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A (t,n)- threshold signature scheme enables distributed signing among n players such that any subgroup of size t can sign, whereas any group with fewer players cannot. Our goal is to produce signatures that are compatible with an existing centralized signature scheme: the key generation and signature algorithm are replaced by a communication protocol between the parties, but the verification algorithm remains identical to that of a signature issued using the centralized algorithm. Starting fromarXiv:2007.04036v2 fatcat:5n2rmzsqrzamdbylowbp532e4e