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2. RSA (35 points) a. Question 1 (10 points) If we choose p as 19 and q as 17 , what would be the n,

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2. RSA (35 points) a. Question 1 (10 points) If we choose p as 19 and q as 17 , what would be the n, e and d ? Show all your calculations. b. Question 2 ( 20 points) If we choose RSA to encrypt a message ("CMIS") https://portal.nutanix.com/page/documents/kbs/details?targetld=kA07VO00000LWYqSAO clearly show how the message will be encrypted by using the public key (n,e) and how the decryption will work by using the private key (n,d). You need to show all the steps for encrypt and decryption. (15 points) You need also to provide the ciphertext obtained. (5 points) Message = CMIS E( Message )= CypherText D (CypherText) = Message c. Question 3 (5 points) Explain clearly and briefly, how RSA can defeat "man in the middle* attack. You can use the following scenario: Imagine a sender S wants to share a secret key K to the receiver R. What exactly the sender S has to send to the receiver R

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