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# Implementation of the Lilliput-AE tweakable block cipher.
#
# Authors, hereby denoted as "the implementer":
# Kévin Le Gouguec,
# Léo Reynaud
# 2019.
#
# For more information, feedback or questions, refer to our website:
# https://paclido.fr/lilliput-ae
#
# To the extent possible under law, the implementer has waived all copyright
# and related or neighboring rights to the source code in this file.
# http://creativecommons.org/publicdomain/zero/1.0/
"""Multiplications for Lilliput-TBC's tweakey schedule.
This module provides a list of functions implementing lane multiplications,
from ALPHAS[0] = α₀ = I to ALPHAS[6] = α₆ = M_R³.
"""
from functools import reduce
from operator import xor
def _shl(xi, n):
return (xi << n) & 0xff
def _Sl(n):
return lambda xi: _shl(xi, n)
def _Sr(n):
return lambda xi: xi>>n
def _Id(xi):
return xi
def _0(xi):
return 0
def _M1(xi):
return _shl(xi, 3) ^ xi>>3
def _M2(xi):
return _shl(xi, 6) ^ xi&0b11111000 ^ xi>>6
def _M3(xi):
return _shl(xi>>3, 6) ^ xi>>6<<3
def _M4(xi):
return _shl(xi, 2) >> 3
def _M5(xi):
return _shl(xi, 5) ^ xi>>3<<2
def _M6(xi):
return xi & 0b00011111
def _M7(xi):
return _shl(xi, 2) >> 3
M = (
( _0, _Id, _0, _0, _0, _0, _0, _0),
( _0, _0, _Id, _0, _0, _0, _0, _0),
( _0, _0, _Sl(3), _Id, _0, _0, _0, _0),
( _0, _0, _0, _Sr(3), _Id, _0, _0, _0),
( _0, _0, _0, _0, _0, _Id, _0, _0),
( _0, _Sl(2), _0, _0, _0, _0, _Id, _0),
( _0, _0, _0, _0, _0, _0, _0, _Id),
(_Id, _0, _0, _0, _0, _0, _0, _0),
)
M2 = (
( _0, _0, _Id, _0, _0, _0, _0, _0),
( _0, _0, _Sl(3), _Id, _0, _0, _0, _0),
( _0, _0, _Sl(6), _M1, _Id, _0, _0, _0),
( _0, _0, _0, _Sr(6), _Sr(3), _Id, _0, _0),
( _0, _Sl(2), _0, _0, _0, _0, _Id, _0),
( _0, _0, _Sl(2), _0, _0, _0, _0, _Id),
(_Id, _0, _0, _0, _0, _0, _0, _0),
( _0, _Id, _0, _0, _0, _0, _0, _0),
)
M3 = (
( _0, _0, _Sl(3), _Id, _0, _0, _0, _0),
( _0, _0, _Sl(6), _M1, _Id, _0, _0, _0),
( _0, _0, _0, _M2, _M1, _Id, _0, _0),
( _0, _Sl(2), _0, _0, _Sr(6), _Sr(3), _Id, _0),
( _0, _0, _Sl(2), _0, _0, _0, _0, _Id),
(_Id, _0, _Sl(5), _Sl(2), _0, _0, _0, _0),
( _0, _Id, _0, _0, _0, _0, _0, _0),
( _0, _0, _Id, _0, _0, _0, _0, _0),
)
M4 = (
( _0, _0, _Sl(6), _M1, _Id, _0, _0, _0),
( _0, _0, _0, _M2, _M1, _Id, _0, _0),
( _0, _Sl(2), _0, _M3, _M2, _M1, _Id, _0),
( _0, _M4, _Sl(2), _0, _0, _Sr(6), _Sr(3), _Id),
(_Id, _0, _Sl(5), _Sl(2), _0, _0, _0, _0),
( _0, _Id, _0, _M5, _Sl(2), _0, _0, _0),
( _0, _0, _Id, _0, _0, _0, _0, _0),
( _0, _0, _Sl(3), _Id, _0, _0, _0, _0),
)
# NB: shift directions are reversed with respect to the specification
# for powers of M_R, since the specification reverses the byte order
# for those matrices.
MR = (
( _0, _Id, _0, _0, _0, _0, _0, _0),
( _0, _0, _Id, _0, _0, _0, _0, _0),
( _0, _0, _0, _Id, _Sr(3), _0, _0, _0),
( _0, _0, _0, _0, _Id, _0, _0, _0),
( _0, _0, _0, _0, _0, _Id, _Sl(3), _0),
( _0, _0, _0, _Sl(2), _0, _0, _Id, _0),
( _0, _0, _0, _0, _0, _0, _0, _Id),
(_Id, _0, _0, _0, _0, _0, _0, _0),
)
MR2 = (
( _0, _0, _Id, _0, _0, _0, _0, _0),
( _0, _0, _0, _Id, _Sr(3), _0, _0, _0),
( _0, _0, _0, _0, _Id, _Sr(3), _M6, _0),
( _0, _0, _0, _0, _0, _Id, _Sl(3), _0),
( _0, _0, _0, _Sl(2), _0, _0, _Id, _Sl(3)),
( _0, _0, _0, _0, _Sl(2), _0, _0, _Id),
(_Id, _0, _0, _0, _0, _0, _0, _0),
( _0, _Id, _0, _0, _0, _0, _0, _0),
)
MR3 = (
( _0, _0, _0, _Id, _Sr(3), _0, _0, _0),
( _0, _0, _0, _0, _Id, _Sr(3), _M6, _0),
( _0, _0, _0, _M7, _0, _Id, _M1, _M6),
( _0, _0, _0, _Sl(2), _0, _0, _Id, _Sl(3)),
(_Sl(3), _0, _0, _0, _Sl(2), _0, _0, _Id),
( _Id, _0, _0, _0, _0, _Sl(2), _Sl(5), _0),
( _0, _Id, _0, _0, _0, _0, _0, _0),
( _0, _0, _Id, _0, _0, _0, _0, _0),
)
def _multiplication(m, reverse=True):
def ordered(l):
if reverse:
return list(reversed(list(l)))
return l
def _multiply(x):
return ordered(
reduce(xor, (mj[i](xi) for i, xi in enumerate(ordered(x))))
for mj in m
)
return _multiply
ALPHAS = (
_multiplication(M),
_multiplication(M2),
_multiplication(M3),
_multiplication(M4),
_multiplication(MR, reverse=False),
_multiplication(MR2, reverse=False),
_multiplication(MR3, reverse=False)
)
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