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Discrete Applied Mathematics

Properties and constraints of cheating-immune secret sharing schemes

Paolo D’Arco, Wataru Kishimoto, Douglas R. Stinson

Published Sep 20, 2005• 7 citations
Publisher
DOI
10.1016/j.dam.2005.03.026

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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.