Let's encrypt a message using RSA: Choose p = 7 and q = 11, and then select e=13. a.Compute d b.Select plaintext message x=7. Produce the ciphertext y using the fast exponentiation algorithm. c. Decrypt the ciphertext (y) to verify that the initial plaintext (x) is produced. Again, please use the fast exponentiation algorithm.
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- Encrypt with the public key you created for question 2.a, the message 14 demonstrating all your calculations. (The ciphertext will be a number too) and Provide detailed responses, ensuring thorough explanations and well-justified reasoning for each step you take.question 2a is the photo4. Using the RSA public key cryptosystem, with a = 1, b= 2, ..., y= 25, z = 26. •... a. If p= 5 and q = 13, list five legal values for d. b. If p= 5, q = 31, and d= 37, find e. c. Using p = 3, q = 11, and d=9, find e and encrypt "hello". Solve a, b, c respectively. Solution:DO NOT COPY AND PASTE FROM CHEGG. YOU WILL GET A THUMBS DOWN
- Someone sends you a message of “4”. They also send you a copy of their message encrypted with their private key. The “signed”, or encrypted copy is “49”. Their public key is (exponent 23, clock 55). Show the math you can do to authenticate the message.A.Given p=25, q=9, and e=7, generate the public key (n,e) and the private key (n,d) using the RSA Key generation algorithm. (Use Excel for computations) b. Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=3 to send to Bob. Show the ciphertext. c. Given Bob's public key of (85, 7) and private key of (85, 55), show how Bob can decrypt the ciphertext y=2 received from Alice. Show the plaintext. d. Using the fast exponentiation method, determine 530 mod 47. Show your work.Messages are to be encoded using the RSA method, and the primes chosen are p “ 17 and q “ 19, so that n “ pq “ 323, and e “ 19. Thus, the public key is p323, 19q. (a) Show that the decryption exponent d (your private key) is 91.
- To decode a message encrypted using DES requires finding the key from among the 256 possible 56-bit binary keys. Although you might find the key early on, the worst case is that you have to test all 256 possible DES keys. a. How long would this take using the gaming PC described in the Special Interest Box “The Tortoise and the Hare” in Chapter 3? Assume that a single key can be tested in one floating-point operation. b. How long would this take using the Chinese Sunway TaihuLight supercomputer described in the Special Interest Box “The Tortoise and the Hare” in Chapter 3? Assume that a single key can be tested in one floating-point operation.Solve with explanation please I already have the answer but can't understand so, please explain each step if possible thx8. Also, in the Caesar cipher you could not encrypt two different letters to be the same letter (meaning if “p" → "S" then nothing else can go to “S"). Is this true of the Vigen'ere cipher too?
- 21. RSA problem: given plaintext P, e, prime numbers p, q, compute ciphertext C. Decrypt C and verify you get plaintext P back.Encrypt the first 4 letters of your last name as a block of data to be encrypted. (Let A=1, B=2, C=3,...Z=26). Decrypt the encrypted number to demonstrate that your system works. lastname is johnA.Given p=25, q=9, and e=7, generate the public key (n,e) and the private key (n,d) using the RSA Key generation algorithm. (Use Excel for computations) b. Given Bob's public key of (85, 7) and private key of (85, 55), show how Alice can encrypt m=3 to send to Bob. Show the ciphertext. c. Given Bob's public key of (85, 7) and private key of (85, 55), show how Bob can decrypt the ciphertext y=2 received from Alice. Show the plaintext. d. Using the fast exponentiation method, determine 530 mod 47. Show your work.