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@@ -1,6 +1,5 @@
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from math import gcd
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def est_premier(n):
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def est_premier(n):
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"""Vérifie si un nombre est premier."""
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if n < 2:
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if n < 2:
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return False
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return False
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for i in range(2, int(n**0.5) + 1):
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for i in range(2, int(n**0.5) + 1):
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@@ -28,7 +27,7 @@ def inverse(e, n):
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t, newt = newt, t - quotient * newt
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t, newt = newt, t - quotient * newt
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r, newr = newr, r - quotient * newr
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r, newr = newr, r - quotient * newr
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if r > 1:
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if r > 1:
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raise ValueError("L'inverse modulaire n'existe pas")
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raise ValueError("L'inverse modulaire n'existe pas.")
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if t < 0:
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if t < 0:
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t += n
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t += n
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return t
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return t
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@@ -44,19 +43,20 @@ def dechiffre(d, N, liste):
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def liste_en_chaine(liste):
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def liste_en_chaine(liste):
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return ''.join(chr(x) for x in liste)
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return ''.join(chr(x) for x in liste)
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cle = 17873
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a, b = 61, 53
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a, b = 61, 53
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N = a * b
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N = a * b
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phi = (a - 1) * (b - 1)
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phi = (a - 1) * (b - 1)
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e = 17
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e = 18607
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print(N)
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d = inverse(e, phi)
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d = inverse(e, phi)
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cle = 29987
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l = [18802, 561, 13389, 1494, 561, 8038, 2177, 9098, 14888, 9098, 12143, 561, 8038, 12143, 9098, 2925, 19036, 9098, 26542, 561, 13389, 468, 19036, 20236]
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message = "「有時,沒有人期待能做出什麼的人,卻完成了沒有人能想像的事。」"
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message_dechiffre = dechiffre(cle, N, l)
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message_code = chaine_en_liste(message)
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message_chiffre = chiffre(e, N, message_code)
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message_dechiffre = dechiffre(d, N, message_chiffre)
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message_final = liste_en_chaine(message_dechiffre)
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message_final = liste_en_chaine(message_dechiffre)
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print("Message initial:", message)
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print("Message chiffré:", message_chiffre)
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print("Message déchiffré:", message_final)
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print("Message déchiffré:", message_final)
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