Struct ark_bls12_381::FqConfig

source ·
pub struct FqConfig;

Trait Implementations§

Sets a = -a.

The modulus of the field.
A multiplicative generator of the field. Self::GENERATOR is an element having multiplicative order Self::MODULUS - 1.
2^s root of unity computed by GENERATOR^t
An integer b such that there exists a multiplicative subgroup of size b^k for some integer k.
The integer k such that there exists a multiplicative subgroup of size Self::SMALL_SUBGROUP_BASE^k.
GENERATOR^((MODULUS-1) / (2^s * SMALL_SUBGROUP_BASE^SMALL_SUBGROUP_BASE_ADICITY)). Used for mixed-radix FFT.
Sets a = a + b.
Sets a = a - b.
Sets a = 2 * a.
This modular multiplication algorithm uses Montgomery reduction for efficient implementation. It also additionally uses the “no-carry optimization” outlined here if Self::MODULUS has (a) a non-zero MSB, and (b) at least one zero bit in the rest of the modulus.
Let M be the power of 2^64 nearest to Self::MODULUS_BITS. Then R = M % Self::MODULUS.
R2 = R^2 % Self::MODULUS
INV = -MODULUS^{-1} mod 2^64
Precomputed material for use when computing square roots. The default is to use the standard Tonelli-Shanks algorithm.

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