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Messages are to be encoded using the RSA method, and the primes chosen are p =13 and q = 23, so that n pq = 299. The encryption exponent is e = 13. Thus, the public key is (299, 13.)   (a)  Use the repeated squaring algorithm to find the encrypted form c of the message m = 84.    (b)  Show that the decryption exponent d (the private key) is 61.    (c)  Verify that you obtain the original message after decryption. Use the repeated squaring algorithm.

Messages are to be encoded using the RSA method, and the primes chosen are p =13 and q = 23, so that n pq = 299. The encryption exponent is e = 13. Thus, the public key is (299, 13.)   (a)  Use the repeated squaring algorithm to find the encrypted form c of the message m = 84.    (b)  Show that the decryption exponent d (the private key) is 61.    (c)  Verify that you obtain the original message after decryption. Use the repeated squaring algorithm.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Messages are to be encoded using the RSA method, and the primes chosen are p =13 and q = 23, so that n pq = 299. The encryption exponent is e = 13. Thus, the public key is (299, 13.)

  (a)  Use the repeated squaring algorithm to find the encrypted form c of the message m = 84. 

  (b)  Show that the decryption exponent d (the private key) is 61. 

  (c)  Verify that you obtain the original message after decryption. Use the repeated squaring algorithm.

 

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