Index

A

add() (in module py_ecc.bls12_381.bls12_381_curve) (in module py_ecc.bn128.bn128_curve) (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve) (in module py_ecc.secp256k1.secp256k1)

Aggregate() (py_ecc.bls.ciphersuites.BaseG2Ciphersuite class method) AggregateVerify() (py_ecc.bls.ciphersuites.BaseG2Ciphersuite class method) (py_ecc.bls.ciphersuites.G2Basic class method) (py_ecc.bls.ciphersuites.G2MessageAugmentation class method) (py_ecc.bls.ciphersuites.G2ProofOfPossession class method)

B

BaseG2Ciphersuite (class in py_ecc.bls.ciphersuites) bls12_381_FQ (class in py_ecc.fields) bls12_381_FQ12 (class in py_ecc.fields) bls12_381_FQ2 (class in py_ecc.fields) bls12_381_FQP (class in py_ecc.fields)

bn128_FQ (class in py_ecc.fields) bn128_FQ12 (class in py_ecc.fields) bn128_FQ2 (class in py_ecc.fields) bn128_FQP (class in py_ecc.fields) bytes_to_int() (in module py_ecc.secp256k1.secp256k1)

C

cast_point_to_fq12() (in module py_ecc.bls12_381.bls12_381_pairing) (in module py_ecc.bn128.bn128_pairing) (in module py_ecc.optimized_bls12_381.optimized_pairing) (in module py_ecc.optimized_bn128.optimized_pairing)

clear_cofactor_G1() (in module py_ecc.bls.hash_to_curve) clear_cofactor_G2() (in module py_ecc.bls.hash_to_curve) compress_G1() (in module py_ecc.bls.point_compression) compress_G2() (in module py_ecc.bls.point_compression) Curve_Field_Properties (class in py_ecc.fields.field_properties)

D

decompress_G1() (in module py_ecc.bls.point_compression) decompress_G2() (in module py_ecc.bls.point_compression) degree (py_ecc.fields.field_elements.FQ12 attribute) (py_ecc.fields.field_elements.FQ2 attribute) (py_ecc.fields.field_elements.FQP attribute) (py_ecc.fields.optimized_field_elements.FQ12 attribute) (py_ecc.fields.optimized_field_elements.FQ2 attribute) (py_ecc.fields.optimized_field_elements.FQP attribute)

deterministic_generate_k() (in module py_ecc.secp256k1.secp256k1) double() (in module py_ecc.bls12_381.bls12_381_curve) (in module py_ecc.bn128.bn128_curve) (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve) DST (py_ecc.bls.ciphersuites.BaseG2Ciphersuite attribute) (py_ecc.bls.ciphersuites.G2Basic attribute) (py_ecc.bls.ciphersuites.G2MessageAugmentation attribute) (py_ecc.bls.ciphersuites.G2ProofOfPossession attribute)

E

ecdsa_raw_recover() (in module py_ecc.secp256k1.secp256k1) ecdsa_raw_sign() (in module py_ecc.secp256k1.secp256k1) eq() (in module py_ecc.bls12_381.bls12_381_curve) (in module py_ecc.bn128.bn128_curve) (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve)

exp_by_p() (in module py_ecc.optimized_bls12_381.optimized_pairing) expand_message_xmd() (in module py_ecc.bls.hash)

F

FastAggregateVerify() (py_ecc.bls.ciphersuites.G2ProofOfPossession class method) field_modulus (py_ecc.fields.bls12_381_FQ attribute) (py_ecc.fields.bls12_381_FQ12 attribute) (py_ecc.fields.bls12_381_FQ2 attribute) (py_ecc.fields.bls12_381_FQP attribute) (py_ecc.fields.bn128_FQ attribute) (py_ecc.fields.bn128_FQ12 attribute) (py_ecc.fields.bn128_FQ2 attribute) (py_ecc.fields.bn128_FQP attribute) (py_ecc.fields.field_elements.FQ attribute) (py_ecc.fields.field_elements.FQP attribute) (py_ecc.fields.field_properties.Curve_Field_Properties attribute) (py_ecc.fields.optimized_bls12_381_FQ attribute) (py_ecc.fields.optimized_bls12_381_FQ12 attribute) (py_ecc.fields.optimized_bls12_381_FQ2 attribute) (py_ecc.fields.optimized_bls12_381_FQP attribute) (py_ecc.fields.optimized_bn128_FQ attribute) (py_ecc.fields.optimized_bn128_FQ12 attribute) (py_ecc.fields.optimized_bn128_FQ2 attribute) (py_ecc.fields.optimized_bn128_FQP attribute) (py_ecc.fields.optimized_field_elements.FQ attribute) (py_ecc.fields.optimized_field_elements.FQP attribute) final_exponentiate() (in module py_ecc.bls12_381.bls12_381_pairing) (in module py_ecc.bn128.bn128_pairing) (in module py_ecc.optimized_bls12_381.optimized_pairing) (in module py_ecc.optimized_bn128.optimized_pairing)

FQ (class in py_ecc.fields.field_elements) (class in py_ecc.fields.optimized_field_elements) FQ12 (class in py_ecc.fields.field_elements) (class in py_ecc.fields.optimized_field_elements) FQ12_MODULUS_COEFFS (py_ecc.fields.bls12_381_FQ12 attribute) (py_ecc.fields.bn128_FQ12 attribute) (py_ecc.fields.field_elements.FQ12 attribute) fq12_modulus_coeffs (py_ecc.fields.field_properties.Curve_Field_Properties attribute) FQ12_MODULUS_COEFFS (py_ecc.fields.optimized_bls12_381_FQ12 attribute) (py_ecc.fields.optimized_bn128_FQ12 attribute) (py_ecc.fields.optimized_field_elements.FQ12 attribute) FQ2 (class in py_ecc.fields.field_elements) (class in py_ecc.fields.optimized_field_elements) FQ2_MODULUS_COEFFS (py_ecc.fields.bls12_381_FQ2 attribute) (py_ecc.fields.bn128_FQ2 attribute) (py_ecc.fields.field_elements.FQ2 attribute) fq2_modulus_coeffs (py_ecc.fields.field_properties.Curve_Field_Properties attribute) FQ2_MODULUS_COEFFS (py_ecc.fields.optimized_bls12_381_FQ2 attribute) (py_ecc.fields.optimized_bn128_FQ2 attribute) (py_ecc.fields.optimized_field_elements.FQ2 attribute) FQP (class in py_ecc.fields.field_elements) (class in py_ecc.fields.optimized_field_elements) from_jacobian() (in module py_ecc.secp256k1.secp256k1)

G

G1_to_pubkey() (in module py_ecc.bls.g2_primitives) G2_to_signature() (in module py_ecc.bls.g2_primitives) G2Basic (class in py_ecc.bls.ciphersuites)

G2MessageAugmentation (class in py_ecc.bls.ciphersuites) G2ProofOfPossession (class in py_ecc.bls.ciphersuites) get_flags() (in module py_ecc.bls.point_compression)

H

hash_to_field_FQ() (in module py_ecc.bls.hash_to_curve) hash_to_field_FQ2() (in module py_ecc.bls.hash_to_curve) hash_to_G1() (in module py_ecc.bls.hash_to_curve)

hash_to_G2() (in module py_ecc.bls.hash_to_curve) hkdf_expand() (in module py_ecc.bls.hash) hkdf_extract() (in module py_ecc.bls.hash)

I

i2osp() (in module py_ecc.bls.hash) inv() (in module py_ecc.secp256k1.secp256k1) (py_ecc.fields.field_elements.FQP method) (py_ecc.fields.optimized_field_elements.FQP method) is_inf() (in module py_ecc.bls12_381.bls12_381_curve) (in module py_ecc.bn128.bn128_curve) (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve)

is_on_curve() (in module py_ecc.bls12_381.bls12_381_curve) (in module py_ecc.bn128.bn128_curve) (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve) is_point_at_infinity() (in module py_ecc.bls.point_compression) iso_map_G1() (in module py_ecc.optimized_bls12_381.optimized_swu) iso_map_G2() (in module py_ecc.optimized_bls12_381.optimized_swu)

J

jacobian_add() (in module py_ecc.secp256k1.secp256k1)

jacobian_double() (in module py_ecc.secp256k1.secp256k1) jacobian_multiply() (in module py_ecc.secp256k1.secp256k1)

K

KeyGen() (py_ecc.bls.ciphersuites.BaseG2Ciphersuite class method)

KeyValidate() (py_ecc.bls.ciphersuites.BaseG2Ciphersuite static method)

L

linefunc() (in module py_ecc.bls12_381.bls12_381_pairing) (in module py_ecc.bn128.bn128_pairing) (in module py_ecc.optimized_bls12_381.optimized_pairing) (in module py_ecc.optimized_bn128.optimized_pairing)

M

map_to_curve_G1() (in module py_ecc.bls.hash_to_curve) map_to_curve_G2() (in module py_ecc.bls.hash_to_curve) mc_tuples (py_ecc.fields.optimized_field_elements.FQP attribute) miller_loop() (in module py_ecc.bls12_381.bls12_381_pairing) (in module py_ecc.bn128.bn128_pairing) (in module py_ecc.optimized_bls12_381.optimized_pairing) (in module py_ecc.optimized_bn128.optimized_pairing) mod_int() (in module py_ecc.fields.optimized_field_elements) modular_squareroot_in_FQ2() (in module py_ecc.bls.point_compression) module py_ecc.bls py_ecc.bls.ciphersuites py_ecc.bls.constants py_ecc.bls.g2_primitives py_ecc.bls.hash py_ecc.bls.hash_to_curve py_ecc.bls.point_compression py_ecc.bls.typing py_ecc.bls12_381 py_ecc.bls12_381.bls12_381_curve py_ecc.bls12_381.bls12_381_pairing py_ecc.bn128 py_ecc.bn128.bn128_curve py_ecc.bn128.bn128_pairing py_ecc.fields py_ecc.fields.field_elements py_ecc.fields.field_properties py_ecc.fields.optimized_field_elements py_ecc.optimized_bls12_381 py_ecc.optimized_bls12_381.constants py_ecc.optimized_bls12_381.optimized_clear_cofactor py_ecc.optimized_bls12_381.optimized_curve py_ecc.optimized_bls12_381.optimized_pairing py_ecc.optimized_bls12_381.optimized_swu py_ecc.optimized_bn128 py_ecc.optimized_bn128.optimized_curve py_ecc.optimized_bn128.optimized_pairing py_ecc.secp256k1 py_ecc.secp256k1.secp256k1

multiply() (in module py_ecc.bls12_381.bls12_381_curve) (in module py_ecc.bn128.bn128_curve) (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve) (in module py_ecc.secp256k1.secp256k1) multiply_clear_cofactor_G1() (in module py_ecc.optimized_bls12_381.optimized_clear_cofactor) multiply_clear_cofactor_G2() (in module py_ecc.optimized_bls12_381.optimized_clear_cofactor)

N

n (py_ecc.fields.field_elements.FQ attribute) (py_ecc.fields.optimized_field_elements.FQ attribute) neg() (in module py_ecc.bls12_381.bls12_381_curve) (in module py_ecc.bn128.bn128_curve) (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve)

normalize() (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve) normalize1() (in module py_ecc.optimized_bls12_381.optimized_pairing) (in module py_ecc.optimized_bn128.optimized_pairing)

O

one() (py_ecc.fields.field_elements.FQ class method) (py_ecc.fields.field_elements.FQP class method) (py_ecc.fields.optimized_field_elements.FQ class method) (py_ecc.fields.optimized_field_elements.FQP class method) optimized_bls12_381_FQ (class in py_ecc.fields) optimized_bls12_381_FQ12 (class in py_ecc.fields) optimized_bls12_381_FQ2 (class in py_ecc.fields) optimized_bls12_381_FQP (class in py_ecc.fields)

optimized_bn128_FQ (class in py_ecc.fields) optimized_bn128_FQ12 (class in py_ecc.fields) optimized_bn128_FQ2 (class in py_ecc.fields) optimized_bn128_FQP (class in py_ecc.fields) optimized_poly_rounded_div() (py_ecc.fields.optimized_field_elements.FQP method) optimized_swu_G1() (in module py_ecc.optimized_bls12_381.optimized_swu) optimized_swu_G2() (in module py_ecc.optimized_bls12_381.optimized_swu) os2ip() (in module py_ecc.bls.hash)

P

pairing() (in module py_ecc.bls12_381.bls12_381_pairing) (in module py_ecc.bn128.bn128_pairing) (in module py_ecc.optimized_bls12_381.optimized_pairing) (in module py_ecc.optimized_bn128.optimized_pairing) POP_TAG (py_ecc.bls.ciphersuites.G2ProofOfPossession attribute) PopProve() (py_ecc.bls.ciphersuites.G2ProofOfPossession class method) PopVerify() (py_ecc.bls.ciphersuites.G2ProofOfPossession class method) privtopub() (in module py_ecc.secp256k1.secp256k1) pubkey_to_G1() (in module py_ecc.bls.g2_primitives) py_ecc.bls module py_ecc.bls.ciphersuites module py_ecc.bls.constants module py_ecc.bls.g2_primitives module py_ecc.bls.hash module py_ecc.bls.hash_to_curve module py_ecc.bls.point_compression module py_ecc.bls.typing module py_ecc.bls12_381 module py_ecc.bls12_381.bls12_381_curve module py_ecc.bls12_381.bls12_381_pairing module py_ecc.bn128 module

py_ecc.bn128.bn128_curve module py_ecc.bn128.bn128_pairing module py_ecc.fields module py_ecc.fields.field_elements module py_ecc.fields.field_properties module py_ecc.fields.optimized_field_elements module py_ecc.optimized_bls12_381 module py_ecc.optimized_bls12_381.constants module py_ecc.optimized_bls12_381.optimized_clear_cofactor module py_ecc.optimized_bls12_381.optimized_curve module py_ecc.optimized_bls12_381.optimized_pairing module py_ecc.optimized_bls12_381.optimized_swu module py_ecc.optimized_bn128 module py_ecc.optimized_bn128.optimized_curve module py_ecc.optimized_bn128.optimized_pairing module py_ecc.secp256k1 module py_ecc.secp256k1.secp256k1 module

S

safe_ord() (in module py_ecc.secp256k1.secp256k1) sgn0 (py_ecc.fields.optimized_field_elements.FQ property) (py_ecc.fields.optimized_field_elements.FQ2 property) (py_ecc.fields.optimized_field_elements.FQP property) sha256() (in module py_ecc.bls.hash) Sign() (py_ecc.bls.ciphersuites.BaseG2Ciphersuite class method) (py_ecc.bls.ciphersuites.G2MessageAugmentation class method)

signature_to_G2() (in module py_ecc.bls.g2_primitives) SkToPk() (py_ecc.bls.ciphersuites.BaseG2Ciphersuite class method) sqrt_division_FQ() (in module py_ecc.optimized_bls12_381.optimized_swu) sqrt_division_FQ2() (in module py_ecc.optimized_bls12_381.optimized_swu) subgroup_check() (in module py_ecc.bls.g2_primitives)

T

to_jacobian() (in module py_ecc.secp256k1.secp256k1) twist() (in module py_ecc.bls12_381.bls12_381_curve) (in module py_ecc.bn128.bn128_curve) (in module py_ecc.optimized_bls12_381.optimized_curve) (in module py_ecc.optimized_bn128.optimized_curve)

V

Verify() (py_ecc.bls.ciphersuites.BaseG2Ciphersuite class method) (py_ecc.bls.ciphersuites.G2MessageAugmentation class method)

X

xmd_hash_function() (py_ecc.bls.ciphersuites.BaseG2Ciphersuite method)

xor() (in module py_ecc.bls.hash)

Z

zero() (py_ecc.fields.field_elements.FQ class method) (py_ecc.fields.field_elements.FQP class method) (py_ecc.fields.optimized_field_elements.FQ class method) (py_ecc.fields.optimized_field_elements.FQP class method)