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norx.py
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"""
Python2 implementation of NORX.
------
:author: Philipp Jovanovic <philipp@jovanovic.io>, 2014-2015.
:license: CC0, see LICENSE for more details.
"""
from struct import pack, unpack
class NORX(object):
def __init__(self, w=64, r=4, d=1, t=256):
assert w in [32, 64]
assert r >= 1
assert d >= 0
assert 10 * w >= t >= 0
self.NORX_W = w
self.NORX_R = r
self.NORX_D = d
self.NORX_T = t
self.NORX_N = w * 2
self.NORX_K = w * 4
self.NORX_B = w * 16
self.NORX_C = w * 6
self.RATE = self.NORX_B - self.NORX_C
self.HEADER_TAG = 1 << 0
self.PAYLOAD_TAG = 1 << 1
self.TRAILER_TAG = 1 << 2
self.FINAL_TAG = 1 << 3
self.BRANCH_TAG = 1 << 4
self.MERGE_TAG = 1 << 5
self.BYTES_WORD = w / 8
self.BYTES_TAG = t / 8
self.WORDS_RATE = self.RATE / w
self.BYTES_RATE = self.WORDS_RATE * self.BYTES_WORD
if w == 32:
self.R = (8, 11, 16, 31)
self.U = (0x243F6A88, 0x85A308D3, 0x13198A2E, 0x03707344, 0x254F537A,
0x38531D48, 0x839C6E83, 0xF97A3AE5, 0x8C91D88C, 0x11EAFB59)
self.M = 0xffffffff
self.fmt = '<L'
elif w == 64:
self.R = (8, 19, 40, 63)
self.U = (0x243F6A8885A308D3, 0x13198A2E03707344, 0xA4093822299F31D0, 0x082EFA98EC4E6C89, 0xAE8858DC339325A1,
0x670A134EE52D7FA6, 0xC4316D80CD967541, 0xD21DFBF8B630B762, 0x375A18D261E7F892, 0x343D1F187D92285B)
self.M = 0xffffffffffffffff
self.fmt = '<Q'
def load(self, x):
return unpack(self.fmt, x)[0]
def store(self, x):
return pack(self.fmt, x)
def ROTR(self, a, r):
return ((a >> r) | (a << (self.NORX_W - r))) & self.M
def H(self, a, b):
return ((a ^ b) ^ ((a & b) << 1)) & self.M
def G(self, a, b, c, d):
a = self.H(a, b)
d = self.ROTR(a ^ d, self.R[0])
c = self.H(c, d)
b = self.ROTR(b ^ c, self.R[1])
a = self.H(a, b)
d = self.ROTR(a ^ d, self.R[2])
c = self.H(c, d)
b = self.ROTR(b ^ c, self.R[3])
return a, b, c, d
def F(self, S):
# Column step
S[0], S[4], S[8], S[12] = self.G(S[0], S[4], S[8], S[12])
S[1], S[5], S[9], S[13] = self.G(S[1], S[5], S[9], S[13])
S[2], S[6], S[10], S[14] = self.G(S[2], S[6], S[10], S[14])
S[3], S[7], S[11], S[15] = self.G(S[3], S[7], S[11], S[15])
# Diagonal step
S[0], S[5], S[10], S[15] = self.G(S[0], S[5], S[10], S[15])
S[1], S[6], S[11], S[12] = self.G(S[1], S[6], S[11], S[12])
S[2], S[7], S[8], S[13] = self.G(S[2], S[7], S[8], S[13])
S[3], S[4], S[9], S[14] = self.G(S[3], S[4], S[9], S[14])
def permute(self, S):
for i in xrange(self.NORX_R):
self.F(S)
def pad(self, x):
y = bytearray(self.BYTES_RATE)
y[:len(x)] = x
y[len(x)] = 0x01
y[self.BYTES_RATE-1] |= 0x80
return y
def init(self, S, n, k):
b = self.BYTES_WORD
K = [self.load(k[b*i:b*(i+1)]) for i in xrange(self.NORX_K / self.NORX_W)]
N = [self.load(n[b*i:b*(i+1)]) for i in xrange(self.NORX_N / self.NORX_W)]
U = self.U
S[0], S[1], S[2], S[3] = U[0], N[0], N[1], U[1]
S[4], S[5], S[6], S[7] = K[0], K[1], K[2], K[3]
S[8], S[9], S[10], S[11] = U[2], U[3], U[4], U[5]
S[12], S[13], S[14], S[15] = U[6], U[7], U[8], U[9]
S[12] ^= self.NORX_W
S[13] ^= self.NORX_R
S[14] ^= self.NORX_D
S[15] ^= self.NORX_T
self.permute(S)
def inject_tag(self, S, tag):
S[15] ^= tag
def process_header(self, S, x):
return self.absorb_data(S, x, self.HEADER_TAG)
def process_trailer(self, S, x):
return self.absorb_data(S, x, self.TRAILER_TAG)
def absorb_data(self, S, x, tag):
inlen = len(x)
if inlen > 0:
i, n = 0, self.BYTES_RATE
while inlen >= n:
self.absorb_block(S, x[n*i:n*(i+1)], tag)
inlen -= n
i += 1
self.absorb_lastblock(S, x[n*i:n*i+inlen], tag)
def absorb_block(self, S, x, tag):
b = self.BYTES_WORD
self.inject_tag(S, tag)
self.permute(S)
for i in xrange(self.WORDS_RATE):
S[i] ^= self.load(x[b*i:b*(i+1)])
def absorb_lastblock(self, S, x, tag):
y = self.pad(x)
self.absorb_block(S, y, tag)
def encrypt_data(self, S, x):
c = bytearray()
inlen = len(x)
if inlen > 0:
i, n = 0, self.BYTES_RATE
while inlen >= n:
c += self.encrypt_block(S, x[n*i:n*(i+1)])
inlen -= n
i += 1
c += self.encrypt_lastblock(S, x[n*i:n*i+inlen])
return c
def encrypt_block(self, S, x):
c = bytearray()
b = self.BYTES_WORD
self.inject_tag(S, self.PAYLOAD_TAG)
self.permute(S)
for i in xrange(self.WORDS_RATE):
S[i] ^= self.load(x[b*i:b*(i+1)])
c += self.store(S[i])
return c[:self.BYTES_RATE]
def encrypt_lastblock(self, S, x):
y = self.pad(x)
c = self.encrypt_block(S, y)
return c[:len(x)]
def decrypt_data(self, S, x):
m = bytearray()
inlen = len(x)
if inlen > 0:
i, n = 0, self.BYTES_RATE
while inlen >= n:
m += self.decrypt_block(S, x[n*i:n*(i+1)])
inlen -= n
i += 1
m += self.decrypt_lastblock(S, x[n*i:n*i+inlen])
return m
def decrypt_block(self, S, x):
m = bytearray()
b = self.BYTES_WORD
self.inject_tag(S, self.PAYLOAD_TAG)
self.permute(S)
for i in xrange(self.WORDS_RATE):
c = self.load(x[b*i:b*(i+1)])
m += self.store(S[i] ^ c)
S[i] = c
return m[:self.BYTES_RATE]
def decrypt_lastblock(self, S, x):
m = bytearray()
y = bytearray()
b = self.BYTES_WORD
self.inject_tag(S, self.PAYLOAD_TAG)
self.permute(S)
for i in xrange(self.WORDS_RATE):
y += self.store(S[i])
y[:len(x)] = bytearray(x)
y[len(x)] ^= 0x01
y[self.BYTES_RATE-1] ^= 0x80
for i in xrange(self.WORDS_RATE):
c = self.load(y[b*i:b*(i+1)])
m += self.store(S[i] ^ c)
S[i] = c
return m[:len(x)]
def generate_tag(self, S):
t = bytearray()
self.inject_tag(S, self.FINAL_TAG)
self.permute(S)
self.permute(S)
for i in xrange(self.WORDS_RATE):
t += self.store(S[i])
return t[:self.BYTES_TAG]
def verify_tag(self, t0, t1):
acc = 0
for i in xrange(self.BYTES_TAG):
acc |= t0[i] ^ t1[i]
return (((acc - 1) >> 8) & 1) - 1
def aead_encrypt(self, h, m, t, n, k):
assert len(k) == self.NORX_K / 8
assert len(n) == self.NORX_N / 8
c = bytearray()
S = [0] * 16
self.init(S, n, k)
self.process_header(S, h)
c += self.encrypt_data(S, m)
self.process_trailer(S, t)
c += self.generate_tag(S)
return str(c)
def aead_decrypt(self, h, c, t, n, k):
assert len(k) == self.NORX_K / 8
assert len(n) == self.NORX_N / 8
assert len(c) >= self.BYTES_TAG
m = bytearray()
c = bytearray(c)
S = [0] * 16
d = len(c)-self.BYTES_TAG
c, t0 = c[:d], c[d:]
self.init(S, n, k)
self.process_header(S, h)
m += self.decrypt_data(S, c)
self.process_trailer(S, t)
t1 = self.generate_tag(S)
if self.verify_tag(t0, t1) != 0:
m = ''
return str(m)