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8. (15 points) Alice and Bob wish to create a secure connection, so they use the Diffie-Hellman key ex change. They select the public values

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8. (15 points) Alice and Bob wish to create a secure connection, so they use the Diffie-Hellman key ex change. They select the public values of p 43 and g9 (a) Alice chooses a secret value of a 3. Calculate her initial message to Bob (b) Bob responds with 10. Calculate the shared secret value (c) The Diffie-Hellman key exchange has an important vulnerability. Describe how Trudy might inter- cept communication between Alice and Bob if they are not careful. What measures can they take to defend against this attack

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