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2019-04-29
Gennaro, Rosario, Goldfeder, Steven.  2018.  Fast Multiparty Threshold ECDSA with Fast Trustless Setup. Proceedings of the 2018 ACM SIGSAC Conference on Computer and Communications Security. :1179–1194.

A threshold signature scheme enables distributed signing among n players such that any subgroup of size \$t+1\$ can sign, whereas any group with t or fewer players cannot. While there exist previous threshold schemes for the ECDSA signature scheme, we are the first protocol that supports multiparty signatures for any \$t łeq n\$ with an efficient dealerless key generation. Our protocol is faster than previous solutions and significantly reduces the communication complexity as well. We prove our scheme secure against malicious adversaries with a dishonest majority. We implemented our protocol, demonstrating its efficiency and suitability to be deployed in practice.