= You see Michael and Nikita agree on a secret key using the Diffie-Hellman key exchange. Michael and Nikita choose p 97 and g = 5. Nikita chooses a random number ʼn and tells Michael that g" = 3 (mod 97), and Michael chooses a random number m and tells Nikita that gm = 7 (mod 97). Use Brute force to crack their code. In other words, What is the secret key that Nikita and Michael agree upon? What is n? What is m?
= You see Michael and Nikita agree on a secret key using the Diffie-Hellman key exchange. Michael and Nikita choose p 97 and g = 5. Nikita chooses a random number ʼn and tells Michael that g" = 3 (mod 97), and Michael chooses a random number m and tells Nikita that gm = 7 (mod 97). Use Brute force to crack their code. In other words, What is the secret key that Nikita and Michael agree upon? What is n? What is m?
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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Transcribed Image Text:You see Michael and Nikita agree on a secret key using the Diffie-Hellman key exchange. Michael and Nikita choose \( p = 97 \) and \( g = 5 \). Nikita chooses a random number \( n \) and tells Michael that \( g^n \equiv 3 \, (\text{mod} \, 97) \), and Michael chooses a random number \( m \) and tells Nikita that \( g^m \equiv 7 \, (\text{mod} \, 97) \). Use brute force to crack their code. In other words, what is the secret key that Nikita and Michael agree upon? What is \( n \)? What is \( m \)?
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