Struct Fp4ConfigWrapper

pub struct Fp4ConfigWrapper<P>(/* private fields */)
where
    P: Fp4Config;

Trait Implementations

impl<P> QuadExtConfig for Fp4ConfigWrapper<P>

where P: Fp4Config,

const DEGREE_OVER_BASE_PRIME_FIELD: usize = 4usize

The degree of the extension over the base prime field.

const NONRESIDUE: <Fp4ConfigWrapper<P> as QuadExtConfig>::BaseField = P::NONRESIDUE

The quadratic non-residue used to construct the extension.

const FROBENIUS_COEFF_C1: &'static [<Fp4ConfigWrapper<P> as QuadExtConfig>::FrobCoeff] = P::FROBENIUS_COEFF_FP4_C1

Coefficients for the Frobenius automorphism.

type BasePrimeField = <<P as Fp4Config>::Fp2Config as Fp2Config>::Fp

The prime field that this quadratic extension is eventually an extension of.

type BaseField = QuadExtField<Fp2ConfigWrapper<<P as Fp4Config>::Fp2Config>>

The base field that this field is a quadratic extension of.

type FrobCoeff = <Fp4ConfigWrapper<P> as QuadExtConfig>::BasePrimeField

The type of the coefficients for an efficient implementation of the Frobenius endomorphism.

fn mul_base_field_by_nonresidue_in_place( fe: &mut <Fp4ConfigWrapper<P> as QuadExtConfig>::BaseField, ) -> &mut <Fp4ConfigWrapper<P> as QuadExtConfig>::BaseField

A specializable method for multiplying an element of the base field by the quadratic non-residue. This is used in Karatsuba multiplication and in complex squaring.

fn mul_base_field_by_frob_coeff( fe: &mut <Fp4ConfigWrapper<P> as QuadExtConfig>::BaseField, power: usize, )

A specializable method for multiplying an element of the base field by the appropriate Frobenius coefficient.

fn mul_base_field_by_nonresidue_and_add( y: &mut Self::BaseField, x: &Self::BaseField, )

A specializable method for setting y = x + NONRESIDUE * y. This allows for optimizations when the non-residue is canonically negative in the field.

fn mul_base_field_by_nonresidue_plus_one_and_add( y: &mut Self::BaseField, x: &Self::BaseField, )

A specializable method for computing x + mul_base_field_by_nonresidue(y) + y This allows for optimizations when the non-residue is not -1.

fn sub_and_mul_base_field_by_nonresidue( y: &mut Self::BaseField, x: &Self::BaseField, )

A specializable method for computing x - mul_base_field_by_nonresidue(y) This allows for optimizations when the non-residue is canonically negative in the field.