nil::crypto3::algebra::fields Namespace Reference

Namespaces
	detail

Classes
struct	alt_bn128_base_field
	IETF IPsec groups. More...
struct	alt_bn128_base_field< 254 >
struct	alt_bn128_scalar_field
	IETF IPsec groups. More...
struct	alt_bn128_scalar_field< 254 >
struct	arithmetic_params
struct	arithmetic_params< alt_bn128_base_field< 254 > >
struct	arithmetic_params< alt_bn128_scalar_field< 254 > >
struct	arithmetic_params< bls12_base_field< 377 > >
struct	arithmetic_params< bls12_base_field< 381 > >
struct	arithmetic_params< bls12_scalar_field< 377 > >
struct	arithmetic_params< bls12_scalar_field< 381 > >
struct	arithmetic_params< bn128_base_field< Version > >
struct	arithmetic_params< bn128_scalar_field< Version > >
struct	arithmetic_params< dsa_botan_base_field< 2048 > >
struct	arithmetic_params< dsa_botan_base_field< 3072 > >
struct	arithmetic_params< dsa_jce_base_field< Version > >
struct	arithmetic_params< edwards_base_field< Version > >
struct	arithmetic_params< edwards_scalar_field< Version > >
struct	arithmetic_params< fp2< alt_bn128_base_field< 254 > > >
struct	arithmetic_params< fp2< bls12_base_field< 377 > > >
struct	arithmetic_params< fp2< bls12_base_field< 381 > > >
struct	arithmetic_params< fp2< bn128_base_field< Version > > >
struct	arithmetic_params< fp2< mnt4_base_field< 298 > > >
struct	arithmetic_params< fp3< edwards_base_field< Version > > >
struct	arithmetic_params< fp3< mnt6_base_field< 298 > > >
struct	arithmetic_params< mnt4_base_field< 298 > >
struct	arithmetic_params< mnt6_base_field< 298 > >
struct	arithmetic_params< pallas_scalar_field< 255 > >
struct	arithmetic_params< vesta_scalar_field< 255 > >
struct	babyjubjub_scalar_field
	BabyJubJub curve scalar field. More...
struct	bls12_base_field
	IETF IPsec groups. More...
struct	bls12_base_field< 377 >
struct	bls12_base_field< 381 >
struct	bls12_scalar_field
struct	bls12_scalar_field< 377 >
struct	bls12_scalar_field< 381 >
struct	bn128_base_field
	IETF IPsec groups. More...
struct	bn128_base_field< 254 >
struct	bn128_scalar_field
	IETF IPsec groups. More...
struct	bn128_scalar_field< 254 >
struct	brainpool_r1_base_field
	IETF IPsec groups. More...
struct	brainpool_r1_base_field< 160 >
struct	brainpool_r1_base_field< 192 >
struct	brainpool_r1_base_field< 224 >
struct	brainpool_r1_base_field< 256 >
struct	brainpool_r1_base_field< 320 >
struct	brainpool_r1_base_field< 384 >
struct	brainpool_r1_base_field< 512 >
struct	brainpool_r1_scalar_field
	IETF IPsec groups. More...
struct	brainpool_r1_scalar_field< 160 >
struct	brainpool_r1_scalar_field< 192 >
struct	brainpool_r1_scalar_field< 224 >
struct	brainpool_r1_scalar_field< 256 >
struct	brainpool_r1_scalar_field< 320 >
struct	brainpool_r1_scalar_field< 384 >
struct	brainpool_r1_scalar_field< 512 >
struct	curve25519_base_field
	A struct representing a curve25519 curve. https://datatracker.ietf.org/doc/html/rfc7748#section-4.1 https://neuromancer.sk/std/other/Curve25519# https://neuromancer.sk/std/other/Ed25519#. More...
struct	curve25519_scalar_field
	A struct representing a curve25519 curve. https://datatracker.ietf.org/doc/html/rfc7748#section-4.1 https://neuromancer.sk/std/other/Curve25519# https://neuromancer.sk/std/other/Ed25519#. More...
struct	dsa_botan
	DSA group. More...
struct	dsa_botan< 2048 >
struct	dsa_botan< 3072 >
struct	dsa_jce
	DSA group. More...
struct	dsa_jce< 1024 >
struct	ed25519
	ED25519 groups. More...
struct	ed25519< 255 >
struct	edwards_base_field
	IETF IPsec groups. More...
struct	edwards_base_field< 183 >
struct	edwards_scalar_field
	IETF IPsec groups. More...
struct	edwards_scalar_field< 183 >
struct	ffdhe_ietf
	TLS FFDHE groups. More...
struct	ffdhe_ietf< 2048 >
struct	ffdhe_ietf< 3072 >
struct	ffdhe_ietf< 4096 >
struct	ffdhe_ietf< 6144 >
struct	ffdhe_ietf< 8192 >
struct	field
struct	fp12_2over3over2
struct	fp2
struct	fp3
struct	fp4
struct	fp6_2over3
struct	fp6_3over2
struct	frp_v1_base_fields
	IETF IPsec groups. More...
struct	frp_v1_base_fields< 256 >
struct	frp_v1_scalar_field
	IETF IPsec groups. More...
struct	frp_v1_scalar_field< 256 >
struct	gost_A_base_field
	IETF IPsec groups. More...
struct	gost_A_base_field< 256 >
struct	gost_A_scalar_field
	IETF IPsec groups. More...
struct	gost_A_scalar_field< 256 >
struct	jubjub_scalar_field
	JubJub curve scalar field. More...
struct	mnt4_base_field
	IETF IPsec groups. More...
struct	mnt4_base_field< 298 >
struct	mnt6_base_field
	IETF IPsec groups. More...
struct	mnt6_base_field< 298 >
struct	modp_ietf
	IETF IPsec groups. More...
struct	modp_ietf< 1024 >
struct	modp_ietf< 1536 >
struct	modp_ietf< 2048 >
struct	modp_ietf< 3072 >
struct	modp_ietf< 4096 >
struct	modp_ietf< 6144 >
struct	modp_ietf< 8192 >
struct	modp_srp
	SRP groups SRP groups have a p st (p-1)/2 is prime, but g is not a generator of subgroup of size q, so set q == 0 to bypass generator check. More...
struct	modp_srp< 1024 >
struct	modp_srp< 1536 >
struct	modp_srp< 2048 >
struct	modp_srp< 3072 >
struct	modp_srp< 4096 >
struct	modp_srp< 6144 >
struct	modp_srp< 8192 >
struct	pallas_base_field
	A struct representing a pallas curve. More...
struct	pallas_scalar_field
	A struct representing a pallas curve. More...
struct	params
struct	secp_k1_base_field
	IETF IPsec groups. More...
struct	secp_k1_base_field< 160 >
struct	secp_k1_base_field< 192 >
struct	secp_k1_base_field< 224 >
struct	secp_k1_base_field< 256 >
struct	secp_k1_scalar_field
struct	secp_k1_scalar_field< 160 >
struct	secp_k1_scalar_field< 192 >
struct	secp_k1_scalar_field< 224 >
struct	secp_k1_scalar_field< 256 >
struct	secp_r1_base_field
	IETF IPsec groups. More...
struct	secp_r1_base_field< 160 >
struct	secp_r1_base_field< 192 >
struct	secp_r1_base_field< 224 >
struct	secp_r1_base_field< 256 >
struct	secp_r1_base_field< 384 >
struct	secp_r1_base_field< 521 >
struct	secp_r1_scalar_field
struct	secp_r1_scalar_field< 160 >
struct	secp_r1_scalar_field< 192 >
struct	secp_r1_scalar_field< 224 >
struct	secp_r1_scalar_field< 256 >
struct	secp_r1_scalar_field< 384 >
struct	secp_r1_scalar_field< 521 >
struct	sect_k1_base_field
	IETF IPsec groups. More...
struct	sect_k1_base_field< 163 >
struct	sect_k1_scalar_field
struct	sect_k1_scalar_field< 163 >
struct	sm2p_v1_base_field
	IETF IPsec groups. More...
struct	sm2p_v1_base_field< 256 >
struct	sm2p_v1_scalar_field
	IETF IPsec groups. More...
struct	sm2p_v1_scalar_field< 256 >
struct	vesta_base_field
	A struct representing a vesta curve. More...
struct	vesta_scalar_field
	A struct representing a vesta curve. More...
struct	x962_p_v1_base_field
	IETF IPsec groups. More...
struct	x962_p_v1_base_field< 239 >
struct	x962_p_v1_scalar_field
	IETF IPsec groups. More...
struct	x962_p_v1_scalar_field< 239 >
struct	x962_p_v2_base_field
struct	x962_p_v2_base_field< 192 >
struct	x962_p_v2_base_field< 239 >
struct	x962_p_v2_scalar_field
struct	x962_p_v2_scalar_field< 192 >
struct	x962_p_v2_scalar_field< 239 >
struct	x962_p_v3_base_field
struct	x962_p_v3_base_field< 192 >
struct	x962_p_v3_base_field< 239 >
struct	x962_p_v3_scalar_field
struct	x962_p_v3_scalar_field< 192 >
struct	x962_p_v3_scalar_field< 239 >

Typedefs
template<std::size_t Version = 254>
using	alt_bn128 = alt_bn128_base_field< Version >
template<std::size_t Version = 254>
using	alt_bn128_fq = alt_bn128_base_field< Version >
template<std::size_t Version = 254>
using	alt_bn128_fr = alt_bn128_scalar_field< Version >
using	babyjubjub = babyjubjub_base_field
using	babyjubjub_base_field = alt_bn128_scalar_field< 254 >
	IETF IPsec groups. More...
using	babyjubjub_fq = babyjubjub_base_field
using	babyjubjub_fr = babyjubjub_scalar_field
template<std::size_t Version = 381>
using	bls12 = bls12_base_field< Version >
template<std::size_t Version = 381>
using	bls12_fq = bls12_base_field< Version >
template<std::size_t Version = 381>
using	bls12_fr = bls12_scalar_field< Version >
template<std::size_t Version = 254>
using	bn128 = bn128_base_field< Version >
template<std::size_t Version = 254>
using	bn128_fq = bn128_base_field< Version >
template<std::size_t Version = 254>
using	bn128_fr = bn128_scalar_field< Version >
template<std::size_t Version = 160>
using	brainpool_r1 = brainpool_r1_base_field< Version >
template<std::size_t Version = 160>
using	brainpool_r1_fq = brainpool_r1_base_field< Version >
template<std::size_t Version = 160>
using	brainpool_r1_fr = brainpool_r1_scalar_field< Version >
using	curve25519_fq = curve25519_base_field
using	curve25519_fr = curve25519_scalar_field
template<std::size_t Version = 183>
using	edwards = edwards_base_field< Version >
template<std::size_t Version = 183>
using	edwards_fq = edwards_base_field< Version >
template<std::size_t Version = 183>
using	edwards_fr = edwards_scalar_field< Version >
template<std::size_t Version = 256>
using	frp_v1 = frp_v1_base_field< Version >
template<std::size_t Version = 256>
using	frp_v1_fq = frp_v1_base_field< Version >
template<std::size_t Version = 256>
using	frp_v1_fr = frp_v1_scalar_field< Version >
template<std::size_t Version = 256>
using	gost_A = gost_A_base_field< Version >
template<std::size_t Version = 256>
using	gost_A_fq = gost_A_base_field< Version >
template<std::size_t Version = 256>
using	gost_A_fr = gost_A_scalar_field< Version >
using	jubjub = jubjub_base_field
using	jubjub_base_field = bls12_scalar_field< 381 >
	IETF IPsec groups. More...
using	jubjub_fq = jubjub_base_field
using	jubjub_fr = jubjub_scalar_field
template<std::size_t Version = 298>
using	mnt4 = mnt4_base_field< Version >
template<std::size_t Version = 298>
using	mnt4_fq = mnt4_base_field< Version >
template<std::size_t Version = 298>
using	mnt4_fr = mnt4_scalar_field< Version >
template<std::size_t Version = 298>
using	mnt4_scalar_field = mnt6_base_field< Version >
	IETF IPsec groups. More...
template<std::size_t Version = 298>
using	mnt6 = mnt6_base_field< Version >
template<std::size_t Version = 298>
using	mnt6_fq = mnt6_base_field< Version >
template<std::size_t Version = 298>
using	mnt6_fr = mnt6_scalar_field< Version >
template<std::size_t Version = 298>
using	mnt6_scalar_field = mnt4_base_field< Version >
	IETF IPsec groups. More...
using	pallas_fq = pallas_base_field
using	pallas_fr = pallas_scalar_field
template<std::size_t Version>
using	secp_k1_fq = secp_k1_base_field< Version >
template<std::size_t Version>
using	secp_k1_fr = secp_k1_scalar_field< Version >
template<std::size_t Version>
using	secp_r1_fq = secp_r1_base_field< Version >
template<std::size_t Version>
using	secp_r1_fr = secp_r1_scalar_field< Version >
template<std::size_t Version>
using	sect_k1_fq = sect_k1_base_field< Version >
template<std::size_t Version>
using	sect_k1_fr = sect_k1_scalar_field< Version >
template<std::size_t Version = 256>
using	sm2p_v1 = sm2p_v1_base_field< Version >
template<std::size_t Version = 256>
using	sm2p_v1_fq = sm2p_v1_base_field< Version >
template<std::size_t Version = 256>
using	sm2p_v1_fr = sm2p_v1_scalar_field< Version >
using	vesta_fq = vesta_base_field
using	vesta_fr = vesta_scalar_field
template<std::size_t Version = 239>
using	x962_p_v1 = x962_p_v1_base_field< Version >
template<std::size_t Version = 239>
using	x962_p_v1_fq = x962_p_v1_base_field< Version >
template<std::size_t Version = 239>
using	x962_p_v1_fr = x962_p_v1_scalar_field_field< Version >
template<std::size_t Version = 192>
using	x962_p_v2 = x962_p_v2_base_field< Version >
template<std::size_t Version = 192>
using	x962_p_v2_fq = x962_p_v2_base_field< Version >
template<std::size_t Version = 192>
using	x962_p_v2_fr = x962_p_v2_scalar_field_field< Version >
template<std::size_t Version = 192>
using	x962_p_v3 = x962_p_v3_base_field< Version >
template<std::size_t Version = 192>
using	x962_p_v3_fq = x962_p_v3_base_field< Version >
template<std::size_t Version = 192>
using	x962_p_v3_fr = x962_p_v3_scalar_field_field< Version >

Typedef Documentation

alt_bn128

template<std::size_t Version = 254>

using nil::crypto3::algebra::fields::alt_bn128 = typedef alt_bn128_base_field<Version>

alt_bn128_fq

template<std::size_t Version = 254>

using nil::crypto3::algebra::fields::alt_bn128_fq = typedef alt_bn128_base_field<Version>

alt_bn128_fr

template<std::size_t Version = 254>

using nil::crypto3::algebra::fields::alt_bn128_fr = typedef alt_bn128_scalar_field<Version>

babyjubjub

using nil::crypto3::algebra::fields::babyjubjub = typedef babyjubjub_base_field

babyjubjub_base_field

using nil::crypto3::algebra::fields::babyjubjub_base_field = typedef alt_bn128_scalar_field<254>

IETF IPsec groups.

Template Parameters

Version

babyjubjub_fq

using nil::crypto3::algebra::fields::babyjubjub_fq = typedef babyjubjub_base_field

babyjubjub_fr

using nil::crypto3::algebra::fields::babyjubjub_fr = typedef babyjubjub_scalar_field

bls12

template<std::size_t Version = 381>

using nil::crypto3::algebra::fields::bls12 = typedef bls12_base_field<Version>

bls12_fq

template<std::size_t Version = 381>

using nil::crypto3::algebra::fields::bls12_fq = typedef bls12_base_field<Version>

bls12_fr

template<std::size_t Version = 381>

using nil::crypto3::algebra::fields::bls12_fr = typedef bls12_scalar_field<Version>

bn128

template<std::size_t Version = 254>

using nil::crypto3::algebra::fields::bn128 = typedef bn128_base_field<Version>

bn128_fq

template<std::size_t Version = 254>

using nil::crypto3::algebra::fields::bn128_fq = typedef bn128_base_field<Version>

bn128_fr

template<std::size_t Version = 254>

using nil::crypto3::algebra::fields::bn128_fr = typedef bn128_scalar_field<Version>

brainpool_r1

template<std::size_t Version = 160>

using nil::crypto3::algebra::fields::brainpool_r1 = typedef brainpool_r1_base_field<Version>

brainpool_r1_fq

template<std::size_t Version = 160>

using nil::crypto3::algebra::fields::brainpool_r1_fq = typedef brainpool_r1_base_field<Version>

brainpool_r1_fr

template<std::size_t Version = 160>

using nil::crypto3::algebra::fields::brainpool_r1_fr = typedef brainpool_r1_scalar_field<Version>

curve25519_fq

using nil::crypto3::algebra::fields::curve25519_fq = typedef curve25519_base_field

curve25519_fr

using nil::crypto3::algebra::fields::curve25519_fr = typedef curve25519_scalar_field

edwards

template<std::size_t Version = 183>

using nil::crypto3::algebra::fields::edwards = typedef edwards_base_field<Version>

edwards_fq

template<std::size_t Version = 183>

using nil::crypto3::algebra::fields::edwards_fq = typedef edwards_base_field<Version>

edwards_fr

template<std::size_t Version = 183>

using nil::crypto3::algebra::fields::edwards_fr = typedef edwards_scalar_field<Version>

frp_v1

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::frp_v1 = typedef frp_v1_base_field<Version>

frp_v1_fq

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::frp_v1_fq = typedef frp_v1_base_field<Version>

frp_v1_fr

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::frp_v1_fr = typedef frp_v1_scalar_field<Version>

gost_A

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::gost_A = typedef gost_A_base_field<Version>

gost_A_fq

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::gost_A_fq = typedef gost_A_base_field<Version>

gost_A_fr

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::gost_A_fr = typedef gost_A_scalar_field<Version>

jubjub

using nil::crypto3::algebra::fields::jubjub = typedef jubjub_base_field

jubjub_base_field

using nil::crypto3::algebra::fields::jubjub_base_field = typedef bls12_scalar_field<381>

IETF IPsec groups.

Template Parameters

Version

jubjub_fq

using nil::crypto3::algebra::fields::jubjub_fq = typedef jubjub_base_field

jubjub_fr

using nil::crypto3::algebra::fields::jubjub_fr = typedef jubjub_scalar_field

mnt4

template<std::size_t Version = 298>

using nil::crypto3::algebra::fields::mnt4 = typedef mnt4_base_field<Version>

mnt4_fq

template<std::size_t Version = 298>

using nil::crypto3::algebra::fields::mnt4_fq = typedef mnt4_base_field<Version>

mnt4_fr

template<std::size_t Version = 298>

using nil::crypto3::algebra::fields::mnt4_fr = typedef mnt4_scalar_field<Version>

mnt4_scalar_field

template<std::size_t Version = 298>

using nil::crypto3::algebra::fields::mnt4_scalar_field = typedef mnt6_base_field<Version>

IETF IPsec groups.

Template Parameters

Version

mnt6

template<std::size_t Version = 298>

using nil::crypto3::algebra::fields::mnt6 = typedef mnt6_base_field<Version>

mnt6_fq

template<std::size_t Version = 298>

using nil::crypto3::algebra::fields::mnt6_fq = typedef mnt6_base_field<Version>

mnt6_fr

template<std::size_t Version = 298>

using nil::crypto3::algebra::fields::mnt6_fr = typedef mnt6_scalar_field<Version>

mnt6_scalar_field

template<std::size_t Version = 298>

using nil::crypto3::algebra::fields::mnt6_scalar_field = typedef mnt4_base_field<Version>

IETF IPsec groups.

Template Parameters

Version

pallas_fq

using nil::crypto3::algebra::fields::pallas_fq = typedef pallas_base_field

pallas_fr

using nil::crypto3::algebra::fields::pallas_fr = typedef pallas_scalar_field

secp_k1_fq

template<std::size_t Version>

using nil::crypto3::algebra::fields::secp_k1_fq = typedef secp_k1_base_field<Version>

secp_k1_fr

template<std::size_t Version>

using nil::crypto3::algebra::fields::secp_k1_fr = typedef secp_k1_scalar_field<Version>

secp_r1_fq

template<std::size_t Version>

using nil::crypto3::algebra::fields::secp_r1_fq = typedef secp_r1_base_field<Version>

secp_r1_fr

template<std::size_t Version>

using nil::crypto3::algebra::fields::secp_r1_fr = typedef secp_r1_scalar_field<Version>

sect_k1_fq

template<std::size_t Version>

using nil::crypto3::algebra::fields::sect_k1_fq = typedef sect_k1_base_field<Version>

sect_k1_fr

template<std::size_t Version>

using nil::crypto3::algebra::fields::sect_k1_fr = typedef sect_k1_scalar_field<Version>

sm2p_v1

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::sm2p_v1 = typedef sm2p_v1_base_field<Version>

sm2p_v1_fq

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::sm2p_v1_fq = typedef sm2p_v1_base_field<Version>

sm2p_v1_fr

template<std::size_t Version = 256>

using nil::crypto3::algebra::fields::sm2p_v1_fr = typedef sm2p_v1_scalar_field<Version>

vesta_fq

using nil::crypto3::algebra::fields::vesta_fq = typedef vesta_base_field

vesta_fr

using nil::crypto3::algebra::fields::vesta_fr = typedef vesta_scalar_field

x962_p_v1

template<std::size_t Version = 239>

using nil::crypto3::algebra::fields::x962_p_v1 = typedef x962_p_v1_base_field<Version>

x962_p_v1_fq

template<std::size_t Version = 239>

using nil::crypto3::algebra::fields::x962_p_v1_fq = typedef x962_p_v1_base_field<Version>

x962_p_v1_fr

template<std::size_t Version = 239>

using nil::crypto3::algebra::fields::x962_p_v1_fr = typedef x962_p_v1_scalar_field_field<Version>

x962_p_v2

template<std::size_t Version = 192>

using nil::crypto3::algebra::fields::x962_p_v2 = typedef x962_p_v2_base_field<Version>

x962_p_v2_fq

template<std::size_t Version = 192>

using nil::crypto3::algebra::fields::x962_p_v2_fq = typedef x962_p_v2_base_field<Version>

x962_p_v2_fr

template<std::size_t Version = 192>

using nil::crypto3::algebra::fields::x962_p_v2_fr = typedef x962_p_v2_scalar_field_field<Version>

x962_p_v3

template<std::size_t Version = 192>

using nil::crypto3::algebra::fields::x962_p_v3 = typedef x962_p_v3_base_field<Version>

x962_p_v3_fq

template<std::size_t Version = 192>

using nil::crypto3::algebra::fields::x962_p_v3_fq = typedef x962_p_v3_base_field<Version>

x962_p_v3_fr

template<std::size_t Version = 192>

using nil::crypto3::algebra::fields::x962_p_v3_fr = typedef x962_p_v3_scalar_field_field<Version>