nil::crypto3::algebra::curves::detail::alt_bn128_g2_params< 254, forms::short_weierstrass > Struct Reference

#include <short_weierstrass_params.hpp>

Inheritance diagram for nil::crypto3::algebra::curves::detail::alt_bn128_g2_params< 254, forms::short_weierstrass >:

Collaboration diagram for nil::crypto3::algebra::curves::detail::alt_bn128_g2_params< 254, forms::short_weierstrass >:

Public Types
using	base_field_type = typename alt_bn128_types< 254 >::base_field_type
using	field_type = typename alt_bn128_types< 254 >::g2_field_type
template<typename Coordinates >
using	group_type = alt_bn128_types< 254 >::g2_type< forms::short_weierstrass, Coordinates >
using	scalar_field_type = typename alt_bn128_types< 254 >::scalar_field_type

Static Public Attributes
constexpr static const alt_bn128_types< 254 >::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::alt_bn128_params< 254, forms::short_weierstrass >::base_field_type = typename alt_bn128_types<254>::base_field_type

inherited

field_type

using nil::crypto3::algebra::curves::detail::alt_bn128_g2_params< 254, forms::short_weierstrass >::field_type = typename alt_bn128_types<254>::g2_field_type

group_type

template<typename Coordinates >

using nil::crypto3::algebra::curves::detail::alt_bn128_g2_params< 254, forms::short_weierstrass >::group_type = alt_bn128_types<254>::g2_type<forms::short_weierstrass, Coordinates>

scalar_field_type

using nil::crypto3::algebra::curves::detail::alt_bn128_params< 254, forms::short_weierstrass >::scalar_field_type = typename alt_bn128_types<254>::scalar_field_type

inherited

Member Data Documentation

a

constexpr alt_bn128_types< 254 >::integral_type const nil::crypto3::algebra::curves::detail::alt_bn128_params< 254, forms::short_weierstrass >::a

staticconstexprinherited

Initial value:

=
                            typename alt_bn128_types<254>::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::alt_bn128_g2_params< 254, 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::alt_bn128_g2_params< 254, forms::short_weierstrass >::g1_b

staticconstexpr

Initial value:

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

one_fill

constexpr std::array< typename alt_bn128_g2_params< 254, forms::short_weierstrass >::field_type::value_type, 2 > const nil::crypto3::algebra::curves::detail::alt_bn128_g2_params< 254, forms::short_weierstrass >::one_fill

staticconstexpr

Initial value:

= {
                            typename field_type::value_type(
                                0x1800DEEF121F1E76426A00665E5C4479674322D4F75EDADD46DEBD5CD992F6ED_cppui254,
                                0x198E9393920D483A7260BFB731FB5D25F1AA493335A9E71297E485B7AEF312C2_cppui254),
                            typename field_type::value_type(
                                0x12C85EA5DB8C6DEB4AAB71808DCB408FE3D1E7690C43D37B4CE6CC0166FA7DAA_cppui254,
                                0x90689D0585FF075EC9E99AD690C3395BC4B313370B38EF355ACDADCD122975B_cppui254)}

twist

constexpr static const field_type::value_type nil::crypto3::algebra::curves::detail::alt_bn128_g2_params< 254, forms::short_weierstrass >::twist

staticconstexpr

Initial value:

=
                            typename field_type::value_type(0x09, 0x01)

zero_fill

constexpr std::array< typename alt_bn128_g2_params< 254, forms::short_weierstrass >::field_type::value_type, 2 > const nil::crypto3::algebra::curves::detail::alt_bn128_g2_params< 254, 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:

• alt_bn128/254/short_weierstrass_params.hpp