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1. Suppose that Alice's RSA public key is (N, e) = (33,3) and her private key is d= 7. a) If Bob encrypts the message

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1. Suppose that Alice's RSA public key is (N, e) = (33,3) and her private key is d= 7. a) If Bob encrypts the message M= 19 using Alice's public key, what is the ciphertext CI Show that Alice can decrypt C to obtain M. b) Let S be the result when Alice digitally signs the message M = 25. What is 5? If Bob receives M and S, explain the process Bob will use to verify the signature and show that in this particular case, the signature verification succeeds

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