def MLSAG_Gen(pk, xx, index ):
rows = len(xx)
cols = len(pk[0])
print("Generating MG sig of size ", rows, "x", cols)
c= [None] * cols
alpha = skvGen(rows)
I = keyImageV(xx)
L = keyMatrix(rows, cols)
R = keyMatrix(rows, cols)
s = keyMatrix(rows, cols)
m = ''.join(pk[0])
for i in range(1, cols):
m = m + ''.join(pk[i])
L[index] = [MiniNero.scalarmultBase(aa) for aa in alpha] #L = aG
Hi = hashKeyVector(pk[index])
R[index] = [MiniNero.scalarmultKey(Hi[ii], alpha[ii]) for ii in range(0, rows)] #R = aI
oldi = index
i = (index + 1) % cols
c[i] = MiniNero.cn_fast_hash(m+''.join(L[oldi]) + ''.join(R[oldi]))
while i != index:
s[i] = skvGen(rows)
L[i] = [MiniNero.addKeys1(s[i][j], c[i], pk[i][j]) for j in range(0, rows)]
Hi = hashKeyVector(pk[i])
R[i] = [MiniNero.addKeys2( s[i][j], Hi[j], c[i], I[j]) for j in range(0, rows)]
oldi = i
i = (i + 1) % cols
c[i] = MiniNero.cn_fast_hash(m+''.join(L[oldi]) + ''.join(R[oldi]))
print("L", L)
print("R", R)
s[index] = [MiniNero.sc_mulsub_keys(alpha[j], c[index], xx[j]) for j in range(0, rows)] #alpha - c * x
return I, c[0], s
def LLW_Sig(pk, xx, index):
n = len(pk)
print("Generating LLW sig of length ", n)
L = [None] * n
R = [None] * n
c = [None] * n
s = [PaperWallet.skGen() for i in range(0, n)]
HP = [MiniNero.hashToPoint_ct(i) for i in pk]
pj = ''.join(pk)
keyimage = keyImage(xx) #ok
s[index] = MiniNero.mul_8(s[index])
L[index] = MiniNero.scalarmultBase(s[index])
R[index] = MiniNero.scalarmultKey(HP[index], s[index]) #aH
j = (index + 1) % n
c[j] = MiniNero.cn_fast_hash(pj + L[index] + R[index])
while j != index:
L[j] = MiniNero.addKeys(MiniNero.scalarmultBase(s[j]),
MiniNero.scalarmultKey(pk[j],
c[j])) #Lj = sG + cxG
R[j] = MiniNero.addKeys(MiniNero.scalarmultKey(HP[j], s[j]),
MiniNero.scalarmultKey(keyimage,
c[j])) #Rj = sH + cxH
cj = (j + 1) % n
c[cj] = MiniNero.cn_fast_hash(pj + L[j] +
R[j]) #c j+1 = H(pk + Lj + Rj
j = cj #increment j
s[index] = MiniNero.sc_mulsub_keys(s[index], c[index],
xx) #si = a - c x so a = s + c x
print("sigma = ", keyimage, c[0], s[:])
return keyimage, c[0], s[:]
def GenSchnorrNonLinkable(x, P1, P2, index):
if index == 0:
a = PaperWallet.skGen()
L1 = MiniNero.scalarmultBase(a)
s2 = PaperWallet.skGen()
c2 = MiniNero.cn_fast_hash(L1)
L2 = MiniNero.addKeys(MiniNero.scalarmultBase(s2), MiniNero.scalarmultKey(P2, c2))
c1 = MiniNero.cn_fast_hash(L2)
s1 = MiniNero.sc_mulsub_keys(a, x, c1)
if index == 1:
a = PaperWallet.skGen()
L2 = MiniNero.scalarmultBase(a)
s1 = PaperWallet.skGen()
c1 = MiniNero.cn_fast_hash(L2)
L1 = MiniNero.addKeys(MiniNero.scalarmultBase(s1), MiniNero.scalarmultKey(P1, c1))
c2 = MiniNero.cn_fast_hash(L1)
s2 = MiniNero.sc_mulsub_keys(a, x, c2)
return L1, s1, s2,
def GenSchnorrNonLinkable(x, P1, P2, index):
if index == 0:
a = PaperWallet.skGen()
L1 = MiniNero.scalarmultBase(a)
s2 = PaperWallet.skGen()
c2 = MiniNero.cn_fast_hash(L1)
L2 = MiniNero.addKeys(MiniNero.scalarmultBase(s2),
MiniNero.scalarmultKey(P2, c2))
c1 = MiniNero.cn_fast_hash(L2)
s1 = MiniNero.sc_mulsub_keys(a, x, c1)
if index == 1:
a = PaperWallet.skGen()
L2 = MiniNero.scalarmultBase(a)
s1 = PaperWallet.skGen()
c1 = MiniNero.cn_fast_hash(L2)
L1 = MiniNero.addKeys(MiniNero.scalarmultBase(s1),
MiniNero.scalarmultKey(P1, c1))
c2 = MiniNero.cn_fast_hash(L1)
s2 = MiniNero.sc_mulsub_keys(a, x, c2)
return L1, s1, s2,
def MLSAG_Gen(pk, xx, index):
rows = len(xx)
cols = len(pk)
print("Generating MG sig of size ", rows, "x", cols)
print("index is:", index)
print("checking if I can actually sign")
print(pk[index])
print([MiniNero.scalarmultBase(x) for x in xx])
c = [None] * cols
alpha = skvGen(rows)
I = keyImageV(xx)
L = keyMatrix(rows, cols)
R = keyMatrix(rows, cols)
s = keyMatrix(rows, cols)
m = ''.join(pk[0])
for i in range(1, cols):
m = m + ''.join(pk[i])
L[index] = [MiniNero.scalarmultBase(aa) for aa in alpha] #L = aG
Hi = hashKeyVector(pk[index])
R[index] = [
MiniNero.scalarmultKey(Hi[ii], alpha[ii]) for ii in range(0, rows)
] #R = aI
oldi = index
i = (index + 1) % cols
c[i] = MiniNero.cn_fast_hash(m + ''.join(L[oldi]) + ''.join(R[oldi]))
while i != index:
s[i] = skvGen(rows)
L[i] = [
MiniNero.addKeys1(s[i][j], c[i], pk[i][j]) for j in range(0, rows)
]
Hi = hashKeyVector(pk[i])
R[i] = [
MiniNero.addKeys2(s[i][j], Hi[j], c[i], I[j])
for j in range(0, rows)
]
oldi = i
i = (i + 1) % cols
c[i] = MiniNero.cn_fast_hash(m + ''.join(L[oldi]) + ''.join(R[oldi]))
print("L", L)
print("R", R)
s[index] = [
MiniNero.sc_mulsub_keys(alpha[j], c[index], xx[j])
for j in range(0, rows)
] #alpha - c * x
return I, c[0], s
def MLSAG_Sign(pk, xx, index):
rows = len(xx)
cols = len(pk[0])
print("Generating MLSAG sig of dimensions ",rows ,"x ", cols)
L = [[None] * cols] #list of keyvectors? except it's indexed by cols... it's kind of internal actually
R = [[None] * cols]
s = [[PaperWallet.skGen() for i in range(0, cols)] ] #first index is rows, second is cols, wonder if I should switch that..
HP = [[MiniNero.hashToPoint_cn(i) for i in pk[0]]]
pj = ''.join(pk[0])
for i in range(1, rows):
L.append([None] * cols)
R.append([None] * cols)
s.append([PaperWallet.skGen() for j in range(0, cols)])
HP.append([MiniNero.hashToPoint_cn(j) for j in pk[i]])
pj = pj + ''.join(pk[i])
c= [None] * cols #1-dimensional
keyimage = keyImage(xx, rows) #ok
for i in range(0, rows):
L[i][index] = MiniNero.scalarmultBase(s[i][index]) #aG
R[i][index] = MiniNero.scalarmultKey(HP[i][index], s[i][index]) #aH
j = (index + 1) % cols
tohash = pj
for i in range(0, rows):
tohash = tohash + L[i][index] + R[i][index]
c[j] = MiniNero.cn_fast_hash(tohash)
while j != index:
tohash = pj
for i in range(0, rows):
L[i][j] = MiniNero.addKeys(MiniNero.scalarmultBase(s[i][j]), MiniNero.scalarmultKey(pk[i][j], c[j])) #Lj = sG + cxG
R[i][j] = MiniNero.addKeys(MiniNero.scalarmultKey(HP[i][j], s[i][j]), MiniNero.scalarmultKey(keyimage[i], c[j])) #Rj = sH + cxH
tohash = tohash + L[i][j] + R[i][j]
j = (j + 1) % cols
c[j] = MiniNero.cn_fast_hash(tohash)
for i in range(0, rows):
s[i][index] = MiniNero.sc_mulsub_keys(s[i][index], c[index], xx[i]) #si = a - c x so a = s + c x
return keyimage, c[0], s
def LLW_Sig(pk, xx, index ):
n = len(pk)
print("Generating LLW sig of length ", n)
L = [None] * n
R = [None] * n
c= [None] * n
s = [PaperWallet.skGen() for i in range(0, n)]
HP = [MiniNero.hashToPoint_ct(i) for i in pk]
pj = ''.join(pk)
keyimage = keyImage(xx) #ok
s[index] = MiniNero.mul_8(s[index])
L[index] = MiniNero.scalarmultBase(s[index])
R[index] = MiniNero.scalarmultKey(HP[index], s[index]) #aH
j = (index + 1) % n
c[j] = MiniNero.cn_fast_hash(pj+L[index]+R[index])
while j != index:
L[j] = MiniNero.addKeys(MiniNero.scalarmultBase(s[j]), MiniNero.scalarmultKey(pk[j], c[j])) #Lj = sG + cxG
R[j] = MiniNero.addKeys(MiniNero.scalarmultKey(HP[j], s[j]), MiniNero.scalarmultKey(keyimage, c[j])) #Rj = sH + cxH
cj = (j + 1) % n
c[cj] = MiniNero.cn_fast_hash(pj + L[j] + R[j]) #c j+1 = H(pk + Lj + Rj
j = cj #increment j
s[index] = MiniNero.sc_mulsub_keys(s[index], c[index], xx) #si = a - c x so a = s + c x
print("sigma = ", keyimage, c[0], s[:])
return keyimage, c[0], s[:]