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Public key cryptography can also be used to verify the authenticity and integrity of a message This is used to verify that a specific party did, in fact, create the message The procedure is as follows: 1 User A publishes his public key to the Internet at a convenient location 2 User B retrieves User A s public key and saves it for later use 3 User A creates a message and digitally signs it with his private key, and then sends the signed message to User B 4 User B verifies the digital signature using User A s public key If the message verifies correctly, User B knows that the message originated from User A and has not been altered in transit In this example, only the authenticity and integrity of a message is assured The message is not encrypted, which means that it can be read by any party that intercepts the message Public key cryptography can be used to both encrypt and digitally sign a message, which will guarantee its confidentiality as well as its authenticity The procedure is as follows: 1 User A and User B publish their public encryption keys to convenient places 2 User A retrieves User B s public key, and User B retrieves User A s public key 3 User A creates a message, then signs it with his private key and encrypts it with User B s public key, and then sends the message to User B 4 User B decrypts the message with his private key and verifies the digital signature with User A s public key Public key cryptography also supports encryption of a message with more than one user s public key This permits a user to send a single encrypted message to several recipients that is encrypted with each of their public keys This method does not compromise the secrecy of any user s private key, since a user s private key cannot be derived from the public key
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Figure 6-7 Public key cryptography used to transmit a secret message
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Verifying Public Keys It is possible for a user to claim the identity of another and even publish a public key that claims the identity of the other party Three methods are available for verifying a user s public key as genuine Certificate authority A public key that has been obtained from a trusted, reputable certificate authority can be considered genuine E-mail address Public keys used for e-mail will include the user s e-mail address If the e-mail address is a part of a corporate or government domain (for example, adobecom or seattlegov), then some level of credence can be attributed to the successful exchange of messages with that e-mail address However, since e-mail addresses can be spoofed, this should be considered a weak method at best Key fingerprint Many public key cryptosystems employ a method for verifying a key s identity, known as the key s fingerprint If a user wishes to verify a public key, the user retrieves the public key and calculates the key s fingerprint The user then contacts the claimed owner of the public key, who runs a function against his private key that returns a string of numbers The user also runs a function against the owner s public key, also returning a string of numbers If both numbers match, the public key is genuine NOTE When verifying a public key, it is essential that the purported owner of the public key be authenticated, such as by viewing a government-issued ID or by contacting the owner at a publicly listed telephone number
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Hashing is the process of applying a cryptographic algorithm on a block of information that results in a compact, fixed-length digest The purpose of hashing is to provide a unique fingerprint for the message or file even if the file is very large A message digest can be used to verify the integrity of a large file, thus assuring that the file has not been altered Some of the properties of message digests that make them ideally suited for verifying integrity include: Any change made to a file even a single bit or character will result in a significant change in the hash It is computationally infeasible to make a change to a file without changing its hash It is computationally infeasible to create a message or file that will result in a given hash It is infeasible to find any two messages that will have the same hash One common use of message digests is on software download sites, where the computed hash for a downloadable program is available so that users can verify that the software program has not been altered (provided that the posted hash has not also been compromised)
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