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 key is (299, 13). 13. Thus, the public (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.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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.
Transcribed Image Text: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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