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In this paper, we propose a dynamic threshold and verifiable multi-secret sharing scheme. Some secrets are protected by distributing them among many participants, whereby only an authorized group of participants can reconstruct the secrets. In our scheme, the secret will change periodically and the dealer will periodically publish some of the information, in addition, the participants can verify the information which they have received. Each participant holds only one permanent, private secret, and some of them use it during different time periods to reconstruct the corresponding shared secrets without revealing their own private information. Because some public information is renewed in our scheme, the old information has nothing to do with the next secret. We also compare our scheme to Chen et al.Â¿s scheme, and we will present some analyses which show that our scheme has smaller storage requirements than the previous scheme.