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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)
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
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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