Curves

A toy elliptic curve implementation in Rust enough to experiment with key exchange

Idea from: https://curves.xargs.org/

Run the tests

Please check the unit test named: test_key_exchange in curve61.rs:

cargo test

TODO

• FiniteField61: auto generate mul_inverse & square_root automatically
• Improve FiniteField trait
• Curve61 point add: handle point addition with INF
• Add a way to plot the Curve61 in real numbers & in FiniteField61
• Add Curve61 Montgomery ladder
  • • benchmark
• Improve EllipticCurve trait
  • add trait based implementation of eval_at / point_add / point_mul
    • add Curve23 and add test_key_exchange too
• Add Curve25519 impl
  • test it against openssl?
• Add more doc & comments