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Secret sharing schemes deal with the problems that how to securely distribute a secret among a group of participants and reconstruct the secret by collecting the shares held in qualified sets. A Multi-Secret Sharing Scheme (MSSS) is an extension of a single secret sharing scheme where many secrets are distributed together. Max-Improvement Ratio (MaxIR) and Average-Improvement Ratio (AvIR) are the quantities that measure how well these approaches perform. Many papers study MSSS, but some of them can not be applied to general access structures. Pang et al.'s scheme can be applied to general access structures, but it is not secure enough and the public information in their scheme is too much.
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