Initially the hardest thing to understand was how polynomial math was done mod a polynomial. I had forgeton how to do polynomial division and such it confused me until I saw it in the book. Also the ideas of finite fields were a little confusing, as it is an area of math that I have not studied until now.
The very idea of finite fields was the subject I found the most interesting. I would love to learn more about them and how they are used in other branches of math. Since I have already coded AES for another class, I know how the finite field F(2^8) works in AES, and as such I also think that is really cool.
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