Principles of Information Security (MindTap Course List)
Principles of Information Security (MindTap Course List)
6th Edition
ISBN: 9781337102063
Author: Michael E. Whitman, Herbert J. Mattord
Publisher: Cengage Learning
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Chapter 8, Problem 4RQ
Program Plan Intro

Cryptography:

Cryptography is a technique to encrypt and decrypt the data using keys. The user can send or receive data across insecure networks using the cryptography. This system may use same or different keys for sender and receiver.

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We are considering the RSA encryption scheme. The involved numbers are small, so the communication is insecure.  Alice's public key (n,public_key) is (247,7). A code breaker manages to factories  247 = 13 x 19  Determine Alice's secret key. To solve the problem, you need not use the extended Euclid algorithm, but you may assume that her private key is one of the following numbers 31,35,55,59,77,89.
Consider the following Turing Machine (TM). Does the TM halt if it begins on the empty tape? If it halts, after how many steps? Does the TM halt if it begins on a tape that contains a single letter A followed by blanks? Justify your answer.
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