In this problem we explore the relationship between password length and cryptographic security Suppose a password consists of 10 ASCH characters. You can review the ASCH characters here. Exactly 2- 128 of these codes are for printable characters we will assumetvery character in the password is printable What is the size of the keyspace that consists of passwords of this form? 4 What is the equivalent kay length in bits? 2107 Assuming that you could check one password every 10 seconds. what is the worst case running time for cracking this pasword by brute force search n days? 2.23875 Now assume that the user used only 29 characters from the keyboard. What is the key length in bits in this case? 60 How many days, in the worst cane, would it take to break this weaker password? You can't round to the nearest day here-be as eact as possible 1334,399.8890 Supposing you used only 29 characters, how long is the shortest password that achieves 254 bits of security? 43

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 pasword consists of 10 ASCI characters. You can review the ASCIl characters here. Exactly 2- 128 of these
codes are for printable characters; we will assumevery character in the password is printable
What is the size of the keyspace that consists of passwords of this form? 84
What is the equivalent kay length in bits? 28410-7
Assuming that you could check one password every
10 seconds, what is the worst case running time for cracking this paseword by brute force search (in days?
2.23875
Now assume that the user used only 29 characters from the keyboard. What is the key length in
bits in this case? 60
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. 1.334,399.8805
Supposing you
used only 29 characters, how long is the shortest password that achieves 254 bits of security? 43
atternpR
Transcribed Image Text:In this problem we explore the relationship between password length and cryptographic security. Suppose a pasword consists of 10 ASCI characters. You can review the ASCIl characters here. Exactly 2- 128 of these codes are for printable characters; we will assumevery character in the password is printable What is the size of the keyspace that consists of passwords of this form? 84 What is the equivalent kay length in bits? 28410-7 Assuming that you could check one password every 10 seconds, what is the worst case running time for cracking this paseword by brute force search (in days? 2.23875 Now assume that the user used only 29 characters from the keyboard. What is the key length in bits in this case? 60 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. 1.334,399.8805 Supposing you used only 29 characters, how long is the shortest password that achieves 254 bits of security? 43 atternpR
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