Elliptic curves as abelian groups – Elliptic Curves
8.2 Elliptic curves as abelian groups Two points P and Q on a smooth elliptic curve E in reduced Weierstrass form can be added to […]
Key pair generation
Explicit formulae – Elliptic Curves
8.2.2 Explicit formulae The geometrical viewpoint is nice to get an intuitive picture of point addition, but in order to actually implement things on a […]
Elliptic curves over 𝔽2k – Elliptic Curves
8.3.2 Elliptic curves over 𝔽2k Although not strictly necessary in the context of TLS, for the sake of completeness, we’ll also briefly discuss here how […]
Discrete logarithms and Diffie-Hellman key exchange protocol – Elliptic Curves
8.3.3 Discrete logarithms and Diffie-Hellman key exchange protocol In Section 7.2, Groups, we defined the discrete logarithm problem for generic groups 𝔾. We repeat the […]