In each question below, provide a brief explanation, a formula and the numerical value for your answer (exact if the answer is an integer, approximate otherwise). There are 94 printable characters on a standard North American keyboard, comprised of the 26 upper case letters A-Z, the 26 lower case letters a-z, the 10 numerical digits 0-9 and the 32 special characters. For our purposes, passwords are strings consisting of printable characters. The length of a password is the number of characters in the password. Suppose we want a password space with entropy 128 bits, assuming that each pass- words is equally likely, i.e. a total of 2^128 passwords (this number is typical for key space sizes of modern cryptosystems). Assuming no restrictions on the characters appearing in passwords ex- cept that they be printable, what is the minimum password length that guarantees a password space with entropy 128?

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter7: User-defined Simple Data Types, Namespaces, And The String Type
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In each question below, provide a brief explanation, a formula and the numerical value for your answer (exact if the answer is an integer, approximate otherwise). There are 94 printable characters on a standard North American keyboard, comprised of the 26 upper case letters A-Z, the 26 lower case letters a-z, the 10 numerical digits 0-9 and the 32 special characters. For our purposes, passwords are strings consisting of printable characters. The length of a password is the number of characters in the password. Suppose we want a password space with entropy 128 bits, assuming that each pass- words is equally likely, i.e. a total of 2^128 passwords (this number is typical for key space sizes of modern cryptosystems). Assuming no restrictions on the characters appearing in passwords ex- cept that they be printable, what is the minimum password length that guarantees a password space with entropy 128?
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