PLEASE FILL OUT THE CHART GIVEN BELOW Man-in-the-middle attack when Alice and Bob employ Diffie-Hellman key exchange. Alice Carol (Intruder) Bob p=17 and α= 4 are known to all Choose k pri,A =a = 7...

Alice

Carol (Intruder)

Bob

p=17 and α= 4 are known to all

Choose
k
pri,A

=a = 7

Choose
k
pri,B

=b = 8

Alice’s public key:
k
pub,A

= A=

α

^a

mod p =

Bob’s public key:
k
pub,B

= B=
α

^b

 mod

p =

Send A to Bob; intercepted by Carol

Send B to Alice; intercepted by Carol

Carol chooses c=6; computes

A’ = B’ =α

^c


mod p

Carol sends A’ to Bob as if it is A from Alice

Carol sends B’ to Alice as if it is from Bob

Alice derives the shared secret key as K1=
B’

^a


mod p

Carol derives K1=
A

^c


mod

p, K2=

B

^c


mod p,

Bob derives the shared secret key as K2=
A’

^b


mod p

Session 1 established with key K1: verify that Alice and Carol have derived the same key K1

Session 2 established with key K2; verify that Carol and Bob have derived the same key K2