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Lets modify the protocol from the previous problem so that Bob sends both a challenge, and a challenge encrypted with a key that only he

Lets modify the protocol from the previous problem so that Bob sends both a challenge, and a challenge encrypted with a key that only he knows, to Alice:

Is this protocol secure?

In the discussion of Protocol 9-3 on page 225, Bob remembers all the timestamps hes seen within the last 10 minutes. Why is it sufficient for him to remember only 10 minutes worth of timestamps?

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