def main():
group = PairingGroup('SS512')
waters_hash = Waters(group)
ibe = IBE_N04(group)
(master_public_key, master_key) = ibe.setup()
ID = "*****@*****.**"
kID = waters_hash.hash(ID)
secret_key = ibe.extract(master_key, kID)
msg = group.random(GT)
cipher_text = ibe.encrypt(master_public_key, kID, msg)
decrypted_msg = ibe.decrypt(master_public_key, secret_key, cipher_text)
assert msg == decrypted_msg, "invalid decryption"
if debug: print("Successful Decryption!")
def main():
group = PairingGroup('SS512')
waters_hash = Waters(group)
ibe = IBE_N04(group)
(master_public_key, master_key) = ibe.setup()
ID = "*****@*****.**"
kID = waters_hash.hash(ID)
secret_key = ibe.extract(master_key, kID)
msg = group.random(GT)
cipher_text = ibe.encrypt(master_public_key, kID, msg)
decrypted_msg = ibe.decrypt(master_public_key, secret_key, cipher_text)
assert msg == decrypted_msg, "invalid decryption"
if debug: print("Successful Decryption!")
def keygen(self, l=32):
'''l is the security parameter
with l = 32, and the hash function at 160 bits = n * l with n = 5'''
global waters
sha1_func, sha1_len = 'sha1', 20
g = group.random(G2) # generator for group G of prime order p
hLen = sha1_len * 8
n = int(math.floor(hLen / l))
waters = Waters(group, n, l, sha1_func)
alpha = group.random(ZR) #from Zp
g2 = g ** alpha
g1 = group.random(G1)
u = group.random(ZR)
uprime = g ** u
U_z = [group.random(ZR) for x in range(n)]
U = [g ** x for x in U_z]
pk = {'g':g, 'g1':g1, 'g2': g2, 'uPrime':uprime, 'U': U,
'n':n, 'l':l, 'egg': pair(g1, g2) }
# mk = pk.copy()
#mk = {'g':g, 'g1':g1, 'g2': g2, 'uPrime':uprime, 'U': U,
# 'n':n, 'l':l, 'egg': pair(g, g2) ** alpha }
mk = {'g1^alpha':g1 ** alpha, 'U_z':U_z, 'u':u} #master secret
if debug:
print(mk)
return (pk, mk)
def setup(self, n=5, l=32):
"""n integers with each size l"""
global lam_func, waters
lam_func = lambda i, x, y: x[i]**y[i]
waters = Waters(group, n, l)
alpha, t1, t2, t3, t4 = group.random(ZR, 5)
z = list(group.random(ZR, n))
g = group.random(G1)
h = group.random(G2)
omega = pair(g, h)**(t1 * t2 * alpha)
g_l = [g**i for i in z]
h_l = [h**i for i in z]
v1, v2 = g**t1, g**t2
v3, v4 = g**t3, g**t4
msk = {'alpha': alpha, 't1': t1, 't2': t2, 't3': t3, 't4': t4}
mpk = {
'omega': omega,
'g': g,
'h': h,
'g_l': g_l,
'h_l': h_l,
'v1': v1,
'v2': v2,
'v3': v3,
'v4': v4,
'n': n,
'l': l
}
return (mpk, msk)
def setup(self, l=32):
"""l is the security parameter
with l = 32, and the hash function at 256 bits = n * l with n = 8"""
global waters
g = group.random(G1) # generator for group G of prime order p
sha2_byte_len = 32
hLen = sha2_byte_len * 8
n = int(math.floor(hLen / l))
waters = Waters(group, n, l, 'sha256')
alpha = group.random() #from Zp
g1 = g ** alpha # G1
g2 = group.random(G2) #G2
uprime = group.random(G2)
U = [group.random() for x in range(n)]
pk = {'g':g, 'g1':g1, 'g2': g2, 'uPrime':uprime, 'U': U,
'n':n, 'l':l}
mk = pk.copy()
mk['g2^alpha'] = g2 ** alpha #master secret
if debug:
print(mk)
return (pk, mk)
def setup(self, z, l=32):
global waters
waters = Waters(group, z, l)
alpha, h = group.random(ZR), group.random(G1)
g1, g2 = group.random(G1), group.random(G2)
A = pair(h, g2)**alpha
y = [group.random(ZR) for i in range(z)]
y1t, y2t = group.random(ZR), group.random(ZR)
u1t = g1**y1t
u2t = g1**y2t
u = [g1**y[i] for i in range(z)]
u1b = g2**y1t
u2b = g2**y2t
ub = [g2**y[i] for i in range(z)]
msk = h**alpha
mpk = {
'g1': g1,
'g2': g2,
'A': A,
'u1t': u1t,
'u2t': u2t,
'u': u,
'u1b': u1b,
'u2b': u2b,
'ub': ub,
'z': z,
'l': l
}
return (mpk, msk)
def main():
groupObj = PairingGroup('SS512')
ibe = IBE_N04_Sig_z(groupObj)
waters = Waters(group)
(pk, sk) = ibe.keygen()
# represents public identity
M = "*****@*****.**"
msg = waters.hash("This is a test.")
sig = ibe.sign(pk, sk, msg)
if debug:
print("original msg => '%s'" % M)
print("msg => '%s'" % msg)
print("sig => '%s'" % sig)
assert ibe.verify(pk, msg, sig), "Failed verification!"
if debug: print("Successful Verification!!! msg => '%s'" % msg)
def __init__(self, groupObj):
IBEnc.__init__(self)
#IBEnc.setProperty(self, secdef='IND_ID_CPA', assumption='DBDH', secmodel='Standard')
#, other={'id':ZR}
#message_space=[GT, 'KEM']
global group
group = groupObj
global waters_hash
waters_hash = Waters(group)
def extract(self, level, mpk, mk, ID):
j = level
assert j >= 1 and j <= mpk['l'], "invalid level: 1 - %d" % mpk['l']
I = Waters(group, j, mpk['z']).hash(ID)
r = [group.random(ZR) for i in range(j)]
g_b = [mpk['gb']**r[i] for i in range(j)]
hashID = mk['g0b'] * dotprod2(range(j), hash_func, mpk['g1b'], I,
mpk['hb'], r)
return {'ID': ID, 'j': j}, {'d0': hashID, 'dn': g_b}
def encrypt(self, mpk, pk, M):
I = Waters(group, pk['j'], mpk['z']).hash(pk['ID'])
s = group.random(ZR)
A = M * (mpk['v']**s)
B = mpk['g']**s
C = {}
for i in range(pk['j']):
C[i] = ((mpk['g1']**I[i]) * mpk['h'][i])**s
return {'A': A, 'B': B, 'C': C, 'j': pk['j']}
def testIBE_N04_Sig(self):
# initialize the element object so that object references have global scope
groupObj = PairingGroup('SS512')
waters = Waters(groupObj)
ibe = IBE_N04_Sig(groupObj)
(pk, sk) = ibe.keygen()
# represents public identity
M = "*****@*****.**"
msg = waters.hash(M)
sig = ibe.sign(pk, sk, msg)
if debug:
print("original msg => '%s'" % M)
print("msg => '%s'" % msg)
print("sig => '%s'" % sig)
assert ibe.verify(pk, msg, sig), "Failed verification!"
if debug: print("Successful Verification!!! msg => '%s'" % msg)
def derive(self, mpk, pk):
j = pk['j'] # pk[j-1]
assert pk['j'] + 1 <= mpk['l'], "invalid level: 1 - %d" % mpk['l']
I = Waters(group, j, mpk['z']).hash(pk['ID'])
r = [group.random(ZR) for i in range(j)]
g_b = [pk['dn'][i] * (mpk['gb']**r[i]) for i in range(j)] # j-1
g_b.append(pk['gb']**r[j]) # represents j
hashID = dID['d0'] * dotprod2(range(j + 1), hash_func, mpk['g1b'], I,
mpk['hb'], r)
return {'ID': ID, 'j': j}, {'d0': hashID, 'dn': g_b}
def testIBE_N04(self):
# initialize the element object so that object references have global scope
groupObj = PairingGroup('SS512')
waters = Waters(groupObj)
ibe = IBE_N04(groupObj)
(pk, mk) = ibe.setup()
# represents public identity
ID = "*****@*****.**"
kID = waters.hash(ID)
# if debug: print("Bob's key =>", kID)
key = ibe.extract(mk, kID)
M = groupObj.random(GT)
cipher = ibe.encrypt(pk, kID, M)
m = ibe.decrypt(pk, key, cipher)
# print('m =>', m)
assert m == M, "FAILED Decryption!"
if debug: print("Successful Decryption!!! m => '%s'" % m)
del groupObj
def testIBE_N04(self):
# initialize the element object so that object references have global scope
groupObj = PairingGroup('SS512')
waters = Waters(groupObj)
ibe = IBE_N04(groupObj)
(pk, mk) = ibe.setup()
# represents public identity
ID = "*****@*****.**"
kID = waters.hash(ID)
#if debug: print("Bob's key =>", kID)
key = ibe.extract(mk, kID)
M = groupObj.random(GT)
cipher = ibe.encrypt(pk, kID, M)
m = ibe.decrypt(pk, key, cipher)
#print('m =>', m)
assert m == M, "FAILED Decryption!"
if debug: print("Successful Decryption!!! m => '%s'" % m)
del groupObj
def setup(self, l=32):
'''l is the security parameter
with l = 32, and the hash function at 160 bits = n * l with n = 5'''
global waters
sha1_func, sha1_len = 'sha1', 20
g = group.random(G1) # generator for group G of prime order p
##
## timer = 0.0
## startTime = time.time()
## k = group.random(ZR)
## timer += time.time() - startTime
## print("average time %f ms" %(timer*1000))
hLen = sha1_len * 8
n = int(math.floor(hLen / l))
waters = Waters(group, n, l, sha1_func)
alpha = group.random(ZR) #from Zp
g1 = g**alpha # G1
g2 = group.random(G2) #G2
u = group.random(ZR)
uprime = g**u
U_z = [group.random(ZR) for x in range(n)] # in Z_p
U = [g**x for x in U_z] # in G_1
pk = {
'g': g,
'g1': g1,
'g2': g2,
'uPrime': uprime,
'U': U,
'n': n,
'l': l,
'eg1g2': pair(g1, g2)
}
#print("U[0]:",U[0])
#mk = pk.copy()
mk = {'g2^alpha': g2**alpha, 'U_z': U_z, 'u': u} #master secret
if debug:
print(mk)
return (pk, mk)
def setup(self, l=32):
'''l is the security parameter
with l = 32, and the hash function at 160 bits = n * l with n = 5'''
global waters
g = group.random(G1) # generator for group G of prime order p
sha2_byte_len = 32
hLen = sha2_byte_len * 8
n = int(math.floor(hLen / l))
waters = Waters(group, n, l, 'sha256')
alpha = group.random(ZR) #from Zp
g1 = g**alpha # G1
g2 = group.random(G2) #G2
u = group.random(ZR)
uprime = g**u
U_z = [group.random(ZR) for x in range(n)]
U = [g**x for x in U_z]
pk = {
'g': g,
'g1': g1,
'g2': g2,
'uPrime': uprime,
'U': U,
'n': n,
'l': l,
'eg1g2': pair(g1, g2)
}
mk = {
'g1': g1,
'g2': g2,
'n': n,
'g2^alpha': g2**alpha,
'U_z': U_z,
'u': u
} #master secret
if debug:
print(mk)
return (pk, mk)
assert bls.verify(pk, sig, m), "Failure!!!"
cllwwVerifyTime += time.time() - startTime
print("Bls04: Keygen %d times, average time %f ms" %
(n, cllwwKeyGenTime / n * 1000))
print("Bls04: Sign random message %d times, average time %f ms" %
(n, cllwwSignTime / n * 1000))
print("Bls04: Verify %d times, average time %f ms" %
(n, cllwwVerifyTime / n * 1000))
print("&%.2f () &%.2f () &%.2f ()" %
(cllwwKeyGenTime / n * 1000, cllwwSignTime / n * 1000,
cllwwVerifyTime / n * 1000))
#groupObj = PairingGroup('MNT159')
#groupObj = PairingGroup('SS512')
if (1):
ibe = IBE_N04_Sig(groupObj)
waters = Waters(groupObj)
msg = waters.hash("This is a test.")
cllwwKeyGenTime = 0.0
cllwwSignTime = 0.0
cllwwVerifyTime = 0.0
for i in range(0, n):
startTime = time.time()
(pk, sk) = ibe.keygen()
cllwwKeyGenTime += time.time() - startTime
msg = waters.hash(randomStringGen())
startTime = time.time()
sig = ibe.sign(pk, sk, msg)
cllwwSignTime += time.time() - startTime
startTime = time.time()
## IBE_RevokeEncTime += time.time() - startTime
##
## startTime = time.time()
## decrypted_msg = ibe.decrypt(S, cipher_text, secret_key)
## IBE_RevokeDecTime += time.time() - startTime
##print("\nAllison Lewko, Amit Sahai and Brent Waters, Revocation Systems with Very Small Private Keys")
###print("Group: SS512")
##print("IBE_Revoke: Extract %d times, average time %f ms" %(n, IBE_RevokeExtTime/n*1000))
##print("IBE_Revoke: Enc random message %d times, average time %f ms" %(n, IBE_RevokeEncTime/n*1000))
##print("IBE_Revoke: Dec %d times, average time %f ms" %(n, IBE_RevokeDecTime/n*1000))
#group = PairingGroup('SS512')
#group = PairingGroup('MNT224')
if(1):
waters_hash = Waters(group)
ibe = IBE_N04(group)
IBE_N04SetupTime = 0.0
IBE_N04ExtTime = 0.0
IBE_N04EncTime = 0.0
IBE_N04DecTime = 0.0
for i in range(0, n):
startTime = time.time()
(master_public_key, master_key) = ibe.setup()
IBE_N04SetupTime += time.time() - startTime
ID = randomStringGen()
kID = waters_hash.hash(ID)
startTime = time.time()
secret_key = ibe.extract(master_key, kID)
IBE_N04ExtTime += time.time() - startTime
## cipher_text = ibe.encrypt(master_public_key, msg, S)
## IBE_RevokeEncTime += time.time() - startTime
##
## startTime = time.time()
## decrypted_msg = ibe.decrypt(S, cipher_text, secret_key)
## IBE_RevokeDecTime += time.time() - startTime
##print("\nAllison Lewko, Amit Sahai and Brent Waters, Revocation Systems with Very Small Private Keys")
###print("Group: SS512")
##print("IBE_Revoke: Extract %d times, average time %f ms" %(n, IBE_RevokeExtTime/n*1000))
##print("IBE_Revoke: Enc random message %d times, average time %f ms" %(n, IBE_RevokeEncTime/n*1000))
##print("IBE_Revoke: Dec %d times, average time %f ms" %(n, IBE_RevokeDecTime/n*1000))
#group = PairingGroup('SS512')
#group = PairingGroup('MNT224')
if (1):
waters_hash = Waters(group)
ibe = IBE_N04(group)
IBE_N04SetupTime = 0.0
IBE_N04ExtTime = 0.0
IBE_N04EncTime = 0.0
IBE_N04DecTime = 0.0
for i in range(0, n):
startTime = time.time()
(master_public_key, master_key) = ibe.setup()
IBE_N04SetupTime += time.time() - startTime
ID = randomStringGen()
kID = waters_hash.hash(ID)
startTime = time.time()
secret_key = ibe.extract(master_key, kID)
IBE_N04ExtTime += time.time() - startTime
from charm.core.crypto.cryptobase import *
from charm.toolbox.hash_module import Waters
from charm.schemes.ibenc.ibenc_waters09 import DSE09
import time
import string
import random
def randomStringGen(size=10, chars=string.ascii_uppercase + string.digits):
return ''.join(random.choice(chars) for x in range(size))
b = 1000
group = PairingGroup('SS512')
#group = PairingGroup('/home/zfwise/Downloads/pbc-0.5.12/param/f.param', param_file=True)
global waters_hash
waters_hash = Waters(group)
za = group.random()
zb = group.random()
g = group.random(G1)
h = group.random(G1)
i = group.random(G1)
j = group.random(G2)
k = group.random(G2)
m = group.random(G2)
n = group.random(ZR)
o = group.random(GT)
x = group.random(GT)
y = group.random(GT)
G1add = 0.0
G1sub = 0.0
cllwwSignTime += time.time() - startTime
startTime = time.time()
assert bls.verify(pk, sig, m), "Failure!!!"
cllwwVerifyTime += time.time() - startTime
print("Bls04: Keygen %d times, average time %f ms" %(n, cllwwKeyGenTime/n*1000))
print("Bls04: Sign random message %d times, average time %f ms" %(n, cllwwSignTime/n*1000))
print("Bls04: Verify %d times, average time %f ms" %(n, cllwwVerifyTime/n*1000))
print("&%.2f () &%.2f () &%.2f ()" %(cllwwKeyGenTime/n*1000,
cllwwSignTime/n*1000,
cllwwVerifyTime/n*1000))
#groupObj = PairingGroup('MNT159')
#groupObj = PairingGroup('SS512')
if(1):
ibe = IBE_N04_Sig(groupObj)
waters = Waters(groupObj)
msg = waters.hash("This is a test.")
cllwwKeyGenTime = 0.0
cllwwSignTime = 0.0
cllwwVerifyTime = 0.0
for i in range(0, n):
startTime = time.time()
(pk, sk) = ibe.keygen()
cllwwKeyGenTime += time.time() - startTime
msg = waters.hash(randomStringGen())
startTime = time.time()
sig = ibe.sign(pk, sk, msg)
cllwwSignTime += time.time() - startTime
startTime = time.time()
def __init__(self, groupObj, z, l=32):
global group, lam_func
global waters
group = groupObj
waters = Waters(group, z, l)
lam_func = lambda i, a, b: a[i]**b[i]