Man-in-the-middle attack when Alice and Bob employ Diffie-Hellman key exchange. Here, Carol is the intruder. Compute and complete the unknown entries in the exchanges shown below.  Alice Carol (Intruder) Bob p=23 and α= 5 are known to all Choose kpri,A =a = 7   Choose kpri,B =b = 13 Alice’s public key: kpub,A = A= αa mod p = ??   Bob’s public key: kpub,B = B=αb mod p = ?? Alice sends A to Bob; intercepted by Carol     Bob sends B to Alice; intercepted by Carol   Carol chooses c=5; computes A’ = B’ =αc 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= Ac mod p =  ??, and K2= Bc 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

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 Man-in-the-middle attack when Alice and Bob employ Diffie-Hellman key exchange. Here, Carol is the intruder. Compute and complete the unknown entries in the exchanges shown below. 

Alice

Carol (Intruder)

Bob

p=23 and α= 5 are known to all

Choose kpri,A =a = 7

 

Choose kpri,B =b = 13

Alice’s public key: kpub,A = A= αa mod p = ??

 

Bob’s public key: kpub,B = B=αb mod p = ??

Alice sends A to Bob; intercepted by Carol

 

 

Bob sends B to Alice; intercepted by Carol

 

Carol chooses c=5; computes A’ = B’ =αc 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= Ac mod p =  ??,

and K2= Bc 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

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