Question: Problem 4 (RSA) /20 marks/ Let us consider an RSA Public Key Crypto System. Alice selects 2 prime numbers: p- 5 and q -11. Alice

Problem 4 (RSA) /20 marks/ Let us consider an RSA Public

Problem 4 (RSA) /20 marks/ Let us consider an RSA Public Key Crypto System. Alice selects 2 prime numbers: p- 5 and q -11. Alice selects her public exponent e -3 and sends it to Bob. Bob wants to send the message M 4 to Alice. I. Compute the product n p q and (n) 2. Is this choice for of e valid here? 3. Compute d , the private exponent of Alice. 4. Encrvpt the plain-text M using Alice public exponent. What is the resulting cipher-text C? 5. Verify that Alice can obtain M from C, using her private decrvption exponent

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