A file is protected by a random password consisting of n binary bits. All password combinations are equally probable. To access the file we need the correct password. The process of applying the password to the file takes 20ms regardless of the value of n. Brute force attack is always a viable basic strategy for guessing a password. To ensure that the file remains sufficiently secure, we need to ensure that there is no more than a 2% chance over 30 days that the password is guessed by a hacker program utilizing brute force working 24 hours a day, 7 days a week. How many bits should be specified for the password?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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A file is protected by a random password consisting of n binary bits. All
password combinations are equally probable. To access the file we need the
correct password. The process of applying the password to the file takes
20ms regardless of the value of n. Brute force attack is always a viable basic
strategy for guessing a password.
To ensure that the file remains sufficiently secure, we need to ensure that
there is no more than a 2% chance over 30 days that the password is
guessed by a hacker program utilizing brute force working 24 hours a day, 7
days a week. How many bits should be specified for the password?
Transcribed Image Text:A file is protected by a random password consisting of n binary bits. All password combinations are equally probable. To access the file we need the correct password. The process of applying the password to the file takes 20ms regardless of the value of n. Brute force attack is always a viable basic strategy for guessing a password. To ensure that the file remains sufficiently secure, we need to ensure that there is no more than a 2% chance over 30 days that the password is guessed by a hacker program utilizing brute force working 24 hours a day, 7 days a week. How many bits should be specified for the password?
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