Abstract
In a verifiable multi-secret sharing scheme, multiple secrets can be shared in one process and the shares can be verified. We propose a novel verifiable multi-secret sharing scheme in this paper. The scheme has the following advantages: (i) A mutually trusted dealer is no longer needed to distribute shares; (ii) shares can be verified by shareholders both in the secret generation and reconstruction phases; and (iii) any adversary without providing a valid share cannot recover the real secrets in the secret reconstruction phase. A secret sharing scheme with above-mentioned advantages is also described as a stepping stone, before we propose the multi-secret sharing scheme. We give the definition of a
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