16.2, due on December 2

1. I don't really understand how to map a message to a point and how to get the message back from a point on an elliptic curve.

2. These elliptic curve things are kind of weird.

16.1, due on November 30

1. This is all a little more abstract than I'm able to grasp. Also, why do you take the negative of the y? I'm sure it's just how we choose to define addition, but why?

2. I'm interested to see how this applies to cryptography . . .

18.1-18.2, due on November 24

1. I didn't understand most of the section about error correcting codes, specifically how a code C can detect a certain number of errors.

2. I thought the part about ISBN numbers was really interesting. I had heard about it before, but never really got it. It helped to learn about it in the context of other error correcting codes.

2.12, due on November 23

1. I don't understand the set-up of Enigma, which I think makes it hard for me to understand the method of breaking it, although that seems to be hard to understand regardless.

2. I remember cyclic groups from 371, which I thought was cool. I also enjoyed the movie The Imitation Game, although I know that it is not completely accurate. 

19.1-19.2, due on November 18

1. I don't really understand how quantum bits work at all.

2. This is a cool overlap of math and physics. It's exciting that developments on this are happening right now!

14.1-14.2, due on November 14

1. I didn't understand the part about I and H(I||j) and why it works. I also had difficulty understanding why the Feige-Fiat-Shamir Identification Scheme actually works.

2. This seems really applicable and useful. That's something I like about this class. While it is just a lot of number theory, I like that it has context in the real world.

Exam Review, due on November 13

• Which topics and ideas do you think are the most important out of those we have studied?
• I think the most important topics are the different cryptosystems that we learned about and specific attacks on those systems. Most of the other stuff that we learned seemed to lead up to them.
• What kinds of questions do you expect to see on the exam?
• It's hard for me to know what to expect, because I feel like we used computers an awful lot in this unit. Even the concepts behind them seem to require bigger numbers, which we aren't really able to work with without a strong computer.
• What do you need to work on understanding better before the exam?
• I need to work on understanding Fermat's Little Theorem and Euler's theorem and how to apply them.
• I need to review all the different primality tests as well as attacks on the different cryptosystems.