def DecryptECIES(curve_name, R, enc, t, pwd):
'''Performs ECIES decryption.'''
# Setup for Decryption
E = PredefinedCurves(curve_name)
# Get secret key s
hashpwd = SHA512.new(pwd).hexdigest() + RIPEMD.new(pwd).hexdigest()
s = int(str(int(hashpwd,16))[0: len(str(E.N))]) % E.N
if s < 2:
s = E.N/2
# Begin Decryption
Z = E.multPoint(s,R)
RZ = str(R)+str(Z)
H1 = SHA512.new(RZ).hexdigest()
k1 = H1[0:32]
k2 = H1[32:128]
H2 = RIPEMD.new(enc+k2).digest()
# If the hashes don't match, stop
if base64.b64decode(t) != H2:
return "Error: Hashes don't match! Your public key password is most likely incorrect. It is also possible, though improbable, that you selected the wrong encrypted image."
cipher = AES.new(k1)
message = cipher.decrypt(base64.b64decode(enc))
return message
def PublicKeyECIES(curve_name, pwd, im):
'''Create ECIES public key, create the associated binary string, and pass to the image encoder.'''
# --------------------------
# ECIES Public Key Creation
# --------------------------
E = PredefinedCurves(curve_name)
# Generate secret key s via a password hashing.
# Use a concatonation of two hash functions to make sure we have enough characters to get a full strength secret key.
# For full strenth we need: number of digits of integer version of hash >= numbber of digits of the prime we're working over.
hashpwd = SHA512.new(pwd).hexdigest() + RIPEMD.new(pwd).hexdigest()
# Convert from hex to int, make hashpwd the same length as the order of the point we're using, then take it modulo order.
s = int(str(int(hashpwd,16))[0: len(str(E.N))]) % E.N
# If s = 0 or s = 1 (very unlikely), we want to use a different value.
if s < 2:
s = E.N/2
# Use the secret key s to generate the public key.
B = E.multPoint(s, E.A)
# -------------------------------------------------------------
# Create a binary string from the given public key information
# -------------------------------------------------------------
#
# Create a binary string with public key info separated by 2's.
# End the string with consecutive 2's.
#
# The information is encoded in the following order:
#
# 0. Initial check string.
# 1. Length of curve name.
# 2. x-coordinate of ellipitc curve point B.
# 3. y-coordinate of ellipitc curve point B.
# 4. Curve name.
# -------------------------------------------------------------
# Change curve name to binary, each character separated by a 2.
curve_name_bin = '2'.join([bin(ord(ch)).lstrip('0b') for ch in curve_name])
# Initialize our string as "111111" so we have a quick check that our file is valid when decoding.
bit_string = '1111112'
# Now append on the binary public key information with a '2' separating each entry.
# Note: curve_name_bin already ends in 2 so we only need to add one 2 at the final step.
bit_string += bin(len(curve_name)).lstrip('0b') + '2'
bit_string += bin(B[0]).lstrip('0b') + '2'
bit_string += bin(B[1]).lstrip('0b') + '2'
bit_string += curve_name_bin + '2'
return EncodeImageInfo(bit_string, im)
def EncryptECIES(curve_name, B, msg, im):
'''Perform ECIES encryption, create the associated binary string, and pass to the image encoder.'''
E = PredefinedCurves(curve_name)
# Make sure the length is correct, otherwise add white space. For AES message length must be multiple of 16.
while len(msg) % 16 != 0:
msg += ' '
# Begin ECIES Encryption.
k = random.randint(2, E.N-1)
R = E.multPoint(k, E.A)
Z = E.multPoint(k, B)
RZ = str(R)+str(Z)
H1 = SHA512.new()
H1.update(RZ)
k1 = H1.hexdigest()[0:32]
k2 = H1.hexdigest()[32:128]
cipher = AES.new(k1)
enc = base64.b64encode(cipher.encrypt(msg))
H2 = RIPEMD.new()
H2.update(enc+k2)
t = base64.b64encode(H2.digest())
# ---------------------------------------------------------------
# Create a binary string from the given encrypted msg information
# ---------------------------------------------------------------
#
# Create a binary string with encrypted msg info separated by 2's.
# End the string with consecutive 2's.
#
# The information is encoded in the following order:
#
# 1. Initial check string.
# 2. Length of curve name.
# 3. Length of the encrypted message.
# 4. x-coordinate of ellipitc curve point R.
# 5. y-coordinate of ellipitc curve point R.
# 6. t, the authentication hash value
# 7. Curve name.
# 8. Encrypted message.
# ---------------------------------------------------------------
# Convert each character in t, curve_name, and enc to binary with 2's separating each character.
t_bin = '2'.join([bin(ord(ch)).lstrip('0b') for ch in t])
curve_name_bin = '2'.join([bin(ord(ch)).lstrip('0b') for ch in curve_name])
enc_bin = '2'.join([bin(ord(ch)).lstrip('0b') for ch in enc])
# Initialize our string as "110011" so we have a quick check that our file is valid when decoding.
bit_string = "1100112"
# Now append on the binary public key information with a "2" separating each entry.
bit_string += bin(len(curve_name)).lstrip('0b') + '2'
bit_string += bin(len(enc)).lstrip('0b') + '2'
bit_string += bin(R[0]).lstrip('0b') + '2'
bit_string += bin(R[1]).lstrip('0b') + '2'
bit_string += t_bin + '2'
bit_string += curve_name_bin + '2'
bit_string += enc_bin + '22'
return EncodeImageInfo(bit_string, im)