O'Reilly logo

Public-key Cryptography: Theory and Practice by C. E. Veni Madhavan, Abhijit Das

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

*2.11. Elliptic Curves

The mathematics of elliptic curves is vast and complicated. A reasonably complete understanding of elliptic curves would require a book of comparable size as this. So we plan to be rather informal while talking about elliptic curves and about their generalizations called hyperelliptic curves. Interested readers can go through the books suggested at the end of this chapter to learn more about these curves. In this section, K stands for a field (finite or infinite) and the algebraic closure of K.

2.11.1. The Weierstrass Equation

An elliptic curve E over K is a plane curve defined by the polynomial equation

Equation 2.6 ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required