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FROST Robust KeyGen Using BFT Broadcast

We are using the FROST KeyGen protocol described in the FROST paper. The lack of agreement in the second round has been identified as a weakness and we address the weakness by using a byzantine fault tolerant reliable broadcast.

Goals

  1. Robustness - we need federations to stay up and make progress, as long as a threshold number of parties are working correctly.

  2. Threshold - we require that only a threshold t < n/3 of parties can fail. We require an honest majority to make progress. If more parties fail, the federation disbands and all parties can unilaterally exit from their contracts.

  3. No coordinator - We require there is not coordinator as this party can be DDoSed in an online setting.

Proposed Solution

We don’t go through the entire KeyGen protocol here as that will probably result in an error :) Instead, we only highlight how we use a BFT reliable broadcast in the second round of KeyGen.

We use Bracha’s echo broadcast to allow all parties to be sure at least a threshold number of parties have received the same shares from all other parties.

This is how we can use Bracha’s protocol during round 2 of FROST KeyGen. We add a new step 1.1 right after step 1 of round 2 of FROST KeyGen.

The new step 1.1 requires that

  1. Each party reliably broadcasts a hash of their secret share (l, f_i(l)) using Bracha’s protocol.

  2. Each party validates that secret shares they have received from t parties have been acknowledged by t parties by comparing the hash of the secret share they received with the hashes broadcast in 1.

    1. Note: t < n/3 here.

  3. Continue to step 2 of round 2 from FROST KeyGen.