This library implements the BN254 curve that was sampled as part of the [\[BCTV14\]](https://eprint.iacr.org/2013/879.pdf) paper .
The name denotes that it is a Barreto--Naehrig curve of embedding degree 12,
defined over a 254-bit (prime) field. The scalar field is highly 2-adic.
This curve is also implemented in [libff](https://github.com/scipr-lab/libff/tree/master/libff/algebra/curves/alt_bn128) under the name `bn128`.
It is the same as the `bn256` curve used in Ethereum (eg: [go-ethereum](https://github.com/ethereum/go-ethereum/tree/master/crypto/bn254/cloudflare)).
#CAUTION
**This curve does not satisfy the 128-bit security level anymore.**
Curve information:
* Base field: q =
21888242871839275222246405745257275088696311157297823662689037894645226208583
* Scalar field: r =
21888242871839275222246405745257275088548364400416034343698204186575808495617
* valuation(q - 1, 2) = 1
* valuation(r - 1, 2) = 28
* G1 curve equation: y^2 = x^3 + 3
* G2 curve equation: y^2 = x^3 + B, where
* B = 3/(u+9) where Fq2 is represented as Fq\[u\]/(u^2+1) =
Fq2(19485874751759354771024239261021720505790618469301721065564631296452457478373,
266929791119991161246907387137283842545076965332900288569378510910307636690)