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Exercise 4. Let p= 47, q = 59 and e= 17. (i) Use the Euclidean algorithm to calculate ge

Exercise 4. Let p= 47, q = 59 and e= 17. (i) Use the Euclidean algorithm to calculate ge

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 4. Let p 47, q 59 and e= 17. (i) Use the Euclidean algorithm to calculate ged(p- 1)(4 - 1), e). (ii) Encrypt the message MOCK using the RSA system with key (p q,e), translating each letter into integers (A = 00, B = 01,...Z = 25) and grouping together pairs of integers. (iii) Use Bézout's Theorem to find d with d e = ged((p- 1)(g - 1), e) mod (p- 1)(g- 1). (iv) What is the original message encrypted using the RSA system with key (p 4,e) if the encrypted message is 0893 0012? (We have again grouped pairs of integers as in (ii).)
Transcribed Image Text:Exercise 4. Let p 47, q 59 and e= 17. (i) Use the Euclidean algorithm to calculate ged(p- 1)(4 - 1), e). (ii) Encrypt the message MOCK using the RSA system with key (p q,e), translating each letter into integers (A = 00, B = 01,...Z = 25) and grouping together pairs of integers. (iii) Use Bézout's Theorem to find d with d e = ged((p- 1)(g - 1), e) mod (p- 1)(g- 1). (iv) What is the original message encrypted using the RSA system with key (p 4,e) if the encrypted message is 0893 0012? (We have again grouped pairs of integers as in (ii).)
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