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Identifiable Abort #111

@jfdreis

Description

@jfdreis

Feature request

You mention in the README file that the identifiable abort (IA) feature is not fully supported. At Nillion, we are interested in integrating this feature in the 3+1 protocol version.

Q1: Are you already working on this? Otherwise, we would like to contribute.

Implementation details

We've looked into the code and it seems that most of the ZK-protocols are already implemented together with the blame option, allowing to have some degree of IA. According to the docs, there are two ways to request a signature:

  1. Running cggmp21::signing, which ends up calling signing_n_out_of_n and runs the whole signing protocol at once,
  2. or through the chain of operations generate_presignature -> issue_partial_signature -> combine.

To support IA following option 1, we would need to include 3 new zkps ($\Pi^{mul}$, $\Pi^{mul*}$ and $\Pi^{dec}$) into paillier-zk repo and integrate them here and here.

Option 2 seems a bit more evolving as we would need to save the transcripts in-between the function calls.

Q.2 Is the above sensible? Are we missing any major blocker?

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