Trait ark_ff::fields::models::fp3::Fp3Config

pub trait Fp3Config: 'static + Send + Sync + Sized {
    type Fp: PrimeField;

    const NONRESIDUE: Self::Fp;
    const FROBENIUS_COEFF_FP3_C1: &'static [Self::Fp];
    const FROBENIUS_COEFF_FP3_C2: &'static [Self::Fp];
    const TWO_ADICITY: u32;
    const TRACE_MINUS_ONE_DIV_TWO: &'static [u64];
    const QUADRATIC_NONRESIDUE_TO_T: Fp3<Self>;

    // Provided method
    fn mul_fp_by_nonresidue_in_place(fe: &mut Self::Fp) -> &mut Self::Fp { ... }
}

Trait that specifies constants and methods for defining degree-three extension fields.

Required Associated Types

type Fp: PrimeField

Base prime field underlying this extension.

Required Associated Constants

const NONRESIDUE: Self::Fp

Cubic non-residue in Self::Fp used to construct the extension field. That is, NONRESIDUE is such that the cubic polynomial f(X) = X^3 - Self::NONRESIDUE in Fp[X] is irreducible in Self::Fp.

const FROBENIUS_COEFF_FP3_C1: &'static [Self::Fp]

const FROBENIUS_COEFF_FP3_C2: &'static [Self::Fp]

const TWO_ADICITY: u32

p^3 - 1 = 2^s * t, where t is odd.

const TRACE_MINUS_ONE_DIV_TWO: &'static [u64]

const QUADRATIC_NONRESIDUE_TO_T: Fp3<Self>

t-th power of a quadratic nonresidue in Fp3.

Provided Methods

fn mul_fp_by_nonresidue_in_place(fe: &mut Self::Fp) -> &mut Self::Fp

Return fe * Self::NONRESIDUE. The default implementation can be specialized if Self::NONRESIDUE has a special structure that can speed up multiplication

Implementors