2020-05-11 17:18:49 +00:00
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from py_ecc.bls import G2ProofOfPossession as py_ecc_bls
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2024-05-17 06:38:58 +00:00
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from py_ecc.bls.g2_primitives import signature_to_G2 as _signature_to_G2
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2024-09-27 12:19:04 +00:00
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from py_ecc.utils import prime_field_inv as py_ecc_prime_field_inv
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2022-07-13 10:14:05 +00:00
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from py_ecc.optimized_bls12_381 import ( # noqa: F401
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2023-03-02 20:49:10 +00:00
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G1 as py_ecc_G1,
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G2 as py_ecc_G2,
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Z1 as py_ecc_Z1,
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2024-01-05 12:31:09 +00:00
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Z2 as py_ecc_Z2,
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2023-03-02 20:49:10 +00:00
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add as py_ecc_add,
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multiply as py_ecc_mul,
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neg as py_ecc_neg,
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pairing as py_ecc_pairing,
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final_exponentiate as py_ecc_final_exponentiate,
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FQ12 as py_ecc_GT,
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2024-04-27 04:11:29 +00:00
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FQ,
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FQ2,
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2022-07-13 10:14:05 +00:00
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)
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from py_ecc.bls.g2_primitives import ( # noqa: F401
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2023-03-07 08:52:09 +00:00
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curve_order as BLS_MODULUS,
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2023-03-02 20:49:10 +00:00
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G1_to_pubkey as py_ecc_G1_to_bytes48,
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pubkey_to_G1 as py_ecc_bytes48_to_G1,
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G2_to_signature as py_ecc_G2_to_bytes96,
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signature_to_G2 as py_ecc_bytes96_to_G2,
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)
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from py_arkworks_bls12381 import (
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G1Point as arkworks_G1,
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G2Point as arkworks_G2,
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Scalar as arkworks_Scalar,
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GT as arkworks_GT,
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2022-07-13 10:14:05 +00:00
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)
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2020-05-11 17:18:49 +00:00
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import milagro_bls_binding as milagro_bls # noqa: F401 for BLS switching option
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2019-05-13 21:15:02 +00:00
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2023-03-02 20:49:10 +00:00
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import py_arkworks_bls12381 as arkworks_bls # noqa: F401 for BLS switching option
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2024-09-27 12:19:04 +00:00
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class py_ecc_Scalar(FQ):
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field_modulus = BLS_MODULUS
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def __init__(self, value):
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"""
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Force underlying value to be a native integer.
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"""
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super().__init__(int(value))
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def pow(self, exp):
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"""
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Raises the self to the power of the given exponent.
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"""
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return self**int(exp)
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def inverse(self):
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"""
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Computes the modular inverse of self.
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"""
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return py_ecc_Scalar(py_ecc_prime_field_inv(self.n, self.field_modulus))
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2023-03-02 20:49:10 +00:00
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class fastest_bls:
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G1 = arkworks_G1
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G2 = arkworks_G2
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Scalar = arkworks_Scalar
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GT = arkworks_GT
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_AggregatePKs = milagro_bls._AggregatePKs
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Sign = milagro_bls.Sign
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Verify = milagro_bls.Verify
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Aggregate = milagro_bls.Aggregate
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AggregateVerify = milagro_bls.AggregateVerify
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FastAggregateVerify = milagro_bls.FastAggregateVerify
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SkToPk = milagro_bls.SkToPk
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2019-05-13 21:15:02 +00:00
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# Flag to make BLS active or not. Used for testing, do not ignore BLS in production unless you know what you are doing.
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bls_active = True
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2023-10-16 09:43:23 +00:00
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# Default to fastest_bls
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bls = fastest_bls
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2024-09-27 12:19:04 +00:00
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Scalar = fastest_bls.Scalar
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2020-05-11 17:18:49 +00:00
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2019-05-21 20:28:47 +00:00
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STUB_SIGNATURE = b'\x11' * 96
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STUB_PUBKEY = b'\x22' * 48
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2021-08-05 04:09:30 +00:00
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G2_POINT_AT_INFINITY = b'\xc0' + b'\x00' * 95
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STUB_COORDINATES = _signature_to_G2(G2_POINT_AT_INFINITY)
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2019-05-13 21:15:02 +00:00
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2019-05-21 20:28:47 +00:00
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2020-07-23 23:19:14 +00:00
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def use_milagro():
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"""
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Shortcut to use Milagro as BLS library
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"""
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global bls
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bls = milagro_bls
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2024-09-27 12:19:04 +00:00
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global Scalar
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Scalar = py_ecc_Scalar
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2020-07-23 23:19:14 +00:00
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2023-03-02 20:49:10 +00:00
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def use_arkworks():
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"""
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Shortcut to use Arkworks as BLS library
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"""
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global bls
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bls = arkworks_bls
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2024-09-27 12:19:04 +00:00
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global Scalar
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Scalar = arkworks_Scalar
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2023-03-02 20:49:10 +00:00
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2020-07-23 23:19:14 +00:00
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def use_py_ecc():
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"""
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Shortcut to use Py-ecc as BLS library
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"""
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global bls
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bls = py_ecc_bls
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2024-09-27 12:19:04 +00:00
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global Scalar
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Scalar = py_ecc_Scalar
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2020-07-23 23:19:14 +00:00
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2023-03-02 20:49:10 +00:00
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def use_fastest():
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"""
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Shortcut to use Milagro for signatures and Arkworks for other BLS operations
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"""
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global bls
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bls = fastest_bls
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2024-09-27 12:19:04 +00:00
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global Scalar
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Scalar = fastest_bls.Scalar
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2023-03-02 20:49:10 +00:00
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2019-05-21 20:28:47 +00:00
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def only_with_bls(alt_return=None):
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"""
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Decorator factory to make a function only run when BLS is active. Otherwise return the default.
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"""
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def runner(fn):
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def entry(*args, **kw):
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if bls_active:
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return fn(*args, **kw)
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else:
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return alt_return
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return entry
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return runner
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@only_with_bls(alt_return=True)
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2019-12-17 10:04:56 +00:00
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def Verify(PK, message, signature):
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2020-05-14 16:45:26 +00:00
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try:
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2023-03-02 20:49:10 +00:00
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if bls == arkworks_bls: # no signature API in arkworks
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result = py_ecc_bls.Verify(PK, message, signature)
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else:
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result = bls.Verify(PK, message, signature)
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2020-05-14 16:45:26 +00:00
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except Exception:
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result = False
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finally:
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return result
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2019-12-17 10:04:56 +00:00
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2019-12-17 13:33:37 +00:00
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@only_with_bls(alt_return=True)
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2020-05-09 03:48:48 +00:00
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def AggregateVerify(pubkeys, messages, signature):
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2020-05-14 16:45:26 +00:00
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try:
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2023-03-02 20:49:10 +00:00
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if bls == arkworks_bls: # no signature API in arkworks
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result = py_ecc_bls.AggregateVerify(list(pubkeys), list(messages), signature)
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else:
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result = bls.AggregateVerify(list(pubkeys), list(messages), signature)
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2020-05-14 16:45:26 +00:00
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except Exception:
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result = False
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finally:
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return result
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2019-05-13 21:15:02 +00:00
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2019-05-21 20:28:47 +00:00
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@only_with_bls(alt_return=True)
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2020-05-09 03:48:48 +00:00
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def FastAggregateVerify(pubkeys, message, signature):
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2020-05-14 16:45:26 +00:00
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try:
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2023-03-02 20:49:10 +00:00
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if bls == arkworks_bls: # no signature API in arkworks
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result = py_ecc_bls.FastAggregateVerify(list(pubkeys), message, signature)
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else:
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result = bls.FastAggregateVerify(list(pubkeys), message, signature)
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2020-05-14 16:45:26 +00:00
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except Exception:
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result = False
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finally:
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return result
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2019-05-13 21:15:02 +00:00
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2019-05-21 20:28:47 +00:00
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@only_with_bls(alt_return=STUB_SIGNATURE)
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2019-12-17 10:04:56 +00:00
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def Aggregate(signatures):
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2023-03-02 20:49:10 +00:00
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if bls == arkworks_bls: # no signature API in arkworks
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return py_ecc_bls.Aggregate(signatures)
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2020-01-07 19:52:20 +00:00
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return bls.Aggregate(signatures)
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2019-05-15 16:37:11 +00:00
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2019-05-21 20:28:47 +00:00
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@only_with_bls(alt_return=STUB_SIGNATURE)
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2019-12-17 10:04:56 +00:00
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def Sign(SK, message):
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2023-03-02 20:49:10 +00:00
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if bls == arkworks_bls: # no signature API in arkworks
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return py_ecc_bls.Sign(SK, message)
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elif bls == py_ecc_bls:
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2020-05-11 17:18:49 +00:00
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return bls.Sign(SK, message)
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else:
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2020-05-20 17:35:40 +00:00
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return bls.Sign(SK.to_bytes(32, 'big'), message)
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2019-08-11 17:05:17 +00:00
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@only_with_bls(alt_return=STUB_COORDINATES)
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2019-12-20 06:41:46 +00:00
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def signature_to_G2(signature):
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2020-01-07 19:52:20 +00:00
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return _signature_to_G2(signature)
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2020-04-23 07:08:36 +00:00
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@only_with_bls(alt_return=STUB_PUBKEY)
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def AggregatePKs(pubkeys):
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2021-08-04 13:12:19 +00:00
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if bls == py_ecc_bls:
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2021-08-05 04:09:30 +00:00
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assert all(bls.KeyValidate(pubkey) for pubkey in pubkeys)
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2021-08-04 13:12:19 +00:00
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elif bls == milagro_bls:
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# milagro_bls._AggregatePKs checks KeyValidate internally
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pass
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2023-03-02 20:49:10 +00:00
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if bls == arkworks_bls: # no signature API in arkworks
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return py_ecc_bls._AggregatePKs(list(pubkeys))
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2020-05-11 17:18:49 +00:00
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return bls._AggregatePKs(list(pubkeys))
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2020-05-14 16:45:26 +00:00
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@only_with_bls(alt_return=STUB_SIGNATURE)
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def SkToPk(SK):
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2023-03-02 20:49:10 +00:00
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if bls == py_ecc_bls or bls == arkworks_bls: # no signature API in arkworks
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return py_ecc_bls.SkToPk(SK)
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2020-09-25 06:37:24 +00:00
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else:
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return bls.SkToPk(SK.to_bytes(32, 'big'))
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2022-07-13 10:14:05 +00:00
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def pairing_check(values):
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2023-03-02 20:49:10 +00:00
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if bls == arkworks_bls or bls == fastest_bls:
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p_q_1, p_q_2 = values
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g1s = [p_q_1[0], p_q_2[0]]
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g2s = [p_q_1[1], p_q_2[1]]
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return arkworks_GT.multi_pairing(g1s, g2s) == arkworks_GT.one()
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else:
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p_q_1, p_q_2 = values
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final_exponentiation = py_ecc_final_exponentiate(
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py_ecc_pairing(p_q_1[1], p_q_1[0], final_exponentiate=False)
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* py_ecc_pairing(p_q_2[1], p_q_2[0], final_exponentiate=False)
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)
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return final_exponentiation == py_ecc_GT.one()
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def add(lhs, rhs):
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"""
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Performs point addition of `lhs` and `rhs`.
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The points can either be in G1 or G2.
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"""
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if bls == arkworks_bls or bls == fastest_bls:
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return lhs + rhs
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return py_ecc_add(lhs, rhs)
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def multiply(point, scalar):
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"""
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Performs Scalar multiplication between
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`point` and `scalar`.
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`point` can either be in G1 or G2
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"""
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if bls == arkworks_bls or bls == fastest_bls:
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2024-09-27 12:19:04 +00:00
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if not isinstance(scalar, arkworks_Scalar):
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return point * arkworks_Scalar(int(scalar))
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2023-03-02 20:49:10 +00:00
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return point * scalar
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2024-09-27 12:19:04 +00:00
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return py_ecc_mul(point, int(scalar))
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2023-03-02 20:49:10 +00:00
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2024-04-23 12:38:04 +00:00
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2024-09-27 12:19:04 +00:00
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def multi_exp(points, scalars):
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2024-04-23 11:44:50 +00:00
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"""
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Performs a multi-scalar multiplication between
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2024-09-27 12:19:04 +00:00
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`points` and `scalars`.
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2024-04-23 13:53:06 +00:00
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`points` can either be in G1 or G2.
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2024-04-23 11:44:50 +00:00
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"""
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2024-04-23 13:58:32 +00:00
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# Since this method accepts either G1 or G2, we need to know
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# the type of the point to return. Hence, we need at least one point.
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2024-09-27 12:19:04 +00:00
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if not points or not scalars:
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raise Exception("Cannot call multi_exp with zero points or zero scalars")
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2024-04-23 13:58:32 +00:00
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2024-04-23 11:44:50 +00:00
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if bls == arkworks_bls or bls == fastest_bls:
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2024-09-27 12:19:04 +00:00
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# If using py_ecc Scalars, convert to arkworks Scalars.
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if not isinstance(scalars[0], arkworks_Scalar):
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scalars = [arkworks_Scalar(int(s)) for s in scalars]
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2023-03-02 20:49:10 +00:00
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2024-04-23 13:21:37 +00:00
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# Check if we need to perform a G1 or G2 multiexp
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if isinstance(points[0], arkworks_G1):
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return arkworks_G1.multiexp_unchecked(points, scalars)
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elif isinstance(points[0], arkworks_G2):
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return arkworks_G2.multiexp_unchecked(points, scalars)
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else:
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raise Exception("Invalid point type")
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2024-04-23 12:38:04 +00:00
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2024-04-23 14:11:46 +00:00
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result = None
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2024-04-27 04:11:29 +00:00
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if isinstance(points[0][0], FQ):
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2024-04-23 13:53:06 +00:00
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result = Z1()
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2024-04-27 04:11:29 +00:00
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elif isinstance(points[0][0], FQ2):
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2024-04-23 13:53:06 +00:00
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|
result = Z2()
|
|
|
|
else:
|
|
|
|
raise Exception("Invalid point type")
|
|
|
|
|
2024-09-27 12:19:04 +00:00
|
|
|
for point, scalar in zip(points, scalars):
|
2024-04-23 12:38:04 +00:00
|
|
|
result = add(result, multiply(point, scalar))
|
|
|
|
return result
|
|
|
|
|
|
|
|
|
2023-03-02 20:49:10 +00:00
|
|
|
def neg(point):
|
|
|
|
"""
|
|
|
|
Returns the point negation of `point`
|
|
|
|
`point` can either be in G1 or G2
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return -point
|
|
|
|
return py_ecc_neg(point)
|
|
|
|
|
|
|
|
|
|
|
|
def Z1():
|
|
|
|
"""
|
|
|
|
Returns the identity point in G1
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return arkworks_G1.identity()
|
|
|
|
return py_ecc_Z1
|
|
|
|
|
|
|
|
|
2024-01-05 12:31:09 +00:00
|
|
|
def Z2():
|
|
|
|
"""
|
|
|
|
Returns the identity point in G2
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return arkworks_G2.identity()
|
|
|
|
return py_ecc_Z2
|
|
|
|
|
|
|
|
|
2023-03-02 20:49:10 +00:00
|
|
|
def G1():
|
|
|
|
"""
|
|
|
|
Returns the chosen generator point in G1
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return arkworks_G1()
|
|
|
|
return py_ecc_G1
|
|
|
|
|
|
|
|
|
|
|
|
def G2():
|
|
|
|
"""
|
|
|
|
Returns the chosen generator point in G2
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return arkworks_G2()
|
|
|
|
return py_ecc_G2
|
|
|
|
|
|
|
|
|
|
|
|
def G1_to_bytes48(point):
|
|
|
|
"""
|
|
|
|
Serializes a point in G1.
|
|
|
|
Returns a bytearray of size 48 as
|
|
|
|
we use the compressed format
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return bytes(point.to_compressed_bytes())
|
|
|
|
return py_ecc_G1_to_bytes48(point)
|
|
|
|
|
|
|
|
|
|
|
|
def G2_to_bytes96(point):
|
|
|
|
"""
|
|
|
|
Serializes a point in G2.
|
|
|
|
Returns a bytearray of size 96 as
|
|
|
|
we use the compressed format
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return bytes(point.to_compressed_bytes())
|
|
|
|
return py_ecc_G2_to_bytes96(point)
|
|
|
|
|
|
|
|
|
|
|
|
def bytes48_to_G1(bytes48):
|
|
|
|
"""
|
|
|
|
Deserializes a purported compressed serialized
|
|
|
|
point in G1.
|
|
|
|
- No subgroup checks are performed
|
|
|
|
- If the bytearray is not a valid serialization
|
|
|
|
of a point in G1, then this method will raise
|
|
|
|
an exception
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return arkworks_G1.from_compressed_bytes_unchecked(bytes48)
|
|
|
|
return py_ecc_bytes48_to_G1(bytes48)
|
|
|
|
|
|
|
|
|
|
|
|
def bytes96_to_G2(bytes96):
|
|
|
|
"""
|
|
|
|
Deserializes a purported compressed serialized
|
|
|
|
point in G2.
|
|
|
|
- No subgroup checks are performed
|
|
|
|
- If the bytearray is not a valid serialization
|
|
|
|
of a point in G2, then this method will raise
|
|
|
|
an exception
|
|
|
|
"""
|
|
|
|
if bls == arkworks_bls or bls == fastest_bls:
|
|
|
|
return arkworks_G2.from_compressed_bytes_unchecked(bytes96)
|
|
|
|
return py_ecc_bytes96_to_G2(bytes96)
|
2022-09-10 18:19:01 +00:00
|
|
|
|
|
|
|
|
|
|
|
@only_with_bls(alt_return=True)
|
|
|
|
def KeyValidate(pubkey):
|
|
|
|
return py_ecc_bls.KeyValidate(pubkey)
|