Public Types | Static Public Attributes | List of all members
nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > > Struct Reference

#include <alt_bn128.hpp>

+ Inheritance diagram for nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >:
+ Collaboration diagram for nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >:

Public Types

typedef field_type::extended_integral_type extended_integral_type
 
typedef alt_bn128_base_field< 254 > field_type
 
typedef policy_type::integral_type integral_type
 
typedef policy_type::modular_backend modular_backend
 
typedef field_type::modular_params_type modular_params_type
 
typedef policy_type::modular_type modular_type
 

Static Public Attributes

constexpr static const integral_type arithmetic_generator = 0x01
 
constexpr static const integral_type geometric_generator = 0x02
 
constexpr static const integral_type group_order
 
constexpr static const integral_type modulus = policy_type::modulus
 
constexpr static const std::size_t modulus_bits
 
constexpr static const modular_params_type modulus_params
 
constexpr static const integral_type multiplicative_generator = 0x03
 
constexpr static const integral_type nqr = 0x03
 
constexpr static const integral_type nqr_to_t
 
constexpr static const integral_type Rcubed
 
constexpr static const integral_type root_of_unity
 
constexpr static const integral_type Rsquared
 
constexpr static const std::size_t s = 0x01
 
constexpr static const integral_type t
 
constexpr static const integral_type t_minus_1_over_2
 

Member Typedef Documentation

◆ extended_integral_type

typedef field_type::extended_integral_type nil::crypto3::algebra::fields::params< alt_bn128_base_field< 254 > >::extended_integral_type
inherited

◆ field_type

typedef alt_bn128_base_field< 254 > nil::crypto3::algebra::fields::params< alt_bn128_base_field< 254 > >::field_type
inherited

◆ integral_type

typedef policy_type::integral_type nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::integral_type

◆ modular_backend

typedef policy_type::modular_backend nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::modular_backend

◆ modular_params_type

typedef field_type::modular_params_type nil::crypto3::algebra::fields::params< alt_bn128_base_field< 254 > >::modular_params_type
inherited

◆ modular_type

typedef policy_type::modular_type nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::modular_type

Member Data Documentation

◆ arithmetic_generator

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::arithmetic_generator = 0x01
staticconstexpr

◆ geometric_generator

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::geometric_generator = 0x02
staticconstexpr

◆ group_order

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::group_order
staticconstexpr
Initial value:
=
0x183227397098D014DC2822DB40C0AC2ECBC0B548B438E5469E10460B6C3E7EA3_cppui254

◆ modulus

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::modulus = policy_type::modulus
staticconstexpr

◆ modulus_bits

constexpr std::size_t const nil::crypto3::algebra::fields::params< alt_bn128_base_field< 254 > >::modulus_bits
staticconstexprinherited

◆ modulus_params

constexpr static const modular_params_type nil::crypto3::algebra::fields::params< alt_bn128_base_field< 254 > >::modulus_params
staticconstexprinherited

◆ multiplicative_generator

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::multiplicative_generator = 0x03
staticconstexpr

◆ nqr

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::nqr = 0x03
staticconstexpr

◆ nqr_to_t

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::nqr_to_t
staticconstexpr
Initial value:
=
0x30644E72E131A029B85045B68181585D97816A916871CA8D3C208C16D87CFD46_cppui254

◆ Rcubed

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::Rcubed
staticconstexpr
Initial value:
=
0x20FD6E902D592544EF7F0B0C0ADA0AFB62F210E6A7283DB6B1CD6DAFDA1530DF_cppui254

◆ root_of_unity

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::root_of_unity
staticconstexpr
Initial value:
=
0x30644E72E131A029B85045B68181585D97816A916871CA8D3C208C16D87CFD46_cppui254

◆ Rsquared

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::Rsquared
staticconstexpr
Initial value:
=
0x6D89F71CAB8351F47AB1EFF0A417FF6B5E71911D44501FBF32CFC5B538AFA89_cppui251

◆ s

constexpr std::size_t const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::s = 0x01
staticconstexpr

◆ t

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::t
staticconstexpr
Initial value:
=
0x183227397098D014DC2822DB40C0AC2ECBC0B548B438E5469E10460B6C3E7EA3_cppui253

◆ t_minus_1_over_2

constexpr arithmetic_params< alt_bn128_base_field< 254 > >::integral_type const nil::crypto3::algebra::fields::arithmetic_params< alt_bn128_base_field< 254 > >::t_minus_1_over_2
staticconstexpr
Initial value:
=
0xC19139CB84C680A6E14116DA060561765E05AA45A1C72A34F082305B61F3F51_cppui252
The documentation for this struct was generated from the following file: