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Alice and Bob communicate over an insecure network and want to securely exchange information. They decided to use a Caesar cipher for encryption and the

Alice and Bob communicate over an insecure network and want to securely exchange
information. They decided to use a Caesar cipher for encryption and the Diffie-Hellman
key exchange for secure key generation. Alice and Bob decide to use the Diffie-Hellman
key exchange to generate a shared secret key for decrypting their messages. Figure 1
shows the numerical representation of the alphabet.
a)If Alice chooses a private key (a =5) and Bob chooses a private key (b =7), and the agreed-upon base (g =3) with a prime modulus (p =17). Compute the shared secret key for Bob and Alice.
b)Decrypt the following encrypted terms.
i.DVC
ii.UOBLOBYC
iii.WPK
iv.FSBEC
v.SZ
c)Explain each of the decrypted terms in (b).
(4 Marks)
(5 Marks)
(5 Marks)
d)Explain how the Diffie-Hellman key exchange is vulnerable to a man-in-the-middle attack.
(4 Marks)
e)Provide TWO (2) possible solutions to overcome the vulnerability of the Diffie- Hellman key exchange to man-in-the-middle attacks.
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