Struct snarkvm_curves::bw6_761::FqParameters

pub struct FqParameters;

Trait Implementations

impl FieldParameters for FqParameters

type BigInteger = BigInteger

const CAPACITY: u32

The number of bits that can be reliably stored. (Should equal SELF::MODULUS_BITS - 1)

const GENERATOR: BigInteger

A multiplicative generator that is also a quadratic nonresidue. Self::GENERATOR is an element having multiplicative order Self::MODULUS - 1. There also does not exist x such that Self::GENERATOR = x^2 % Self::MODULUS

const INV: u64

INV = -(MODULUS^{-1} mod MODULUS) mod MODULUS

const MODULUS: BigInteger

The modulus of the field.

const MODULUS_BITS: u32

The number of bits needed to represent the Self::MODULUS.

const MODULUS_MINUS_ONE_DIV_TWO: BigInteger

(Self::MODULUS - 1) / 2

const R: BigInteger

R = 2^256 % Self::MODULUS

const R2: BigInteger

R2 = R^2 % Self::MODULUS

const REPR_SHAVE_BITS: u32

The number of bits that must be shaved from the beginning of the representation when randomly sampling.

const ROOT_OF_UNITY: BigInteger

2^s root of unity computed by GENERATOR^t

const T: BigInteger

t for 2^s * t = MODULUS - 1

const TWO_ADICITY: u32

2^s * t = MODULUS - 1 with t odd. This is the two-adicity of the prime.

const T_MINUS_ONE_DIV_TWO: BigInteger

(t - 1) / 2

impl Fp768Parameters for FqParameters