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Part 1: 1. Calculate the RSA public and private keys for the following values: (All steps of the working should be shown) (2 marks) 9

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Part 1: 1. Calculate the RSA public and private keys for the following values: (All steps of the working should be shown) (2 marks) 9 le 59 251 2. Consider an RSA Public Key Cryptosystem: 1) marks) 2. Fatima selects two prime numbers:p=13. ?. Compute n, and O(n? (1 mark) 1. Alice selects her public exponent e = 5, is this choice for "e" valid? Why? (2 marks) c. Let's d=29, what is Fatima public and private keys? (2 marks) 4. Now you want to send message M-4 to Fatima. Encrypt your plaintext M. What is the resulting cipher text C? (2 murks) Now Fatima receives C, verify that Fatima can decrypt the message Chack to M (2 marks) Part 2: Develop a program using Python (or others) to encrypt a prey-scale image. Try to show the encrypted image (the cipher) as a distorted image. (4 marks) Instructions to Student: STARS MEU MIDDLE EAST UNIVERSITY Mense wat Work press must be the student was where alle som har published or published including the work of a fellow student and failewackwing the mumewher's workoute quotes the mother. Plagiarism is an academe otime OR ANY OTHER INSTRUCTIONS The course learning outcomes addressed by this assignment 2. Examine the basic concepts of cryptography using various encryption techniques 3. Demonstrate knowledge of modern symmetric cryptography and its related standards. 4. Explore public-key cryptography and its related algorithms and protocols 5. Apply Cryptosystems to various domains including wired wireless networks email, web security, and blockchain

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