Capella MAT2051 Unit 6 Discussion (dq1+dq2) Latest 2019 October

MAT2051 Discrete Mathematics

Unit 6 Discussion

DQ1 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.