The following model can be used to experiment with addition and doubling in a variety of elliptic curve groups over F₂4.

Finite Geometric Elliptic Curve Model. ( A javascript applet that opens in a separate window)

Try the following experiments:

1. Change the variables a and b to see the resulting number of points on the curve.

2. Select a point P on the curve, and then select a point Q on the curve, and then add them together.

3. Select a point P on the curve and then double it. 4. Try doubling P for g⁰

5. Try adding two points with the same x-value.

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