modelization + pretty print

This commit is contained in:
2026-04-20 13:59:42 +02:00
parent c0a31606de
commit 587e5683e1
2 changed files with 161 additions and 12 deletions
+97 -12
View File
@@ -1,20 +1,105 @@
from sage.all import *
from sage.all import GF, PolynomialRing
from tea3.constants import TEA3_SBOX, T_F1, T_F2
from tea3.pretty_print import pretty_print, pretty_print_vec
F = GF(2)
class Tea3Model:
def __init__(self):
self.F = GF(2)
names = (
[f"x{i}{j}" for i in range(5) for j in range(8)] +
[f"r{i}{j}" for i in range(5) for j in range(8)] +
[f"R{i}{j}" for i in range(8) for j in range(8)]
)
names = (
[f"x{i}{j}" for i in range(5) for j in range(8)] +
[f"r{i}{j}" for i in range(5) for j in range(8)] +
[f"R{i}{j}" for i in range(8) for j in range(8)]
)
S = PolynomialRing(F, names)
v = S.gens()
self.S = PolynomialRing(self.F, names)
self.v = self.S.gens()
x_bits = [list(v[i*8:(i+1)*8]) for i in range(5)]
r_bits = [list(v[40 + i*8 : 40 + (i+1)*8]) for i in range(5)]
R_bits = [list(v[80 + i*8 : 80 + (i+1)*8]) for i in range(8)]
self.x_bits = [list(self.v[i*8:(i+1)*8]) for i in range(5)]
self.r_bits = [list(self.v[40 + i*8 : 40 + (i+1)*8]) for i in range(5)]
self.R_bits = [list(self.v[80 + i*8 : 80 + (i+1)*8]) for i in range(8)]
def step(self):
R = self.R_bits.copy()
x = self.x_bits.copy()
r = self.r_bits.copy()
R0, R1, R2, R3, R4, R5, R6, R7 = R
x0, x1, x2, x3, x4 = x
r0, r1, r2, r3, r4 = r
# update r register
self.r_bits[0] = r1
self.r_bits[1] = r2
self.r_bits[2] = r3
self.r_bits[3] = r4
self.r_bits[4] = xor_vec(r0, S(r2))
# update x register
self.x_bits[0] = x1
self.x_bits[1] = x2
self.x_bits[2] = x3
self.x_bits[3] = x4
self.x_bits[4] = xor_vec(x0, r0)
# update R registers
self.R_bits[7] = R6
self.R_bits[6] = R5
self.R_bits[5] = xor_vec(R4, G31(R6, R5))
self.R_bits[4] = R3
self.R_bits[3] = R2
self.R_bits[2] = R1
self.R_bits[1] = R0
self.R_bits[0] = xor_vec(x0, xor_vec(R7, xor_vec(BP(R4), G32(R2, R1))))
return R7
def S(r):
# placeholder
return r
def xor_vec(a, b):
return [ai + bi for ai, bi in zip(a, b)]
def BP(r):
return [r[2], r[7], r[3], r[5], r[6], r[1], r[0], r[4]]
def G31(X, Y):
x3,x4,x5,x6,x7,x0,x1,x2 = X
y3,y4,y5,y6,y7,y0,y1,y2 = Y
return [
x1 + y0 + x0*y0 + y1 + x0*y1 + x0*x1*y1 + y0*y1 + x0*y0*y1 + x1*y0*y1,
1 + y1 + y2 + x1*y2 + x2*y2 + y1*y2 + x1*y1*y2,
x2 + x3 + x2*y2 + x3*y2 + y3 + x3*y3 + x3*y2*y3,
x4*y3 + y4 + x3*y3*y4 + x4*y3*y4,
1 + y4 + x4*y4 + x5*y4 + y5 + y4*y5 + x5*y4*y5,
1 + x5 + x6 + y5 + x5*y5 + x6*y5 + y6 + x6*y6 + x6*y5*y6,
1 + x6 + x6*y6 + x7*y7 + y6*y7 + x7*y6*y7,
1 + x7 + y0 + x0*y7 + x7*y7 + x0*x7*y7 + x0*y0*y7 + x7*y0*y7,
]
def G32(X, Y):
x3,x4,x5,x6,x7,x0,x1,x2 = X
y3,y4,y5,y6,y7,y0,y1,y2 = Y
return [
1 + x1 + x0*x1 + y0 + x0*y0 + x1*y0 + y1 + x0*x1*y1 + x0*y0*y1 + x1*y0*y1,
1 + y1 + x2*y2 + x1*y1*y2,
x3 + x3*y2 + y3 + x2*y3 + x3*y3 + x2*y2*y3 + x3*y2*y3,
x4*y3 + y4 + y3*y4 + x3*y3*y4 + x4*y3*y4,
x4*y4 + y5 + y4*y5 + x4*y4*y5 + x5*y4*y5,
x5 + x6 + x5*y5 + x6*y5 + y6 + x6*y6 + x6*y5*y6,
y6 + x6*y6 + x7*y6 + y7 + y6*y7 + x7*y6*y7,
x0*x7 + y0 + x7*y0 + y7 + x0*y7 + x7*y7 + x0*x7*y7 + x0*y0*y7 + x7*y0*y7,
]
t = Tea3Model()
for i in range(3):
print("step "+str(i))
t.step()
print(pretty_print_vec(t.R_bits[0]))