Engineering↗
Elliptic Curves Modulo N
Working with elliptic curves modulo a composite, why the group law fails, and why that failure is exactly what is wanted.
Every page in the KEVOS library tagged Elliptic Curve. 4 pages.
Working with elliptic curves modulo a composite, why the group law fails, and why that failure is exactly what is wanted.
What an elliptic curve is, why the group structure exists, and the three distinct roles curves play in this collection.
Primality proving by elliptic curves with known point counts, its recursive certificate, and the point-counting bottleneck.
Weierstrass forms, the discriminant and j-invariant, the group law with explicit formulas, torsion, and the structure of the group of points over finite fields.