MAT 2051 Unit 6 Discussion Cryptography and Security

MAT 2051 Unit 6 Discussion Cryptography and Security

MAT 2051 Unit 6 Discussion Cryptography and Security

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?

Review the Discussion Participation Scoring Guide prior to posting. Make sure you include a minimum of three posts and that your first, or main, post responds to all parts of the question posed.

Response Guidelines

Read your peers’ posts and respond to two. Did you reach the same encryption as your peer? Explain why or why not. Show your work.

 

DQ2 Practice Problem Set Review

This discussion allows you to work with your peers to complete and understand the assigned problem set for this unit. Remember, two initial posts and two response posts are required. Further posts are optional and recommended:

For the first post, select a problem from this unit’s problem set, write it out fully, solve it fully, and post it.

The second post can be a problem you cannot solve or another fully solved problem from the problem set. If there is a problem in the problem set that you are confused about, write it out fully and show any work that you have started. Note that you are stuck and ask for help. If you are able to solve every problem in the set without difficulty, post at least one other fully solved problem from the set as your second post.

The third and fourth posts are responses. Response guidelines are provided below and in every discussion.

Take advantage of this discussion area to work together as a class on the problem set. Post as many problems as you can and review as many of your peers’ posts as you can. Ask questions. Offer answers. If you are stuck on a problem, post your question. Working as a team will help each person gain a better understanding of the problem set and the concepts covered in this unit. Although the problem sets are not graded they will help you prepare for the quizzes in this course.

Response Guidelines

The third and fourth posts, the response posts, are your chance to help your peers. Explore the posts made by your peers and find people who are stuck. Help at least two peers through the problems they are stuck on. If you are unable to locate a peer who is stuck, you may instead choose a peer post, write out your solution to the same problem, and compare solutions and methods. The goal of this area is for the entire class to work together as a group on the entire problem set. You are also expected to complete and understand the problem set on your own in preparation for the quizzes and final exam.

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