nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass > Struct Reference

#include <short_weierstrass_params.hpp>

Inheritance diagram for nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >:

Collaboration diagram for nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >:

Public Types
using	base_field_type = typename bls12_types< 377 >::base_field_type
using	field_type = typename bls12_types< 377 >::g2_field_type
template<typename Coordinates >
using	group_type = bls12_types< 377 >::g2_type< forms::short_weierstrass, Coordinates >
using	scalar_field_type = typename bls12_types< 377 >::scalar_field_type

Static Public Attributes
constexpr static const bls12_types< 377 >::integral_type	a
	coefficient of short Weierstrass curve $y^2=x^3+a*x+b$ More...
constexpr static const field_type::value_type	b = g1_b * twist.inversed()
constexpr static const field_type::value_type::underlying_type	g1_b
constexpr static const std::array< typename field_type::value_type, 2 >	one_fill
constexpr static const field_type::value_type	twist
constexpr static const std::array< typename field_type::value_type, 2 >	zero_fill

Member Typedef Documentation

base_field_type

using nil::crypto3::algebra::curves::detail::bls12_params< 377, forms::short_weierstrass >::base_field_type = typename bls12_types<377>::base_field_type

inherited

field_type

using nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >::field_type = typename bls12_types<377>::g2_field_type

group_type

template<typename Coordinates >

using nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >::group_type = bls12_types<377>::g2_type<forms::short_weierstrass, Coordinates>

scalar_field_type

using nil::crypto3::algebra::curves::detail::bls12_params< 377, forms::short_weierstrass >::scalar_field_type = typename bls12_types<377>::scalar_field_type

inherited

Member Data Documentation

a

constexpr bls12_types< 377 >::integral_type const nil::crypto3::algebra::curves::detail::bls12_params< 377, forms::short_weierstrass >::a

staticconstexprinherited

Initial value:

=
                            typename bls12_types<377>::integral_type(
                                0x00)

coefficient of short Weierstrass curve $y^2=x^3+a*x+b$

b

constexpr static const field_type::value_type nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >::b = g1_b * twist.inversed()

staticconstexpr

g1_b

constexpr static const field_type::value_type::underlying_type nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >::g1_b

staticconstexpr

Initial value:

=
                            typename field_type::value_type::underlying_type(b)

one_fill

constexpr std::array< typename bls12_g2_params< 377, forms::short_weierstrass >::field_type::value_type, 2 > const nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >::one_fill

staticconstexpr

Initial value:

= {
                            typename field_type::value_type(
                                0xB997FEF930828FE1B9E6A1707B8AA508A3DBFD7FE2246499C709226A0A6FEF49F85B3A375363F4F8F6EA3FBD159F8A_cppui376,
                                0xD6AC33B84947D9845F81A57A136BFA326E915FABC8CD6A57FF133B42D00F62E4E1AF460228CD5184DEAE976FA62596_cppui376),
                            typename field_type::value_type(
                                0x118DD509B2E9A13744A507D515A595DBB7E3B63DF568866473790184BDF83636C94DF2B7A962CB2AF4337F07CB7E622_cppui377,
                                0x185067C6CA76D992F064A432BD9F9BE832B0CAC2D824D0518F77D39E76C3E146AFB825F2092218D038867D7F337A010_cppui377)}

twist

constexpr static const field_type::value_type nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >::twist

staticconstexpr

Initial value:

=
                            typename field_type::value_type(field_type::value_type::underlying_type::zero(),
                                                            field_type::value_type::underlying_type::one())

zero_fill

constexpr std::array< typename bls12_g2_params< 377, forms::short_weierstrass >::field_type::value_type, 2 > const nil::crypto3::algebra::curves::detail::bls12_g2_params< 377, forms::short_weierstrass >::zero_fill

staticconstexpr

Initial value:

= {
                            field_type::value_type::zero(), field_type::value_type::one()}

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The documentation for this struct was generated from the following file:

• bls12/377/short_weierstrass_params.hpp