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Asynchronous Distributed Key Generation

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Builds an asynchronous DKG that replaces a trusted dealer with a two-dimensional secret sharing scheme (bivariate polynomials) that separates safety and liveness quorums so the threshold key is safe against up to f corrupted nodes while remaining live with f+1 participants. Produces a weak DKG with eventual agreement and monotone predictions, which yields an eventual common coin via threshold signatures; at most f sequence numbers can disagree. Worst-case binary agreement costs O(n^4) when adversary triggers all f disagreements, otherwise it amortizes to optimal complexity.

AI-written summary · about

  1. 0:00Start
  2. 0:43Scalable Consensus Algorithms
  3. 2:09Primer in Secret Sharing
  4. 2:55Threshold Signatures
  5. 3:22Why? [Partial Synchrony]
  6. 8:30High-Threshold AVSS
  7. 8:51HAVSS - Threshold 2f+1
  8. 10:52HAVSS - Properties
  9. 12:29weak Distributed Key Generation
  10. 19:39Asynchronous DKG
  11. 27:27Applications
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