1. The reading was simply an application of elliptical curves combined with cryptosystems we've already covered in the course. There wasn't anything TOO difficult about that. There was one thing, however. I didn't really understand WHY the verification step works in the ElGamal Digital Signatures application of elliptical curves. Also, I think I'm just over analyzing the reading, but it is very explicit in pointing out the fact that k^-1*k is not 1 but is congruent to 1. I don't understand why they're pointing that out here. I thought that was made clear in the beginning of the book. As such, I'm worried I'm missing something.
2. The thing I thought about most in relation to this reading was why would we use Elliptical Curves in a situation rather than using one of the original cryptosystems we've discussed. That is, why use the Elliptical Curve version of ElGamal rather than just plain old ElGamal? The question is, what advantages does one have over the other?
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