Crate fedimint_bls12_381

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§bls12_381

This crate provides an implementation of the BLS12-381 pairing-friendly elliptic curve construction.

  • This implementation has not been reviewed or audited. Use at your own risk.
  • This implementation targets Rust 1.36 or later.
  • This implementation does not require the Rust standard library.
  • All operations are constant time unless explicitly noted.

Modules§

  • Notes about how the BLS12-381 elliptic curve is designed, specified and implemented by this library.

Structs§

  • A pairing::Engine for BLS12-381 pairing operations.
  • This is an element of $\mathbb{G}_1$ represented in the affine coordinate space. It is ideal to keep elements in this representation to reduce memory usage and improve performance through the use of mixed curve model arithmetic.
  • This is an element of $\mathbb{G}_1$ represented in the projective coordinate space.
  • This is an element of $\mathbb{G}_2$ represented in the affine coordinate space. It is ideal to keep elements in this representation to reduce memory usage and improve performance through the use of mixed curve model arithmetic.
  • This structure contains cached computations pertaining to a $\mathbb{G}_2$ element as part of the pairing function (specifically, the Miller loop) and so should be computed whenever a $\mathbb{G}_2$ element is being used in multiple pairings or is otherwise known in advance. This should be used in conjunction with the multi_miller_loop function provided by this crate.
  • This is an element of $\mathbb{G}_2$ represented in the projective coordinate space.
  • This is an element of $\mathbb{G}_T$, the target group of the pairing function. As with $\mathbb{G}_1$ and $\mathbb{G}_2$ this group has order $q$.
  • Represents results of a Miller loop, one of the most expensive portions of the pairing function. MillerLoopResults cannot be compared with each other until .final_exponentiation() is called, which is also expensive.
  • Represents an element of the scalar field $\mathbb{F}_q$ of the BLS12-381 elliptic curve construction.

Functions§

  • Computes $$\sum_{i=1}^n \textbf{ML}(a_i, b_i)$$ given a series of terms $$(a_1, b_1), (a_2, b_2), …, (a_n, b_n).$$
  • Invoke the pairing function without the use of precomputation and other optimizations.