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SHA3.sage
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class Keccak:
RC = [0x0000000000000001,
0x0000000000008082,
0x800000000000808A,
0x8000000080008000,
0x000000000000808B,
0x0000000080000001,
0x8000000080008081,
0x8000000000008009,
0x000000000000008A,
0x0000000000000088,
0x0000000080008009,
0x000000008000000A,
0x000000008000808B,
0x800000000000008B,
0x8000000000008089,
0x8000000000008003,
0x8000000000008002,
0x8000000000000080,
0x000000000000800A,
0x800000008000000A,
0x8000000080008081,
0x8000000000008080,
0x0000000080000001,
0x8000000080008008]
# Rotation offsets
r = [[0, 36, 3, 41, 18],
[1, 44, 10, 45, 2],
[62, 6, 43, 15, 61],
[28, 55, 25, 21, 56],
[27, 20, 39, 8, 14]]
def __init__(self, mode=0, values=[]):
self.createBR()
if mode == 0:
self.createEmptyState()
if mode == 1:
self.createState(values)
if mode == 2:
self.createVariableState()
def clear():
print
print
print
print
print
print
def createBR(self):
self.R = PolynomialRing(
GF(2), ['a%d_%d' % (i, j) for i in range(28) for j in [0] + range(63, 0, -1)])
self.R.inject_variables(scope=None, verbose=False)
def createEmptyState(self):
self.S = [[[list(GF(2))[0] for k in xrange(64)]
for j in xrange(5)] for i in xrange(5)]
def createState(self, values=[]):
if len(values) < 5*5*64:
values = values + [0 for i in range(5*5*64 - len(values))]
self.createEmptyState()
for j in range(5):
for i in range(5):
for k in range(64):
self.S[i][j][k] = values[k + (i * 64) + (j * 64 * 5)]
def createVariableState(self):
self.createState(list(self.R.gens()))
self.variables = self.R.gens()
self.Lvariables = []
for i in xrange(25):
self.Lvariables.append(list(self.variables[i*64:(i+1)*64]))
def printState(self, k=1, latex=0):
rows = []
for j in range(4, -1, -1):
new = []
for i in range(5):
new.append(str(self.S[i][j][k-1]))
rows.append(new)
if latex:
pretty_print(table(rows=rows, frame=True))
else:
print(table(rows=rows, frame=True))
def setLane0(self, i, j):
self.S[i][j] = [list(GF(2))[0] for k in xrange(64)]
def setLane1(self, i, j):
self.S[i][j] = [list(GF(2))[1] for k in xrange(64)]
def setLane(self, i, j, value=[list(GF(2))[0] for i in xrange(64)]):
self.S[i][j] = value
def f(self, sround=1, eround=1, Print=0):
while sround <= eround:
self.theta(Print)
self.rho(Print)
self.pi(Print)
self.chi(Print)
self.iota(round=sround, Print=Print)
sround = sround + 1
def theta(self, Print=0):
P = [[list(GF(2))[0] for k in range(64)] for i in range(5)]
for i in xrange(5):
for k in xrange(64):
for j in xrange(5):
P[i][k] = P[i][k] + self.S[i][j][k]
SS = [[[list(GF(2))[0] for k in xrange(64)]
for j in xrange(5)] for i in xrange(5)]
for i in range(5):
for j in range(5):
for k in range(64):
SS[i][j][k] = P[(i-1) % 5][k] + \
self.S[i][j][k] + P[(i+1) % 5][(k-1) % 64]
self.S = SS
if Print:
self.printState()
def rotate(self, L, r):
return L[64-r:] + L[:64-r]
def rho(self, Print=0):
SS = [[[list(GF(2))[0] for k in xrange(64)]
for j in xrange(5)] for i in xrange(5)]
for i in range(5):
for j in range(5):
SS[i][j] = self.rotate(self.S[i][j], self.r[i][j])
self.S = SS
if Print:
self.printState()
def pi(self, Print=0):
SS = [[[list(GF(2))[0] for k in xrange(64)]
for j in xrange(5)] for i in xrange(5)]
for i in range(5):
for j in range(5):
SS[j][(2*i + 3*j) % 5] = self.S[i][j]
self.S = SS
if Print:
self.printState()
def chi(self, Print=0):
SS = [[[list(GF(2))[0] for k in xrange(64)]
for j in xrange(5)] for i in xrange(5)]
for i in range(5):
for j in range(5):
for k in range(64):
SS[i][j][k] = self.S[i][j][k] + \
(list(GF(2))[1] + self.S[(i+1) %
5][j][k])*self.S[(i+2) % 5][j][k]
self.S = SS
if Print:
self.printState()
def iota(self, round, Print=0):
rc = int(str(self.RC[round-1]), 16)
rc = [int(x) for x in list('{0:064b}'.format(rc))]
for k in range(64):
self.S[0][0][k] = self.S[0][0][k] + rc[k]
if Print:
self.printState()
def Vartheta(self, Print=0):
P = [[list(GF(2))[0] for k in range(64)] for i in range(5)]
used_i = 25
for i in xrange(used_i, used_i + 3):
P[i-used_i] = list(self.variables[i*64:(i+1)*64])
P[i-used_i] = P[i-used_i][:1]+ P[i-used_i][1:][::-1]
for i in xrange(3, 5, 1):
for k in xrange(64):
for j in xrange(5):
P[i][k] = P[i][k] + self.S[i][j][k]
SS = [[[list(GF(2))[0] for k in xrange(64)]
for j in xrange(5)] for i in xrange(5)]
for i in range(5):
for j in range(5):
for k in range(64):
SS[i][j][k] = P[(i-1) % 5][k] + \
self.S[i][j][k] + P[(i+1) % 5][(k-1) % 64]
self.S = SS
if Print:
self.printState()