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Based on Asymmetric-key cryptography of RSA Algorithm, Mubarak generates his RSA keys by selecting two prime numbers:p = 3 and q = 11. Afterwards, Mubarak

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Based on Asymmetric-key cryptography of RSA Algorithm, Mubarak generates his RSA keys by selecting two prime numbers:p = 3 and q = 11. Afterwards, Mubarak computes the modulus for encryption and decryption: n =pxq=33, and =20. According to this, Mubarak chooses 7 for e and calculated d to be 3. Based on the above, answer the following two questions: a. What is the constructed private key and the public key of the above problem? (5 pts) b. Assuming Zainab knows e and n and he wants to send a message: "M = 5" to Mubarak. Explain how Zainab encrypt the message and what key Zainab is using and how the message is decrypted by Mubarak and what key Mubarak is using? (9 pts)

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