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Question: In this problem, we will compare digital signature (DS) generated using the sender's privatewith message authentication code (MAC) generated based on symmetric encryption.
Assume that Oscar can observe all messages sent from Alice to Bob and vice versa. Oscar has no knowledge of any of the keys except for Alice's public key, which is known to everyone. Both Alice and Bob know the key used in symmetric encryption. Only Alice knows Alice's private key.
Explain, for each part, whether (i) DS and (ii) MAC are effective. The value auth(x) refers to the authentication code computed with either (i) or (ii).
Alice sends a message x = "Transfer $1000 to Mark" and auth(x) to Bob. Oscar intercepts the message and replaces "Mark" with "Oscar." Will Bob detect this? Answer separately for (i) and (ii) above.
Oscar claims that he sent a message x along with auth(x) to Bob but Alice claims the same. Can Bob clear the question? Answer for (i) and (ii) separately.
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