Cryptography is an exciting IT field that focuses on secure communications, typically on a network. Many
encryption methods use number theory to encode and decode messages. This number theory typically draws
upon ideas such as prime factorization, greatest common divisors (GCD), modulus, and so on.
For this discussion, read Chapter 5, section 5.4, which starts on page 250 of your text, which discusses
number theory and applications to cryptography. Post an explanation of how the RSA public-key cryptosystem
works that includes answers to the following questions:
What is a key?
What are public and private keys, and how are they used in the RSA public-key cryptosystem?
How are messages encoded and decoded using mod and GCD?
If you are using p = 17, q = 23, and n = 31, what would the encryption of 101 be, using public key z = pq?
Where is security used, and why is it important to everyone?