Problem 5. (10 pts) Suppose a message has been encrypted using an old system with the basic DES algorithm under key k.

(i) If the receiver of the message is running a new system with 3DES implemented. Can the receiver decrypt the ciphertext by setting k1=k2=k3=k and why?

(ii) If the encryption of 3DES used the EEE mode instead of EDE and the decryption used the DDD mode instead of DED, can the receiver decrypt the ciphertext by setting k1=k2=k3=k and why?