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5. Based on Asymmetric-key cryptography of the RSA Algorithm, Abdullah generates his RSA keys by selecting two prime numbers: p = 7 and q =

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5. Based on Asymmetric-key cryptography of the RSA Algorithm, Abdullah generates his RSA keys by selecting two prime numbers: p = 7 and q = 11. Afterwards, Abdullah computes the modulus for encryption and decryption: n = p * q =77, and =60. According to this, Abdullah chooses 13 for e and calculated d to be 37. (Total 20 points) Based on the above, answer the following two questions: a. What are the constructed private key and the public key of the above problem? (8 points) b. Assuming Jaafar knows e and n and he wants to send a message = 2 to Abdullah. Explain how Jaafar encrypts the message and what key Jaafar is using and how the message is decrypted by Abdullah, and what key Abdullah is using? Explain send/receive message by using figures (12 points)

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