k = 'ISWHX_CVQC,V?LC,?LDNBBUHILCQ_FTC.TPTVZTK,NNTSTLWGCCTWZC,VTDCOVOLAL.WJJWIJQ_QJHDSLCDTO\
ATJDSCTWHX_CDIWYCDI?,VWGCLCLEAOYWJFWIJQAOVE_FCLYSA,?KIP,BOYUBGWZSVIOPC,OYDRRCNU,BAQDFCMJP,\
I.TDSCTWVFYJWCC,VWFXLVNLJ,VTUWQDGTAJETDRPBKI?BZWYCDSJJ,,SLQAWESXWBCNAGBGYDSCTWYCQNNTAEILD_\
PKQD,QCYT?GCYTEDLQDRBAYUQBAWFX,?KTFDCHQFBKXGM,?KU?HAWEXDCEQSVWOPQ,HBDEQTJSA'
k, len(k), len(set(k))
('ISWHX_CVQC,V?LC,?LDNBBUHILCQ_FTC.TPTVZTK,NNTSTLWGCCTWZC,VTDCOVOLAL.WJJWIJQ_QJHDSLCDTOATJDSCTWHX_CDIWYCDI?,VWGCLCLEAOYWJFWIJQAOVE_FCLYSA,?KIP,BOYUBGWZSVIOPC,OYDRRCNU,BAQDFCMJP,I.TDSCTWVFYJWCC,VWFXLVNLJ,VTUWQDGTAJETDRPBKI?BZWYCDSJJ,,SLQAWESXWBCNAGBGYDSCTWYCQNNTAEILD_PKQD,QCYT?GCYTEDLQDRBAYUQBAWFX,?KTFDCHQFBKXGM,?KU?HAWEXDCEQSVWOPQ,HBDEQTJSA',
340,
30)
set(k)
{',',
'.',
'?',
'A',
'B',
'C',
'D',
'E',
'F',
'G',
'H',
'I',
'J',
'K',
'L',
'M',
'N',
'O',
'P',
'Q',
'R',
'S',
'T',
'U',
'V',
'W',
'X',
'Y',
'Z',
'_'}
alpha0 = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ,.?_' # basic alphabet
import time
import random
from math import exp
Loading the ccrypto module: a personal module written in C interfaced with Python.
We use the logscore function of this module.
For a Python version of this function see http://bribes.org/crypto/substitution_mono.html (in French, sorry).
from ccrypto import *
load_qf_base('logf4g_space_en.txt') # English quadrigram statistics (with spaces as _)
def sub_polyalpha(crypto, list_alpha):
""" Polyalphabetic substitution on 'crypto'.
The letters of 'crypto' are encrypted sequentially by the
alphabets of 'list_alpha'
"""
idx = 0
clair = ''
for c in crypto:
if c in alpha0:
clair += list_alpha[idx][alpha0.index(c)]
idx = (idx+1)%len(list_alpha)
else:
clair += c
return clair
def new_state(alpha):
""" Returns an alphabet different from 'alpha' but close to 'alpha'.
"""
c = list(alpha)
i, j, k, m = random.sample(range(len(alpha)), 4)
choix = random.random()
if choix < 0.7:
c[i], c[j] = c[j], c[i] # permutation 2 éléments
elif choix < 0.8:
c[i], c[j], c[k] = c[j], c[k], c[i] # permutation 3 éléments
elif choix < 0.9:
c[i], c[j], c[k], c[m] = c[j], c[k], c[m], c[i] # idem 4 éléments
else:
if i > j:
i, j = j, i # we want i < j
m = c[i:j]
m.append(m.pop(0)) # segment rotation c[i:j]
c[i:j] = m
return ''.join(c)
def Metropolis(delta, T):
""" The Metropolis criterium
"""
if delta <= 0: return True
if random.random() < exp(-delta/T) and delta/T < 0.05:
return True
return False
We are looking for the alphabets which give the minimum logscore: this is an optimization problem.
def SA_PolyAlpha(crypto, period, max_iter = 20000, CoolRatio = 0.9, trace=True):
""" The simulated annealing algorithm
"""
start = time.time()
max_iter = period*max_iter
myalphas = [] # list of current alphabets
a = list(alpha0)
for i in range(period): # random alphabets at the start
random.shuffle(a)
myalphas.append(''.join(a))
clair = sub_polyalpha(crypto, myalphas)
old_score = logscore(clair)
T = old_score/10 # initial temperature
best_clair = clair
best_alphas = myalphas.copy()
best_score = old_score
freeze = 0
idx_alpha = 0
while True:
nb_iter = 0
while nb_iter < max_iter:
nalphas = myalphas.copy()
nalphas[idx_alpha] = new_state(nalphas[idx_alpha])
clair = sub_polyalpha(crypto, nalphas)
new_score = logscore(clair)
delta = new_score - old_score
if Metropolis(delta, T): # transition accepted
myalphas = nalphas.copy()
old_score = new_score
if old_score < best_score:
best_score = old_score
best_alphas = myalphas.copy()
best_clair = clair
if trace:
print(best_score) # trace
# print(best_alphas)
print(best_clair[:80]+'...')
freeze = 0
else: # transition refused
freeze += 1
nb_iter += 1
idx_alpha = (idx_alpha+1)%period # next alphabet
T *= CoolRatio
if freeze > 10: # stop condition
break
print("*** Best solution found ***")
print('score = ', best_score)
print('alphabets :', best_alphas)
print()
print(best_clair)
delta = int(time.time()-start)
print('----- elapsed time ',delta//60, 'min', delta%60, 'sec')
SA_PolyAlpha(k, 5)
5564.84814453125 T.,EYOER?V._J,V.LGSNFXNEICEBYQ,EUUP,_KUO.H?UK,D,FVHS,GV._WSVB_I,UCK,LSEAD?AZBQSK... 5563.16064453125 T.,EYOEU?V._J,V.LGSNFXNEICEBYQ,ERUP,_KUO.H?UK,D,FVHS,GV._WSVB_I,UCK,LSEAD?AZBQSK... 5561.43017578125 T.,EYOEU?V._J,V.LGSNFXNEICEBYQ,ERUP,_KUO.H?UK,D,FVHS,GV._WSVB_I,UCK,ISEAD?AZBQSK... 5553.98388671875 T.,EYOEU?V._J,V.LGSKFXNEICEBYQ,ERUP,_KUO.H?UN,D,FVHS,GV._WSVB_I,UCK,ISEAD?AZBQSN... 5552.9892578125 EAREXOEU?V,_J,V,XGSMFLNEICEMYQ.E,QP._KQO,HEQG.DRFVISR_V,_YSVB_I,UCKRI_VVD?ANTFSG... 5539.603515625 P,UAXVTH?JAVJHJA?ICEF.EAHYTVE_HT_QCHVRQOAEYQMHNUFJOCU_JAVACJNVKHUYKUDRXMT?AU_WCM... 5535.08935546875 P,UAXVTH?JAVJHJA?ICEF.EAHYTVE_HT_QCHVRQOAEYQMHNUFJOCU_JAVACJNVKHUYKUDRXMT?AU_WCM... 5534.09521484375 P,UAXVTH?JAVJHJA?ICEF.EAHYTVE_HT_QCHVRQOAEYQMHNUFJOCU_JAVACJNVCHUYKUDRXMT?AU_WCM... 5533.5087890625 P,UAXVTH?JAVJHJA?ICEF.EAHYTVE_HT_QCHVRQOAEYQMHNUFJOCU_JAVACJNVCHBYKUDRXMT?AU_WCM... 5530.341796875 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IF_YOU_ARE_AWLE_TO_REC,YJT_THIS_RESSAGED_PLEASE_GEND_ME_AN_EMAIL_TO_CYPHERMOLD_A... 3261.8349609375 IF_YOU_ARE_AWLE_TO_REC,YJT_THIS_RESSAGED_PLEASE_GEND_ME_AN_EMAIL_TO_CYPHERMOLD_A... 3259.0625 IF_YOU_ARE_AWLE_TO_REC,YJT_THIS_RESSAGED_PLEASE_GEND_BE_AN_EMAIL_TO_CYPHERMOLD_A... 3239.4892578125 IF_YOU_ARE_ABLE_TO_REC,YZT_THIS_RESSAGED_PLEASE_GEND_BE_AN_EMAIL_TO_CYPHERMOLD_A... 3219.88671875 IF_YOU_ARE_ABLE_TO_REC,YWT_THIS_RESSAGED_PLEASE_GEND_BE_AN_EMAIL_TO_CYPHERMOLD_A... 3210.71240234375 IF_YOU_ARE_ABLE_TO_MEC,YWT_THIS_RESSAGED_PLEASE_MEND_BE_AN_EMAIL_TO_CYPHERFOLD_A... 3210.50341796875 IF_YOU_ARE_ABLE_TO_KEC,YUT_THIS_RESSAGED_PLEASE_MEND_BE_AN_EMAIL_TO_CYPHERFOLD_A... 3199.76953125 IF_YOU_ARE_ABLE_TO_PEC?Y,T_THIS_MESSAKED_PLEASE_MEND_BE_AN_EMAIL_TO_CYPHERWOLD_A... 3194.1357421875 IF_YOU_ARE_ABLE_TO_PECFYBT_THIS_MESSAKED_PLEASE_MEND_BE_AN_EMAIL_TO_CYPHERWOLD_A... *** Best solution found *** score = 3194.1357421875 alphabets : ['QENRWHDGIFJTBZMAOYKSVCP,LX_?.U', 'SC_GUBRMHLNEVPI?ZQFD.AK,YWXOTJ', ',RGWCVUDJEHOPLIYT?ZNFA_QSKXMB.', 'OUD_FTMYICGL.J?NR,SEAWKZPBXVQH', '_,E?CIV.BYDUFPRSGMAJHZLOXQTKNW'] IF_YOU_ARE_ABLE_TO_PECFYBT_THIS_MESSAKED_PLEASE_MEND_BE_AN_EMAIL_TO_CYPHERWOLD_AT_WERQDE_AND_YOU_WILL_WIN_A_MET_OF_MY_CIPHER_MACHINESS__THIS_CIPHER_BACHINE_IS_MY_LATEST_INVENTION_AND_WILL_DE_A_TOTALLY_ANALOGUE_FUN_MACHINEW_PERFECT_FOR_PUZZLE_LOVERS_AND_PEOPLE_WHO_WANT_TO_SEND_SECRET_MESSAGES_TO_THEIR_DRIENQMF_THANGS_FOR_CRACKING_MR_CODES_ ----- elapsed time 2 min 33 sec
SA_PolyAlpha(k, 5, trace=False)
*** Best solution found *** score = 3143.494384765625 alphabets : ['FENRWKDGIBXTZ,MAOYQSHCP?LV_J.U', 'SC_GUJRMHLNEVPI,ZBFD.AKXYW?OTQ', '.YXWC?UFQEHO,LIJTPZNKA_DSGVRBM', 'O?B_FTSYICKLUQ.NRVDEAWXZPMG,JH', '_?EKCIVFUYDJHBRSGMAZP.LOXQT,NW'] IF_YOU_ARE_ABLE_TO_BECKYUT_THIS_RESSAGED_PLEASE_SEND_ME_AN_EMAIL_TO_CYPHERWOLF_AT_WERFDE_AND_YOU_WILL_WIN_A_SET_OF_MY_CIPHER_MACHINESD__THIS_CIPPER_MACHINE_IS_MY_LATEST_INVENTION_AND_WILL_BE_A_TOTALLY_ANALOGUE_BUN_MACHINEW_PERFECT_FOR_PUZZLE_LOVERS_AND_PEOPLE_WHO_WANT_TO_SEND_SECRET_MESSAGES_TO_THEIR_FRIENDSH_THANGS_FOR_CRACKING_MY_CODED_ ----- elapsed time 4 min 12 sec
Le 22/05/2020 - Contact : Rossignol@bribes.org