flâneur

Elliptic curves

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The Zero Knowledge Blog

Empty  Print  Email We’ll need to brush up on some maths here, and we’ll start from a definition: the set of points (X,Y) that satisfies the equation y ^2 = x ^3 + A* x + B is an elliptic curve . Prof. Google offers a lot of information about these curves, and some simple drawings that help to visualize their shapes; these pictures will typically show a continuous line, while our curves will be made of separated points , as we operate on finite fields and not on the real numbers, but ok: we’ll remember to wrap the curve at the edges and just use “a few” points of that wrapped line. W

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