def test_signature(self):
ec = secp256k1
q, Q = dsa.gen_keys(0x1)
msg = "Satoshi Nakamoto"
sig = dsa.sign(msg, q)
self.assertEqual(sig, dsa.deserialize(sig))
# https://bitcointalk.org/index.php?topic=285142.40
# Deterministic Usage of DSA and ECDSA (RFC 6979)
exp_sig = (
0x934B1EA10A4B3C1757E2B0C017D0B6143CE3C9A7E6A4A49860D7A6AB210EE3D8,
0x2442CE9D2B916064108014783E923EC36B49743E2FFA1C4496F01A512AAFD9E5,
)
r, s = sig
self.assertEqual(sig[0], exp_sig[0])
self.assertIn(sig[1], (exp_sig[1], secp256k1.n - exp_sig[1]))
self.assertTrue(dsa.verify(msg, Q, sig))
# malleability
malleated_sig = (r, secp256k1.n - s)
self.assertTrue(dsa.verify(msg, Q, malleated_sig))
keys = dsa.recover_pubkeys(msg, sig)
self.assertTrue(len(keys) == 2)
self.assertIn(Q, keys)
fmsg = "Craig Wright"
self.assertFalse(dsa.verify(fmsg, Q, sig))
fdsasig = (sig[0], sig[1], sig[1])
self.assertFalse(dsa.verify(msg, Q, fdsasig))
self.assertRaises(ValueError, dsa._verify, msg, Q, fdsasig, ec, hf)
_, fQ = dsa.gen_keys()
self.assertFalse(dsa.verify(msg, fQ, sig))
# r not in [1, n-1]
invalid_dassig = 0, sig[1]
self.assertFalse(dsa.verify(msg, Q, invalid_dassig))
# s not in [1, n-1]
invalid_dassig = sig[0], 0
self.assertFalse(dsa.verify(msg, Q, invalid_dassig))
# pubkey = INF
self.assertRaises(ValueError, dsa._verify, msg, INF, sig, ec, hf)
# dsa._verify(msg, INF, sig, ec, hf)
# private key not in [1, n-1]
self.assertRaises(ValueError, dsa.sign, msg, 0)
# dsa.sign(msg, 0)
# ephemeral key not in [1, n-1]
self.assertRaises(ValueError, dsa.sign, msg, 1, 0)
def test_signature(self):
q, Q = dsa.gen_keys(0x1)
msg = 'Satoshi Nakamoto'
sig = dsa.sign(msg, q)
self.assertEqual(sig, dsa.deserialize(sig))
# https://bitcointalk.org/index.php?topic=285142.40
# Deterministic Usage of DSA and ECDSA (RFC 6979)
exp_sig = (
0x934b1ea10a4b3c1757e2b0c017d0b6143ce3c9a7e6a4a49860d7a6ab210ee3d8,
0x2442ce9d2b916064108014783e923ec36b49743e2ffa1c4496f01a512aafd9e5)
r, s = sig
self.assertEqual(sig[0], exp_sig[0])
self.assertIn(sig[1], (exp_sig[1], secp256k1.n - exp_sig[1]))
self.assertTrue(dsa.verify(msg, Q, sig))
# malleability
malleated_sig = (r, secp256k1.n - s)
self.assertTrue(dsa.verify(msg, Q, malleated_sig))
keys = dsa.recover_pubkeys(msg, sig)
self.assertTrue(len(keys) == 2)
self.assertIn(Q, keys)
fmsg = 'Craig Wright'
self.assertFalse(dsa.verify(fmsg, Q, sig))
fdsasig = (sig[0], sig[1], sig[1])
self.assertFalse(dsa.verify(msg, Q, fdsasig))
self.assertRaises(ValueError, dsa._verify, msg, Q, fdsasig, ec, hf)
fq, fQ = dsa.gen_keys()
self.assertFalse(dsa.verify(msg, fQ, sig))
# r not in [1, n-1]
invalid_dassig = 0, sig[1]
self.assertFalse(dsa.verify(msg, Q, invalid_dassig))
# s not in [1, n-1]
invalid_dassig = sig[0], 0
self.assertFalse(dsa.verify(msg, Q, invalid_dassig))
# pubkey = INF
self.assertRaises(ValueError, dsa._verify, msg, INF, sig, ec, hf)
#dsa._verify(msg, INF, sig, ec, hf)
# private key not in [1, n-1]
self.assertRaises(ValueError, dsa.sign, msg, 0)
#dsa.sign(msg, 0)
# ephemeral key not in [1, n-1]
self.assertRaises(ValueError, dsa.sign, msg, 1, 0)
def test_pubkey_recovery(self):
ec = secp112r2
q = 0x10
Q = mult(q, ec.G, ec)
msg = "Satoshi Nakamoto"
k = None
sig = dsa.sign(msg, q, k, ec)
self.assertTrue(dsa.verify(msg, Q, sig, ec))
dersig = dsa.serialize(*sig, ec)
self.assertTrue(dsa.verify(msg, Q, dersig, ec))
r, s = dsa.deserialize(dersig)
self.assertEqual((r, s), sig)
keys = dsa.recover_pubkeys(msg, sig, ec)
self.assertEqual(len(keys), 4)
self.assertIn(Q, keys)
for Q in keys:
self.assertTrue(dsa.verify(msg, Q, sig, ec))
def test_pubkey_recovery() -> None:
ec = CURVES["secp112r2"]
q = 0x10
Q = mult(q, ec.G, ec)
msg = "Satoshi Nakamoto"
low_s = True
sig = dsa.sign(msg, q, low_s, ec)
assert dsa.verify(msg, Q, sig, ec)
dersig = dsa.serialize(*sig, ec)
assert dsa.verify(msg, Q, dersig, ec)
r, s = dsa.deserialize(dersig)
assert (r, s) == sig
keys = dsa.recover_pubkeys(msg, sig, ec)
assert len(keys) == 4
assert Q in keys
for Q in keys:
assert dsa.verify(msg, Q, sig, ec)
def test_pubkey_recovery():
ec = secp112r2
q = 0x10
Q = mult(q, ec.G, ec)
msg = "Satoshi Nakamoto"
k = None
sig = dsa.sign(msg, q, k, ec)
assert dsa.verify(msg, Q, sig, ec)
dersig = dsa.serialize(*sig, ec)
assert dsa.verify(msg, Q, dersig, ec)
r, s = dsa.deserialize(dersig)
assert (r, s) == sig
keys = dsa.recover_pubkeys(msg, sig, ec)
assert len(keys) == 4
assert Q in keys
for Q in keys:
assert dsa.verify(msg, Q, sig, ec)
def test_ledger() -> None:
"""Hybrid ECDSA Bitcoin message signature generated by Ledger"""
mnemonic = (
"barely sun snack this snack relief pipe attack disease boss enlist lawsuit"
)
# non-standard leading 31 in DER serialization
derivation_path = "m/1"
msg = b"\xfb\xa3\x1f\x8cd\x85\xe29#K\xb3{\xfd\xa7<?\x95oL\xee\x19\xb2'oh\xa7]\xd9A\xfeU\xd8"
dersig_hex_str = "3144022012ec0c174936c2a46dc657252340b2e6e6dd8c31dd059b6f9f33a90c21af2fba022030e6305b3ccf88009d419bf7651afcfcc0a30898b93ae9de9aa6ac03cf8ec56b"
# pubkey derivation
rprv = bip32.mxprv_from_bip39_mnemonic(mnemonic)
xprv = bip32.derive(rprv, derivation_path)
# the actual message being signed
magic_msg = bms._magic_message(msg)
# save key_id and patch dersig
dersig = bytes.fromhex(dersig_hex_str)
key_id = dersig[0]
dersig = b"\x30" + dersig[1:]
r, s = dsa.deserialize(dersig)
# ECDSA signature verification of the patched dersig
dsa.assert_as_valid(magic_msg, xprv, dersig, ec, hf)
assert dsa.verify(magic_msg, xprv, dersig)
# compressed address
addr = base58address.p2pkh(xprv)
# equivalent Bitcoin Message Signature (non-serialized)
rec_flag = 27 + 4 + (key_id & 0x01)
btcmsgsig = (rec_flag, r, s)
# Bitcoin Message Signature verification
bms.assert_as_valid(msg, addr, btcmsgsig)
assert bms.verify(msg, addr, btcmsgsig)
assert not bms.verify(magic_msg, addr, btcmsgsig)
bms.sign(msg, xprv)
# standard leading 30 in DER serialization
derivation_path = "m/0/0"
msg_str = "hello world"
dersig_hex_str = "3045022100967dac3262b4686e89638c8219c5761017f05cd87a855edf034f4a3ec6b59d3d0220108a4ef9682b71a45979d8c75c393382d9ccb8eb561d73b8c5fc0b87a47e7d27"
# pubkey derivation
rprv = bip32.mxprv_from_bip39_mnemonic(mnemonic)
xprv = bip32.derive(rprv, derivation_path)
# the actual message being signed
magic_msg = bms._magic_message(msg_str)
# save key_id and patch dersig
dersig = bytes.fromhex(dersig_hex_str)
key_id = dersig[0]
dersig = b"\x30" + dersig[1:]
r, s = dsa.deserialize(dersig)
# ECDSA signature verification of the patched dersig
dsa.assert_as_valid(magic_msg, xprv, dersig, ec, hf)
assert dsa.verify(magic_msg, xprv, dersig)
# compressed address
addr = base58address.p2pkh(xprv)
# equivalent Bitcoin Message Signature (non-serialized)
rec_flag = 27 + 4 + (key_id & 0x01)
btcmsgsig = (rec_flag, r, s)
# Bitcoin Message Signature verification
bms.assert_as_valid(msg_str, addr, btcmsgsig)
assert bms.verify(msg_str, addr, btcmsgsig)
assert not bms.verify(magic_msg, addr, btcmsgsig)
def test_signature() -> None:
ec = CURVES["secp256k1"]
msg = "Satoshi Nakamoto"
q, Q = dsa.gen_keys(0x1)
sig = dsa.sign(msg, q)
assert dsa.verify(msg, Q, sig)
assert sig == dsa.deserialize(sig)
# https://bitcointalk.org/index.php?topic=285142.40
# Deterministic Usage of DSA and ECDSA (RFC 6979)
exp_sig = (
0x934B1EA10A4B3C1757E2B0C017D0B6143CE3C9A7E6A4A49860D7A6AB210EE3D8,
0x2442CE9D2B916064108014783E923EC36B49743E2FFA1C4496F01A512AAFD9E5,
)
r, s = sig
assert sig[0] == exp_sig[0]
assert sig[1] in (exp_sig[1], ec.n - exp_sig[1])
dsa.assert_as_valid(msg, Q, sig)
dsa.assert_as_valid(msg, Q, dsa.serialize(*sig))
dsa.assert_as_valid(msg, Q, dsa.serialize(*sig).hex())
# malleability
malleated_sig = (r, ec.n - s)
assert dsa.verify(msg, Q, malleated_sig)
keys = dsa.recover_pubkeys(msg, sig)
assert len(keys) == 2
assert Q in keys
msg_fake = "Craig Wright"
assert not dsa.verify(msg_fake, Q, sig)
err_msg = "signature verification failed"
with pytest.raises(BTClibRuntimeError, match=err_msg):
dsa.assert_as_valid(msg_fake, Q, sig)
_, Q_fake = dsa.gen_keys()
assert not dsa.verify(msg, Q_fake, sig)
err_msg = "signature verification failed"
with pytest.raises(BTClibRuntimeError, match=err_msg):
dsa.assert_as_valid(msg, Q_fake, sig)
err_msg = "not a valid public key: "
with pytest.raises(BTClibValueError, match=err_msg):
dsa.assert_as_valid(msg, INF, sig)
sig_fake = (sig[0], sig[1], sig[1])
assert not dsa.verify(msg, Q, sig_fake) # type: ignore
err_msg = "too many values to unpack "
with pytest.raises(ValueError, match=err_msg):
dsa.assert_as_valid(msg, Q, sig_fake) # type: ignore
sig_invalid = ec.p, sig[1]
assert not dsa.verify(msg, Q, sig_invalid)
err_msg = "scalar r not in 1..n-1: "
with pytest.raises(BTClibValueError, match=err_msg):
dsa.assert_as_valid(msg, Q, sig_invalid)
sig_invalid = sig[0], ec.p
assert not dsa.verify(msg, Q, sig_invalid)
err_msg = "scalar s not in 1..n-1: "
with pytest.raises(BTClibValueError, match=err_msg):
dsa.assert_as_valid(msg, Q, sig_invalid)
err_msg = "private key not in 1..n-1: "
with pytest.raises(BTClibValueError, match=err_msg):
dsa.sign(msg, 0)
# ephemeral key not in 1..n-1
err_msg = "private key not in 1..n-1: "
with pytest.raises(BTClibValueError, match=err_msg):
dsa._sign(reduce_to_hlen(msg), q, 0)
with pytest.raises(BTClibValueError, match=err_msg):
dsa._sign(reduce_to_hlen(msg), q, ec.n)
keys = recover_pubkeys(msg1, (r1, sm))
for i, key in enumerate(keys):
print(
f" key#{i}: {'02' if key[1] % 2 == 0 else '03'} {hex(key[0]).upper()}")
print("\n0. Another message to sign")
msg2 = "and Paolo is right to be afraid"
print(msg2)
print("2. Sign message")
r2, s2 = sign(msg2, q)
print(f" r2: {hex(r2).upper()}")
print(f" s2: {hex(s2).upper()}")
print("3. Verify signature")
print(verify(msg2, Q, (r2, s2)))
print("4. Recover keys")
keys = recover_pubkeys(msg2, (r2, s2))
for i, key in enumerate(keys):
print(
f" key#{i}: {'02' if key[1] % 2 == 0 else '03'} {hex(key[0]).upper()}")
print("\n** Serialize signature")
dersig = serialize(r2, s2)
print(" bytes:", dersig)
print("hex-string:", dersig.hex().upper())
r3, s3 = deserialize(dersig)
if r2 == r3 and s2 == s3:
print("Succesfully deserialized!")
def test_signature():
ec = secp256k1
q, Q = dsa.gen_keys(0x1)
msg = "Satoshi Nakamoto"
sig = dsa.sign(msg, q)
dsa.assert_as_valid(msg, Q, sig, ec, hf)
assert dsa.verify(msg, Q, sig)
assert sig == dsa.deserialize(sig)
# https://bitcointalk.org/index.php?topic=285142.40
# Deterministic Usage of DSA and ECDSA (RFC 6979)
exp_sig = (
0x934B1EA10A4B3C1757E2B0C017D0B6143CE3C9A7E6A4A49860D7A6AB210EE3D8,
0x2442CE9D2B916064108014783E923EC36B49743E2FFA1C4496F01A512AAFD9E5,
)
r, s = sig
assert sig[0] == exp_sig[0]
assert sig[1] in (exp_sig[1], secp256k1.n - exp_sig[1])
# malleability
malleated_sig = (r, secp256k1.n - s)
assert dsa.verify(msg, Q, malleated_sig)
keys = dsa.recover_pubkeys(msg, sig)
assert len(keys) == 2
assert Q in keys
fmsg = "Craig Wright"
assert not dsa.verify(fmsg, Q, sig)
err_msg = "signature verification failed"
with pytest.raises(AssertionError, match=err_msg):
dsa.assert_as_valid(fmsg, Q, sig, ec, hf)
_, fQ = dsa.gen_keys()
assert not dsa.verify(msg, fQ, sig)
err_msg = "signature verification failed"
with pytest.raises(AssertionError, match=err_msg):
dsa.assert_as_valid(msg, fQ, sig, ec, hf)
err_msg = "not a valid public key: "
with pytest.raises(ValueError, match=err_msg):
dsa.assert_as_valid(msg, INF, sig, ec, hf)
fdsasig = (sig[0], sig[1], sig[1])
assert not dsa.verify(msg, Q, fdsasig)
err_msg = "too many values to unpack "
with pytest.raises(ValueError, match=err_msg):
dsa.assert_as_valid(msg, Q, fdsasig, ec, hf)
invalid_sig = ec.p, sig[1]
assert not dsa.verify(msg, Q, invalid_sig)
err_msg = "scalar r not in 1..n-1: "
with pytest.raises(ValueError, match=err_msg):
dsa.assert_as_valid(msg, Q, invalid_sig, ec, hf)
invalid_sig = sig[0], ec.p
assert not dsa.verify(msg, Q, invalid_sig)
err_msg = "scalar s not in 1..n-1: "
with pytest.raises(ValueError, match=err_msg):
dsa.assert_as_valid(msg, Q, invalid_sig, ec, hf)
err_msg = "private key not in 1..n-1: "
with pytest.raises(ValueError, match=err_msg):
dsa.sign(msg, 0)
# ephemeral key not in 1..n-1
err_msg = "private key not in 1..n-1: "
with pytest.raises(ValueError, match=err_msg):
dsa.sign(msg, 1, 0)
