def testP192SignAndVerifyKFixe(self):
A, B, p, G, n = tp3.P192()
k = random.randint(1, n - 1)
# cle prive alice
a = random.randint(1, n - 1)
# cle public alice
Apub = tp3.double_and_add(A, B, p, G, a)
m1, m2 = 11, 23
t1, s1 = tp3.signP192(k, a, m1)
t2, s2 = tp3.signP192(k, a, m2)
kDeduce = (m1 - m2) * tp3.inverse(s1 - s2, n)
tDeduce = tp3.double_and_add(A, B, p, G, k)[0]
self.assertEquals(t1, tDeduce)
privateKeyDeduce = (kDeduce * s1 - m1) * tp3.inverse(tDeduce, n) % n
# <=> privateKeyDeduce = (m1*s2 - m2*s1) * tp3.inverse(tDeduce * (s1 - s2), n) % n
self.assertEquals(a, privateKeyDeduce)
def testP192SignAndVerify(self):
A, B, p, G, n = tp3.P192()
k = random.randint(1, n - 1)
# cle prive alice
a = random.randint(1, n - 1)
# cle public alice
Apub = tp3.double_and_add(A, B, p, G, a)
m = 11
t, signe = tp3.signP192(k, a, m)
self.assertTrue(tp3.verifyP192(t, signe, Apub, m))