2 Fermat test 1. Implement the Fermat test of primality with small integers. 2. Write a function to generate random k-bit prime numbers. 3 RSA 1. Write the key-generation function function of RSA. The function should generate two random primes p and q of size k/2 bits. 2. Implement the RSA encryption function 3. Implement the RSA decryption function 4. Check that decryption works

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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The GMP library, using C or C++
The prefered solution is to use the Sage library.
2 Fermat test
1. Implement the Fermat test of primality with small integers.
2. Write a function to generate random k-bit prime numbers.
3
RSA
1. Write the key-generation function function of RSA. The function should
generate two random primes p and q of size k/2 bits.
2. Implement the RSA encryption function
3. Implement the RSA decryption function
4. Check that decryption works
Transcribed Image Text:The GMP library, using C or C++ The prefered solution is to use the Sage library. 2 Fermat test 1. Implement the Fermat test of primality with small integers. 2. Write a function to generate random k-bit prime numbers. 3 RSA 1. Write the key-generation function function of RSA. The function should generate two random primes p and q of size k/2 bits. 2. Implement the RSA encryption function 3. Implement the RSA decryption function 4. Check that decryption works
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