1. Oh fields. We meet again abstract algebra! Taking it over the spring was hard enough, so I'm here thinking that a review of it in class would be most excellent to have. In the end, I feel that a review would really help my full understanding of what we are preparing to cover. I mean, I remember the basics of fields and whatnot, but (especially since I took it in the spring term and thus at an accelerated rate) a lot of it is eluding me as I read through it. So, I'll definitely be reviewing on my own, but any additional help would be more than welcome.
2. One thing that I find interesting through these readings were when we had equations suddenly pop out, seemingly out of nowhere. For example, when we multiply in GF(2^8), we are dealing with X to the exponents of 8, 4, 3, 1, and 0. Before that, though, we were representing all elements as polynomials of degree 7 or less. I don't quite get yet how this works out, even reading through it again and again. I wonder how they got this, and how it helps us out in the end.
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