An old encryption system uses 20-bit keys. A cryptanalyst, who wants to brute-force attack the encryption system, is working on a computer system with a performance rate N keys per second. a- How many possible keys will be available in the above encryption system? b- What will be the maximum number of keys per second (N) that the computer system is working with, if the amount of time needed to brute-force all the possible keys was 512 milli seconds? Show you detailed calculations.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.11: The M/g/s/gd/s/∞ System (blocked Customers Cleared)
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An old encryption system uses 20-bit keys. A cryptanalyst, who wants to brute-force attack the encryption system, is working on a computer system with a performance rate N keys per second.

a- How many possible keys will be available in the above encryption system?

b- What will be the maximum number of keys per second (N) that the computer system is working with, if the amount of time needed to brute-force all the possible keys was 512 milli seconds? Show you detailed calculations.

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