This actually made a surprising amount of sense, though I'm confused how to determine the set of possible x values to put in an elliptic curve based on a finite field. Do we just make one of the finite fields based on the type of finite fields we made before, where they were the set of polynomials modulo a polynomial with binary coefficients?
It was interesting to see how a finite field is used in this context, and also to see more applications of this concept.
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