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Explain how prime numbers are important by evaluating an example based on the RSA algorithm. A. Generate a public/private key pair by (i) First, choosing the two primes, p and q, so that • p = 17, and q is the single digit prime that is closest to the last digit of your national identity number. Second, choosing the value of e to be greater than 5. Third, find the multiplicative inverse d of e showing all the steps and calculations. B. Encrypt a message M = 8, then decrypt the ciphertext to retrieve the original message. Note: You will use the MATLAB code named 'RSA_Spring2023' to finish this task. (iii)

Explain how prime numbers are important by evaluating an example based on the RSA algorithm. A. Generate a public/private key pair by (i) First, choosing the two primes, p and q, so that • p = 17, and q is the single digit prime that is closest to the last digit of your national identity number. Second, choosing the value of e to be greater than 5. Third, find the multiplicative inverse d of e showing all the steps and calculations. B. Encrypt a message M = 8, then decrypt the ciphertext to retrieve the original message. Note: You will use the MATLAB code named 'RSA_Spring2023' to finish this task. (iii)

Computer Networking: A Top-Down Approach (7th Edition)
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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Task 1: Explain how prime numbers are important by evaluating an example based on the RSA algorithm. A. Generate a public/private key pair by (i) First, choosing the two primes, p and q, so that • p = 17, and q is the single digit prime that is closest to the last digit of your national identity number. Second, choosing the value of e to be greater than 5. Third, find the multiplicative inverse d of e showing all the steps and calculations. B. Encrypt a message M = 8, then decrypt the ciphertext to retrieve the original message. Note: You will use the MATLAB code named 'RSA_Spring2023' to finish this task. (iii)
Transcribed Image Text:Task 1: Explain how prime numbers are important by evaluating an example based on the RSA algorithm. A. Generate a public/private key pair by (i) First, choosing the two primes, p and q, so that • p = 17, and q is the single digit prime that is closest to the last digit of your national identity number. Second, choosing the value of e to be greater than 5. Third, find the multiplicative inverse d of e showing all the steps and calculations. B. Encrypt a message M = 8, then decrypt the ciphertext to retrieve the original message. Note: You will use the MATLAB code named 'RSA_Spring2023' to finish this task. (iii)
clc;% Clear command window disp('RSA Encrypt-Decrypt Algorithm'); disp('--- ·'); clear all; close all;%Clear variables in workspace and close figure %Input value Public key (e,N) and Private key (d, N) e = input('\n Public key e: '); n = input('\n Public key N: '); d = input('\n Private key d: '); disp(['Public key (e,N) : (' num2str(e) ',' num2str(n) ')']); disp(['Private key (d, N) : (' num2str(d) ',' num2str(n) ')']); c =input('\nEnter the Original message: '); %Encrypt cipher= powermod (c,e,n); disp(['cipher: ' num2str(cipher)]); %Decrypt plain= powermod (cipher,d,n); disp(['decrypt: ' num2str(plain)]);
Transcribed Image Text:clc;% Clear command window disp('RSA Encrypt-Decrypt Algorithm'); disp('--- ·'); clear all; close all;%Clear variables in workspace and close figure %Input value Public key (e,N) and Private key (d, N) e = input('\n Public key e: '); n = input('\n Public key N: '); d = input('\n Private key d: '); disp(['Public key (e,N) : (' num2str(e) ',' num2str(n) ')']); disp(['Private key (d, N) : (' num2str(d) ',' num2str(n) ')']); c =input('\nEnter the Original message: '); %Encrypt cipher= powermod (c,e,n); disp(['cipher: ' num2str(cipher)]); %Decrypt plain= powermod (cipher,d,n); disp(['decrypt: ' num2str(plain)]);
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