Trait lambdaworks_math::elliptic_curve::traits::IsEllipticCurve

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pub trait IsEllipticCurve {
    type BaseField: IsField + Clone + Debug;
    type PointRepresentation: IsGroup + FromAffine<Self::BaseField>;

    // Required method
    fn generator() -> Self::PointRepresentation;

    // Provided method
    fn create_point_from_affine(
        x: FieldElement<Self::BaseField>,
        y: FieldElement<Self::BaseField>
    ) -> Result<Self::PointRepresentation, EllipticCurveError> { ... }
}

Required Associated Types§

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type BaseField: IsField + Clone + Debug

BaseField is the field used for each of the coordinates of a point p belonging to the curve.

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type PointRepresentation: IsGroup + FromAffine<Self::BaseField>

The representation of the point. For example it can be projective coordinates, affine coordinates, XYZZ, depending on the curve and its possible optimizations.

Required Methods§

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fn generator() -> Self::PointRepresentation

Returns the generator of the main subgroup.

Provided Methods§

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fn create_point_from_affine( x: FieldElement<Self::BaseField>, y: FieldElement<Self::BaseField> ) -> Result<Self::PointRepresentation, EllipticCurveError>

Returns an affine point.

Implementors§