The Group Law for Elliptic Curves

Stefan Berghofer 🌐

February 28, 2017

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Abstract

We prove the group law for elliptic curves in Weierstrass form over fields of characteristic greater than 2. In addition to affine coordinates, we also formalize projective coordinates, which allow for more efficient computations. By specializing the abstract formalization to prime fields, we can apply the curve operations to parameters used in standard security protocols.
BSD License

Topics

Theories of Elliptic_Curves_Group_Law