(a)Can Eve break the system without finding the secret numbers x or y? (b)Can Eve find the secret numbers x and y?

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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The following is the Diffie-Hellman protocol,
Alice
Bob
a" (mod p)
y
a' (mod p)
K=a" (mod p)
K= 0" (mod p)
Alice and Bob decide to make a small change to the protocol:
instead of sending a (mod p) and a' (mod p), they send each other
xa (mod p) and ya (mod p).
Alice
Bob
x"(mod p)
y (mod p)
K= (xy)" (mod p)
K= (y) (mod p)
Then Alice and Bob use K = (xy)" (mod p) as the shared common
key.
(a)Can Eve break the system without finding the secret numbers x
or y?
(b)Can Eve find the secret numbers x and y?
Transcribed Image Text:The following is the Diffie-Hellman protocol, Alice Bob a" (mod p) y a' (mod p) K=a" (mod p) K= 0" (mod p) Alice and Bob decide to make a small change to the protocol: instead of sending a (mod p) and a' (mod p), they send each other xa (mod p) and ya (mod p). Alice Bob x"(mod p) y (mod p) K= (xy)" (mod p) K= (y) (mod p) Then Alice and Bob use K = (xy)" (mod p) as the shared common key. (a)Can Eve break the system without finding the secret numbers x or y? (b)Can Eve find the secret numbers x and y?
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