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Great point they can just interpolate existing keys, but yes i believe the security is weakened - maybe ok in certain contexts. By omitting the commitment round, you allow for a misbehaving participant to bias the distribution of key generation outcomes by selectively complaining/failing (mentioned in FROST paper sec 2.3).

nostr:npub1l6uy9chxyn943cmylrmukd3uqdq8h623nt2gxfh4rruhdv64zpvsx6zvtg thanks again for these great posts , nostr:npub160t5zfxalddaccdc7xx30sentwa5lrr3rq4rtm38x99ynf8t0vwsvzyjc9 you might be interested in checking them out:

https://conduition.io/cryptography/shamir/

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conduition 1y ago

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