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What steps does a recipient take to verify the authenticity of a received public key certificate?

To verify a certificate, the recipient first extracts the plaintext information and hashes it using the same hash function used by the CA. Simultaneously, the recipient decrypts the digital signature using the CA's public key to recover the original hash code. Finally, the recipient compares the newly computed hash with the recovered hash. If they match, the certificate is valid and the public key is authenticated.

Conditions

  • The recipient has the signed certificate.
  • The recipient possesses the correct public key of the issuing CA.
  • The recipient uses the same cryptographic hash function as the CA.

Reasoning, step by step

  1. The recipient separates the plaintext certificate data from the digital signature.
  2. The recipient applies the hash function (H) to the extracted plaintext data to generate a new hash code.
  3. The recipient uses the CA's public key to decrypt the digital signature (via function D), recovering the original hash code.
  4. The recipient compares the new hash code with the recovered hash code.
  5. If the two hash values are identical, the certificate is verified as authentic and unaltered.

Example

In the video, Alice receives Bob's certificate. She extracts the clear text information and hashes it. She also uses the certificate authority's public key to decrypt the signature to recover the hash code. She then compares these two hash values. If they match, it proves the public key has been properly signed by the CA.

Common misconceptions

  • Assuming the recipient decrypts the signature with their own private key; they must use the CA's public key.
  • Thinking that a mismatch in hashes only means the signature is wrong; it also indicates the data has been tampered with.

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Answers are generated from source material and independently checked. Consult the original video or creator if something is unclear.