In this problem we explore the relationship between password length and cryptographic security. Suppose a password consists of 1212 ASCII characters. You can review the ASCII characters here.. There are exactly 27=12827=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 10−710−7 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 2828 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 2828 characters, how long is the shortest password that achieves 249249 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
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In this problem we explore the relationship between password length and cryptographic security.

Suppose a password consists of 1212 ASCII characters. You can review the ASCII characters here.. There are exactly 27=12827=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 10−710−7 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 2828 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 2828 characters, how long is the shortest password that achieves 249249 bits of security? ___

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