Elliptic Curves In-Depth

A (kinda) gentle intro to elliptic curves

We now move from our familiar real number setting, to the realm of finite fields, where elliptic curves really shine.

Time to focus on the most relevant aspect about elliptic curves in cryptography: their group structure.

Let’s talk about functions on elliptic curves, and their crazy properties.

This time we cover divisors, and analyze how they play into the world of elliptic curves, revealing some new secrets.

An examination of some of the behind-the-scenes action that enables ECC, accompanied with brief look at a long-standing problem in math.

Setting up the bases to later define pairings, this article explores torsion groups!