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Digital signatures rely on a symmetric key cryptography. Before discussing digital signatures, it is important to understand how symmetric key cryptography works. In asymmetric key cryptography, there is a pair of mathematically related keys. If you encrypt a message with one key, only the other key can be used to decrypt it. For example, Sheila wants Albert to send her a secret message. She needs an asymmetric pair of keys, which can be generated by a computer program. Sheila sends Albert a copy of one key and keeps the other key to herself. Alternatively, she could place the key in a public place for Albert to retrieve. Even if someone else obtains the public key, it doesn't matter. Albert uses the public key to encrypt his message and sends the ciphertext to Sheila. Only Sheila can decrypt the ciphertext because she possesses the matching private key.
