1. The concepts covered aren't terribly new to me. I've encountered them before in previous classes. But we didn't cover them terribly in depth. We were more given just a taste of things to come. With that in mind, I have the hardest time just understanding the proofs of the concepts. As far as concepts go, though, I did have a hard time understanding the concepts that relate the smaller concepts. For example, the "Basic Principle."
2. Upon reflection I can see how this modular arithmetic can come in handy in cryptography. The tools explained in these two sections I think can be adequately categorized as tools used to deal with very large numbers by bringing them down to a smaller scale.It's almost as if we are finding loopholes in large numbers by using modular arithmetic.
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