Implicit Certificate - Generating Implicit Certificates

Generating Implicit Certificates

Initially the elliptic curve parameters must be agreed upon. We define as a generating point of order . The Certificate Authority (CA) will have private key and public key . Alice will be the user who requests the implicit certificate from the CA.

  1. Alice generates a random integer and computes and sends that to the CA. The CA does all the rest.
  2. CA Select a random integer from and computes .
  3. CA computes (this is the implicit certificate)
  4. CA computes, where is a cryptographic hash function, such as SHA and is Alice's identifying information.
  5. CA computes
  6. CA sends to Alice

Alice’s private key is

Alice’s public key is

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