit string for distribution to n computing systems, each share including one of the moduli and a corresponding remainder.