Botan::EllipticCurve< Params, FieldRep > Class Template Reference

#include <pcurves_impl.h>

Classes
class	FieldParams
class	ScalarParams

Public Types
using	AffinePoint = AffineCurvePoint<FieldElement, Params>
using	FieldElement = IntMod<FieldRep<FieldParams>>
using	ProjectivePoint = ProjectiveCurvePoint<FieldElement, Params>
using	Scalar = IntMod<MontgomeryRep<ScalarParams>>
typedef Params::W	W

Static Public Member Functions
static const FieldElement &	SSWU_C1 ()
static const FieldElement &	SSWU_C2 ()

Static Public Attributes
static constexpr FieldElement	A = FieldElement::from_words(Params::AW)
static constexpr auto	AW = Params::AW
static constexpr FieldElement	B = FieldElement::from_words(Params::BW)
static constexpr AffinePoint	G
static constexpr auto	NW = Params::NW
static constexpr size_t	OrderBits = Scalar::BITS
static constexpr size_t	PrimeFieldBits = FieldElement::BITS
static constexpr auto	PW = Params::PW
static constexpr FieldElement	SSWU_Z = FieldElement::constant(Params::Z)
static constexpr bool	ValidForSswuHash

Detailed Description

template<typename Params, template< typename FieldParamsT > typename FieldRep = MontgomeryRep>
class Botan::EllipticCurve< Params, FieldRep >

Definition at line 889 of file pcurves_impl.h.

Member Typedef Documentation

AffinePoint

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

using Botan::EllipticCurve< Params, FieldRep >::AffinePoint = AffineCurvePoint<FieldElement, Params>

Definition at line 908 of file pcurves_impl.h.

FieldElement

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

using Botan::EllipticCurve< Params, FieldRep >::FieldElement = IntMod<FieldRep<FieldParams>>

Definition at line 906 of file pcurves_impl.h.

ProjectivePoint

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

using Botan::EllipticCurve< Params, FieldRep >::ProjectivePoint = ProjectiveCurvePoint<FieldElement, Params>

Definition at line 909 of file pcurves_impl.h.

Scalar

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

using Botan::EllipticCurve< Params, FieldRep >::Scalar = IntMod<MontgomeryRep<ScalarParams>>

Definition at line 902 of file pcurves_impl.h.

W

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

typedef Params::W Botan::EllipticCurve< Params, FieldRep >::W

Definition at line 891 of file pcurves_impl.h.

Member Function Documentation

SSWU_C1()

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

static const FieldElement & Botan::EllipticCurve< Params, FieldRep >::SSWU_C1 ( )

inlinestatic

Definition at line 926 of file pcurves_impl.h.

      {
         // We derive it from C2 to avoid a second inversion
         static const auto C1 = (SSWU_C2() * SSWU_Z).negate();
         return C1;
      }

References Botan::EllipticCurve< Params, FieldRep >::SSWU_C2(), and Botan::EllipticCurve< Params, FieldRep >::SSWU_Z.

SSWU_C2()

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

static const FieldElement & Botan::EllipticCurve< Params, FieldRep >::SSWU_C2 ( )

inlinestatic

Definition at line 935 of file pcurves_impl.h.

      {
         // This could use a variable time inversion
         static const auto C2 = (B * (SSWU_Z * A).invert());
         return C2;
      }

References Botan::EllipticCurve< Params, FieldRep >::A, Botan::EllipticCurve< Params, FieldRep >::B, and Botan::EllipticCurve< Params, FieldRep >::SSWU_Z.

Referenced by Botan::EllipticCurve< Params, FieldRep >::SSWU_C1().

Member Data Documentation

A

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

FieldElement Botan::EllipticCurve< Params, FieldRep >::A = FieldElement::from_words(Params::AW)

staticconstexpr

Definition at line 914 of file pcurves_impl.h.

Referenced by Botan::EllipticCurve< Params, FieldRep >::SSWU_C2().

AW

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

auto Botan::EllipticCurve< Params, FieldRep >::AW = Params::AW

staticconstexpr

Definition at line 895 of file pcurves_impl.h.

B

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

FieldElement Botan::EllipticCurve< Params, FieldRep >::B = FieldElement::from_words(Params::BW)

staticconstexpr

Definition at line 915 of file pcurves_impl.h.

Referenced by Botan::EllipticCurve< Params, FieldRep >::SSWU_C2().

G

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

AffinePoint Botan::EllipticCurve< Params, FieldRep >::G

staticconstexpr

Initial value:

=
         AffinePoint(FieldElement::from_words(Params::GXW), FieldElement::from_words(Params::GYW))

Definition at line 917 of file pcurves_impl.h.

NW

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

auto Botan::EllipticCurve< Params, FieldRep >::NW = Params::NW

staticconstexpr

Definition at line 894 of file pcurves_impl.h.

OrderBits

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

size_t Botan::EllipticCurve< Params, FieldRep >::OrderBits = Scalar::BITS

staticconstexpr

Definition at line 911 of file pcurves_impl.h.

PrimeFieldBits

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

size_t Botan::EllipticCurve< Params, FieldRep >::PrimeFieldBits = FieldElement::BITS

staticconstexpr

Definition at line 912 of file pcurves_impl.h.

PW

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

auto Botan::EllipticCurve< Params, FieldRep >::PW = Params::PW

staticconstexpr

Definition at line 893 of file pcurves_impl.h.

SSWU_Z

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

FieldElement Botan::EllipticCurve< Params, FieldRep >::SSWU_Z = FieldElement::constant(Params::Z)

staticconstexpr

Definition at line 920 of file pcurves_impl.h.

Referenced by Botan::EllipticCurve< Params, FieldRep >::SSWU_C1(), and Botan::EllipticCurve< Params, FieldRep >::SSWU_C2().

ValidForSswuHash

template<typename Params , template< typename FieldParamsT > typename FieldRep = MontgomeryRep>

bool Botan::EllipticCurve< Params, FieldRep >::ValidForSswuHash

staticconstexpr

Initial value:

=
         (Params::Z != 0 && A.is_nonzero().as_bool() && B.is_nonzero().as_bool() && FieldElement::P_MOD_4 == 3)

Definition at line 922 of file pcurves_impl.h.

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

• src/lib/math/pcurves/pcurves_impl.h