This section is really just a more specific portion of the other sections. I found it interesting that all the tangent lines are vertical to the curves of this modified elliptic curve. This type of crypto-analysis incorporates partial derivatives and lots of Calculus which I can appreciate.
I understand that elliptic curves are much easier to work with in mod 2, but I don't see why they are easier to work with in mod 2^n. That appears to be a big advantage but I don't see why. I am also confused about the end of the example on page 362. I am not sure how the authors found -(w,w^2).
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