1.Alice and Bob want to establish a common key pair using theDiffie-Hellman key exchange protocol and then use it in to sendeach other messages using a symmetric cipher. They agree by emailon a prime p=877 and a primitive root (generator) a= 453; these arepublic knowledge). Then Alice chooses secret x=25 while Bob choosessecret y=13.Aliceis in Australia while Bob is in Brazil. Carl, a Canadian friend ofAlice, has been tracking the email received and sent by Alice anddecides that he wants to listen in on conversations between Aliceand Bob. Carl therefore sets up a man-in-the-middle attack asfollows.Carlsees the set-up agreed to
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