2. Consider a spy. (a) The spy learns that messages m are encrypted to m' using m' = am mod 97 for some a. He discovers that m = 13 is encrypted to m' = 74. What is a? What is the decryption formula? (b) The spy knows that messages m are encrypted to m' using m' = am+b mod 251. He discovers that m₁ = 14 is encrypted to m₁ = 111 and that m2 = 73 is encrypted to m2 = 14. What is a and b? What is the decryption formula? (c) The spy knows that messages m are encrypted to m' using m' m² mod 1189. Without knowing the factorization of 1189, explain how the spy could determine the decryption key d so that m (m')d mod 1189?
2. Consider a spy. (a) The spy learns that messages m are encrypted to m' using m' = am mod 97 for some a. He discovers that m = 13 is encrypted to m' = 74. What is a? What is the decryption formula? (b) The spy knows that messages m are encrypted to m' using m' = am+b mod 251. He discovers that m₁ = 14 is encrypted to m₁ = 111 and that m2 = 73 is encrypted to m2 = 14. What is a and b? What is the decryption formula? (c) The spy knows that messages m are encrypted to m' using m' m² mod 1189. Without knowing the factorization of 1189, explain how the spy could determine the decryption key d so that m (m')d mod 1189?
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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Question
![2. Consider a spy.
(a) The spy learns that messages m are encrypted to m' using m' = am mod 97 for some a. He
discovers that m = 13 is encrypted to m' = 74. What is a? What is the decryption formula?
(b) The spy knows that messages m are encrypted to m' using m' = am + b mod 251. He discovers
that m₁ = 14 is encrypted to m₁ = 111 and that m₂ = 73 is encrypted to m2 = 14. What is a
and b? What is the decryption formula?
(c) The spy knows that messages m are encrypted to m' using m' = m mod 1189. Without
knowing the factorization of 1189, explain how the spy could determine the decryption key d so
that m = (m')d mod 1189?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa58ac5c9-140e-4139-98fa-c0348813084f%2F5a62aa4d-b5e1-409f-b33c-86c5e149978c%2Forjs25q_processed.png&w=3840&q=75)
Transcribed Image Text:2. Consider a spy.
(a) The spy learns that messages m are encrypted to m' using m' = am mod 97 for some a. He
discovers that m = 13 is encrypted to m' = 74. What is a? What is the decryption formula?
(b) The spy knows that messages m are encrypted to m' using m' = am + b mod 251. He discovers
that m₁ = 14 is encrypted to m₁ = 111 and that m₂ = 73 is encrypted to m2 = 14. What is a
and b? What is the decryption formula?
(c) The spy knows that messages m are encrypted to m' using m' = m mod 1189. Without
knowing the factorization of 1189, explain how the spy could determine the decryption key d so
that m = (m')d mod 1189?
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