I have never worked with fields before, so this whole discussion about Galois fields was pretty crazy to me. The definition of a field makes sense to me, though. I'm struggling with seeing how the Euclidean Algorithm will work on these binary polynomial fields, but I suspect as I work with them more, I'll figure them out.
It was good to finally read a good discussion about a field. Fields are things I've heard about in other math classes, but I've never had one rigorously defined for me. I'm excited to learn more about fields, and how they apply to cryptography. I'm worried my lack of experience with group theory might make things difficult, but I'm sure things will work out in the end. This is getting interesting; the mathematics are definitely ramping up from what they've been before.
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