Suppose a password consists of 9 ASCII characters. You can review the ASCII characters here.. There are exactly 2" = 128 ASCII characters; we will assume every character in the password is ASCII (non-printing characters are allowed). What is the size of the keyspace that consists of passwords of this form? What is the equivalent key length in bits? Assuming that you could check one password every 10¬10 seconds, what is the worst case running time for cracking this password by brute force search (in days)? Now assume that the user used only 29 characters from the keyboard. What is the key length in bits in this case? How many days, in the worst case, would it take to break this weaker password? You can't round to the nearest day here -- be as exact as possible. Supposing you used only 29 characters, how long is the shortest password that achieves 177 bits of security?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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In this problem we explore the relationship between password length and cryptographic security.
Suppose a password consists of 9 ASCII characters. You can review the ASCII characters here.. There are exactly
27
= 128 ASCII characters; we will
assume every character in the password is ASCII (non-printing characters are allowed).
What is the size of the keyspace that consists of passwords of this form?
What is the equivalent key length in bits?
Assuming that you could check one password every 10-10 seconds, what is the
worst case running time for cracking this password by brute force search (in days)?
Now assume that the user used only 29
characters from the keyboard. What is the key length in bits in this case?
How many days, in the worst case, would it take to
break this weaker password? You can't round to the nearest day here -- be as exact as possible.
Supposing you used only 29
characters, how long is the shortest password that achieves 177 bits of security?
Transcribed Image Text:In this problem we explore the relationship between password length and cryptographic security. Suppose a password consists of 9 ASCII characters. You can review the ASCII characters here.. There are exactly 27 = 128 ASCII characters; we will assume every character in the password is ASCII (non-printing characters are allowed). What is the size of the keyspace that consists of passwords of this form? What is the equivalent key length in bits? Assuming that you could check one password every 10-10 seconds, what is the worst case running time for cracking this password by brute force search (in days)? Now assume that the user used only 29 characters from the keyboard. What is the key length in bits in this case? How many days, in the worst case, would it take to break this weaker password? You can't round to the nearest day here -- be as exact as possible. Supposing you used only 29 characters, how long is the shortest password that achieves 177 bits of security?
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