def KeyPairGenerate():
G = ecp2.generator()
s = big.rand(curve.r)
W = s * G
SK = big.to_bytes(s)
PK = W.toBytes(True) #set to True to compress public key
return (SK, PK)
def KeyPairGenerate():
G=ecp2.generator()
s = big.rand(curve.r)
W=s*G
SK = big.to_bytes(s)
PK = W.toBytes()
return (SK,PK)
def init():
global G2_TAB
G = ecp2.generator()
if G.isinf() :
return False
G2_TAB = pair.precomp(G)
return True
def server(ID, Y, SS, U, V):
P = H(ID)
y = big.from_bytes(Y)
Q = ecp2.generator()
P = y * P
sQ = ECp2()
if not sQ.fromBytes(SS):
return (False, Fp12(), Fp12())
TU = ECp()
if not TU.fromBytes(U):
return (False, bytearray(0), bytearray(0))
TV = ECp()
if not TV.fromBytes(V):
return (False, bytearray(0), bytearray(0))
TU.add(P)
# TU.affine()
r = pair.double_ate(Q, TV, sQ, TU)
r = pair.fexp(r)
if r.isone():
return (True, bytearray(0), bytearray(0))
# failed - diagnose it
E = r.toBytes()
r = pair.e(Q, TU)
F = r.toBytes()
return (False, E, F)
def server(ID, Y, SS, U, V):
P = H(ID)
y = big.from_bytes(Y)
Q = ecp2.generator()
P = y * P
sQ = ECp2()
if not sQ.fromBytes(SS):
return (False, Fp12(), Fp12())
TU = ECp()
if not TU.fromBytes(U):
return (False, bytearray(0), bytearray(0))
TV = ECp()
if not TV.fromBytes(V):
return (False, bytearray(0), bytearray(0))
TU.add(P)
# TU.affine()
r = pair.double_ate(Q, TV, sQ, TU)
r = pair.fexp(r)
if r.isone():
return (True, bytearray(0), bytearray(0))
# failed - diagnose it
E = r.toBytes()
r = pair.e(Q, TU)
F = r.toBytes()
return (False, E, F)
def KeyPairGenerate():
G = ecp2.generator()
s = big.rand(curve.r)
W = s * G
SK = big.to_bytes(s)
PK = W.toBytes()
return (SK, PK)
def verify(SIG,m,W):
HM=BLS_H(m)
G=ecp2.generator()
D=ECp()
D.fromBytes(SIG)
PK=ECp2()
PK.fromBytes(W)
D=-D
# Use new multi-pairing mechanism
r=pair.initmp()
pair.another(r,G,D)
pair.another(r,PK,HM)
v=pair.miller(r)
#.. or alternatively
# v = pair.double_ate(G, D, PK, HM)
v = pair.fexp(v)
if v.isone():
return True
return False
def verify(SIG, m, W):
HM = BLS_H(m)
G = ecp2.generator()
D = ECp()
D.fromBytes(SIG)
PK = ECp2()
PK.fromBytes(W)
D = -D
# Use new multi-pairing mechanism
r = pair.initmp()
pair.another(r, G, D)
pair.another(r, PK, HM)
v = pair.miller(r)
#.. or alternatively
# v = pair.double_ate(G, D, PK, HM)
v = pair.fexp(v)
if v.isone():
return True
return False
def get_server_secret(Z):
Q = ecp2.generator()
s = big.from_bytes(Z)
Q = s * Q
return Q.toBytes(False)
def get_server_secret(Z):
Q = ecp2.generator()
s = big.from_bytes(Z)
Q = s * Q
return Q.toBytes()
