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Assume that Malice mounts the Man-in-the-Middle (MITM) attack on
Diffie-Hellman key exchange protocol as illustrated in Fig. 1.
Let YA = 944
mod p, and YB = 942 mod p be Diffie-Hellman public
keys of Alice and Bob, respectively. Private keys XA, XB and XM
remain known only to the respective owners Alice, Bob and Malice.
Suppose that Malice wants to establish a single Diffie- Hellman key,
KABM = g A4BAM mod p, that he, Alice and Bob all share. Does the
attack illustrated in Figure 1 accomplish this? Justify your answer
(Be precise; vague answer will not be accepted).
Alice
YA
Malice
g*4XM mod p
Bob
*8*M mod p
YB
Fig. 1:
The MITM attack against Diffie-Hellman protocol executed
between Alice and Bob

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