This repository tries to implement (in SageMath) the methods from the standard ISO/IEC 15946-5:2017 - Elliptic curve generation, Chapter 7: Constructing elliptic curves by complex multiplication.
The current state of the implementation is following:
| Method | Status |
|---|---|
| General construction | 🚧 |
| Miyaji-Nakabayashi-Takano (MNT) curve | 🚧 |
| Barreto-Naehrig (BN) curve | ✅ |
| Freeman curve (F curve) | ❌ |
| Cocks-Pinch (CP) curve | ✅ |
✅ = completed, 🚧 = work-in-progress, ❌ = not started
For example, you can run the Barreto-Naehrig method as follows:
sage barreto_naehrig.py -hThis command prints the help message which shows all the available parameters of the generation method.