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Encrypt the message ATTACK using the RSA system with n = 43 ¡¤ 59 and e = 13.
What is the original message encrypted using the RSA system with n = 53 ¡¤ 61 and e = 17 if the encrypted message is 3185 2038 2460 2550?
Describe the steps that Alice and Bob follow when they use the Diffie-Hellman key exchange protocol to generate a shared key. Assume that they use the prime p = 101 and take a = 2, which is a primitive root of 101, and that Alice selects k1 =7andBobselectsk2 =9.
Alice wants to send a message M to Bob. She wants that the message can only be read by Bob. On the other hand, Bob needs to be confirmed that the message was sent by Alice. Explain how a public key digital signature scheme works between Alice and Bob.

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