def _challenge(elements):
"""Packages a challenge in a bijective way"""
elem = [len(elements)] + elements
elem_str = list(map(str, elem))
elem_len = list(map(lambda x: "%s||%s" % (len(x), x), elem_str))
state = "|".join(elem_len)
H = sha256()
H.update(state.encode("utf8"))
return Bn.from_binary(H.digest())
def mix_server_n_hop(private_key, message_list, use_blinding_factor=False, final=False):
""" Decodes a NHopMixMessage message and outputs either messages destined
to the next mix or a list of tuples (address, message) (if final=True) to be
sent to their final recipients.
Broadly speaking the mix will process each message in turn:
- it derives a shared key (using its private_key),
- checks the first hmac,
- decrypts all other parts,
- Either forwards or decodes the message.
The implementation of the blinding factor is optional and therefore only activated
in the bonus tests.
"""
G = EcGroup()
out_queue = []
# Process all messages
for msg in message_list:
## Check elements and lengths
if not G.check_point(msg.ec_public_key) or \
not isinstance(msg.hmacs, list) or \
not len(msg.hmacs[0]) == 20 or \
not len(msg.address) == 258 or \
not len(msg.message) == 1002:
raise Exception("Malformed input message")
## First get a shared key
shared_element = private_key * msg.ec_public_key
key_material = sha512(shared_element.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
# Extract a blinding factor for the public_key
# (only if you're brave enough for the bonus task)
new_ec_public_key = msg.ec_public_key
if (use_blinding_factor):
blinding_factor = Bn.from_binary(key_material[48:])
new_ec_public_key = blinding_factor * msg.ec_public_key
## Check the HMAC
h = Hmac(b"sha512", hmac_key)
for other_mac in msg.hmacs[1:]:
h.update(other_mac)
h.update(msg.address)
h.update(msg.message)
expected_mac = h.digest()
if not secure_compare(msg.hmacs[0], expected_mac[:20]):
raise Exception("HMAC check failure")
# Decrypt hmacs
new_hmacs = []
for i, other_mac in enumerate(msg.hmacs[1:]):
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00"*14)
hmac_plaintext = aes_ctr_enc_dec(hmac_key, iv, other_mac)
new_hmacs += [hmac_plaintext]
# Decrypt address & message
iv = b"\x00"*16
address_plaintext = aes_ctr_enc_dec(address_key, iv, msg.address)
message_plaintext = aes_ctr_enc_dec(message_key, iv, msg.message)
if final:
# Decode the address and message
address_len, address_full = unpack("!H256s", address_plaintext)
message_len, message_full = unpack("!H1000s", message_plaintext)
out_msg = (address_full[:address_len], message_full[:message_len])
out_queue += [out_msg]
else:
# Pass the new mix message to the next mix
out_msg = NHopMixMessage(new_ec_public_key, new_hmacs, address_plaintext, message_plaintext)
out_queue += [out_msg]
return out_queue
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
shared_element = None
address_cipher = None
message_cipher = None
hmacs = []
hmackeys = []
messkeys = []
addkeys = []
messciphers = []
addciphers = []
for i in range(len(public_keys)):
## First get a shared key #*
shared_element = private_key * public_keys[i]
key_material = sha512(shared_element.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16] # This section: like the beginning of mix_server_n_hop
address_key = key_material[16:32]
message_key = key_material[32:48]
# Extract a blinding factor for the new private key
blinding_factor = Bn.from_binary(key_material[48:])
private_key = blinding_factor * private_key #*
# Add keys to corresponding arrays
hmackeys += [hmac_key]
addkeys += [address_key]
messkeys += [message_key]
for i in range(len(public_keys)):
# Encrypt address & message
iv = b"\x00"*16
if i==0:
address_cipher = aes_ctr_enc_dec(addkeys[len(public_keys)-1-i], iv, address_plaintext)
message_cipher = aes_ctr_enc_dec(messkeys[len(public_keys)-1-i], iv, message_plaintext)
else:
address_cipher = aes_ctr_enc_dec(addkeys[len(public_keys)-1-i], iv, address_cipher)
message_cipher = aes_ctr_enc_dec(messkeys[len(public_keys)-1-i], iv, message_cipher)
messciphers += [message_cipher]
addciphers += [address_cipher]
for i in range(len(public_keys)):
# Encryption of hmacs. Individual as we need whole ciphertext to compute macs correctly
# Use mac keys in reverse as last ciphertext needs first key
new_hmacs = []
for j, other_mac in enumerate(hmacs):
# Ensure IV is not the same for each hmac
iv = pack("H14s", j, b"\x00"*14)
hmac_plaintext = aes_ctr_enc_dec(hmackeys[len(public_keys)-1-i], iv, other_mac)
new_hmacs += [hmac_plaintext]
h = Hmac(b"sha512", hmackeys[len(public_keys)-1-i])
# Calculate new digest
new_hmacs = new_hmacs[::-1]
for other_mac in reversed(new_hmacs):
h.update(other_mac)
h.update(addciphers[i])
h.update(messciphers[i])
digest = h.digest()
digest = digest[:20]
new_hmacs += [digest]
hmacs = new_hmacs[::-1]
hmacs = new_hmacs[::-1]
return NHopMixMessage(client_public_key, hmacs, address_cipher, message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
key_materials = []
# First go through the list in the regular order
# in order to extract the key material.
# It can be done only in this direction because
# of the blinding factor
for public_key in public_keys:
# First get a shared key
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
key_materials.insert(0, key_material)
# Extract a blinding factor for the public_key
blinding_factor = Bn.from_binary(key_material[48:])
private_key = blinding_factor * private_key
address_cipher = address_plaintext
message_cipher = message_plaintext
hmacs = []
# Then we can go in the reverse direction
# to encapulate the message as many times as necessary
for j, public_key in enumerate(reversed(public_keys)):
key_material = key_materials[j] # this is already in reverse
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
# Encrypt address & message
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# Encrypt hmacs
new_hmacs = []
for i, other_mac in enumerate(hmacs):
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00" * 14)
hmac_ciphertext = aes_ctr_enc_dec(hmac_key, iv, other_mac)
new_hmacs += [hmac_ciphertext]
hmacs = new_hmacs
# Calculate the HMAC
h = Hmac(b"sha512", hmac_key)
for other_mac in hmacs:
h.update(other_mac)
h.update(address_cipher)
h.update(message_cipher)
hmac = h.digest()
hmacs.insert(0, hmac[:20])
return NHopMixMessage(client_public_key, hmacs, address_cipher, message_cipher)
def mix_server_n_hop(private_key, message_list, final=False):
""" Decodes a NHopMixMessage message and outputs either messages destined
to the next mix or a list of tuples (address, message) (if final=True) to be
sent to their final recipients.
Broadly speaking the mix will process each message in turn:
- it derives a shared key (using its private_key),
- checks the first hmac,
- decrypts all other parts,
- either forwards or decodes the message.
"""
G = EcGroup()
out_queue = []
# Process all messages
for msg in message_list:
## Check elements and lengths
if not G.check_point(msg.ec_public_key) or \
not isinstance(msg.hmacs, list) or \
not len(msg.hmacs[0]) == 20 or \
not len(msg.address) == 258 or \
not len(msg.message) == 1002:
raise Exception("Malformed input message")
## First get a shared key
shared_element = private_key * msg.ec_public_key
key_material = sha512(shared_element.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
# Extract a blinding factor for the public_key
blinding_factor = Bn.from_binary(key_material[48:])
new_ec_public_key = blinding_factor * msg.ec_public_key
## Check the HMAC
h = Hmac(b"sha512", hmac_key)
for other_mac in msg.hmacs[1:]:
h.update(other_mac)
h.update(msg.address)
h.update(msg.message)
expected_mac = h.digest()
if not secure_compare(msg.hmacs[0], expected_mac[:20]):
raise Exception("HMAC check failure")
## Decrypt the hmacs, address and the message
aes = Cipher("AES-128-CTR")
# Decrypt hmacs
new_hmacs = []
for i, other_mac in enumerate(msg.hmacs[1:]):
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00" * 14)
hmac_plaintext = aes_ctr_enc_dec(hmac_key, iv, other_mac)
new_hmacs += [hmac_plaintext]
# Decrypt address & message
iv = b"\x00" * 16
address_plaintext = aes_ctr_enc_dec(address_key, iv, msg.address)
message_plaintext = aes_ctr_enc_dec(message_key, iv, msg.message)
if final:
# Decode the address and message
address_len, address_full = unpack("!H256s", address_plaintext)
message_len, message_full = unpack("!H1000s", message_plaintext)
out_msg = (address_full[:address_len], message_full[:message_len])
out_queue += [out_msg]
else:
# Pass the new mix message to the next mix
out_msg = NHopMixMessage(new_ec_public_key, new_hmacs,
address_plaintext, message_plaintext)
out_queue += [out_msg]
return out_queue
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
iv = b"\x00" * 16
# caluculate the blinding factor of all the
# hops, can't be done during hmacs as it's in a different order.
#
blind_factors = []
shared_keys = []
for i, k in enumerate(public_keys):
if i == 0:
blind_factors.append(1)
else:
pub_key = public_keys[i - 1]
# The shared key that the hop will use to calculate the factor
shared_key = shared_keys[i - 1]
key_digest = sha512(shared_key).digest()
# the blinding factor that they will use
blinding_factor = Bn.from_binary(key_digest[48:])
blind_factors.append(blinding_factor)
shared_key = public_keys[i].pt_mul(private_key)
for j, fac in enumerate(blind_factors[0:i + 1]):
shared_key = shared_key.pt_mul(blind_factors[j])
shared_key = shared_key.export()
shared_keys.append(shared_key)
## Reverse the key lists, since we will compute hmacs in reverse order
shared_keys.reverse()
public_keys.reverse()
message_ciphers = []
address_ciphers = []
hmacs = []
previous_hmac_key = None
for i, pub in enumerate(public_keys):
# Get shared key from precomputed list
shared_key = shared_keys[i]
key_digest = sha512(shared_key).digest()
address_key = key_digest[16:32]
message_key = key_digest[32:48]
hmac_key = key_digest[:16]
## 1. Encrypt The Message
if i == 0:
message_cipher = aes_ctr_enc_dec(message_key, iv,
message_plaintext)
address_cipher = aes_ctr_enc_dec(address_key, iv,
address_plaintext)
else:
message_cipher = aes_ctr_enc_dec(message_key, iv,
message_ciphers[i - 1])
address_cipher = aes_ctr_enc_dec(address_key, iv,
address_ciphers[i - 1])
message_ciphers.append(message_cipher)
address_ciphers.append(address_cipher)
## 2. Encrypt the old HMACs
for q, mac in enumerate(hmacs):
iv = pack("H14s", len(hmacs) - q - 1, b"\x00" * 14)
hmacs[q] = aes_ctr_enc_dec(hmac_key, iv, mac)
previous_hmac_key = hmac_key
## 3. Compute the new HMAC
h = Hmac(b"sha512", hmac_key)
## Iterate backwards through the previous hmacs
for old_mac in hmacs[::-1]:
h.update(old_mac)
h.update(address_ciphers[i])
h.update(message_ciphers[i])
new_mac = h.digest()
hmacs.append(new_mac[:20])
# Hmacs were built in reverse order, put them back in order
hmacs.reverse()
return NHopMixMessage(client_public_key, hmacs,
address_ciphers[len(address_ciphers) - 1],
message_ciphers[len(message_ciphers) - 1])
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
hmacs = []
address_cipher = address_plaintext
message_cipher = message_plaintext
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
blinding_factor = Bn(1)
new_ec_public_keys = []
## ADD CODE HERE
i = 0
for public_key in public_keys:
# We don't want to blind the first key
if i == 0:
new_ec_public_keys.append(public_key)
else:
## First get a shared key
## public key part is the last seen public key
shared_element = private_key * new_ec_public_keys[-1]
key_material = sha512(shared_element.export()).digest()
# Building up list of all public keys - they have been blinded
blinding_factor *= Bn.from_binary(key_material[48:])
new_ec_public_keys.append(blinding_factor * public_key)
i += 1
# Want to encrypt message with the first mix's key on the outside - reverse our public keys for this
for key in reversed(new_ec_public_keys):
## First get a shared key
shared_element = private_key * key
key_material = sha512(shared_element.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
iv = b"\x00" * 16
# Build cipher on top of cipher from last mix to create message such as P1(P2(P3...(M)...))
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
## Check the HMAC
h = Hmac(b"sha512", hmac_key)
# Decrypt hmacs
new_hmacs = []
for i, other_mac in enumerate(hmacs):
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00" * 14)
hmac_plaintext = aes_ctr_enc_dec(hmac_key, iv, other_mac)
h.update(hmac_plaintext)
new_hmacs += [hmac_plaintext]
h.update(address_cipher)
h.update(message_cipher)
expected_mac = h.digest()[:20]
hmacs = [expected_mac] + new_hmacs
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
address_cipher = None
message_cipher = None
hmacs = []
blinded_public_keys = [public_keys[0]]
blinding_factor = Bn(1)
for public_key in public_keys[1:]:
## First get a shared key
shared_element = private_key * blinded_public_keys[-1]
key_material = sha512(shared_element.export()).digest()
blinding_factor *= Bn.from_binary(key_material[48:])
blind_pk = blinding_factor * public_key
blinded_public_keys.append(blind_pk)
blinded_public_keys.reverse()
for public_key in blinded_public_keys:
# ## First get a shared key
# Get a shared key
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
h = Hmac(b"sha512", hmac_key)
for other_mac in hmacs:
h.update(other_mac)
if address_cipher is None:
address_cipher = aes_ctr_enc_dec(address_key, b'\x00' * 16,
address_plaintext)
else:
address_cipher = aes_ctr_enc_dec(address_key, b'\x00' * 16,
address_cipher)
if message_cipher is None:
message_cipher = aes_ctr_enc_dec(message_key, b'\x00' * 16,
message_plaintext)
else:
message_cipher = aes_ctr_enc_dec(message_key, b'\x00' * 16,
message_cipher)
h.update(address_cipher)
h.update(message_cipher)
mac = h.digest()[:20]
hmacs.append(mac)
hmacs.reverse()
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
shared_keys = []
# PART 1
# use of a blinding factor to provide bit-wise unlikability of
# the public key associated with the message
for public_key in public_keys:
# get a shared key
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
# store into list from back to front
shared_keys = [key_material] + shared_keys
# update private key value of client with a blinding factor for next shared key derivation
private_key = private_key * Bn.from_binary(key_material[48:])
address_cipher = address_plaintext
message_cipher = message_plaintext
# PART 2
# inclusion of a (list) of hmacs as the second part of the mix message
# done in reverse order to compute hmacs
hmacs = []
for i, public_key in enumerate(reversed(shared_keys)):
# Use different parts of the shared key for different operations
hmac_key = shared_keys[i][:16]
address_key = shared_keys[i][16:32]
message_key = shared_keys[i][32:48]
# Ecrypt the address and the message
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# Check HMAC
h = Hmac(b"sha512", hmac_key)
# PART 3
# Encryption of the hmacs (in addition to the address and message) at each step of mixing
# loop skipped on first call
for j, other_hmac in enumerate(hmacs):
# Ensure the IV is different for each hmac
iv = pack("H14s", j, b"\x00" * 14)
hmacs[j] = aes_ctr_enc_dec(hmac_key, iv, other_hmac)
h.update(hmacs[j])
h.update(address_cipher)
h.update(message_cipher)
hmacs = [h.digest()[:20]] + hmacs ## add result to hmacs list
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
# Initialize list of key_material
key_material_list = []
# Iterate the list of public keys
for public_key in public_keys:
# Get shared key
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
# Insert at the head of the list
key_material_list.insert(0, key_material)
# Extract a blinding factor for the public_key
blinding_factor = Bn.from_binary(key_material[48:])
# Change key using blinding factor
private_key *= blinding_factor
# Initialize
hmacs = []
address_cipher = address_plaintext
message_cipher = message_plaintext
# Iterate the public keys in reverse order
for i, public_key in enumerate(public_keys[::-1]):
# Use different parts of the shared key for different operations
hmac_key = key_material_list[i][:16]
address_key = key_material_list[i][16:32]
message_key = key_material_list[i][32:48]
# Encrypt address & message
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# Generate HMAC
h = Hmac(b"sha512", hmac_key)
# Generate new hmacs
for i, hmac in enumerate(hmacs):
iv = pack("H14s", i, b"\x00" * 14)
new_hmac = aes_ctr_enc_dec(hmac_key, iv, hmac)
hmacs[i] = new_hmac
h.update(hmacs[i])
h.update(address_cipher)
h.update(message_cipher)
hmac = h.digest()[:20]
hmacs.insert(0, hmac)
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
# initilise lists for hmacs and blinding_keys
hmacs = []
blinding_keys = []
# initilise variables
address_cipher = address_plaintext
message_cipher = message_plaintext
# initial blinding_factor set to 1
blinding_factor = Bn(1)
# append first public key to list
blinding_keys.append(public_keys[0])
length = len(public_keys)
for i in range(1, length):
# generate shared element
shared = private_key * blinding_keys[-1]
material = sha512(shared.export()).digest()
# generate another bliding factor
blinding_factor = blinding_factor * Bn.from_binary(material[48:])
# calculate and append blinding factor to a list
public_key = public_keys[i]
blinding_keys = blinding_keys + [blinding_factor * public_key]
# In reverse order calculate message for each hop using generated blinding factors
blinding_keys = reversed(blinding_keys)
for key in blinding_keys:
# generate shared element
shared = private_key * key
material = sha512(shared.export()).digest()
# split shared key for different operations
hmac_key = material[:16]
address_key = material[16:32]
message_key = material[32:48]
# random inistialisation vector
iv = b"\x00"*16
# encoding address and message
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# temporary list of hmacs
temp_hmacs = []
h = Hmac(b"sha512", hmac_key)
for i in range(0,len(hmacs)):
prev_mac = hmacs[i]
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00"*14)
# encode
hmac_plaintext = aes_ctr_enc_dec(hmac_key, iv, prev_mac)
# add the encoded hmac to the temporary list
temp_hmacs = temp_hmacs + [hmac_plaintext]
h.update(hmac_plaintext)
h.update(address_cipher)
h.update(message_cipher)
# turn h into binary
expected_mac = h.digest()
# take first 20 bits
expected_mac = expected_mac[:20]
# insert expected_mac (final mac) to the beggining of the list
temp_hmacs = [expected_mac] + temp_hmacs
# update hmacs list with temp_hmacs list
hmacs = temp_hmacs
return NHopMixMessage(client_public_key, hmacs, address_cipher, message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
# initilise lists for hmacs and blinding_keys
hmacs = []
blinding_keys = []
# initilise variables
address_cipher = address_plaintext
message_cipher = message_plaintext
# initial blinding_factor set to 1
blinding_factor = Bn(1)
# append first public key to list
blinding_keys.append(public_keys[0])
length = len(public_keys)
for i in range(1, length):
# generate shared element
shared = private_key * blinding_keys[-1]
material = sha512(shared.export()).digest()
# generate another bliding factor
blinding_factor = blinding_factor * Bn.from_binary(material[48:])
# calculate and append blinding factor to a list
public_key = public_keys[i]
blinding_keys = blinding_keys + [blinding_factor * public_key]
# In reverse order calculate message for each hop using generated blinding factors
blinding_keys = reversed(blinding_keys)
for key in blinding_keys:
# generate shared element
shared = private_key * key
material = sha512(shared.export()).digest()
# split shared key for different operations
hmac_key = material[:16]
address_key = material[16:32]
message_key = material[32:48]
# random inistialisation vector
iv = b"\x00" * 16
# encoding address and message
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# temporary list of hmacs
temp_hmacs = []
h = Hmac(b"sha512", hmac_key)
for i in range(0, len(hmacs)):
prev_mac = hmacs[i]
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00" * 14)
# encode
hmac_plaintext = aes_ctr_enc_dec(hmac_key, iv, prev_mac)
# add the encoded hmac to the temporary list
temp_hmacs = temp_hmacs + [hmac_plaintext]
h.update(hmac_plaintext)
h.update(address_cipher)
h.update(message_cipher)
# turn h into binary
expected_mac = h.digest()
# take first 20 bits
expected_mac = expected_mac[:20]
# insert expected_mac (final mac) to the beggining of the list
temp_hmacs = [expected_mac] + temp_hmacs
# update hmacs list with temp_hmacs list
hmacs = temp_hmacs
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_cipher = pack("!H256s", len(address), address)
message_cipher = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
hmacs = []
key_materials = []
"""
We need to precompute the private keys that we're going to be use considering
the Blinding Factor. Encryption is back to front but Blinding factor is front to back,
that's why we need to do this in advance.
"""
for pk_i, public_key in enumerate(public_keys):
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
key_materials.append(key_material)
# Apply blinding factor to private key for the next shared key derivation
blinding_factor = Bn.from_binary(key_material[48:])
private_key *= blinding_factor
"""
Iterate list back to front so that encryption is done in correct order.
"""
for i, public_key in enumerate(reversed(public_keys)):
shared_element = private_key * public_key
key_material = key_materials[-(i + 1)]
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
## Encrypt
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
def enc_hmac((index, hmac)):
iv = pack("H14s", index, b"\x00" * 14)
return aes_ctr_enc_dec(hmac_key, iv, hmac)
hmacs = map(enc_hmac, enumerate(hmacs))
## Generate HMAC
h = Hmac(b"sha512", hmac_key)
for other_hmac in hmacs:
h.update(other_hmac)
h.update(address_cipher)
h.update(message_cipher)
expected_mac = h.digest()[:20]
hmacs.insert(0, expected_mac)
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
# ! = Network byte order, H = unsigned short, 256s = string 256 chars long
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
key_materials = []
private_keys = [private_key]
## Create the shared elements and key materials for each of the hops,
## by iterating through the list of public keys provided
for i, hop_public_key in enumerate(public_keys):
## First get a shared key for each mix
shared_element = private_keys[i] * hop_public_key
key_material = sha512(shared_element.export()).digest()
key_materials.append(key_material)
## Extract a blinding factor for this key material
blinding_factor = Bn.from_binary(key_material[48:])
## Get a new private key using the blinding factor for the next mix
new_ec_private_key = blinding_factor * private_keys[i]
private_keys.append(new_ec_private_key)
## Initialization
address_cipher = address_plaintext
message_cipher = message_plaintext
hmacs = []
## This iteration needs to happen in reverse, as we need to "encapsulate"
## the information for the last hop in the info for the second to last etc.
counter = 0
for i, key_material in reversed(list(enumerate(key_materials))):
## Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
## Encrypt the address and the message
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
## Create HMAC
h = Hmac(b"sha512", hmac_key)
print(len(key_materials) - i - 1)
## Encrypt other mac for the mixes after the current one
for j, other_mac in enumerate(hmacs[:counter]):
## iv different for each mac
iv = pack("H14s", j, b"\x00" * 14)
hmac_cipher = aes_ctr_enc_dec(hmac_key, iv, other_mac)
## Add this cipher to the HMAC for the current mix
h.update(hmac_cipher)
## Replace the HMAC for the mixes after the current one by their cipher
hmacs.pop(j)
hmacs.insert(j, hmac_cipher)
## Add the address and message cipher to the HMAC
h.update(address_cipher)
h.update(message_cipher)
## Insert the HMAC at the list top
expected_mac = h.digest()[:20]
hmacs.insert(0, expected_mac)
counter += 1
print('Client: ', hmacs)
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
# Generate key materials
key_materials = []
next_blinding_factor = None
for pubkey in public_keys:
shared_element = None
if not next_blinding_factor is None:
private_key *= next_blinding_factor
shared_element = private_key * pubkey
key_material = sha512(shared_element.export()).digest()
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
next_blinding_factor = Bn.from_binary(key_material[48:])
key_materials += [(hmac_key, address_key, message_key)]
new_hmacs = []
address_cipher = bytes(address_plaintext)
message_cipher = bytes(message_plaintext)
for i, key_material in reversed(list(enumerate(key_materials))):
# Encrypt the address and the message
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(key_material[1], iv, address_cipher)
message_cipher = aes_ctr_enc_dec(key_material[2], iv, message_cipher)
# Encrypt the HMACs
for i, hmac in enumerate(new_hmacs):
iv = pack("H14s", i, b"\x00" * 14)
new_hmacs[i] = aes_ctr_enc_dec(key_material[0], iv, hmac)
# Compute the HMAC
h = Hmac(b"sha512", key_material[0])
for hmac in new_hmacs:
h.update(hmac)
h.update(address_cipher)
h.update(message_cipher)
new_hmac = h.digest()[:20]
new_hmacs = [new_hmac] + new_hmacs
return NHopMixMessage(client_public_key, new_hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
address_cipher = address_plaintext
message_cipher = message_plaintext
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
###Initialise blinding factor and blindking keys
blinding_factor = Bn(1)
blinding_keys=[]
##initialise Hmacs array
hmacs = []
###start from second key as first key is not blinded in the mix
for i in range(len(public_keys)):
###first key is not blinded so since blinding
public_key = blinding_factor*public_keys[i]
blinding_keys.append(public_key)
##
shared_element = private_key * blinding_keys[i]
key_material = sha512(shared_element.export()).digest()
blinding_factor *= Bn.from_binary(key_material[48:])
### reverse order as you encrypt from last mix first
for k in reversed(blinding_keys):
##shared element
shared_element = private_key * k
key_material = sha512(shared_element.export()).digest()
###produce keys for hmac address and message
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
##assign iv for ciphers and encyrpt
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key,iv,address_cipher)
message_cipher = aes_ctr_enc_dec(message_key,iv,message_cipher)
h = Hmac(b"sha512",hmac_key)## initialise hmac
####produce hmacs
temp = []
for j,other in enumerate(hmacs):
###seperate iv for each hmac
iv = pack("H14s",j,b"\x00"*14)
hmac_plaintext = aes_ctr_enc_dec(hmac_key,iv,other)
temp+=[hmac_plaintext]
h.update(hmac_plaintext)
h.update(address_cipher)
h.update(message_cipher)
expected_mac = h.digest()[:20]
temp =[expected_mac]+temp
hmacs=temp
return NHopMixMessage(client_public_key, hmacs, address_cipher, message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
# Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
shared_keys = []
hmacs = []
# no blinding factor between Alice and the first mix
new_private_key = private_key
# the first ciphertext is the plaintext
address_cipher = address_plaintext
message_cipher = message_plaintext
# generate new private key for each mix's public key
for public_key in public_keys:
# get a shared key
shared_element = new_private_key * public_key
key_material = sha512(shared_element.export()).digest()
# prepend the shared key to the list of shared keys
shared_keys = [key_material] + shared_keys
# update the private key's value with a blinding factor
new_private_key = new_private_key * Bn.from_binary(key_material[48:])
# iterate through the public keys in the reverse order, because we want
# to compute hmacs in the reverse order
for i, public_key in enumerate(public_keys[::-1]):
# Use different parts of the shared key for different operations
hmac_key = shared_keys[i][:16]
address_key = shared_keys[i][16:32]
message_key = shared_keys[i][32:48]
# Decrypt the address and the message
iv = b"\x00" * 16
# we encrypt the ciphertext
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# Create the HMAC
h = Hmac(b"sha512", hmac_key)
# encrypt the known hmacs
for j, hmac in enumerate(hmacs):
# Ensure the IV is different for each hmac and encode it
iv = pack("H14s", j, b"\x00" * 14)
hmacs[j] = aes_ctr_enc_dec(hmac_key, iv, hmac)
h.update(hmacs[j])
# finish building the hmac
h.update(address_cipher)
h.update(message_cipher)
# prepend the result to the list of hmacs
hmacs = [h.digest()[:20]] + hmacs
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
hmacs = []
new_public_keys = []
# process the keys with blinding_factor
blinding_factor = Bn(1)
for public_key in public_keys:
public_key = blinding_factor * public_key
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
# Extract a blinding factor for the public_key
blinding_factor *= Bn.from_binary(key_material[48:])
new_public_keys.insert(
0, public_key) # we need to encode messages in reverse order
address_cipher = address_plaintext
message_cipher = message_plaintext
for public_key in new_public_keys:
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
# Decrypt address & message
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# Check the HMAC
h = Hmac(b"sha512", hmac_key)
# Decrypt hmacs
new_hmacs = []
for i, other_mac in enumerate(hmacs):
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00" * 14)
hmac_plaintext = aes_ctr_enc_dec(hmac_key, iv, other_mac)
new_hmacs += [hmac_plaintext]
h.update(hmac_plaintext)
h.update(address_cipher)
h.update(message_cipher)
expected_mac = h.digest()[:20]
hmacs = new_hmacs
hmacs.insert(0, expected_mac)
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# This assertion was originally commented out, can instead check each of the keys one by one
for public_key in public_keys:
assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
# Calculate shared keys, taking into account blinding
shared_elems = []
blinded = []
new = public_keys[0]
for i, public_key in enumerate(public_keys):
shared = private_key * new
shared_elems.append(shared)
if i == len(public_keys) - 1:
break
key_material = sha512(shared.export()).digest()
blinding = Bn.from_binary(key_material[48:])
blinded.append(blinding)
blind = blinded[0]
for b in range(len(blinded[1:])):
blind = blind * blinded[b + 1]
new = blind * public_keys[i + 1]
# Shared keys are used 'backwards'
shared_elems.reverse()
public_keys.reverse()
# At the start of the encryption chain, the payload is in plaintext
address_cipher = address_plaintext
message_cipher = message_plaintext
# Perform the encoding at each stage, using the shared elements calculated
hmacs = []
for i, public_key in enumerate(public_keys):
shared_element = shared_elems[i]
# Get the appropriate key from each part of the shared key
key_material = sha512(shared_element.export()).digest()
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
# Encrypt the message and address at each stage
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# Encrypt the hmacs at each stage
for j, hm in enumerate(hmacs):
iv = pack("H14s", j, b"\x00" * 14)
hmac_plaintext = aes_ctr_enc_dec(key_material[:16], iv, hm)
hmacs[j] = hmac_plaintext
# Generate the expected mac for each stage
h = Hmac(b"sha512", hmac_key)
for hm in hmacs:
h.update(hm)
h.update(address_cipher)
h.update(message_cipher)
expected_mac = h.digest()[:20]
# Each hmac is inserted at the start of the list, as the last hmac is the first to be
# inspected - the last encryption is also the first to be decrypted
hmacs.insert(0, expected_mac)
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
# Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
hmacs = []
blinding_factor = Bn(1)
new_pub_keys = []
# Get a list of new blinded public keys
counter = 0
for key in public_keys:
if counter == 0:
new_pub_keys.append(key)
else:
shared_element = private_key * new_pub_keys[-1]
shared_key = sha512(shared_element.export()).digest()
blinding_factor *= Bn.from_binary(shared_key[48:])
new_key = blinding_factor * key
new_pub_keys.append(new_key)
counter += 1
#reverse the list as you start encrypting from last hop
new_pub_keys.reverse()
address_cipher = address_plaintext
message_cipher = message_plaintext
for pub_key in new_pub_keys:
# Generate Keying Material
new_shared_material = private_key * pub_key
new_shared_key = sha512(new_shared_material.export()).digest()
# Calculate Other Keys
hmac_key = new_shared_key[:16]
address_key = new_shared_key[16:32]
message_key = new_shared_key[32:48]
iv = b"\x00"*16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
decrypted_hmacs = []
h = Hmac(b"sha512", hmac_key)
# Decrypt HMACs and update them
for i,other_hmac in enumerate(hmacs):
hmac_iv = pack("H14s", i, b"\x00"*14)
decrypted_hmac = aes_ctr_enc_dec(hmac_key, hmac_iv, other_hmac)
h.update(decrypted_hmac)
decrypted_hmacs.append(decrypted_hmac)
# Update HMAC of message and cipher
h.update(address_cipher)
h.update(message_cipher)
expected_hmac = h.digest()[:20]
# Add new HMACs to list
hmacs = [expected_hmac] + decrypted_hmacs
## ADD CODE HERE
return NHopMixMessage(client_public_key, hmacs, address_cipher, message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
hmacs = []
shared_keys = []
## generate all used shared key
for public_key in public_keys:
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
## Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
## Extract a blinding factor for next private_key
blinding_factor = Bn.from_binary(key_material[48:])
private_key = blinding_factor * private_key
shared_keys.append([hmac_key, address_key, message_key])
for shared_key in reversed(shared_keys):
## get the shared key
hmac_key, address_key, message_key = shared_key[0], shared_key[
1], shared_key[2]
## Encrypt the address and the message
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_plaintext)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_plaintext)
address_plaintext = address_cipher
message_plaintext = message_cipher
## HMAC
new_hmacs = []
h = Hmac(b"sha512", hmac_key)
# Encrypt hmacs
for i, hmac in enumerate(hmacs):
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00" * 14)
hmac_ciphertext = aes_ctr_enc_dec(hmac_key, iv, hmac)
h.update(hmac_ciphertext)
new_hmacs += [hmac_ciphertext]
h.update(address_cipher)
h.update(message_cipher)
hmac = h.digest()[:20]
new_hmacs.insert(0, hmac)
hmacs = new_hmacs
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## Get shared keys (top-down)
keyring = namedtuple("Keyring", ["hmac_key", "address_key", "message_key"])
shared_keys = []
accumulated_blinding_factor = Bn(1)
for public_key in public_keys:
shared_key = accumulated_blinding_factor * private_key * public_key
key_material = sha512(shared_key.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
blinding_factor = Bn.from_binary(key_material[48:])
accumulated_blinding_factor = accumulated_blinding_factor * blinding_factor
# Store keyring
shared_keys.append(keyring(hmac_key, address_key, message_key))
## Construct NHop message (bottom-up)
hmacs = []
address_cipher = address_plaintext
message_cipher = message_plaintext
for shared_key in reversed(shared_keys):
# Encrypt address and message; accumulate
iv = b"\x00" * 16
address_cipher = aes_ctr_enc_dec(shared_key.address_key, iv,
address_cipher)
message_cipher = aes_ctr_enc_dec(shared_key.message_key, iv,
message_cipher)
# Encrypt other HMACs
for i, hmac in enumerate(hmacs):
# Ensure the IV is different for each hmac
iv = pack("H14s", i, b"\x00" * 14)
hmacs[i] = aes_ctr_enc_dec(shared_key.hmac_key, iv, hmac)
# Get HMAC
h = Hmac(b"sha512", shared_key.hmac_key)
for hmac in hmacs:
h.update(hmac)
h.update(address_cipher)
h.update(message_cipher)
expected_mac = h.digest()[:20]
hmacs.insert(0, expected_mac)
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
# Get list of private keys multiplied with bliding factors
private_keys = list()
for public_key in public_keys:
# Add private key to list
private_keys.append(private_key)
# Get shared key
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
# Extract a blinding factor for the private_key
blinding_factor = Bn.from_binary(key_material[48:])
private_key = blinding_factor * private_key
hmacs = list()
address_cipher = address_plaintext
message_cipher = message_plaintext
for private_key, public_key in reversed(zip(private_keys, public_keys)):
# Get shared key
shared_element = private_key * public_key
key_material = sha512(shared_element.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
# Encrypt address & message
iv = b"\x00"*16
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
# Generate next HMAC and encrypt previous HMACs
h = Hmac(b"sha512", hmac_key)
for i in range(0, len(hmacs)):
iv = pack("H14s", i, b"\x00"*14)
hmacs[i] = aes_ctr_enc_dec(hmac_key, iv, hmacs[i])
h.update(hmacs[i])
h.update(address_cipher)
h.update(message_cipher)
expected_mac = h.digest()[:20]
hmacs.insert(0, expected_mac)
return NHopMixMessage(client_public_key, hmacs, address_cipher, message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
blinding_factor = Bn(1)
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
hmacs = []
address_cipher = address_plaintext
message_cipher = message_plaintext
blinded_public_keys = [public_keys[0]]
for public_key in public_keys[1:]:
## First get a shared key
shared_element = private_key * blinded_public_keys[-1]
key_material = sha512(shared_element.export()).digest()
blinding_factor *= Bn.from_binary(key_material[48:])
blinded_public_keys.append(blinding_factor * public_key)
for key in reversed(blinded_public_keys):
## First get a shared key
shared_element = private_key * key
key_material = sha512(shared_element.export()).digest()
# Use different parts of the shared key for different operations
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
address_cipher = aes_ctr_enc_dec(address_key, b"\x00" * 16,
address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, b"\x00" * 16,
message_cipher)
## Check the HMAC
h = Hmac(b"sha512", hmac_key)
# implement hmacs
new_hmacs = []
for i, other_mac in enumerate(hmacs):
# Ensure the IV is different for each hmac
hmac_plaintext = aes_ctr_enc_dec(hmac_key,
pack("H14s", i, b"\x00" * 14),
other_mac)
h.update(hmac_plaintext)
new_hmacs += [hmac_plaintext]
h.update(address_cipher)
h.update(message_cipher)
expected_mac = h.digest()[:20]
hmacs = [expected_mac] + new_hmacs
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)
def mix_client_n_hop(public_keys, address, message):
"""
Encode a message to travel through a sequence of mixes with a sequence public keys.
The maximum size of the final address and the message are 256 bytes and 1000 bytes respectively.
Returns an 'NHopMixMessage' with four parts: a public key, a list of hmacs (20 bytes each),
an address ciphertext (256 + 2 bytes) and a message ciphertext (1002 bytes).
"""
G = EcGroup()
# assert G.check_point(public_key)
assert isinstance(address, bytes) and len(address) <= 256
assert isinstance(message, bytes) and len(message) <= 1000
# Encode the address and message
# use those encoded values as the payload you encrypt!
address_plaintext = pack("!H256s", len(address), address)
message_plaintext = pack("!H1000s", len(message), message)
## Generate a fresh public key
private_key = G.order().random()
client_public_key = private_key * G.generator()
## ADD CODE HERE
address_cipher = None
message_cipher = None
hmacs = []
key_materials = []
# We loop once to generate the blinded keys and corresponding key_materials
for i in range(len(public_keys)):
# Generate the encryption key
shared_element = private_key * public_keys[i]
key_material = sha512(shared_element.export()).digest()
# Add the key generated with the blindness added since private key gets overriden
key_materials += [key_material]
# Extract a blinding factor for the public_key
blinding_factor = Bn.from_binary(key_material[48:])
private_key = blinding_factor * private_key
# Reverse the calculated key_materials for correct ordering as per the server
key_materials = key_materials[::-1]
for i in range(len(public_keys)):
key_material = key_materials[i]
hmac_key = key_material[:16]
address_key = key_material[16:32]
message_key = key_material[32:48]
iv = b"\x00" * 16
# First we want to encrypt the plaintext, then it will be the ciphertext
if i == 0:
address_cipher = aes_ctr_enc_dec(address_key, iv,
address_plaintext)
message_cipher = aes_ctr_enc_dec(message_key, iv,
message_plaintext)
else:
address_cipher = aes_ctr_enc_dec(address_key, iv, address_cipher)
message_cipher = aes_ctr_enc_dec(message_key, iv, message_cipher)
new_hmacs = []
for j, other_mac in enumerate(reversed(hmacs)):
# Ensure the IV is different for each hmac
iv = pack("H14s", j, b"\x00" * 14)
hmac_plaintext = aes_ctr_enc_dec(hmac_key, iv, other_mac)
new_hmacs += [hmac_plaintext]
h = Hmac(b"sha512", hmac_key)
new_hmacs = new_hmacs[::-1]
# Add all other macs plus the address and message cipher to the hmac
for other_mac in reversed(new_hmacs):
h.update(other_mac)
h.update(address_cipher)
h.update(message_cipher)
# take only the first 20 bytes
digest = h.digest()[:20]
# Add the calculated hmac
new_hmacs += [digest]
hmacs = new_hmacs
hmacs = new_hmacs[::-1]
return NHopMixMessage(client_public_key, hmacs, address_cipher,
message_cipher)