1. (a) Use Fermat's Little Theorem to calculate: (i) 23106 (mod 107) (ii) 4" (mod 7) (i) 316 + 512 + 864 + 1312 (mod 17) (iv) the remainder of 21000 divided by 13
1. (a) Use Fermat's Little Theorem to calculate: (i) 23106 (mod 107) (ii) 4" (mod 7) (i) 316 + 512 + 864 + 1312 (mod 17) (iv) the remainder of 21000 divided by 13
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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![1. (a) Use Fermat's Little Theorem to calculate:
(i) 23106 (mod 107)
(ii) 4" (mod 7)
(ii) 316 + 532 + 864 + 1312 (mod 17)
(iv) the remainder of 21000 divided by 13
(b) Messages are to be encoded using the RSA method, and the primes chosen are
p - 11 and q = 19, so that n pq 209. The encryption exponent is e 17.
Thus, the public key is (209, 17).
(i) Show that the decryption exponent d (the private key) is 53.
(ii) Use the repeated squaring algorithm to find the encrypted form e of the
message m = 47.
CS Scanned with CamScanner](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faef099fd-8752-4d9d-96ce-d38c94ab6deb%2F388ef7bd-6de9-4a30-959f-3e394554d785%2Fmimc1e6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. (a) Use Fermat's Little Theorem to calculate:
(i) 23106 (mod 107)
(ii) 4" (mod 7)
(ii) 316 + 532 + 864 + 1312 (mod 17)
(iv) the remainder of 21000 divided by 13
(b) Messages are to be encoded using the RSA method, and the primes chosen are
p - 11 and q = 19, so that n pq 209. The encryption exponent is e 17.
Thus, the public key is (209, 17).
(i) Show that the decryption exponent d (the private key) is 53.
(ii) Use the repeated squaring algorithm to find the encrypted form e of the
message m = 47.
CS Scanned with CamScanner
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