Trait PairingCheck 

pub trait PairingCheck {
    type Fp: Field;
    type Fp2: Field + FieldExtension<Self::Fp> + ComplexConjugate;
    type Fp12: FieldExtension<Self::Fp2> + ComplexConjugate;

    // Required methods
    fn pairing_check_hint(
        P: &[AffinePoint<Self::Fp>],
        Q: &[AffinePoint<Self::Fp2>],
    ) -> (Self::Fp12, Self::Fp12);
    fn pairing_check(
        P: &[AffinePoint<Self::Fp>],
        Q: &[AffinePoint<Self::Fp2>],
    ) -> Result<(), PairingCheckError>;
}

Required Associated Types

type Fp: Field

type Fp2: Field + FieldExtension<Self::Fp> + ComplexConjugate

type Fp12: FieldExtension<Self::Fp2> + ComplexConjugate

Required Methods

fn pairing_check_hint( P: &[AffinePoint<Self::Fp>], Q: &[AffinePoint<Self::Fp2>], ) -> (Self::Fp12, Self::Fp12)

Given points P[], Q[], computes the multi-Miller loop and then returns the final exponentiation hint from Novakovic-Eagon https://eprint.iacr.org/2024/640.pdf.

Output is c (residue witness inverse) and u (cubic nonresidue power).

Assumption

This function assumes all input points have already been validated by the caller. In particular, externally supplied points must be checked for canonical field representation, curve membership, and membership in the correct prime-order subgroup before being passed to this function. Callers must also enforce any protocol-specific policy about whether identity points are allowed. AffinePoint itself does not enforce these properties.

fn pairing_check( P: &[AffinePoint<Self::Fp>], Q: &[AffinePoint<Self::Fp2>], ) -> Result<(), PairingCheckError>

Checks whether the product of pairings over (P[i], Q[i]) evaluates to one.

Assumption

This function assumes all input points have already been validated by the caller. In particular, externally supplied points must be checked for canonical field representation, curve membership, and membership in the correct prime-order subgroup before being passed to this function. Callers must also enforce any protocol-specific policy about whether identity points are allowed. AffinePoint itself does not enforce these properties.

Dyn Compatibility

This trait is not dyn compatible.

In older versions of Rust, dyn compatibility was called "object safety", so this trait is not object safe.

Implementors