Abstract:

Cheating immune secret sharing in the unconditionally secure case was investigated. Secret sharing is a kcheating immune if any k cheaters are not better off than a participant which follows the protocol honestly. kcheating immune secret sharing scheme under the unconditionally secure would be given. The obtained function of the secret sharing scheme is kresilient and satisfies kstrengthened propagation criterion. Furthermore, its degree is high. So it has better cryptographic properties than that of the known results.

Key words: secret sharing, (strengthened) propagation criterion;correlation immune functions, resilient functions