Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Q1 b part Please provide detailed solution with explanation and justification asap to get a upvote for b part sections
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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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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