nil::crypto3::algebra::curves::detail::curve25519_g1_params< forms::twisted_edwards > Struct Reference

#include <params.hpp>

Inheritance diagram for nil::crypto3::algebra::curves::detail::curve25519_g1_params< forms::twisted_edwards >:

Collaboration diagram for nil::crypto3::algebra::curves::detail::curve25519_g1_params< forms::twisted_edwards >:

Public Types
using	base_field_type = typename curve25519_types::base_field_type
using	field_type = typename curve25519_types::g1_field_type
template<typename Coordinates >
using	group_type = curve25519_types::g1_type< forms::twisted_edwards, Coordinates >
using	scalar_field_type = typename curve25519_types::scalar_field_type

Static Public Attributes
constexpr static curve25519_types::integral_type	a
constexpr static curve25519_types::integral_type	d
constexpr static std::array< typename field_type::value_type, 2 >	one_fill
constexpr static std::array< typename field_type::value_type, 2 >	zero_fill

Member Typedef Documentation

base_field_type

using nil::crypto3::algebra::curves::detail::curve25519_params< forms::twisted_edwards >::base_field_type = typename curve25519_types::base_field_type

inherited

field_type

using nil::crypto3::algebra::curves::detail::curve25519_g1_params< forms::twisted_edwards >::field_type = typename curve25519_types::g1_field_type

group_type

template<typename Coordinates >

using nil::crypto3::algebra::curves::detail::curve25519_g1_params< forms::twisted_edwards >::group_type = curve25519_types::g1_type<forms::twisted_edwards, Coordinates>

scalar_field_type

using nil::crypto3::algebra::curves::detail::curve25519_params< forms::twisted_edwards >::scalar_field_type = typename curve25519_types::scalar_field_type

inherited

Member Data Documentation

a

constexpr curve25519_types::integral_type nil::crypto3::algebra::curves::detail::curve25519_params< forms::twisted_edwards >::a

staticconstexprinherited

Initial value:

= typename curve25519_types::integral_type(
                            0x7fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffec_cppui255)

coefficient of Twisted Edwards curves $a*x^2+y^2=1+d*x^2*y^2$

d

constexpr curve25519_types::integral_type nil::crypto3::algebra::curves::detail::curve25519_params< forms::twisted_edwards >::d

staticconstexprinherited

Initial value:

= typename curve25519_types::integral_type(
                            0x52036cee2b6ffe738cc740797779e89800700a4d4141d8ab75eb4dca135978a3_cppui255)

coefficient of Twisted Edwards curves $a*x^2+y^2=1+d*x^2*y^2$

one_fill

constexpr std::array< typename curve25519_g1_params< forms::twisted_edwards >::field_type::value_type, 2 > nil::crypto3::algebra::curves::detail::curve25519_g1_params< forms::twisted_edwards >::one_fill

staticconstexpr

Initial value:

= {
                            typename field_type::value_type(
                                0x216936D3CD6E53FEC0A4E231FDD6DC5C692CC7609525A7B2C9562D608F25D51A_cppui254),
                            typename field_type::value_type(
                                0x6666666666666666666666666666666666666666666666666666666666666658_cppui255)}

zero_fill

constexpr std::array< typename curve25519_g1_params< forms::twisted_edwards >::field_type::value_type, 2 > nil::crypto3::algebra::curves::detail::curve25519_g1_params< forms::twisted_edwards >::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:

• curves/detail/curve25519/params.hpp