Question: (cryptography) 2. Consider the prime number p = 23 and g = 2 and assume they are public. During Diffie- Hellman key exchange process, Alice

(cryptography) 2. Consider the prime number p = 23 and g = 2 and assume they are public. During Diffie- Hellman key exchange process, Alice published her public key A = 12. Bob chooses a private key k = 5 and compute the public key to be sent to Alice. (a) What is the shared secret key for both Bob and Alice? (b) Bob uses the ElGammal Cryptosystem to encrypt the message m =7 and send it to Alice. What does Bob send to Alice (ciphertext)? (c) What is the plaintext message if Alice receives the ciphertext (4, 15)? You may need find Alice's private key a

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