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(1 point) 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.. Exactly 27 = 128 of these codes are for printable characters; we will assume every character in the password is printable. What is the size of the keyspace that consists of passwords of this form? 128^9 What is the equivalent key length in bits? 63 Assuming that you could check one password every 10-6 seconds, what is the worst case running time for cracking this password by brute force search (in days)? 106751991.167 Now assume that the user used only 26 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 42 weaker password? You can't round to the nearest day here be as exact as possible. 42 -- Supposing you used only 26 characters, how long is the shortest password that achieves 97 bits of security? 21

(1 point) 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.. Exactly 27 = 128 of these codes are for printable characters; we will assume every character in the password is printable. What is the size of the keyspace that consists of passwords of this form? 128^9 What is the equivalent key length in bits? 63 Assuming that you could check one password every 10-6 seconds, what is the worst case running time for cracking this password by brute force search (in days)? 106751991.167 Now assume that the user used only 26 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 42 weaker password? You can't round to the nearest day here be as exact as possible. 42 -- Supposing you used only 26 characters, how long is the shortest password that achieves 97 bits of security? 21

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(1 point) 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.. Exactly 27 = 128 of these codes are for printable characters; we will assume every character in the password is printable. What is the size of the keyspace that consists of passwords of this form? 128^9 What is the equivalent key length in bits? 63 Assuming that you could check one password every 10-6 seconds, what is the worst case running time for cracking this password by brute force search (in days)? 106751991.167 Now assume that the user used only 26 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 42 weaker password? You can't round to the nearest day here be as exact as possible. 42 -- Supposing you used only 26 characters, how long is the shortest password that achieves 97 bits of security? 21
Transcribed Image Text:(1 point) 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.. Exactly 27 = 128 of these codes are for printable characters; we will assume every character in the password is printable. What is the size of the keyspace that consists of passwords of this form? 128^9 What is the equivalent key length in bits? 63 Assuming that you could check one password every 10-6 seconds, what is the worst case running time for cracking this password by brute force search (in days)? 106751991.167 Now assume that the user used only 26 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 42 weaker password? You can't round to the nearest day here be as exact as possible. 42 -- Supposing you used only 26 characters, how long is the shortest password that achieves 97 bits of security? 21
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