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struct | alt_bn128_g1 |
| A struct representing a group G1 of Barreto-Naehrig curve. More...
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struct | alt_bn128_g1_params |
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struct | alt_bn128_g1_params< 254, forms::short_weierstrass > |
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struct | alt_bn128_g2 |
| A struct representing a group G2 of Barreto-Naehrig curve. More...
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struct | alt_bn128_g2_params |
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struct | alt_bn128_g2_params< 254, forms::short_weierstrass > |
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struct | alt_bn128_params |
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struct | alt_bn128_params< 254, forms::short_weierstrass > |
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struct | alt_bn128_types |
| A struct representing details about base and scalar fields. More...
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struct | babyjubjub_g1 |
| A struct representing a group G1 of BabyJubJub curve. More...
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struct | babyjubjub_g1_params |
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struct | babyjubjub_g1_params< forms::montgomery > |
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struct | babyjubjub_g1_params< forms::twisted_edwards > |
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struct | babyjubjub_params |
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struct | babyjubjub_params< forms::montgomery > |
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struct | babyjubjub_params< forms::twisted_edwards > |
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struct | babyjubjub_types |
| A struct representing details about base and scalar fields of the size 183 bits and 181 bits respectively. Corresponds to BabyJubJub twisted Edwards elliptic curve defined over alt_bn128 scalar field and described by equation ax^2. More...
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struct | bls12_g1 |
| A struct representing a group G1 of BLS12 curve. More...
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struct | bls12_g1_params |
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struct | bls12_g1_params< 377, forms::short_weierstrass > |
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struct | bls12_g1_params< 381, forms::short_weierstrass > |
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struct | bls12_g2 |
| A struct representing a group G2 of BLS12 curve. More...
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struct | bls12_g2_params |
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struct | bls12_g2_params< 377, forms::short_weierstrass > |
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struct | bls12_g2_params< 381, forms::short_weierstrass > |
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struct | bls12_params |
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struct | bls12_params< 377, forms::short_weierstrass > |
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struct | bls12_params< 381, forms::short_weierstrass > |
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struct | bls12_types |
| A struct representing details about base and scalar fields. More...
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struct | curve25519_g1 |
| A struct representing a group G1 of curve25519 curve. More...
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struct | curve25519_g1_params |
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struct | curve25519_g1_params< forms::montgomery > |
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struct | curve25519_g1_params< forms::twisted_edwards > |
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struct | curve25519_params |
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struct | curve25519_params< forms::montgomery > |
| https://neuromancer.sk/std/other/Curve25519# More...
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struct | curve25519_params< forms::twisted_edwards > |
| https://neuromancer.sk/std/other/Ed25519# More...
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struct | curve25519_types |
| A struct representing details about base and scalar fields. More...
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struct | curve_element |
| A struct representing a group G1 of elliptic curve. More...
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struct | curve_element< CurveParams, forms::edwards, coordinates::inverted > |
| A struct representing an element from the group G1 of Edwards curve of inverted coordinates representation. Description: http://www.hyperelliptic.org/EFD/g1p/auto-edwards-inverted.html. More...
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struct | curve_element< CurveParams, forms::montgomery, coordinates::affine > |
| A struct representing an element from the group G1 of Montgomery curve of affine coordinates representation. Description: https://hyperelliptic.org/EFD/g1p/auto-montgom.html. More...
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struct | curve_element< CurveParams, forms::short_weierstrass, coordinates::affine > |
| A struct representing an element from the group G1 of short Weierstrass curve of affine coordinates representation. Description: https://hyperelliptic.org/EFD/g1p/auto-shortw.html. More...
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struct | curve_element< CurveParams, forms::short_weierstrass, coordinates::jacobian > |
| A struct representing an element from the group G1 of short Weierstrass curve of jacobian coordinates representation. Description: http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html. More...
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struct | curve_element< CurveParams, forms::short_weierstrass, coordinates::jacobian_with_a4_0 > |
| A struct representing an element from the group G1 of short Weierstrass curve of jacobian_with_a4_0 coordinates representation. Description: http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html. More...
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struct | curve_element< CurveParams, forms::short_weierstrass, coordinates::jacobian_with_a4_minus_3 > |
| A struct representing an element from the group G1 of short Weierstrass curve of jacobian_with_a4_minus_3 coordinates representation. Description: http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html. More...
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struct | curve_element< CurveParams, forms::short_weierstrass, coordinates::projective > |
| A struct representing an element from the group G1 of short Weierstrass curve of projective coordinates representation. Description: https://hyperelliptic.org/EFD/g1p/auto-shortw-projective.html. More...
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struct | curve_element< CurveParams, forms::short_weierstrass, coordinates::projective_with_a4_minus_3 > |
| A struct representing an element from the group G1 of short Weierstrass curve of projective_with_a4_minus_3 coordinates representation. Description: http://www.hyperelliptic.org/EFD/g1p/auto-shortw-projective-3.html. More...
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struct | curve_element< CurveParams, forms::twisted_edwards, coordinates::affine > |
| A struct representing an element from the group G1 of twisted Edwards curve of affine coordinates representation. Twisted Edwards curves introduced on https://eprint.iacr.org/2008/013.pdf Description: https://hyperelliptic.org/EFD/g1p/auto-twisted.html. More...
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struct | curve_element< CurveParams, forms::twisted_edwards, coordinates::extended_with_a_minus_1 > |
| A struct representing an element from the group G1 of twisted Edwards curve of extended coordinates with a=-1 coordinates representation. Description: https://hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html. More...
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struct | curve_element< CurveParams, forms::twisted_edwards, coordinates::inverted > |
| A struct representing an element from the group G1 of twisted Edwards curve of inverted coordinates representation. Description: http://www.hyperelliptic.org/EFD/g1p/auto-edwards-inverted.html. More...
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struct | edwards_basic_policy |
| A struct representing details about base and scalar fields. More...
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struct | edwards_basic_policy< 183 > |
| A struct representing details about base and scalar fields of the size 183 bits and 181 bits respectively. More...
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struct | edwards_element_g1_inverted_add_2007_bl |
| A struct representing element addition from the group G1 of Edwards curve for inversed coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-edwards-inverted.html#addition-add-2007-bl. More...
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struct | edwards_element_g1_inverted_dbl_2007_bl |
| A struct representing element doubling from the group G1 of Edwards curve for inversed coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-edwards-inverted.html#doubling-dbl-2007-bl. More...
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struct | edwards_element_g1_inverted_madd_2007_bl |
| A struct representing element addition from the group G1 of Edwards curve for inversed coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-edwards-inverted.html#addition-madd-2007-bl. More...
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struct | edwards_g1 |
| A struct representing a group G1 of Edwards curve. More...
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struct | edwards_g1_params |
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struct | edwards_g1_params< 183, forms::edwards > |
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struct | edwards_g1_params< 183, forms::twisted_edwards > |
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struct | edwards_g2 |
| A struct representing a group G2 of Edwards curve. More...
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struct | edwards_g2_params |
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struct | edwards_g2_params< 183, forms::edwards > |
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struct | edwards_g2_params< 183, forms::twisted_edwards > |
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struct | edwards_params |
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struct | edwards_params< 183, forms::edwards > |
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struct | edwards_params< 183, forms::twisted_edwards > |
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struct | edwards_types |
| A struct representing details about base and scalar fields. More...
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struct | element_edwards_g2 |
| A struct representing an element from the group G2 of Edwards curve. More...
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struct | element_edwards_g2< 183 > |
| A struct representing an elememnt from the group G2 of Edwards curve. More...
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struct | ep2_map |
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struct | ep_map |
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class | expand_message_xmd |
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struct | h2c_suite |
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struct | h2c_suite< typename bls12_381::g1_type<> > |
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struct | h2c_suite< typename bls12_381::g2_type<> > |
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struct | iso_map |
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class | iso_map< typename bls12_381::g1_type<> > |
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class | iso_map< typename bls12_381::g2_type<> > |
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struct | jubjub_g1 |
| A struct representing a group G1 of JubJub curve. More...
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struct | jubjub_g1_params |
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struct | jubjub_g1_params< forms::montgomery > |
|
struct | jubjub_g1_params< forms::twisted_edwards > |
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struct | jubjub_params |
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struct | jubjub_params< forms::montgomery > |
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struct | jubjub_params< forms::twisted_edwards > |
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struct | jubjub_types |
| A struct representing details about base and scalar fields of the corresponding size 183 bits and 181 bits respectively. Corresponds to JubJub twisted Edwards elliptic curve defined over Bls12-381 scalar field and described by equation ax^2. More...
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struct | m2c_simple_swu |
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struct | m2c_simple_swu_zeroAB |
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struct | map_to_curve |
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struct | map_to_curve< typename bls12_381::g1_type<> > |
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struct | map_to_curve< typename bls12_381::g2_type<> > |
|
struct | mnt4_g1 |
| A struct representing a group G1 of mnt4 curve. More...
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struct | mnt4_g1_params |
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struct | mnt4_g1_params< 298, forms::short_weierstrass > |
|
struct | mnt4_g2 |
| A struct representing a group G2 of mnt4 curve. More...
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struct | mnt4_g2_params |
|
struct | mnt4_g2_params< 298, forms::short_weierstrass > |
|
struct | mnt4_params |
|
struct | mnt4_params< 298, forms::short_weierstrass > |
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struct | mnt4_types |
| A struct representing details about base and scalar fields. More...
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|
struct | mnt6_g1 |
| A struct representing a group G1 of mnt6 curve. More...
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struct | mnt6_g1_params |
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struct | mnt6_g1_params< 298, forms::short_weierstrass > |
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struct | mnt6_g2 |
| A struct representing a group G2 of mnt6 curve. More...
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struct | mnt6_g2_params |
|
struct | mnt6_g2_params< 298, forms::short_weierstrass > |
|
struct | mnt6_params |
|
struct | mnt6_params< 298, forms::short_weierstrass > |
|
struct | mnt6_types |
| A struct representing details about base and scalar fields. More...
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|
struct | pairing_params |
|
struct | pairing_params< edwards< 183 > > |
|
struct | pallas_g1 |
| A struct representing a group G1 of pallas curve. More...
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struct | pallas_g1_params |
|
struct | pallas_g1_params< forms::short_weierstrass > |
|
struct | pallas_params |
|
struct | pallas_params< forms::short_weierstrass > |
| https://zips.z.cash/protocol/protocol.pdf#pallasandvesta More...
|
|
struct | pallas_types |
| A struct representing details about base and scalar fields. More...
|
|
struct | secp_k1_g1 |
| A struct representing a group G1 of SECP curves. More...
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struct | secp_k1_g1_params |
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struct | secp_k1_g1_params< 160, forms::short_weierstrass > |
|
struct | secp_k1_g1_params< 192, forms::short_weierstrass > |
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struct | secp_k1_g1_params< 224, forms::short_weierstrass > |
|
struct | secp_k1_g1_params< 256, forms::short_weierstrass > |
|
struct | secp_k1_params |
|
struct | secp_k1_params< 160, forms::short_weierstrass > |
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struct | secp_k1_params< 192, forms::short_weierstrass > |
|
struct | secp_k1_params< 224, forms::short_weierstrass > |
|
struct | secp_k1_params< 256, forms::short_weierstrass > |
|
struct | secp_k1_types |
| A struct representing details about base and scalar fields. More...
|
|
struct | secp_r1_g1 |
| A struct representing a group G1 of SECP curves. More...
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|
struct | secp_r1_g1_params |
|
struct | secp_r1_g1_params< 160, forms::short_weierstrass > |
|
struct | secp_r1_g1_params< 192, forms::short_weierstrass > |
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struct | secp_r1_g1_params< 224, forms::short_weierstrass > |
|
struct | secp_r1_g1_params< 256, forms::short_weierstrass > |
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struct | secp_r1_g1_params< 384, forms::short_weierstrass > |
|
struct | secp_r1_g1_params< 521, forms::short_weierstrass > |
|
struct | secp_r1_params |
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struct | secp_r1_params< 160, forms::short_weierstrass > |
|
struct | secp_r1_params< 192, forms::short_weierstrass > |
|
struct | secp_r1_params< 224, forms::short_weierstrass > |
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struct | secp_r1_params< 256, forms::short_weierstrass > |
|
struct | secp_r1_params< 384, forms::short_weierstrass > |
|
struct | secp_r1_params< 521, forms::short_weierstrass > |
|
struct | secp_r1_types |
| A struct representing details about base and scalar fields. More...
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|
struct | short_weierstrass_element_g1_jacobian_add_2007_bl |
| A struct representing element addition from the group G1 of short Weierstrass curve for jacobian_ coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-add-2007-bl. More...
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struct | short_weierstrass_element_g1_jacobian_dbl_2007_bl |
| A struct representing element doubling from the group G1 of short Weierstrass curve for jacobian_ coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#doubling-dbl-2007-bl. More...
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struct | short_weierstrass_element_g1_jacobian_madd_2007_bl |
| A struct representing element addition from the group G1 of short Weierstrass curve for jacobian coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-madd-2007-bl. More...
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struct | short_weierstrass_element_g1_jacobian_with_a4_0_add_2007_bl |
| A struct representing element addition from the group G1 of short Weierstrass curve for jacobian_with_a4_0 coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl. More...
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struct | short_weierstrass_element_g1_jacobian_with_a4_0_dbl_2009_l |
| A struct representing element doubling from the group G1 of short Weierstrass curve for jacobian_with_a4_0 coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l. More...
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struct | short_weierstrass_element_g1_jacobian_with_a4_0_madd_2007_bl |
| A struct representing element addition from the group G1 of short Weierstrass curve for jacobian_with_a4_0 coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-madd-2007-bl. More...
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struct | short_weierstrass_element_g1_jacobian_with_a4_minus_3_add_2007_bl |
| A struct representing element addition from the group G1 of short Weierstrass curve for jacobian_with_a4_minus_3 coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl. More...
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struct | short_weierstrass_element_g1_jacobian_with_a4_minus_3_dbl_2007_bl |
| A struct representing element doubling from the group G1 of short Weierstrass curve for jacobian_with_a4_minus_3 coordinates representation. NOTE: does not handle O and pts of order 2,4 http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-madd-2007-bl. More...
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struct | short_weierstrass_element_g1_jacobian_with_a4_minus_3_madd_2007_bl |
| A struct representing element addition from the group G1 of short Weierstrass curve for jacobian_with_a4_minus_3 coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-madd-2007-bl. More...
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struct | short_weierstrass_element_g1_projective_add_1998_cmo_2 |
| A struct representing element addition from the group G1 of short Weierstrass curve for projective coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-projective.html#addition-add-1998-cmo-2. More...
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struct | short_weierstrass_element_g1_projective_dbl_2007_bl |
| A struct representing element doubling from the group G1 of short Weierstrass curve for projective coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-projective.html#doubling-dbl-2007-bl. More...
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struct | short_weierstrass_element_g1_projective_with_a4_minus_3_add_1998_cmo_2 |
| A struct representing element addition from the group G1 of short Weierstrass curve for projective_with_a4_minus_3 coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-projective-3.html#addition-add-1998-cmo-2. More...
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struct | short_weierstrass_element_g1_projective_with_a4_minus_3_dbl_2007_bl |
| A struct representing element doubling from the group G1 of short Weierstrass curve for projective_with_a4_minus_3 coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-shortw-projective-3.html#doubling-dbl-2007-bl. More...
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struct | twisted_edwards_element_g1_extended_with_a_minus_1_add_2008_hwcd_3 |
| A struct representing element addition from the group G1 of twisted Edwards curve for extended coordinates with a=-1 representation. https://hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#addition-add-2008-hwcd-3 https://datatracker.ietf.org/doc/html/rfc8032#section-5.1.4. More...
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struct | twisted_edwards_element_g1_extended_with_a_minus_1_dbl_2008_hwcd |
| A struct representing element doubling from the group G1 of twisted Edwards curve for extended coordinates with a=-1 representation. https://hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#doubling-dbl-2008-hwcd https://datatracker.ietf.org/doc/html/rfc8032#section-5.1.4. More...
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struct | twisted_edwards_element_g1_extended_with_a_minus_1_madd_2008_hwcd_2 |
| A struct representing element addition from the group G1 of twisted Edwards curve for extended coordinates with a=-1 representation. https://hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html#addition-madd-2008-hwcd-2. More...
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struct | twisted_edwards_element_g1_inverted_add_2008_bbjlp |
| A struct representing element addition from the group G1 of twisted Edwards curve for inversed coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-twisted-inverted.html#addition-add-2008-bbjlp. More...
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|
struct | twisted_edwards_element_g1_inverted_dbl_2008_bbjlp |
| A struct representing element doubling from the group G1 of twisted Edwards curve for inversed coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-twisted-inverted.html#doubling-dbl-2008-bbjlp. More...
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struct | twisted_edwards_element_g1_inverted_madd_2008_bbjlp |
| A struct representing element addition from the group G1 of twisted Edwards curve for inversed coordinates representation. NOTE: does not handle O and pts of order 2,4 http://www.hyperelliptic.org/EFD/g1p/auto-twisted-inverted.html#addition-madd-2008-bbjlp. More...
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|
struct | vesta_g1 |
| A struct representing a group G1 of vesta curve. More...
|
|
struct | vesta_g1_params |
|
struct | vesta_g1_params< forms::short_weierstrass > |
|
struct | vesta_params |
|
struct | vesta_params< forms::short_weierstrass > |
| https://zips.z.cash/protocol/protocol.pdf#pallasandvesta More...
|
|
struct | vesta_types |
| A struct representing details about base and scalar fields. More...
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|
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template<typename GroupValueType , typename FieldValueType > |
std::enable_if< is_curve_group< typename GroupValueType::group_type >::value &&!is_field< typename GroupValueType::group_type >::value &&is_field< typename FieldValueType::field_type >::value &&!is_extended_field< typename FieldValueType::field_type >::value, GroupValueType >::type | operator* (const FieldValueType &left, const GroupValueType &right) |
|
template<typename GroupValueType , typename FieldValueType > |
std::enable_if< is_curve_group< typename GroupValueType::group_type >::value &&!is_field< typename GroupValueType::group_type >::value &&is_field< typename FieldValueType::field_type >::value &&!is_extended_field< typename FieldValueType::field_type >::value, GroupValueType >::type | operator* (const GroupValueType &left, const FieldValueType &right) |
|
template<typename GroupValueType , typename Backend , multiprecision::expression_template_option ExpressionTemplates> |
constexpr GroupValueType | operator* (const GroupValueType &left, const multiprecision::number< Backend, ExpressionTemplates > &right) |
|
template<typename GroupValueType , typename Backend , typename SafeType , multiprecision::expression_template_option ExpressionTemplates> |
constexpr GroupValueType | operator* (const GroupValueType &left, const multiprecision::number< nil::crypto3::multiprecision::backends::modular_adaptor< Backend, SafeType >, ExpressionTemplates > &right) |
|
template<typename GroupValueType > |
constexpr GroupValueType | operator* (const GroupValueType &left, const std::size_t &right) |
|
template<typename GroupValueType , typename Backend , multiprecision::expression_template_option ExpressionTemplates> |
constexpr GroupValueType | operator* (const multiprecision::number< Backend, ExpressionTemplates > &left, const GroupValueType &right) |
|
template<typename GroupValueType > |
constexpr GroupValueType | operator* (const std::size_t &left, const GroupValueType &right) |
|
template<typename GroupValueType , typename Backend , multiprecision::expression_template_option ExpressionTemplates> |
constexpr GroupValueType | scalar_mul (const GroupValueType &base, const multiprecision::number< Backend, ExpressionTemplates > &scalar) |
|
template<typename FieldParams > |
bool | sgn0 (const element_fp2< FieldParams > &e) |
|
template<typename FieldParams > |
bool | sgn0 (const element_fp< FieldParams > &e) |
|
template<typename GroupValueType , typename = typename std::enable_if< is_curve_group<typename GroupValueType::group_type>::value && !is_field<typename GroupValueType::group_type>::value>::type> |
bool | subgroup_check (const GroupValueType &p) |
|