def generateId(n):
field = ec.SubGroup(p=0x05177b8a2a0fd6a4ff55cda06b0924e125f86cad9b,
g=(0x0017e7012277e1b4e43f7bf74657e8be08baca175b,
0x00aa03a0a82690704697e8c504cb135b2b6eef3c83),
n=0x03177f8a2a0fd674ff556aa7b8a7851f88bd53b2c1,
h=1)
curve = ec.Curve(a=0x043182d283fce3880730c9a2fdd3f6016529a166af,
b=0x020c61e9459e53d8871bcaadc2dfc8ad5225228035,
field=field,
name='p1707')
#k = 0xa78a2374871236e
k = 0x03177b8a2a0fd674ff556aa7b8a7851f88bd53b2c1
P = curve.g
p = curve.field.p
for i in range(1, n + 1):
S = k * P
xn = S.x
if (xn == None):
yn1 = S1.y
k = yn1 + (i - 1) % p
S = k * P
xn = S.xp
#print(xn)
if (i == n):
break
else:
k = xn + i % p
S1 = S
return xn
def get_curve_safe(ec_enum: EC_CURVE_REGISTRY):
curve_params = ec_enum.value
try:
sub_group = ec.SubGroup(
curve_params["p"], curve_params["g"], curve_params["n"], curve_params["h"])
curve = ec.Curve(
curve_params["a"], curve_params["b"], sub_group, ec_enum.name)
except KeyError:
raise RuntimeError("Missing parameters for curve %s" % ec_enum.name)
return curve
def get_curve(name):
curve_params = {}
for k, v in EC_CURVE_REGISTRY.items():
if name.lower() == k.lower():
curve_params = v
if curve_params == {}:
raise ValueError("Unknown elliptic curve name")
try:
sub_group = ec.SubGroup(curve_params["p"], curve_params["g"],
curve_params["n"], curve_params["h"])
curve = ec.Curve(curve_params["a"], curve_params["b"], sub_group, name)
except KeyError:
raise RuntimeError("Missing parameters for curve %s" % name)
return curve
import secrets
import base64
from Crypto.Cipher import AES
import hashlib, secrets, binascii
# y^2 = x^3 + ax^2 +b
a = 2
b = 3
#start point
point = (22,5)
field = ec.SubGroup(97, point, 2000, 1)
#curve = reg.get_curve('brainpoolP256r1')
curve = ec.Curve(a, b, field)
def compress_point(point):
return hex(point.x) + hex(point.y % 2)[2:]
def ecc_calc_encryption_keys(pubKey):
ciphertextPrivKey = secrets.randbelow(curve.field.n)
ciphertextPubKey = ciphertextPrivKey * curve.g
sharedECCKey = pubKey * ciphertextPrivKey
return (sharedECCKey, ciphertextPubKey)
def ecc_calc_decryption_key(privKey, ciphertextPubKey):
sharedECCKey = ciphertextPubKey * privKey
return sharedECCKey
def ecc_point_to_256_bit_key(point):
import tinyec.ec as ec
# p la truong cua E
# g la diem sinh
# n la bac cua E
field = ec.SubGroup(p=0x05177b8a2a0fd6a4ff55cda06b0924e125f86cad9b,
g=(0x0017e7012277e1b4e43f7bf74657e8be08baca175b,
0x00aa03a0a82690704697e8c504cb135b2b6eef3c83),
n=0x03177f8a2a0fd674ff556aa7b8a7851f88bd53b2c1,
h=1)
curve = ec.Curve(a=0x043182d283fce3880730c9a2fdd3f6016529a166af,
b=0x020c61e9459e53d8871bcaadc2dfc8ad5225228035,
field=field,
name='p1707')
print('curve:', curve)
#k = 0xa78a2374871236e
k = 0x03177b8a2a0fd674ff556aa7b8a7851f88bd53b2c1
P = curve.g
p = curve.field.p
n = 10
for i in range(1, n + 1):
S = k * P
xn = S.x
if (xn == None):
yn1 = S1.y
k = yn1 + (i - 1) % p
S = k * P
xn = S.xp
#print(xn)
def setUp(self):
self.field = ec.SubGroup(97, (1, 2), 5, 1)
self.curve = ec.Curve(2, 3, self.field)
super(TestPoint, self).setUp()
def test_when_specific_a_and_b_are_used_then_curve_is_singular(self):
self.assertTrue(ec.Curve(0, 0, self.field).is_singular())
self.assertTrue(ec.Curve(-3, 2, self.field).is_singular())
self.assertFalse(ec.Curve(-3, 1, self.field).is_singular())
self.assertFalse(ec.Curve(2, 2, self.field).is_singular())
2. brainpoolP192r1
3. brainpoolP224r1
4. brainpoolP256r1
5. brainpoolP320r1
6. brainpoolP384r1
7. brainpoolP512r1
8. secp192r1
9. secp224r1
10. secp256r1
11. secp384r1
12. secp521r1
'''
# Example: curve = registry.get_curve('brainpoolP256r1')
field = ec.SubGroup(p=p, g=g, n=n, h=h)
curve = ec.Curve(a=a, b=b, field=field, name=name)
print('The curve is:')
print(curve)
print("Generator point is: ")
print(curve.g)
print("The integer points possible on the curve are: ")
for k in range(0, 14):
p = k * curve.g
print(str(k).zfill(2), "*", "G = ", (p.x, p.y))
print()
# User A select private key:
n_a = n
while (n_a >= n):
n_a = int(input("Enter A's private key(less than n): "))