A Hash-Based Multi-Use Multi-Stage Secret Sharing Scheme with General Access Structure

In the multi-use multi-stage secret sharing scheme, the dealer is able to share several secrets among a group of participants, and the secrets are reconstructed stage by stage such that the reconstruction of secrets at earlier stages does not reveal or weaken the secrecy of the remaining secrets. Since the hash functions are quick and easy to calculate, in this paper, we propose a multi-use multi-secret sharing scheme based on a hash function that makes the method very efficient. This scheme is resistant to the cheating of participants. Also, by using the Diffie-Hellman key exchange protocol, the dealer and participants communicate with each other through a public channel. The structure of the proposed scheme is safe against one-known-secret attack.