Struct ark_bw6_761::FrParameters

pub struct FrParameters;

Trait Implementations

impl FftParameters for FqParameters

type BigInt = BigInteger384

pub const TWO_ADICITY: u32

Let N be the size of the multiplicative group defined by the field. Then TWO_ADICITY is the two-adicity of N, i.e. the integer s such that N = 2^s * t for some odd integer t.

pub const TWO_ADIC_ROOT_OF_UNITY: BigInteger384

2^s root of unity computed by GENERATOR^t

pub const SMALL_SUBGROUP_BASE: Option<u32>

An integer b such that there exists a multiplicative subgroup of size b^k for some integer k.

pub const SMALL_SUBGROUP_BASE_ADICITY: Option<u32>

The integer k such that there exists a multiplicative subgroup of size Self::SMALL_SUBGROUP_BASE^k.

pub const LARGE_SUBGROUP_ROOT_OF_UNITY: Option<Self::BigInt>

GENERATOR^((MODULUS-1) / (2^s * SMALL_SUBGROUP_BASE^SMALL_SUBGROUP_BASE_ADICITY)) Used for mixed-radix FFT.

impl Fp384Parameters for FqParameters

impl FpParameters for FqParameters

pub const MODULUS: BigInteger384

MODULUS = 258664426012969094010652733694893533536393512754914660539884262666720468348340822774968888139573360124440321458177

pub const MODULUS_BITS: u32

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

pub const CAPACITY: u32

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

pub const REPR_SHAVE_BITS: u32

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

pub const R: BigInteger384

R = 85013442423176922659824578519796707547925331718418265885885478904210582549405549618995257669764901891699128663912

pub const R2: BigInteger384

R2 = R^2 % Self::MODULUS

pub const INV: u64

INV = -MODULUS^{-1} mod 2^64

pub const GENERATOR: BigInteger384

GENERATOR = -5 Encoded in Montgomery form, so the value here is (-5 * R) % q = 92261639910053574722182574790803529333160366917737991650341130812388023949653897454961487930322210790384999596794

pub const MODULUS_MINUS_ONE_DIV_TWO: BigInteger384

(Self::MODULUS - 1) / 2

pub const T: BigInteger384

t for 2^s * t = MODULUS - 1, and t coprime to 2.

pub const T_MINUS_ONE_DIV_TWO: BigInteger384

(t - 1) / 2