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A certificate is the name, public key and signature
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message and signs that message using its private key. Gwen now has a certificate and distributes it. So when Pao-Chi collects Gwen s public key, what he s really collecting is her certificate. Now suppose Satomi tries to replace Gwen s public key with her own. She finds the file on Pao-Chi s laptop holding Gwen s public key and substitutes the keys. But when Pao-Chi loads the key, he s not loading just the key, he s loading the certificate. He can extract the public key from the certificate if he wants, but before he does that, he verifies that the certificate is valid using the CA s public key. Because the message has been altered, the signature does not verify and Pao-Chi does not trust that public key. Therefore, he will not create a digital envelope using that public key, and Satomi will not be able to read any private communications. Of course, that scenario assumes that Pao-Chi has the CA s public key and that he can trust no one has replaced it with an imposter s. Because he can extract it from the CA s certificate, Pao-Chi knows he has the true CA public key. Just as Gwen s public key can be wrapped in a certificate, so can the CA s. Who signed the CA s certificate Probably another CA. This could go on forever.
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But it has to stop somewhere and that somewhere is the root. A root will sign a CA s certificate, and the root key is distributed outside the certificate hierarchy. Maybe the root is built into software; maybe Pao-Chi will have to enter it himself. Of course, if Satomi is able to substitute the root public key with one of her own, she can subvert the whole system. So Pao-Chi needs to protect the root key as he does his symmetric key and his own private keys.
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As discussed in 4, it s possible to set up a scheme to restore keys that someone loses by forgetting a password or losing a token. However, it s probably not a good idea to apply a key recovery plan to signing keys. If a signing key can be obtained by someone other than the owner (even if that is a trusted third party or a committee of trustees), that would make it possible to nullify nonrepudiation. Anyway, if someone loses a signing key, it s no great problem; any existing signatures are still valid because only the public key is needed to verify. For new signatures, you simply generate a new key pair and distribute the new public key. For this reason, many protocols specify that participants have separate signing and key exchange keys. As you will see in s 6 and 7, it is possible to define a key as signing only or key encrypting (with the RSA digital envelope) or as key exchange only (with the Diffie-Hellman protocol).
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To verify that a message came from the purported sender, you can use public-key cryptography. A private key is used to sign the data, and the public key is used to verify it. The only known way to produce a valid signature is to use the private key. Also, a signature is unique to a message; each message and private key combination will produce a different signature. So if a public key verifies a message, it must be that the associated private key signed that message. Three main algorithms are used as signature schemes: RSA, DSA, and ECDSA. Each algorithm has its advantages and disadvantages, and it s not really possible to say that one or the
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