Asymmetric cryptography is often regarded as Public-key cryptography. It often uses pairs of keys. The process that Alex should use along with asymmetric cryptography so that John can be sure that the received document is real is Digital signature algorithm.
The Digital Signature Algorithm is simply known to be a Federal Information Processing Standard for digital signatures.
DSA as it is often called is gotten from the Schnorr and ElGamal signature schemes.
It often used for digital signature and its verification and thus shows authenticity.
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