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Problem 2: Alice's RSA public key is P = (e,n) = (23,55). Bob sends Alice the message by encoding it as follows. First he assigns
Problem 2: Alice's RSA public key is P = (e,n) = (23,55). Bob sends Alice the message by encoding it as follows. First he assigns numbers to characters: A is 2, B is 3, ..., Z is 27, and blank is 28. Then he uses RSA to encode each number separately. Bob's encoded message is: 19 7 10 8 17 8 51 14 10 26 21 26 20 7 15 21 21 26 11 51 20 51 25 33 7 8 20 39 7 7 7 8 33 7 7 20 7 25 21 52 26 51 15 8 21 52 25 8 25 7 26 7 14 25 21 8 26 15 14 25 21 9 21 10 27 21 51 7 7 9 7 11 51 7 7 21 51 21 12 14 7 9 27 14 20 33 7 8 21 10 18 51 26 25 17 15 14 26 25 Decode Bob's message. Notice that you don't have Bob's secrete key, so you need to "break RSA to decrypt his message. For the solution, you need to provide the following: (a) Describe step by step how you arrived at the solution: find p and q, o(n) and d. (b) Show your work (the computation) for the first three numbers in the message. . (c) Give the decoded message. (d) Give Bob's message in plaintext (also, what does it mean and who said it). (e) Show (attach) your code for the remaining numbers. The code must be written in C++. . Problem 2: Alice's RSA public key is P = (e,n) = (23,55). Bob sends Alice the message by encoding it as follows. First he assigns numbers to characters: A is 2, B is 3, ..., Z is 27, and blank is 28. Then he uses RSA to encode each number separately. Bob's encoded message is: 19 7 10 8 17 8 51 14 10 26 21 26 20 7 15 21 21 26 11 51 20 51 25 33 7 8 20 39 7 7 7 8 33 7 7 20 7 25 21 52 26 51 15 8 21 52 25 8 25 7 26 7 14 25 21 8 26 15 14 25 21 9 21 10 27 21 51 7 7 9 7 11 51 7 7 21 51 21 12 14 7 9 27 14 20 33 7 8 21 10 18 51 26 25 17 15 14 26 25 Decode Bob's message. Notice that you don't have Bob's secrete key, so you need to "break RSA to decrypt his message. For the solution, you need to provide the following: (a) Describe step by step how you arrived at the solution: find p and q, o(n) and d. (b) Show your work (the computation) for the first three numbers in the message. . (c) Give the decoded message. (d) Give Bob's message in plaintext (also, what does it mean and who said it). (e) Show (attach) your code for the remaining numbers. The code must be written in C++
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