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Which of the following is not true of hash functions? Hash functions help detect forgeries by computing a checksum of a message and then combining

Which of the following is not true of hash functions?
Hash functions help detect forgeries by computing a checksum of a message and then combining it with a cryptographic function so that the result is tamperproof.
The hashes produced by a specific hash function may vary in size.
A hash is a checksum designed so that no one can forge a message in a way that will result in the same hash as a legitimate message.
The output from the message digest algorithm (MD5) or the Secure Hash Algorithm (SHA) hash provides input for an asymmetric key algorithm that uses a private key as input.
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