Practical Post-Quantum Secure Publicly Verifiable Secret Sharing and Applications

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We present a new framework for constructing practically efficient publicly verifiable secret sharing(PVSS) with non-interactive dealers, in that the dealer may go offline after sending a single message, and is not involved in the share verification process. We use identity-based encryption (IBE) and commitments as the main ingredients and avoid expensive zero-knowledge proofs. Instantiating them with post-quantum secure schemes, a lattice-based IBE and a hash-based commitment, we obtain our firs