Crate secret_sharing_and_dkg

Modules

• common
• distributed_dlog_check
  Distributed discrete log (DLOG) check
• error
• feldman_dvss_dkg
  Feldman Distributed Verifiable secret sharing and distributed key generation.
• feldman_vss
  Feldman Verifiable Secret Sharing Scheme. Based on the paper A practical scheme for non-interactive verifiable secret sharing
• frost_dkg
  This is the keygen implemented in the FROST paper in Figure 1. This is a slight addition to the DKG based on Feldman VSS as it contains a Schnorr proof of knowledge of the secret key.
• gennaro_dkg
  Based on the paper Secure Distributed Key Generation for Discrete-Log Based Cryptosystems Scheme is defined in Fig 2. The protocol is run in 2 phases: Phase1 where all participants generate a secret and share it using Pedersen VSS and in Phase 2 participants distribute commitments as per Feldman VSS and generate the public key at the end. The public key is assumed to be of the form G*x where x is the secret key and G is the group generator.
• pedersen_dvss
  Pedersen Distributed Verifiable secret sharing. Based on the paper “Non-interactive and information-theoretic secure verifiable secret sharing”, section 5. https://www.cs.cornell.edu/courses/cs754/2001fa/129.PDF Does not involve a trusted third party but assumes that all participants (and not just threshold) participate till the end. Even if one participant aborts, the protocol needs to be restarted. A workaround is for each participant to ignore the faulty participant’s share essentially making it such that the faulty participant was never there.
• pedersen_vss
  Pedersen Verifiable secret sharing. Based on the paper “Non-interactive and information-theoretic secure verifiable secret sharing”, section 4. https://www.cs.cornell.edu/courses/cs754/2001fa/129.PDF. The basic idea is the following
• shamir_ss
  Shamir secret sharing