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A. Show the intermediate quantities that both Alice and Bob calculate, as well as the final (shared) secret that Diffie-Hellman produces. B. Unknown to Alice and Bob, Eve is listening and is able to intercept their messages as well as inject her own messages. Suppose Eve chooses an exponent Xe = 7 Explain how Eve can use Xe ​to perform the Intruder-in-the-Middle attack on the Alice-Bob Diffie-Hellman key exchange

A. Show the intermediate quantities that both Alice and Bob calculate, as well as the final (shared) secret that Diffie-Hellman produces. B. Unknown to Alice and Bob, Eve is listening and is able to intercept their messages as well as inject her own messages. Suppose Eve chooses an exponent Xe = 7 Explain how Eve can use Xe ​to perform the Intruder-in-the-Middle attack on the Alice-Bob Diffie-Hellman key exchange

Computer Networking: A Top-Down Approach (7th Edition)
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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A. Show the intermediate quantities that both Alice and Bob calculate, as well as the final (shared) secret that Diffie-Hellman produces.

B. Unknown to Alice and Bob, Eve is listening and is able to intercept their messages as well as inject her own messages. Suppose Eve chooses an exponent Xe = 7 Explain how Eve can use Xe ​to perform the Intruder-in-the-Middle attack on the Alice-Bob Diffie-Hellman key exchange 

In order to utilise the Diffie-Hellman key exchange, a user chooses a private X, computes a public Y, and after exchanging Y, calculates K where for user A: Y₁ = ax mod q mod q K₁=YX q is a prime number, X₂ <q, and a is a primitive root of q Suppose Alice and Bob wish to do Diffie-Hellman key exchange. Alice and Bob have agreed upon a prime q = 13, and a generator a = 2. Alice has chosen her private exponent to be X = 5, while Bob has chosen his private exponent to be X₁ = 4.
Transcribed Image Text:In order to utilise the Diffie-Hellman key exchange, a user chooses a private X, computes a public Y, and after exchanging Y, calculates K where for user A: Y₁ = ax mod q mod q K₁=YX q is a prime number, X₂ <q, and a is a primitive root of q Suppose Alice and Bob wish to do Diffie-Hellman key exchange. Alice and Bob have agreed upon a prime q = 13, and a generator a = 2. Alice has chosen her private exponent to be X = 5, while Bob has chosen his private exponent to be X₁ = 4.
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