Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 31.7, Problem 1E
Program Plan Intro
To determine value of
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Chapter 31 Solutions
Introduction to Algorithms
Ch. 31.1 - Prob. 1ECh. 31.1 - Prob. 2ECh. 31.1 - Prob. 3ECh. 31.1 - Prob. 4ECh. 31.1 - Prob. 5ECh. 31.1 - Prob. 6ECh. 31.1 - Prob. 7ECh. 31.1 - Prob. 8ECh. 31.1 - Prob. 9ECh. 31.1 - Prob. 10E
Ch. 31.1 - Prob. 11ECh. 31.1 - Prob. 12ECh. 31.1 - Prob. 13ECh. 31.2 - Prob. 1ECh. 31.2 - Prob. 2ECh. 31.2 - Prob. 3ECh. 31.2 - Prob. 4ECh. 31.2 - Prob. 5ECh. 31.2 - Prob. 6ECh. 31.2 - Prob. 7ECh. 31.2 - Prob. 8ECh. 31.2 - Prob. 9ECh. 31.3 - Prob. 1ECh. 31.3 - Prob. 2ECh. 31.3 - Prob. 3ECh. 31.3 - Prob. 4ECh. 31.3 - Prob. 5ECh. 31.4 - Prob. 1ECh. 31.4 - Prob. 2ECh. 31.4 - Prob. 3ECh. 31.4 - Prob. 4ECh. 31.5 - Prob. 1ECh. 31.5 - Prob. 2ECh. 31.5 - Prob. 3ECh. 31.5 - Prob. 4ECh. 31.6 - Prob. 1ECh. 31.6 - Prob. 2ECh. 31.6 - Prob. 3ECh. 31.7 - Prob. 1ECh. 31.7 - Prob. 2ECh. 31.7 - Prob. 3ECh. 31.8 - Prob. 1ECh. 31.8 - Prob. 2ECh. 31.8 - Prob. 3ECh. 31.9 - Prob. 1ECh. 31.9 - Prob. 2ECh. 31.9 - Prob. 3ECh. 31.9 - Prob. 4ECh. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4P
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- In a public key, cryptosystem using RSA algorithm, user uses two prime numbers 5 and 7. He chooses 11 as Encryption key, find out decryption key. What will be the cipher text, if the plaintext is 2? Decrypt the cipher text, what will be the value of plain text?arrow_forwardThe following parameters are chosen to generate the public and private keys for the RSA cryptosystem.p = 17q = 13e = 41d = 89What is the public key?arrow_forwardIn an affine cipher, if k = (a, b) = (3, 7), then what is the encryption of x=9. Answer by typing just the resulting number in the box.arrow_forward
- In the RSA system described in the notes, take p = 101, q = 103, and k = 1249. Determine the public key (a,n). a= n=arrow_forwardSet up an RSA public-key cryptosystem using primes p=91, q= 13 and a public exponent of 29 by finding the appropriate (positive) private exponent using the extended euclidean algorithm given the table below and identities: and 4(a) +;(b)=r; What is the numerical value for n? What is the numerical value for a? What is the numerical value for b? What is the numerical value for 2? What is the numedcal valkie for g3? What is the numerical value for 63? What is the numerical value for w?arrow_forwardUse the two prime numbers p 5 and q =13 in the first step to give ONE integrated example to show how the five steps in the basic process of RSA Cryptography works. Based on your example, demonstrate how the number 60 as an original message is encrypted into ciphertext and decrypted back correctly to the original message. If you need to choose a number in any step, you must choose it from the set {r e R: 8 Sx< 12}. You must show all detailed steps involved.arrow_forward
- The mathematical formalization of encryption and decryption. If the message space is {a, b, c, d, e} and the ciphertext space is {1,2, 3,4,5}.What is the size of the key space? Write a number.arrow_forwardRSA encryption uses a famous formula for encryption/decryption. Given that N= 12345 , decryption key d = 1961, cipher in numeric form =170826 . what is the decrypted number ?arrow_forwardIn RSA encryption, if the public key is 299, what is the private key? (Enter your answers as a comma-separated list.)arrow_forward
- Let's say you generated RSA keys and you chose p=53, q=41, and the smallest encryption exponent that qualifies for this p and q. (You will have to follow the key generation algorithm to fill in the details.) If someone gives you 343 as the ciphertext they created using your public key, what is the plaintext you get when you use your private key to decrypt? Also note that you can test your answer by encrypting it and making sure you get 343 back.arrow_forwardA government organization decides that in order to protect the communications it has with its international partners, encryption is necessary. In a discussion with its equivalents, it is decided to develop a proprietary cryptographic algorithm for the following reasons: Is this decision supported by any evidence. What dangers are being exposed?arrow_forwardCryptography: Alice and Bob are going to establish a secure session key utilizing Diffie-Hellman key exchange. The agreed upon public prime is, 10477, Alice’s secret is 997, Bob’s secret is 1137. The public base is 31. What is their session key?arrow_forward
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