BUUCTF 每日打卡 2021-8-11

引言

这两天把博客里里外外翻新了一遍，拖更了，抱歉

[XNUCA2018]baby_crypto

题目给了个加密的伪代码文件： The 26 letters a, b, c, ..., y, z correspond to the integers 0, 1, 2, ..., 25 len(key_a) = m len(key_k) = n c[i] = (p[i] * key_a[i % m] + key_k[i % n]) % 26

p is plain text, only lowercase letters are refered to. c is encrypted text

I have appended the flag at the end of plain text, the format of which is like 'flagis......' Now you have the encrypted text, Good luck!

给了一大串密文 显然又是个类似于维吉尼亚密码的加密，区别就是多了个key_a先作乘法操作 首先尝试进行Kasiski 实验 代码见我2021-7-28的博客的[De1CTF2019]xorz 跑了几分钟，结果如下： 比较可能的值有6，3，2 再试试维吉尼亚爆破网站，由于key_a的存在，应该不大可能得到准确的key_b，结果如下： 基本可以确定key_b的长度为6 对后面的步骤研究的不是很透彻，就去找wp了 物品计算key_b的长度用的是重合指数，代码如下：

c = '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'

best_index = 0.065
sum = 0
dic_index = {'a': 0.08167, 'b': 0.01492, 'c': 0.02782, 'd': 0.04253, 'e': 0.12702, 'f': 0.02228, 'g': 0.02015,
             'h': 0.06094, 'i': 0.06966, 'j': 0.00153, 'k': 0.00772, 'l': 0.04025, 'm': 0.02406, 'n': 0.06749,
             'o': 0.07507, 'p': 0.01929, 'q': 0.00095, 'r': 0.05987, 's': 0.06327, 't': 0.09056, 'u': 0.02758,
             'v': 0.00978, 'w': 0.02360, 'x': 0.00150, 'y': 0.01974, 'z': 0.00074}


def index_of_coincidence(s):
    '''
    计算字符串的重合指数(所有字母出现频率的平方和
    '''
    alpha = 'abcdefghijklmnopqrstuvwxyz'  # 给定字母表
    freq = {}  # 统计字母频率(frequency)
    for i in alpha:
        freq[i] = 0
    # 先全部初始化为0
    for i in s:
        freq[i] = freq[i] + 1
    # 统计频率
    index = 0
    for i in alpha:
        index = index + (freq[i] * (freq[i] - 1)) / (len(s) * (len(s) - 1))
    return index


def index_of_coincidence_m(s):
    '''
    计算明文s中的各字母的频率与英文字母中的频率的吻合程度.
    '''
    alpha = 'abcdefghijklmnopqrstuvwxyz'  # 给定字母表
    freq = {}  # 统计字母频率(frequency)
    for i in alpha:
        freq[i] = 0
    # 先全部初始化为0
    for i in s:
        freq[i] = freq[i] + 1
    # 统计频率
    index = 0
    for i in alpha:
        index = index + freq[i] / len(s) * dic_index[i]
    return index


def get_cycle(c):
    '''
    求出最符合统计学的m,n的最小公共周期,方法为通过爆破足够大的周期样本,观察成倍出现的周期.
    计算方法为解出每一个子密文段的重合指数和然后求平均值 再与最佳重合指数相减 误差在0.01以内.
    '''
    cycle = []
    for i in range(1, 100):
        average_index = 0  # 平均重合指数初始化为0
        for j in range(i):
            s = ''.join(c[j + i * x] for x in range(0, len(c) // i))
            index = index_of_coincidence(s)
            average_index += index
        average_index = average_index / i - best_index
        if abs(average_index) < 0.01:
            cycle.append(i)
    return cycle


cycle = get_cycle(c)
print(cycle)

结果为： 都是6的倍数，可以推测key_b的长度为6 然后利用各字母在英文中的出现频率爆破key_a和key_b：

import gmpy2

c = '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'

length = 6
best_index = 0.065
dic_index = {'a': 0.08167, 'b': 0.01492, 'c': 0.02782, 'd': 0.04253, 'e': 0.12702, 'f': 0.02228, 'g': 0.02015,
             'h': 0.06094, 'i': 0.06966, 'j': 0.00153, 'k': 0.00772, 'l': 0.04025, 'm': 0.02406, 'n': 0.06749,
             'o': 0.07507, 'p': 0.01929, 'q': 0.00095, 'r': 0.05987, 's': 0.06327, 't': 0.09056, 'u': 0.02758,
             'v': 0.00978, 'w': 0.02360, 'x': 0.00150, 'y': 0.01974, 'z': 0.00074}
alpha = 'abcdefghijklmnopqrstuvwxyz'  # 给定字母表

def index_of_coincidence_m(s):
    # 计算明文s中的各字母的频率与英文字母中的频率的吻合程度.
    freq = {}  # 统计字母频率(frequency)
    for i in alpha:
        freq[i] = 0
    # 先全部初始化为0
    for i in s:
        freq[i] = freq[i] + 1
    # 统计频率
    index = 0
    for i in alpha:
        index = index + freq[i] / len(s) * dic_index[i]
    return index


def decrypt(c, i, j):
    # 通过i,j解出与之相对应的密文段
    m = ''
    for x in c:
        m += alpha[((alpha.index(x) - j) * gmpy2.invert(i, 26)) % 26]
    return m


def get_key(c):
    '''
    得到某一密文段的单个字符key i j
    方法为暴力枚举所有的可能性,找到最符合统计学规律的 i,j 即该密文段的重合指数与最佳重合指数误差小于0.01
    '''
    for ka in range(26):
        if gmpy2.gcd(ka, 26) != 1:  # i对26的逆元不只一个,造成明文不唯一,因此不符合条件.
            continue
        for kb in range(26):
            m = decrypt(c, ka, kb)
            index = index_of_coincidence_m(m)
            if abs(index - best_index) < 0.01:
                return (ka, kb)


def get_all_key(c, length):
    # 得到一个周期内的所有的密文段的key
    for i in range(length):
        temps = ''.join([c[i + x * length] for x in range(0, len(c) // length)])
        print(get_key(temps))


get_all_key(c, length)

发现key_a以3为周期，推测key_a长度为3，得到key_a和key_b 最后还原明文：

plaintext = ''
keya = [19, 7, 23]
keyb = [10, 9, 3, 24, 14, 15]
key_a = ''
key_b = ''
for i in range(len(keya)):
    key_a += alpha[keya[i]]
for i in range(len(keyb)):
    key_b += alpha[keyb[i]]
print(key_a, key_b)
len_a = len(keya)
len_b = len(keyb)

for i in range(len(c)):
    plaintext += alpha[((alpha.index(c[i]) - keyb[i % len_b]) * gmpy2.invert(keya[i % len_a], 26)) % 26]
print(plaintext)

结果为： 后来对代码作了一些修改来解[De1CTF2019]xorz，代码如下：

from itertools import cycle

best_index = 0.065
dic_index = {'a': 0.08167, 'b': 0.01492, 'c': 0.02782, 'd': 0.04253, 'e': 0.12702, 'f': 0.02228, 'g': 0.02015,
             'h': 0.06094, 'i': 0.06966, 'j': 0.00153, 'k': 0.00772, 'l': 0.04025, 'm': 0.02406, 'n': 0.06749,
             'o': 0.07507, 'p': 0.01929, 'q': 0.00095, 'r': 0.05987, 's': 0.06327, 't': 0.09056, 'u': 0.02758,
             'v': 0.00978, 'w': 0.02360, 'x': 0.00150, 'y': 0.01974, 'z': 0.00074}
alpha = 'abcdefghijklmnopqrstuvwxyz'  # 给定字母表


def index_of_coincidence_m(s):
    # 计算明文s中的各字母的频率与英文字母中的频率的吻合程度.
    s = s.lower().replace(' ', '').replace(',', '').replace('.', '').replace(';', '').replace('`', '').replace('\n', '').replace('\'', '')
    freq = {}  # 统计字母频率(frequency)
    for i in alpha:
        freq[i] = 0
    # 先全部初始化为0
    for i in s:
        freq[i] = freq[i] + 1
    # 统计频率
    index = 0
    for i in alpha:
        index = index + freq[i] / len(s) * dic_index[i]
    return index


def decrypt(c, k):
    # 通过i,j解出与之相对应的密文段
    m = ''
    for x in c:
        if ord('a') <= x ^ k <= ord('z') or ord('A') <= x ^ k <= ord('Z') or x ^ k == ord(' ') or x ^ k == ord(
                ',') or x ^ k == ord('.') or x ^ k == ord(';') or x ^ k == ord('`') or x ^ k == ord(
                '\n') or x ^ k == ord('\''):
            m += chr(x ^ k)
        else:
            break
    return m


def get_key(c):
    '''
    方法为暴力枚举所有的可能性,找到最符合统计学规律的 i,j 即该密文段的重合指数与最佳重合指数误差小于0.01
    '''
    for k in range(21, 127):
        m = decrypt(c, k)
        if len(m) == len(c):
            print(m)
            index = index_of_coincidence_m(m)
            if abs(index - best_index) < 0.1:
                return k


def get_all_key(c, length):
    # 得到一个周期内的所有的密文段的key
    key = []
    for i in range(length):
        temps = [c[i + x * length] for x in range(0, len(c) // length)]
        print(temps)
        key.append(get_key(temps))
    return key


c = "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"
length = 30


def getCipher(c):
    codeintlist = []
    codeintlist.extend(
        (map(lambda i: int(c[i:i + 2], 16), range(0, len(c), 2))))
    salt = "WeAreDe1taTeam"
    si = cycle(salt)
    newcodeintlist = [ci ^ ord(next(si)) for ci in codeintlist]
    return newcodeintlist


c = getCipher(c)
key = get_all_key(c, length)
print(key)
key0 = ''
for k in key:
    if k:
        key0 += chr(k)
    else:
        key0 += ' '
print(key0)
# W3lcm3tOjo1n5un1ojt3mcl3W

ki = cycle(key0)
plaintext = ''
for i in range(len(c)):
    plaintext += chr(c[i] ^ ord(next(ki)))
print(plaintext)

得到结果为： 可能是因为给的密文长度比较短，无法完整还原key和明文

后来我又思考了两个问题：由于本题key_b的长度是key_a的倍数，那么如果是\(gcd(len(key_a), len(key_b)) > 1\)的情况呢？或者是\(gcd(len(key_a), len(key_b)) = 1\)的情况呢？上述几种方法是否仍然适用呢？讨论如下： 我们采用本题的明文，首先用python实现加密：

plain = 'sandandfoambykahlilgibraniamforeverwalkingupontheseshoresbetwixtthesandandthefoamthehightidewillerasemyfootprintsandthewindwillblowawaythefoambuttheseaandtheshorewillremainforeveronceifilledmyhandwithmisttheniopeneditandlothemistwasawormandiclosedandopenedmyhandagainandbeholdtherewasabirdandagainiclosedandopenedmyhandandinitshollowstoodamanwithasadfaceturnedupwardandagainiclosedmyhandandwheniopenedittherewasnaughtbutmistbutiheardasongofexceedingsweetnessitwasbutyesterdayithoughtmyselfafragmentquiveringwithoutrhythminthesphereoflifenowiknowthatiamthesphereandalllifeinrhythmicfragmentsmoveswithinmetheysaytomeintheirawakeningyouandtheworldyouliveinarebutagrainofsandupontheinfiniteshoreofaninfiniteseaandinmydreamisaytothemiamtheinfiniteseaandallworldsarebutgrainsofsanduponmyshoreonlyoncehaveibeenmademuteitwaswhenamanaskedmewhoareyouthefirstthoughtofgodwasanangelthefirstwordofgodwasamanwewereflutteringwanderinglongingcreaturesathousandthousandyearsbeforetheseaandthewindintheforestgaveuswordsnowhowcanweexpresstheancientofdaysinuswithonlythesoundsofouryesterdaysthesphinxspokeonlyonceandthesphinxsaidagrainofsandisadesertandadesertisagrainofsandandnowletusallbesilentagainiheardthesphinxbutididnotunderstandlongdidilieinthedustofegyptsilentandunawareoftheseasonsthenthesungavemebirthandiroseandwalkeduponthebanksofthenilesingingwiththedaysanddreamingwiththenightsandnowthesunthreadsuponmewithathousandfeetthatimaylieagaininthedustofegyptbutbeholdamarvelandariddletheverysunthatgatheredmecannotscattermestillerectamiandsureoffootdoiwalkuponthebanksofthenileremembranceisaformofmeetingforgetfulnessisaformoffreedomwemeasuretimeaccordingtothemovementofcountlesssunsandtheymeasuretimebylittlemachinesintheirlittlepocketsnowtellmehowcouldweevermeetatthesameplaceandthesametimespaceisnotspacebetweentheearthandthesuntoonewholooksdownfromthewindowsofthemilkywayhumanityisariveroflightrunningfromtheexeternitytoeternitydonotthespiritswhodwellintheetherenvymanhispainonmywaytotheholycityimetanotherpilgrimandiaskedhimisthisindeedthewaytotheholycityandhesaidfollowmeandyouwillreachtheholycityinadayandanightandifollowedhimandwewalkedmanydaysandmanynightsyetwedidnotreachtheholycityandwhatwastomysurprisehebecameangrywithmebecausehehadmisledmemakemeohgodthepreyofthelionereyoumaketherabbitmypreyonemaynotreachthedawnsavebythepathofthenightmyhousesaystomedonotleavemeforheredwellsyourpastandtheroadsaystomecomeandfollowmeforiamyourfutureandisaytobothmyhouseandtheroadihavenopastnorhaveiafutureifistayherethereisagoinginmystayingandifigothereisastayinginmygoingonlyloveanddeathwillchangeallthingshowcanilosefaithinthejusticeoflifewhenthedreamsofthosewhosleepuponfeathersarenotmorebeautifulthanthedreamsofthosewhosleepupontheearthstrangethedesireforcertainpleasuresisapartofmypainseventimeshaveidespisedmysoulthefirsttimewhenisawherbeingmeekthatshemightattainheightthesecondtimewhenisawherlimpingbeforethecrippledthethirdtimewhenshewasgiventochoosebetweenthehardandtheeasyandshechosetheeasythefourthtimewhenshecommittedawrongandcomfortedherselfthatothersalsocommitwrongthefifthtimewhensheforboreforweaknessandattributedherpatiencetostrengththesixthtimewhenshedespisedtheuglinessofafaceandknewnotthatitwasoneofherownmasksandtheseventhtimewhenshesangasongofpraiseanddeemeditavirtueiamignorantofabsolutetruthbutiamhumblebeforemyignoranceandthereinliesmyhonorandmyrewardthereisaspacebetweenmansimaginationandmansattainmentthatmayonlybetraversedbyhislongingparadiseistherebehindthatdoorinthenextroombutihavelostthekeyperhapsihaveonlymislaidityouareblindandiamdeafanddumbsoletustouchhandsandunderstandthesignificanceofmanisnotinwhatheattainsbutratherinwhathelongstoattainsomeofusarelikeinkandsomelikepaperandifitwerenotfortheblacknessofsomeofussomeofuswouldbedumbandifitwerenotforthewhitenessofsomeofussomeofuswouldbeblindgivemeanearandiwillgiveyouavoiceourmindisaspongeourheartisastreamisitnotstrangethatmostofuschoosesuckingratherthanrunningwhenyoulongforblessingsthatyoumaynotnameandwhenyougrieveknowingnotthecausethenindeedyouaregrowingwithallthingsthatgrowandrisingtowardyourgreaterselfwhenoneisdrunkwithavisionhedeemshisfaintexpressionofittheverywineyoudrinkwinethatyoumaybeintoxicatedandidrinkthatitmaysobermefromthatotherwinewhenmycupisemptyiresignmyselftoitsemptinessbutwhenitishalffulliresentitshalffulnesstherealityoftheotherpersonisnotinwhatherevealstoyoubutinwhathecannotrevealtoyouthereforeifyouwouldunderstandhimlistennottowhathesaysbutrathertowhathedoesnotsayhalfofwhatisayismeaninglessbutisayitsothattheotherhalfmayreachyouasenseofhumourisasenseofproportionmylonelinesswasbornwhenmenpraisedmytalkativefaultsandblamedmysilentvirtueswhenlifedoesnotfindasingertosingherheartsheproducesaphilosophertospeakhermindatruthistobeknownalwaystobeutteredsometimestherealinusissilenttheacquiredistalkativethevoiceoflifeinmecannotreachtheearoflifeinyoubutletustalkthatwemaynotfeellonelywhentwowomentalktheysaynothingwhenonewomanspeakssherevealsalloflifefrogsmaybellowlouderthanbullsbuttheycannotdragtheploughinthefieldnotturnthewheelofthewinepressandoftheirskinsyoucannotmakeshoesonlythedumbenvythetalkativeifwintershouldsayspringisinmyheartwhowouldbelievewintereveryseedisalongingshouldyoureallyopenyoureyesandseeyouwouldbeholdyourimageinallimagesandshouldyouopenyourearsandlistenyouwouldhearyourownvoiceinallvoicesittakestwoofustodiscovertruthonetoutteritandonetounderstanditthoughthewaveofwordsisforeveruponusyetourdepthisforeversilentmanyadoctrineislikeawindowpaneweseetruththroughitbutitdividesusfromtruthnowletusplayhideandseekshouldyouhideinmyheartitwouldnotbedifficulttofindyoubutshouldyouhidebehindyourownshellthenitwouldbeuselessforanyonetoseekyouawomanmayveilherfacewithasmilehownobleisthesadheartwhowouldsingajoyoussongwithjoyousheartshewhowouldunderstandawomanordissectgeniusorsolvethemysteryofsilenceistheverymanwhowouldwakefromabeautifuldreamtositatabreakfasttableiwouldwalkwithallthosewhowalkiwouldnotstandstilltowatchtheprocessionpassingbyyouowemorethangoldtohimwhoservesyougivehimofyourheartorservehimnaywehavenotlivedinvainhavetheynotbuilttowersofourbonesletusnotbeparticularandsectionalthepoetsmindandthescorpionstailriseingloryfromthesameeartheverydragongivesbirthtoastgeorgewhoslaysittreesarepoemsthattheearthwritesupontheskywefellthemdownandturnthemintopaperthatwemayrecordouremptinessshouldyoucaretowriteandonlythesaintsknowwhyyoushouldyoumustneedshaveknowledgeandartandmusictheknowledgeofthemusicofwordstheartofbeingartlessandthemagicoflovingyourreaderstheydiptheirpensinourheartsandthinktheyareinspiredshouldatreewriteitsautobiographyitwouldnotbeunlikethehistoryofaraceifiweretochoosebetweenthepowerofwritingapoemandtheecstasyofapoemunwritteniwouldchoosetheecstasyitisbetterpoetrybutyouandallmyneighborsagreethatialwayschoosebadlypoetryisnotanopinionexpresseditisasongthatrisesfromableedingwoundorasmilingmouthwordsaretimelessyoushouldutterthemorwritethemwithaknowledgeoftheirtimelessnessapoetisadethronedkingsittingamongtheashesofhispalacetryingtofashionanimageoutoftheashespoetryisadealofjoyandpainandwonderwithadashofthedictionaryinvainshallapoetseekthemotherofthesongsofhisheartonceisaidtoapoetweshallnotknowyourworthuntilyoudieandheansweredsayingyesdeathisalwaystherevealerandifindeedyouwouldknowmyworthitisthatihavemoreinmyheartthanuponmytongueandmoreinmydesirethaninmyhandifyousingofbeautythoughaloneintheheartofthedesertyouwillhaveanaudiencepoetryiswisdomthatenchantstheheartwisdomispoetrythatsingsinthemindifwecouldenchantmansheartandatthesametimesinginhismindthenintruthhewouldliveintheshadowofgodinspirationwillalwayssinginspirationwillneverexplainweoftensinglullabiestoourchildrenthatweourselvesmaysleepallourwordsarebutcrumbsthatfalldownfromthefeastofthemindthinkingisalwaysthestumblingstonetopoetryagreatsingerishewhosingsoursilenceshowcanyousingifyourmouthbefilledwithfoodhowshallyourhandberaisedinblessingifitisfilledwithgoldtheysaythenightingalepierceshisbosomwithathornwhenhesingshislovesongsodoweallhowelseshouldwesinggeniusisbutarobinssongatthebeginningofaslowspringeventhemostwingedspiritcannotescapephysicalnecessityamadmanisnotlessamusicianthanyouormyselfonlytheinstrumentonwhichheplaysisalittleoutoftunethesongthatliessilentintheheartofamothersingsuponthelipsofherchildnolongingremainsunfulfilledihaveneveragreedwithmyotherselfwhollythetruthofthematterseemstoliebetweenusyourotherselfisalwayssorryforyoubutyourotherselfgrowsonsorrowsoalliswellthereisnostruggleofsoulandbodysaveinthemindsofthosewhosesoulsareasleepandwhosebodiesareoutoftunewhenyoureachtheheartoflifeyoushallfindbeautyinallthingsevenintheeyesthatareblindtobeautyweliveonlytodiscoverbeautyallelseisaformofwaitingsowaseedandtheearthwillyieldyouaflowerdreamyourdreamtotheskyanditwillbringyouyourbelovedthedevildiedtheverydayyouwerebornnowyoudonothavetogothroughhelltomeetanangelmanyawomanborrowsamansheartveryfewcouldpossessitifyouwouldpossessyoumustnotclaimwhenamanshandtouchesthehandofawomantheybothtouchtheheartofeternityloveistheveilbetweenloverandlovereverymanlovestwowomentheoneisthecreationofhisimaginationandtheotherisnotyetbornmenwhodonotforgivewomentheirlittlefaultswillneverenjoytheirgreatvirtueslovethatdoesnotrenewitselfeverydaybecomesahabitandinturnaslaveryloversembracethatwhichisbetweenthemratherthaneachotherloveanddoubthaveneverbeenonspeakingtermsloveisawordoflightwrittenbyahandoflightuponapageoflightfriendshipisalwaysasweetresponsibilityneveranopportunityifyoudonotunderstandyourfriendunderallconditionsyouwillneverunderstandhimyourmostradiantgarmentisoftheotherpersonsweavingyoumostsavorymealisthatwhichyoueatattheotherpersonstableyourmostcomfortablebedisintheotherpersonshousenowtellmehowcanyouseparateyourselffromtheotherpersonyourmindandmyheartwillneveragreeuntilyourmindceasestoliveinnumbersandmyheartinthemistweshallneverunderstandoneanotheruntilwereducethelanguagetosevenwordshowshallmyheartbeunsealedunlessitbebrokenonlygreatsorroworgreatjoycanrevealyourtruthifyouwouldberevealedyoumusteitherdancenakedinthesunorcarryyourcrossshouldnatureheedwhatwesayofcontentmentnoriverwouldseektheseaandnowinterwouldturntospringshouldsheheedallwesayofthrifthowmanyofuswouldbebreathingthisairyouseebutyourshadowwhenyouturnyourbacktothesunyouarefreebeforethesunofthedayandfreebeforethestarsofthenightandyouarefreewhenthereisnosunandnomoonandnostaryouareevenfreewhenyoucloseyoureyesuponallthereisbutyouareaslavetohimwhomyoulovebecauseyoulovehimandaslavetohimwholovesyoubecausehelovesyouweareallbeggarsatthegateofthetempleandeachoneofusreceiveshisshareofthebountyofthekingwhenheentersthetempleandwhenhegoesoutbutwearealljealousofoneanotherwhichisanotherwayofbelittlingthekingyoucannotconsumebeyondyourappetitetheotherhalfoftheloafbelongstotheotherpersonandthereshouldremainalittlebreadforthechanceguestifitwerenotforyourguestsallhouseswouldbegravessaidagraciouswolftoasimplesheepwillyounothonorourhousewithavisitandthesheepansweredwewouldhavebeenhonoredtovisityourhouseifitwerenotinyourstomachistoppedmyguestonthethresholdandsaidnaywipenotyourfeetasyouenterbutasyougooutgenerosityisnotingivingmethatwhichineedmorethanyoudobutitisingivingmethatwhichyouneedmorethanidoyouareindeedcharitablewhenyougiveandwhilegivingturnyourfaceawaysothatyoumaynotseetheshynessofthereceiverthedifferencebetweentherichestmanandthepoorestisbutadayofhungerandanhourofthirstweoftenborrowfromourtomorrowstopayourdebtstoouryesterdaysitooamvisitedbyangelsanddevilsbutigetridofthemwhenitisanangeliprayanoldprayerandheisboredwhenitisadevilicommitanoldsinandhepassesmebyafterallthisisnotabadprisonbutidonotlikethiswallbetweenmycellandthenextprisonerscellyetiassureyouthatidonotwishtoreproachthewardernotthebuilderoftheprisonthosewhogiveyouaserpentwhenyouaskforafishmayhavenothingbutserpentstogiveitisthengenerosityontheirparttrickerysucceedssometimesbutitalwayscommitssuicideyouaretrulyaforgiverwhenyouforgivemurdererswhoneverspillbloodthieveswhoneverstealandliarswhoutternofalsehoodhewhocanputhisfingeruponthatwhichdividesgoodfromevilishewhocantouchtheveryhemofthegarmentofgodifyourheartisavolcanohowshallyouexpectflowerstobloominyourhandsastrangeformofselfindulgencetherearetimeswheniwouldbewrongedandcheatedthatimaylaughattheexpenseofthosewhothinkidonotknowiambeingwrongedandcheatedwhatshallisayofhimwhoisthepursuerplayingthepartofthepursuedlethimwhowipeshissoiledhandswithyourgarmenttakeyourgarmenthemayneeditagainsurelyyouwouldnotitisapitythatmoneychangerscannotbegoodgardenerspleasedonotwhitewashyourinherentfaultswithyouracquiredvirtuesiwouldhavethefaultstheyarelikemineownhowoftenhaveiattributedtomyselfcrimesihavenevercommittedsothattheotherpersonmayfeelcomfortableinmypresenceeventhemasksoflifearemasksofdeepermysteryyoumayjudgeothersonlyaccordingtoyourknowledgeofyourselftellmenowwhoamongusisguiltyandwhoisunguiltythetrulyjustishewhofeelshalfguiltyofyourmisdeedsonlyanidiotandageniusbreakmanmadelawsandtheyarethenearesttotheheartofgoditisonlywhenyouarepursuedthatyoubecomeswiftihavenoenemiesogodbutifiamtohaveanenemylethisstrengthbeequaltominethattruthalonemaybethevictoryouwillbequitefriendlywithyourenemywhenyoubothdieperhapsamanmaycommitsuicideinselfdefenselongagotherelivedamanwhowascrucifiedforbeingtoolovingandtoolovableandstrangetorelateimethimthriceyesterdaythefirsttimehewasaskingapolicemannottotakeaprostitutetoprisonthesecondtimehewasdrinkingwinewithanoutcastandthethirdtimehewashavingafistfightwithapromoterinsideachurchifalltheysayofgoodandevilweretruethenmylifeisbutonelongcrimepityisbuthalfjusticetheonlyonewhohasbeenunjusttomeistheonetowhosebrotherihavebeenunjustwhenyouseeamanledtoprisonsayinyourheartmayhapheisescapingfromanarrowerprisonandwhenyouseeamandrunkensayinyourheartmayhaphesoughtescapefromsomethingstillmoreunbeautifuloftentimesihavehatedinselfdefensebutifiwerestrongeriwouldnothaveusedsuchaweaponhowstupidishewhowouldpatchthehatredinhiseyeswiththesmileofhislipsonlythosebeneathmecanenvyorhatemeihaveneverbeenenviednorhatediamabovenooneonlythoseabovemecanpraiseorbelittlemeihaveneverbeenpraisednorbelittlediambelownooneyoursayingtomeidonotunderstandyouispraisebeyondmyworthandaninsultyoudonotdeservehowmeanamiwhenlifegivesmegoldandigiveyousilverandyetideemmyselfgenerouswhenyoureachtheheartoflifeyouwillfindyourselfnothigherthanthefelonandnotlowerthantheprophetstrangethatyoushouldpitytheslowfootedandnottheslowmindedandtheblindeyedratherthantheblindhearteditiswiserforthelamenottobreakhiscrutchesupontheheadofhisenemyhowblindishewhogivesyououtofhispocketthathemaytakeoutofyourheartlifeisaprocessiontheslowoffootfindsittooswiftandhestepsoutandtheswiftoffootfindsittooslowandhetoostepsoutifthereissuchathingassinsomeofuscommititbackwardfollowingourforefathersfootstepsandsomeofuscommititforwardbyoverrulingourchildrenthetrulygoodishewhoisonewithallthosewhoaredeemedbadweareallprisonersbutsomeofusareincellswithwindowsandsomewithoutstrangethatwealldefendourwrongswithmorevigorthanwedoourrightsshouldweallconfessoursinstooneanotherwewouldalllaughatoneanotherforourlackoforiginalityshouldweallrevealourvirtueswewouldalsolaughforthesamecauseanindividualisabovemanmadelawsuntilhecommitsacrimeagainstmanmadeconventionsafterthatheisneitheraboveanyonenorlowerthananyonegovernmentisanagreementbetweenyouandmyselfyouandmyselfareoftenwrongcrimeiseitheranothernameofneedoranaspectofadiseaseisthereagreaterfaultthanbeingconsciousoftheotherpersonsfaultsiftheotherpersonlaughsatyouyoucanpityhimbutifyoulaughathimyoumayneverforgiveyourselfiftheotherpersoninjuresyouyoumayforgettheinjurybutifyouinjurehimyouwillalwaysrememberintruththeotherpersonisyourmostsensitiveselfgivenanotherbodyhowheedlessyouarewhenyouwouldhavemenflywithyourwingsandyoucannotevengivethemafeatheronceamansatatmyboardandatemybreadanddrankmywineandwentawaylaughingatmethenhecameagainforbreadandwineandispurnedhimandtheangelslaughedatmehateisadeadthingwhoofyouwouldbeatombitisthehonorofthemurderedthatheisnotthemurdererthetribuneofhumanityisinitssilentheartneveritstalkativemindtheydeemmemadbecauseiwillnotsellmydaysforgoldandideemthemmadbecausetheythinkmydayshaveapricetheyspreadbeforeustheirrichesofgoldandsilverofivoryandebonyandwespreadbeforethemourheartsandourspiritsandyettheydeemthemselvesthehostsandustheguestsiwouldnotbetheleastamongmenwithdreamsandthedesiretofulfillthemratherthanthegreatestwithnodreamsandnodesiresthemostpitifulamongmenishewhoturnshisdreamsintosilverandgoldweareallclimbingtowardthesummitofourheartsdesireshouldtheotherclimberstealyoursackandyourpurseandwaxfatontheoneandheavyontheotheryoushouldpityhimtheclimbingwillbeharderforhisfleshandtheburdenwillmakehiswaylongerandshouldyouinyourleannessseehisfleshpuffingupwardhelphimastepitwilladdtoyourswiftnessyoucannotjudgeanymanbeyondyourknowledgeofhimandhowsmallisyourknowledgeiwouldnotlistentoaconquerorpreachingtotheconqueredthetrulyfreemanishewhobearstheloadofthebondslavepatientlyathousandyearsagomyneighborsaidtomeihatelifeforitisnaughtbutathingofpainandyesterdayipassedbyacemeteryandsawlifedancinguponhisgravestrifeinnatureisbutdisorderlongingforordersolitudeisasilentstormthatbreaksdownallourdeadbranchesyetitsendsourlivingrootsdeeperintothelivingheartofthelivingearthonceispokeoftheseatoabrookandthebrookthoughtmebutanimaginativeexaggeratorandonceispokeofabrooktotheseaandtheseathoughtmebutadepreciativedefamerhownarrowisthevisionthatexaltsthebusynessoftheantabovethesingingofthegrasshopperthehighestvirtueheremaybetheleastinanotherworldthedeepandthehighgotothedepthortotheheightinastraightlineonlythespaciouscanmoveincirclesifitwerenotforourconceptionofweightsandmeasureswewouldstandinaweofthefireflyaswedobeforethesunascientistwithoutimaginationisabutcherwithdullknivesandoutwornscalesbutwhatwouldyousincewearenotallvegetarianswhenyousingthehungryhearsyouwithhisstomachdeathisnotnearertotheagedthantothenewbornneitherislifeifindeedyoumustbecandidbecandidbeautifullyotherwisekeepsilentforthereisamaninourneighborhoodwhoisdyingmayhapafuneralamongmenisaweddingfeastamongtheangelsaforgottenrealitymaydieandleaveinitswillseventhousandactualitiesandfactstobespentinitsfuneralandthebuildingofatombintruthwetalkonlytoourselvesbutsometimeswetalkloudenoughthatothersmayhearustheobviousisthatwhichisneverseenuntilsomeoneexpressesitsimplyifthemilkywaywerenotwithinmehowshouldihaveseenitorknownitunlessiamaphysicianamongphysicianstheywouldnotbelievethatiamanastronomerperhapstheseasdefinitionofashellisthepearlperhapstimesdefinitionofcoalisthediamondfameistheshadowofpassionstandinginthelightarootisaflowerthatdisdainsfamethereisneitherreligionnorsciencebeyondbeautyeverygreatmanihaveknownhadsomethingsmallinhismakeupanditwasthatsmallsomethingwhichpreventedinactivityormadnessorsuicidethetrulygreatmanishewhowouldmasternooneandwhowouldbemasteredbynoneiwouldnotbelievethatamanismediocresimplybecausehekillsthecriminalsandtheprophetstoleranceislovesickwiththesicknessofhaughtinesswormswillturnbutisitnotstrangethatevenelephantswillyieldadisagreementmaybetheshortestcutbetweentwomindsiamtheflameandiamthedrybushandonepartofmeconsumestheotherpartweareallseekingthesummitoftheholymoutainbutshallnotourroadbeshorterifweconsiderthepastachartandnotaguidewisdomceasestobewisdomwhenitbecomestooproudtoweeptoogravetolaughandtooselffultoseekotherthanitselfhadifilledmyselfwithallthatyouknowwhatroomshouldihaveforallthatyoudonotknowihavelearnedsilencefromthetalkativetolerationfromtheintolerantandkindnessfromtheunkindyetstrangeiamungratefultotheseteachersabigotisastoneleaforatorthesilenceoftheenviousistoonoisywhenyoureachtheendofwhatyoushouldknowyouwillbeatthebeginningofwhatyoushouldsenseanexaggerationisatruththathaslostitstemperifyoucanseeonlywhatlightrevealsandhearonlywhatsoundannouncesthenintruthyoudonotseenordoyouhearafactisatruthunsexedyoucannotlaughandbeunkindatthesametimethenearesttomyheartareakingwithoutakingdomandapoormanwhodoesnotknowhowtobegashyfailureisnoblerthananimmodestsuccessdiganywhereintheearthandyouwillfindatreasureonlyyoumustdigwiththefaithofapeasantsaidahuntedfoxfollowedbytwentyhorsemenandapackoftwentyhoundsofcoursetheywillkillmebuthowpoorandhowstupidtheymustbesurelyitwouldnotbeworthwhilefortwentyfoxesridingontwentyassesandaccompaniedbytwentywolvestochaseandkillonemanitisthemindinusthatyieldstothelawsmadebyusbutneverthespiritinusatraveleramiandanavigatorandeverydayidiscoveranewregionwithinmysoulawomanprotestedsayingofcourseitwasarighteouswarmysonfellinitisaidtolifeiwouldheardeathspeakandliferaisedhervoicealittlehigherandsaidyouhearhimnowwhenyouhavesolvedallthemysteriesoflifeyoulongfordeathforitisbutanothermysteryoflifebirthanddeatharethetwonoblestexpressionsofbraverymyfriendyouandishallremainstrangersuntolifeanduntooneanotherandeachuntohimselfuntilthedaywhenyoushallspeakandishalllistendeemingyourvoicemyownvoiceandwhenishallstandbeforeyouthinkingmyselfstandingbeforeamirrortheysaytomeshouldyouknowyourselfyouwouldknowallmenandisayonlywheniseekallmenshalliknowmyselfmanistwomenoneisawakeindarknesstheotherisasleepinlightahermitisonewhorenouncestheworldoffragmentsthathemayenjoytheworldwhollyandwithoutinterruptionthereliesagreenfieldbetweenthescholarandthepoetshouldthescholarcrossithebecomesawisemanshouldthepoetcrossithebecomesaprophetyestereveisawphilosophersinthemarketplacecarryingtheirheadsinbasketsandcryingaloudwisdomwisdomforsalepoorphilosopherstheymustneedsselltheirheadstofeedtheirheartssaidaphilosophertoastreetsweeperipityyouyoursisahardanddirtytaskandthestreetsweepersaidthankyousirbuttellmewhatisyourtaskandthephilosopheransweredsayingistudymansmindhisdeedsandhisdesiresthenthestreetsweeperwentonwithhissweepingandsaidwithasmileipityyoutoohewholistenstotruthisnotlessthanhewhoutterstruthnomancandrawthelinebetweennecessitiesandluxuriesonlytheangelscandothatandtheangelsarewiseandwistfulperhapstheangelsareourbetterthoughtinspaceheisthetrueprincewhofindshisthroneintheheartofthedervishgenerosityisgivingmorethanyoucanandprideistakinglessthanyouneedintruthyouowenaughttoanymanyouowealltoallmenallthosewhohavelivedinthepastlivewithusnowsurelynoneofuswouldbeanungracioushosthewholongsthemostlivesthelongesttheysaytomeabirdinthehandisworthteninthebushbutisayabirdandafeatherinthebushisworthmorethantenbirdsinthehandyourseekingafterthatfeatherislifewithwingedfeetnayitislifeitselfthereareonlytwoelementsherebeautyandtruthbeautyintheheartsofloversandtruthinthearmsofthetillersofthesoilgreatbeautycapturesmebutabeautystillgreaterfreesmeevenfromitselfbeautyshinesbrighterintheheartofhimwholongsforitthanintheeyesofhimwhoseesitiadmirehimwhorevealshismindtomeihonorhimwhounveilshisdreamsbutwhyamishyandevenalittleashamedbeforehimwhoservesmethegiftedwereonceproudinservingprincesnowtheyclaimhonorinservingpauperstheangelsknowthattoomanypracticalmeneattheirbreadwiththesweatofthedreamersbrowwitisoftenamaskifyoucouldtearityouwouldfindeitherageniusirritatedorclevernessjugglingtheunderstandingattributestomeunderstandingandthedulldullnessithinktheyarebothrightonlythosewithsecretsintheirheartscoulddivinethesecretsinourheartshewhowouldshareyourpleasurebutnotyourpainshalllosethekeytooneofthesevengatesofparadiseyesthereisanirvanahitisinleadingyoursheeptoagreenpastureandinputtingyourchildtosleepandinwritingthelastlineofyourpoemwechooseourjoysandoursorrowslongbeforeweexperiencethemsadnessisbutawallbetweentwogardenswheneitheryourjoyoryoursorrowbecomesgreattheworldbecomessmalldesireishalfoflifeidifferenceishalfofdeaththebitterestthinginourtodayssorrowisthememoryofouryesterdaysjoytheysaytomeyoumustneedschoosebetweenthepleasuresofthisworldandthepeaceofthenextworldandisaytothemihavechosenboththedelightsofthisworldandthepeaceofthenextforiknowinmyheartthatthesupremepoetwrotebutonepoemanditscansperfectlyanditalsorhymesperfectlyfaithisanoasisintheheartwhichwillneverbereachedbythecaravanofthinkingwhenyoureachyourheightyoushalldesirebutonlyfordesireandyoushallhungerforhungerandyoushallthirstforgreaterthirstifyourevealyoursecretstothewindyoushouldnotblamethewindforrevealingthemtothetreestheflowersofspringarewintersdreamsrelatedatthebreakfasttableoftheangelssaidaskunktoatuberoseseehowswiftlyirunwhileyoucannotwalknorevencreepsaidthetuberosetotheskunkohmostnobleswiftrunnerpleaserunswiftlyturtlescantellmoreaboutroadsthanharesstrangethatcreatureswithoutbackboneshavethehardestshellsthemosttalkativeistheleastintelligentandthereishardlyadifferencebetweenanoratorandanauctioneerbegratefulthatyoudonothavetolivedowntherenownofafathernorthewealthofanunclebutaboveallbegratefulthatnoonewillhavetolivedowneitheryourrenownoryourwealthonlywhenajugglermissescatchinghisballdoesheappealtometheenviouspraisesmeunknowinglylongwereyouadreaminyourmotherssleepandthenshewoketogiveyoubirththegermoftheraceisinyourmotherslongingmyfatherandmotherdesiredachildandtheybegotmeandiwantedamotherandafatherandibegotnightandtheseasomeofourchildrenareourjustificationsandsomearebutourregretswhennightcomesandyoutooaredarkliedownandbedarkwithawillandwhenmorningcomesandyouarestilldarkstandupandsaytothedaywithawilliamstilldarkitisstupidtoplayarolewiththenightandthedaytheywouldbothlaughatyouthemountainveiledinmistisnotahillanoaktreeintherainisnotaweepingwillowbeholdhereisaparadoxthedeepandhigharenearertooneanotherthanthemidleveltoeitherwhenistoodaclearmirrorbeforeyouyougazedintomeandsawyourimagethenyousaidiloveyoubutintruthyoulovedyourselfinmewhenyouenjoylovingyourneighboritceasestobeavirtuelovewhichisnotalwaysspringingisalwaysdyingyoucannothaveyouthandtheknowledgeofitatthesametimeforyouthistoobusylivingtoknowandknowledgeistoobusyseekingitselftoliveyoumaysitatyourwindowwatchingthepassersbyandwatchingyoumayseeanunwalkingtowardyourrighthandandaprostitutetowardyourlefthandandyoumaysayinyourinnocencehownobleistheoneandhowignobleistheotherbutshouldyoucloseyoureyesandlistenawhileyouwouldhearavoicewhisperingintheetheroneseeksmeinprayerandtheotherinpainandinthespiritofeachthereisabowerformyspiritonceeveryhundredyearsjesusofnazarethmeetsjesusofthechristianinagardenamongthehillsoflebanonandtheytalklongandeachtimejesusofnazarethgoesawaysayingtojesusofthechristianmyfriendifearweshallneverneveragreemaygodfeedtheoverabundantagreatmanhastwoheartsonebleedsandtheotherforbearsshouldonetellaliewhichdoesnothurtyounoranyoneelsewhynotsayinyourheartthatthehouseofhisfactsistoosmallforhisfanciesandhehadtoleaveitforlargerspacebehindeverycloseddoorisamysterysealedwithsevensealswaitingisthehoofsoftimewhatiftroubleshouldbeanewwindowintheeasternwallofyourhouseyoumayforgettheonewithwhomyouhavelaughedbutnevertheonewithwhomyouhavewepttheremustbesomethingstrangelysacredinsaltitisinourtearsandintheseaourgodinhisgraciousthirstwilldrinkusallthedewdropandthetearyouarebutafragmentofyourgiantselfamouththatseeksbreadandablindhandthatholdsthecupforathirstymouthifyouwouldrisebutacubitaboveraceandcountryandselfyouwouldindeedbecomegodlikeifiwereyouiwouldnotfindfaultwiththeseaatlowtideitisagoodshipandourcaptainisableitisonlyyourstomachthatisindisordershouldyousituponacloudyouwouldnotseetheboundarylinebetweenonecountryandanothernortheboundarystonebetweenafarmandafarmitisapityyoucannotsituponacloudsevencenturiesagosevenwhitedovesrosefromadeepvalleyflyingtothesnowwhitesummitofthemountainoneofthesevenmenwhowatchedtheflightsaidiseeablackspotonthewingoftheseventhdovetodaythepeopleinthatvalleytellofsevenblackdoveswhoflewtothesummitofthesnowymountainintheautumnigatheredallmysorrowsandburiedtheminmygardenandwhenaprilreturnedandspringcametowedtheearththeregrewinmygardenbeautifulflowersunlikeallotherflowersandmyneighborscametobeholdthemandtheyallsaidtomewhenautumncomesagainatseedingtimewillyounotgiveusoftheseedsoftheseflowersthatwemayhavetheminourgardensitisindeedmiseryifistretchanemptyhandtomenandreceivenothingbutitishopelessnessifistretchafullhandandfindnonetoreceiveilongforeternitybecausethereishallmeetmyunwrittenpoemsandmyunpaintedpicturesartisastepfromnaturetowardtheinfiniteaworkofartisamistcarvedintoanimageeventhehandsthatmakecrownsofthornsarebetterthanidlehandsourmostsacredtearsneverseekoureyeseverymanisthedescendantofeverykingandeveryslavethateverlivedifthegreatgrandfatherofjesushadknownwhatwashiddenwithinhimwouldhenothavestoodinaweofhimselfwastheloveofjudasmotherofhersonlessthantheloveofmaryforjesustherearethreemiraclesofourbrotherjesusnotyetrecordedinthebookthefirstthathewasamanlikeyouandmethesecondthathehadasenseofhumourandthethirdthatheknewhewasaconquerorthoughconqueredcrucifiedoneyouarecrucifieduponmyheartandthenailsthatpierceyourhandspiercethewallsofmyheartandtomorrowwhenastrangerpassesbythisgolgothahewillnotknowthattwobledherehewilldeemitthebloodofonemanyoumayhaveheardoftheblessedmountainitisthehighestmountaininourworldshouldyoureachthesummityouwouldhaveonlyonedesireandthattodescendandbewiththosewhodwellinthedeepestvalleythatiswhyitiscalledtheblessedmountaineverythoughtihaveimprisonedinexpressionimustfreebymydeedsflagishelloxnucagoodluck'

alpha = 'abcdefghijklmnopqrstuvwxyz'
key_a = 
key_b = 
m = len(key_a)
n = len(key_b)
c = ''
for i in range(len(plain)):
    c += alpha[((ord(plain[i]) - ord('a')) * (ord(key_a[i % m]) - ord('a')) + ord(key_b[i % n]) - ord('a')) % 26]
print(c)

1、\(gcd(len(key_a), len(key_b)) > 1\)

以key_a = 'fuck'，key_b = 'ohshit'为例，Kasiski 实验结果如下： 网站爆破结果如下： 重合指数结果如下： 可以发现Kasiski 实验和重合指数给出的是最大公因数，而网站爆破给出的是最小公倍数 以长度为6爆破key，无法得到结果： 以最小公倍数为长度爆破key，得到结果： 除了第一位，其他都不对 可以认为，只有对key的长度的推断是可信

2、\(gcd(len(key_a), len(key_b)) = 1\)

以key_a = 'fuck'，key_b = 'wdnmd'为例，Kasiski 实验结果如下： 网站爆破结果如下： 重合指数结果如下： 可以发现Kasiski 实验和重合指数给出的是正确的key_b长度，而网站爆破给出的仍然是最小公倍数 但是以长度为5爆破key，无法得到结果： 以最小公倍数为长度爆破key，得到结果： 除了第一位，其他都不对 也可以认为，只有对key的长度的推断是可信

结语

虽然上述实验并不具有代表性，可能因为所选的key而导致结果的不可信；也可能是由于选用最小公倍数为key的长度导致密文被分割的段数减少，从而无法得到正确答案 不过让我掌握了对类似维吉尼亚密码加密的解法，还是有收获的 希望继续坚持