El Gamal Encryption Problem: Alice wants to let Bob know the number of widgets being shipped out by their company. This number is confidential so she must encrypt it before she sends it to Bob. They decide to use the Diffie-Hellman Key Exchange Protocol. They use the public base a=2 and modulus N=59. Bob chooses the number s=3 and computes his cryptography key Kg. Bob sends his cryptography key Ka to Alice

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question 7
El Gamal Encryption Problem:
Alice wants to let Bob know the number of widgets being shipped out by their company, This
number is confidential so she must encrypt it before she sends it to Bob. They decide to use the
Diffie-Hellman Key Exchange Protocol.
They use the public base a=2 and modulus N=59.
Bob chooses the number s-3 and computes his cryptography key Kg Bob sends his cryptography
key Kg to Alice.
Alice chooses the number r=4 and computes her cryptography key KA Alice sends her cryptography
key KA to Bob.
Alice encrypts her integer message and then sends Bob the encrypted message which contains the
following "28". How many widgets will be shipped?
Your answers should be an integer without the mod since mod is implied. Show all of your work in
your written submission.
Transcribed Image Text:Question 7 El Gamal Encryption Problem: Alice wants to let Bob know the number of widgets being shipped out by their company, This number is confidential so she must encrypt it before she sends it to Bob. They decide to use the Diffie-Hellman Key Exchange Protocol. They use the public base a=2 and modulus N=59. Bob chooses the number s-3 and computes his cryptography key Kg Bob sends his cryptography key Kg to Alice. Alice chooses the number r=4 and computes her cryptography key KA Alice sends her cryptography key KA to Bob. Alice encrypts her integer message and then sends Bob the encrypted message which contains the following "28". How many widgets will be shipped? Your answers should be an integer without the mod since mod is implied. Show all of your work in your written submission.
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