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Clarify Registration and PartyId #8

@spaceships

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@spaceships

The UC security modelling in https://eprint.iacr.org/2021/916.pdf makes use of a PartyId.

Clarify how registration happens and the role of PartyId.

  • KeyReg initialization should take a list of valid party IDs, or create them itself. PartyId is currently used as an index into the Merkle Tree as well as a global identifier for each party. The former could be chosen by KeyReg while the latter could be a hash of the public key.
  • Address maliciously chosen PartyIds by ensuring the public keys are unique.

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