Cryptography problem mathematics Suppose Alice and Bob are using a cryptosystem with a 128-bit key, so there are 2128 possible keys. Eve is trying a brute-force attack on the system. (a) Suppose it takes 1 day for Eve to try 264 possible keys. At this rate, how long will it take for Eve to try all 2128 keys?  (b) Suppose Alice waits 10 years and then buys a computer that is 100 times faster than the one she now owns. Will she finish trying all 2128 keys before or after what she does in part (a)?

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