Pairing friendly bls12-381 curve supports fully no_std and parity-scale-codec.
This crate includes field and extension fields, curve implementation. There are two curve $G1$ and $G2$ described as following.
$G1: y^2 = x^3 + 4$
$G2: y^2 = x^3 + 4(u + 1)$
These two group supports bilinearity by pairing. Let $G$ and $H$ be generator of $G1$, and $G2$, and $e$ be pairing function. The relationship is described as following.
$e(aG, bH) = e(G, H)^{ab}$
shell
$ cargo test