A deeper dive into elliptic curves
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!
With torsion groups at hand, we can now explore the formal definition of pairings.
A wrap-up on pairings, with some discussions around algorithms, types, and other nuances.
To wrap up the series, we take a look at a few practical aspects, and present some of the most studied elliptic curves out there.
arkana
