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Problem 4. For the RSA cryptosystem pick two prims p 29 and q 53 so N = pq = 1537. (1) Calculate o(N) and show that k = 47 is co-prime to o(N). (2) Assuming your public key is (N, k) = (1537, 47) calculate the recovery exponent j = k (mod o(N)). (3) Suppose someone sent you the encrypted message 570. Use the recovery exponent j to figure out the original message.

Problem 4. For the RSA cryptosystem pick two prims p 29 and q 53 so N = pq = 1537. (1) Calculate o(N) and show that k = 47 is co-prime to o(N). (2) Assuming your public key is (N, k) = (1537, 47) calculate the recovery exponent j = k (mod o(N)). (3) Suppose someone sent you the encrypted message 570. Use the recovery exponent j to figure out the original message.

Database System Concepts
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
Chapter1: Introduction
Section: Chapter Questions
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Problem 4. For the RSA cryptosystem pick two prims p = 29 and q 53 so N = pq = 1537. (1) Calculate o(N) and show that k = 47 is co-prime to o(N). (2) Assuming your public key is (N, k) = (1537, 47) calculate the recovery exponent j = k (mod (N)). (3) Suppose someone sent you the encrypted message 570. Use the recovery exponent j to figure out the original message.
Transcribed Image Text:Problem 4. For the RSA cryptosystem pick two prims p = 29 and q 53 so N = pq = 1537. (1) Calculate o(N) and show that k = 47 is co-prime to o(N). (2) Assuming your public key is (N, k) = (1537, 47) calculate the recovery exponent j = k (mod (N)). (3) Suppose someone sent you the encrypted message 570. Use the recovery exponent j to figure out the original message.
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