A General Multi-Secret Sharing Scheme for Cheat-Proof
Xiaoli Li
Abstract
Xiaoli Li
Abstract
The most present threshold multi-secret sharing schemes cannot efficiently solve the problem that a participant is dynamic added or deleted.In this study,an efficient multi-secret sharing scheme is designed with general access structure based on the intractability of reversing the one-way Hash function and solving the discrete logarithm problem.The proposed scheme has the following properties:cheating of the dealer or any participant can be detected efficiently;two public parameters of a new secret would be published by the dealer;the participants reconstruct a secret with parallel procedure in a secret recovery phase;and the shadows of other participants would not change when the system accepts a new participant or fires an old participant.
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The most present threshold multi-secret sharing schemes cannot efficiently solve the problem that a participant is dynamic added or deleted.In this study,an efficient multi-secret sharing scheme is designed with general access structure based on the intractability of reversing the one-way Hash function and solving the discrete logarithm problem.The proposed scheme has the following properties:cheating of the dealer or any participant can be detected efficiently;two public parameters of a new secret would be published by the dealer;the participants reconstruct a secret with parallel procedure in a secret recovery phase;and the shadows of other participants would not change when the system accepts a new participant or fires an old participant.
Key concepts: Secret sharing, Cheating, Discrete logarithm, Computer science, Homomorphic secret sharing, Hash function, Scheme (mathematics), Verifiable secret sharing