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primes and e and d are the public key and the private key, respectively, p =13, q = 29, e
=17. What is the value of phi(n) where phi(n) is the Euler Totient function of n and n is
the modulus of RSA cipher?
Q7(1 point). Using the same notations as in the lecture, e.g., p and q are the two
primes and e and d are the public key and the private key, respectively, p = 3, q = 31, e
11. Using the phi(n) that you found in question 6 and the Extended Euclidean
algorithm yields d = 55. What is the ciphertext C when encrypting M = 13?
Q8(1 point). Using the same notations as in the lecture, e.g., p and q are the two
primes and e and d are the public key and the private key, respectively, p = 5, q = 17
and e = 7. The attacker performs a chosen-ciphertext attack (CCA). It has a known
ciphertext 23 and wants to retrieve the corresponding plaintext. It computes c' = c*r^e
mod n and chooses the ciphertext 23*128 mod 85 = 54 and retrieves the corresponding
plaintext 79. What is the plaintext corresponding to the ciphertext 23?
Q9(1 point). Alice and Bob use Diffie-Hellman Key Exchange to share a key with a
common prime p = 23 and a primitive root a=5. If Alice has a public key Y_A=20, what is
her private key X_A?
Q10(1 point). There are 11 computers (hardware). Each computer hosts 3 virtual
machines (VM) with different addresses, and each VM hosts 6 applications. How many
key exchange sessions (in one session, two logical parties share a key) are needed if
the decentralized key distribution is used so that all VM's share a pair-wise keys?
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