Enigma mashinasi - Enigma machine

1930 yillarning oxirlarida va urush paytida ishlatilgan "Enigma I" rusumli harbiy Enigma mashinasi; ko'rsatilgan Museo scienza e technologia Milano, Italiya

Harbiy Enigma mashinasi (yog'och qutida)

Enigma shifrlash mashinasi
Enigma mashinasi Enigma rotorlari Breaking Enigma Polsha shifrlash byurosi Ikki marta Panjara Soat Tsiklometr Bomba Zigalski choyshablari Bletchli bog'i Banburismus Herivel uchi Beshik Bomba 3-kulba Kulba 6 Hut 8 Shaxsiy kompyuter Bruno Cadix Ultra

The Enigma mashinasi bu shifrlash tijorat, diplomatik va harbiy aloqalarni himoya qilish uchun 20-asrning boshidan o'rtalariga qadar ishlab chiqilgan va ishlatilgan qurilma. Tomonidan keng qo'llanilgan Natsistlar Germaniyasi davomida Ikkinchi jahon urushi, nemis harbiy kuchlarining barcha tarmoqlarida.

Enigma elektromexanik xususiyatiga ega rotor mexanizmi alfavitning 26 harfini chalg'itadigan narsa. Oddiy foydalanishda bir kishi Enigma klaviaturasiga matn kiritadi, boshqasi esa har bir klaviatura bosilganda klaviatura ustidagi 26 chiroq qaysi biri yonishini yozadi. Agar oddiy matn kiritilsa, yoritilgan harflar kodlangan bo'ladi shifrlangan matn. Shifrlangan matnni kiritish uni yana o'qiladigan oddiy matnga aylantiradi. Rotor mexanizmi har bir tugmachani bosish bilan tugmachalar va chiroqlar orasidagi elektr aloqalarini o'zgartiradi. Tizimning xavfsizligi oldindan tarqatilgan maxfiy kalit ro'yxatlar asosida va har bir xabar uchun o'zgartirilgan boshqa sozlamalar asosida, odatda urush paytida har kuni o'zgartirilgan mashina sozlamalari to'plamiga bog'liq. Qabul qiluvchi stantsiya xabarning parolini muvaffaqiyatli hal qilish uchun uzatuvchi stantsiyada aniq sozlamalarni bilishi va ishlatishi kerak.

Germaniya yillar davomida Enigma-ga bir qator yaxshilanishlarni kiritgan bo'lsa va bu parolni echish harakatlarini har xil darajada to'sqinlik qilgan bo'lsa-da, ular oxir-oqibat Angliya va uning ittifoqchilarining urush paytida razvedkaning asosiy manbai sifatida Enigma-kodlangan xabarlardan foydalanishiga to'sqinlik qilmadi. Ko'plab sharhlovchilarning aytishicha Ultra aloqa razvedkasi Enigma parolini hal qilishdan Lorenz va boshqa shifrlar urushni sezilarli darajada qisqartirgan va hatto natijasini o'zgartirgan bo'lishi mumkin.^[1]

Tarix

Enigma mashinasi nemis muhandisi tomonidan ixtiro qilingan Artur Sherbius oxirida Birinchi jahon urushi.^[2] Artur Sherbius tomonidan asos solingan Germaniyaning Scherbius & Ritter firmasi 1918 yilda shifrlash mashinasi uchun g'oyalarni patentladi va tayyor mahsulotni savdo markasi ostida sotishni boshladi Jumboq 1923 yilda dastlab tijorat bozorlariga yo'naltirilgan.^[3] Dastlabki modellar 20-asrning 20-yillari boshidan tijorat maqsadlarida foydalanilgan va bir necha mamlakatlarning harbiy va hukumat xizmatlari tomonidan qabul qilingan Natsistlar Germaniyasi oldin va paytida Ikkinchi jahon urushi.^[4]

Bir necha xil Enigma modellari ishlab chiqarilgan, ammo Germaniya harbiylari modellari, ega bo'lgan plita, eng murakkab bo'lgan. Yaponiya va Italiya modellari ham ishlatilgan. 1926 yilda Germaniya dengiz kuchlari va Germaniya armiyasi va havo kuchlari tomonidan qabul qilingan (biroz o'zgartirilgan shaklda) nom Jumboq harbiy doiralarda keng tanilgan. Urushgacha Germaniya harbiy rejalashtirish tez, harakatchan kuchlar va taktikalarni ta'kidlab o'tdi, keyinchalik ular nomi bilan tanildi blitskrieg buyruq va muvofiqlashtirish uchun radio aloqasiga bog'liq. Raqiblar radio signallarini tutib olishlari mumkinligi sababli, xabarlar xavfsiz kodlash bilan himoyalangan bo'lishi kerak edi. Yilni va oson ko'chiriladigan Enigma mashinasi ushbu ehtiyojni qondirdi.

Breaking Enigma

Taxminan 1932 yil, Marian Rejewski, polshalik matematik va kriptanalizator da ishlayotganda Polsha shifrlash byurosi, plagin Enigma mashinasining xabar tugmachalarini sindirish uchun nemislarning harbiy xabarlarni shifrlash tartib-qoidalaridagi almashtirish va nuqsonlar nazariyasidan foydalangan. Rejevskiy bu natijaga mashinaning simlarini bilmasdan erishdi, shuning uchun natija polyaklarga haqiqiy xabarlarning parolini ochishga imkon bermadi. Frantsiya josusi Xans-Tilo Shmidt 1932 yil sentyabr va oktyabr oylarida ishlatilgan kunlik kalitlarni o'z ichiga olgan nemis shifr materiallariga kirish huquqini qo'lga kiritdi. Frantsuzlar materialni polyaklarga etkazishdi va Rejewski noma'lum rotorli simlarni hal qilish uchun sentyabr va oktyabr oylarida ushbu materialdan va xabarlar trafigidan foydalangan. Binobarin, polshalik matematiklar o'zlarining Enigma mashinalarini yaratishga muvaffaq bo'lishdi Enigma ikki baravar ko'payadi. Rejevskiyga kriptanalitiklar yordam berishdi Jerzy Rżycki va Genrix Zigalski, ikkalasi ham Rejevskiy bilan yollangan Pozna universiteti. Polsha shifrlash byurosi plakatni yengish va kunlik kalitning barcha tarkibiy qismlarini topish texnikasini ishlab chiqdi, bu 1933 yil yanvaridan boshlab shifrlash byurosiga nemis Enigma xabarlarini o'qish imkoniyatini berdi. Vaqt o'tishi bilan nemis kriptografik protseduralari yaxshilandi va shifrlash byurosi texnikalarni ishlab chiqdi va Enigma trafigini o'qishni davom ettirish uchun mo'ljallangan mexanik qurilmalar. Ushbu sa'y-harakatlar doirasida polyaklar rotorlarning g'ayrioddiy ekspluatatsiyasidan foydalangan, kataloglarni tuzgan va qurgan tsiklometr ixtiro qilingan va ishlab chiqarilgan 100000 ta yozuv bilan katalog tuzishda yordam berish Zigalski choyshablari va elektromekanik kriptologik qurilgan bomba rotor sozlamalarini qidirish uchun. 1938 yilda nemislar Enigma mashinalariga murakkablik qo'shdilar, natijada polshaliklar qarshi turish uchun juda qimmatga tushdilar. Polshaliklarning oltitasi bor edi bomba (ko'plik bomba), ammo nemislar yana ikkita rotor qo'shganda, o'n baravar ko'p bomba keyin kerak edi, va polyaklar resurslarga ega emas edilar.^[5]

1939 yil 26 va 27 iyulda,^[6] yilda Piriy yaqin Varshava, polyaklar frantsuz va inglizlarni boshladilar harbiy razvedka ularning tarkibiga vakillar Parolni ochish texnikasi va uskunalar, shu jumladan Zigalski choyshablari va kriptologik bomba va har bir delegatsiyaga Polshada qayta tiklangan Enigma-ni va'da qildi. Namoyish keyinchalik Britaniyaning davom etishi va sa'y-harakatlari uchun muhim asos bo'ldi.

1939 yil sentyabrda tarkibiga Buyuk Britaniyaning 4-harbiy missiyasi Colin Gubbins va Vera Atkins, kod buzuvchilarni evakuatsiya qilish uchun Polshaga bordi Gvido Langer, Marian Rejewski, Jerzy Rżycki va Genrix Zigalski ularning nusxasi Enigma mashinalari bilan mamlakatdan. Polshaliklar chegara orqali Atkinsning tug'ilgan Ruminiyasiga, o'sha paytda ularning ba'zilari internirlangan neytral mamlakatga olib ketilgan. Atkins ularni ozod qilish va keyinchalik G'arbiy Evropaga sayohat qilishni tashkil qildi, ular o'sha paytda hali ham nemis xabarlarini parolini hal qila olmagan frantsuzlar va inglizlarga maslahat berishdi.^[7]

Gordon Welchman, kim boshlig'i bo'ldi Kulba 6 Bletchley Parkda shunday deb yozgan edi: "Hut 6 Ultra agar biz vaqt o'tishi bilan polyaklardan tijorat Enigma mashinasining nemis harbiy versiyasi va ishlatilayotgan operatsion protseduralari haqida batafsil ma'lumotga ega bo'lmasak, hech qachon erdan tushmagan bo'lar edi. "^[8]

Urush paytida ingliz kriptologlari Enigma-da shifrlangan ko'plab xabarlarning parolini ochdilar. Maxfiy ma'lumot ushbu manbadan olingan, kod nomi bilan "Ultra "inglizlar tomonidan katta yordam bo'ldi Ittifoqdosh urush harakati.^[9]

Enigma-ning ba'zi bir kriptografik zaif tomonlari bo'lgan bo'lsa-da, amalda bu nemislarning protsessual kamchiliklari, operator xatolari, shifrlash tartib-qoidalariga o'zgartirishlar kiritilmasligi va urush paytida ittifoqdosh kriptologlarning muvaffaqiyatga erishishiga imkon bergan va asosiy jadvallarni va texnik vositalarni Ittifoq tomonidan qo'lga kiritilishi edi. oqim "ittifoqchilar foydasiga.^[10][11]

Dizayn

Amaldagi jumboq, 1943 yil

Boshqa rotorli mashinalar singari, Enigma mashinasi ham mexanik va elektr quyi tizimlarning kombinatsiyasidir. Mexanik quyi tizim a dan iborat klaviatura; deb nomlangan aylanadigan disklar to'plami rotorlar a bo'ylab ulashgan holda joylashtirilgan mil; har bir tugmachani bosish bilan kamida bitta rotorni va har bir harf uchun bitta lampani burish uchun turli xil qadam qismlaridan biri.

Elektr yo'li

Strelka va 1 dan 9 gacha bo'lgan raqamlar yordamida sirli ulanish diagrammasi oqimning asosiy tushkunlikdan chiroq yonib ketishiga qadar qanday o'tishini ko'rsatib beradi. The A tugmachasi kodlangan D. chiroq. D A hosil qiladi, lekin A hech qachon A hosil qilmaydi; bu xususiyat Enigmalarga xos bo'lgan patentlangan xususiyat tufayli yuzaga kelgan va ba'zi holatlarda kriptanalizatorlar foydalanishi mumkin edi.

Mexanik qismlar o'zgaruvchan hosil qilish orqali harakat qiladi elektr davri. Kalit bosilganda milda bir yoki bir nechta rotor aylanadi. Rotorlarning yon tomonlarida bir qator elektr kontaktlari mavjud, ular aylangandan so'ng, boshqa rotorlardagi kontaktlarga yoki milning har ikki uchida joylashgan simlarga to'g'ri keladi. Rotorlarni to'g'ri tekislanganda, klaviaturadagi har bir tugma kontaktlarning zanglashiga olib keladigan va ichki simlari orqali noyob elektr yo'liga ulanadi. Oqim, odatda batareyadan, bosilgan tugma orqali yangi tuzilgan sxemalar qatoriga oqib chiqadi va yana orqaga qaytadi, natijada bitta displey yonadi chiroq, bu chiqish harfini ko'rsatadi. Masalan, xabarni shifrlash paytida ANX ..., operator birinchi bo'lib bosadi A tugmachasi va Z chiroq yonishi mumkin, shuning uchun Z ning birinchi harfi bo'ladi shifrlangan matn. Operator keyingi tugmani bosadi N, undan keyin X xuddi shu uslubda va boshqalar.

Enigma rotorlarining harakatlantiruvchi harakati ketma-ket ikkita harf uchun ko'rsatilgan, o'ng rotor ular orasida bir pozitsiyani harakatga keltiradi.

Batareyadan (1) oqim tushgan ikki yo'nalishli klaviatura tugmasi (2) orqali vilkasidan ushlab (3) o'tadi. Keyinchalik, u uchta (Wehrmacht Enigma) yoki to'rtta simlarning simlari orqali (4) kirish g'ildiragi orqali (ushbu holatda foydalanilmayapti, shuning uchun yopiq ko'rsatilgan) "A" (3) vilkasi orqali o'tadi.Kriegsmarine M4 va Abver variantlar) o'rnatilgan rotorlar (5) va reflektorga (6) kiradi. Reflektor oqimni butunlay boshqacha yo'l bilan qaytarib, rotorlardan (5) va kirish g'ildiragidan (4) orqaga qaytarib, "D" vilkasini ulash uchun simi (8) bilan ulangan "S" (7) vilkasi orqali davom etadi va boshqasi tegishli chiroqni yoqish uchun ikki tomonlama kalit (9).^[12]

Enigma scrambler orqali elektr yo'lining takroriy o'zgarishi a polyalphabetic substitute shifr bu Enigma xavfsizligini ta'minlaydi. O'ngdagi diagrammada har bir asosiy tushkunlik bilan elektr yo'lining qanday o'zgarishi ko'rsatilgan, bu esa kamida o'ng rotorning aylanishiga olib keladi. Oqim rotorlar to'plamiga, reflektorga va orqaga qaytadi va rotorlar orqali yana chiqadi. Kulrang chiziqlar har bir rotor ichidagi boshqa mumkin bo'lgan yo'llar; bu har bir rotorning bir tomonidan ikkinchisiga qattiq simli. Xat A ketma-ket tugmachalarni bosish bilan boshqacha shifrlaydi, birinchi navbatda G, keyin esa C. Buning sababi shundaki, har bir tugmachani bosish paytida o'ng tomondagi rotor qadamlari (bitta pozitsiyani aylantiradi), signalni butunlay boshqa yo'nalishda yuboradi. Oxir-oqibat boshqa rotorlar tugmachani bosish bilan qadam bosishadi.

Rotorlar

Enigma rotorlarini yig'ish. Wehrmacht Enigma-da uchta o'rnatilgan harakatlanuvchi rotor ikkita sobit g'ildirak o'rtasida joylashgan: kirish g'ildiragi, o'ng tomonda va reflektor chap tomonda.

Rotorlar (muqobil ravishda g'ildiraklar yoki barabanlar, Valsen nemis tilida) Enigma mashinasining yuragini tashkil qiladi. Har bir rotor diametri taxminan 10 sm (3,9 dyuym) bo'lgan diskdir Ebonit yoki Bakalit 26 bilan guruch, kamonli, elektr aloqasi pinlar bir yuzga aylana shaklida joylashtirilgan, boshqa yuz korpusi 26 mos keladi elektr kontaktlari dumaloq plitalar shaklida Pins va kontaktlar alifbo - odatda ushbu tavsifning qolgan qismida taxmin qilinadigan 26 ta A-Z harflari. Rotorlar shpindelga yonma-yon o'rnatilganda, bitta rotorning pimlari qo'shni rotorning plastinka kontaktlariga suyanib, elektr aloqasini hosil qiladi. Rotor korpusi ichida 26 ta sim har bir pimni bir tomondan, ikkinchisidan kontaktga murakkab shaklda ulaydi. Rotorlarning aksariyati rim raqamlari bilan aniqlanadi va I rotorining har bir nusxasi, masalan, boshqalarga bir xil tarzda ulanadi. Xuddi shu narsa M4 dengiz variantida ishlatiladigan maxsus nozik beta va gamma rotorlar uchun ham amal qiladi.

Ishlatilayotganda uchta Enigma rotorlari va o'qi.

O'z-o'zidan, rotor faqat juda oddiy turini bajaradi shifrlash, oddiy almashtirish shifri. Masalan, harfga mos keladigan pin E xat uchun kontaktga ulangan bo'lishi mumkin T qarama-qarshi yuzda va boshqalar. Enigma xavfsizligi bir nechta rotorlarni ketma-ket (odatda uch yoki to'rtta) ishlatilishidan va rotorlarning muntazam qadam harakatlaridan kelib chiqadi va shu bilan polifalitik almashtirish shifrini amalga oshiradi.

Har bir rotor Enigma mashinasiga joylashtirilganda 26 mumkin bo'lgan boshlang'ich pozitsiyalaridan biriga o'rnatilishi mumkin. Joylashtirilgandan so'ng, yopiq holda ichki Enigma qopqog'idan chiqib ketadigan yivli barmoq-g'ildirak yordamida rotorni qo'l bilan to'g'ri holatga qaytarish mumkin. Operator rotorning holatini bilishi uchun ularning har birida alifbo shinasi (yoki harfli uzuk) rotorli diskning tashqi tomoniga biriktirilgan bo'lib, 26 ta belgidan iborat (odatda harflar); ulardan bittasi derazadan qopqoqdagi o'sha teshikka ko'rinadi va shu bilan rotorning aylanish holatini ko'rsatadi. Dastlabki modellarda alfavit rishtasi rotorli diskka o'rnatildi. Keyinchalik takomillashtirish rotor diskiga nisbatan alifbo rishtasini sozlash qobiliyati edi. Ringning holati sifatida tanilgan Ringstellung ("qo'ng'iroq sozlamalari") va ushbu sozlama operatsion seansidan oldin zarur bo'lgan dastlabki sozlamalarning bir qismi edi. Zamonaviy so'zlar bilan aytganda, bu boshlash vektori.

Elektr kontaktlarini ko'rsatuvchi ikkita Enigma rotorlari (chapda) va tirqishlarni (qarama-qarshi o'ng rotorda) D.).

Har bir rotorda rotor qadamini boshqaradigan bir yoki bir nechta chiviqlar mavjud. Harbiy variantlarda chiziqlar alifbo rishtasida joylashgan.

Armiya va Havo kuchlari jumboqlari dastlab uchta, bir nechta rotor bilan ishlatilgan. 1938 yil 15-dekabrda bu beshtaga o'zgarib, ulardan uchta sessiya uchun tanlangan. Rotorlar bilan belgilangan Rim raqamlari ularni ajratish uchun: I, II, III, IV va V, barchasi bitta alfavit halqasining turli nuqtalarida joylashgan bitta chiziqli. Ushbu o'zgarish, ehtimol xavfsizlik chorasi sifatida mo'ljallangan edi, ammo oxir-oqibat polshalikka imkon berdi Soat usuli va inglizlar Banburismus hujumlar.

Ning dengiz versiyasi Vermaxt Enigma har doim boshqa xizmatlarga qaraganda ko'proq rotor bilan chiqarilgan edi: Dastlab oltita, keyin ettita va nihoyat sakkizta. Qo'shimcha rotorlar VI, VII va VIII bilan belgilanib, ularning barchasi turli xil simlar bilan ulangan va ikkita pog'onaga ega bo'lgan, natijada aylanish tez-tez sodir bo'lgan. To'rt rotorli Naval Enigma (M4) mashinasi qo'shimcha rotorni uchta rotorli versiyasi bilan bir xil joyda joylashtirdi. Bu asl reflektorni ingichka bilan almashtirish va ingichka to'rtinchi rotorni qo'shish orqali amalga oshirildi. Ushbu to'rtinchi rotor ikki turdan biri edi, Beta yoki Gamma, va hech qachon qadam tashlamagan, lekin 26 pozitsiyadan biriga qo'lda o'rnatilishi mumkin. 26-dan biri mashinani uchta rotorli mashinaga bir xil ishlashga majbur qildi.

Qadam

Oddiy (echiladigan) almashtirish shifrini amalga oshirmaslik uchun har bir bosish bir yoki bir nechta rotorni elektr ulanishidan oldin to'liq aylanishning yigirma oltidan biriga qadam qo'yishiga olib keldi. Bu shifrlash uchun ishlatiladigan almashtirish alifbosini o'zgartirib, har bir yangi rotor holatida kriptografik almashtirishning turlicha bo'lishini ta'minlab, yanada dahshatli polialfabetik almashtirish shifrini ishlab chiqardi. Bosqich mexanizmi har bir modeldan bir oz farq qildi. Har bir tugmachani bosish bilan o'ng tomondagi rotor bir marta qadam tashladi va boshqa rotorlar kamroq qadam bosdi.

Tovar aylanishi

Operatordan chetga qarab Enigma qadam harakati. Kalit tushkunlikka tushganligi sababli, uchta tirnoq panjasi (yashil) bir ovozdan itarishadi. Operatorga o'ng tomondagi rotor bo'lgan birinchi rotor (1) uchun ratshet (qizil) har doim ulanadi va har bir bosish bilan qadam bosadi. Bu erda o'rta rotor (2) ulangan, chunki birinchi rotordagi tirqish panjaga to'g'ri keladi; u qadam bosadi (ag'darish) birinchi rotor bilan. Uchinchi rotor (3) ulanmagan, chunki ikkinchi rotor ichidagi tirgak panjaga to'g'ri kelmagan, shuning uchun u raketaga qo'shilmaydi.

Rotorning chap qo'ldan tashqari oldinga siljishi a deb nomlandi tovar aylanmasi inglizlar tomonidan. Bunga a kalamush va panja mexanizm. Har bir rotorda 26 tishi bo'lgan tirnoq bor edi va har bir tugmachani bosganda prujinali panjalar to'plami birlashib oldinga siljish bilan harakat qilar edi. Rotorning o'ng tomonidagi alfavit halqasi odatda bunga to'sqinlik qiladi. Ushbu halqa o'z rotori bilan aylanayotganda, unga ishlov berilgan tirqish oxir-oqibat panjara bilan tenglashib, unga ratshet bilan bog'lanishiga imkon beradi va rotorni chap tomonga ilgarilaydi. Rotorsiz va o'ng tomonidagi halqaga ega bo'lmagan o'ng qo'l panjarasi har bir tushkunlikda rotorini bosib o'tdi.^[13] O'ng qo'l holatidagi bitta pog'onali rotor uchun o'rta rotor o'ng rotorning har 26 qadamida bir marta qadam tashladi. Xuddi shunday, ikkita va uchta rotorlar uchun. Ikki pog'onali rotor uchun chap tomonidagi rotor har bir aylanish uchun ikki marta aylanadi.

Birinchi kiritilgan beshta rotor (I-V) har birida bitta pog'onadan iborat edi, qo'shimcha VI, VII va VIII dengiz rotorlari esa ikkita pog'onaga ega edi. Har bir rotordagi tirqish holati o'zaro bog'lanishni o'z ichiga olgan yadroga nisbatan sozlanishi mumkin bo'lgan harf halqasi bilan aniqlandi. Keyingi g'ildirakning harakatlanishiga sabab bo'lgan halqalardagi nuqtalar quyidagicha edi.^[14]

Dizayn shuningdek ma'lum bo'lgan xususiyatni o'z ichiga olgan ikki qadam. Bu har bir panjara o'z rotorining tirgakchasiga va qo'shni rotorning aylanadigan tirnoqli halqasiga to'g'ri kelganda sodir bo'ldi. Agar panjada tirnoq bilan tekislanganda, u oldinga siljiganida, ikkala rotorni ham oldinga siljitib, ikkala tirgakka va tirqishga itarib qo'ydi. Uchta rotorli mashinada ikki bosqichli ta'sir faqat ikkita rotorga ta'sir qiladi. Agar oldinga siljish paytida rotor uchining tirgovichi ulangan bo'lsa, rotor ikkitasi keyingi tugmachani bosishda yana harakatlanib, natijada ketma-ket ikki qadam bo'ladi. Ikkala rotor ham 26 qadamdan keyin rotorni oldinga siljitadi, ammo har bir klaviatura zarbasi bilan rotor bitta oldinga siljiganligi sababli, ikki pog'onali qadam bo'lmaydi.^[13] Ushbu ikki bosqichli qadam rotorlarning chetlanishiga sabab bo'ldi odometr - uslubning muntazam harakati.

Uchta g'ildirak va birinchi va ikkinchi g'ildiraklardagi faqat bitta tirqish bilan, mashina 26 × 25 × 26 = 16,900 (ikki qadam bosish sababli 26 × 26 × 26 emas) davrga ega edi.^[13] Tarixiy ma'noda xabarlar bir necha yuz harflar bilan cheklangan va shuning uchun bitta seans davomida birlashtirilgan rotor holatini takrorlash va kriptanalizatorlarning qimmatli ma'lumotlarini inkor etish imkoniyati bo'lmagan.

Dengiz kuchlarining to'rtinchi rotorlari uchun joy ajratish uchun reflektor ancha yupqaroq qilingan. Bo'sh joyga o'rnatilgan to'rtinchi rotor. O'zgarishlarni engillashtiradigan boshqa hech qanday o'zgartirishlar kiritilmagan. Faqat uchta panjasi bo'lganligi sababli, to'rtinchi rotor hech qachon qadam tashlamagan, aksincha qo'lda 26 mumkin bo'lgan pozitsiyalardan biriga o'rnatilishi mumkin.

Ishlab chiqilgan, ammo urush tugamaguncha amalga oshirilmagan qurilma Lyukenfyullervalze tartibsiz qadam qo'yishni amalga oshirgan (bo'shliqni to'ldiruvchi g'ildirak). Bu barcha 26 pozitsiyalarda chuqurchalarni dala konfiguratsiyasiga imkon berdi. Agar chiziqlar soni a bo'lsa nisbiy tub ning 26 va har bir g'ildirak uchun çentiklerin soni har xil edi, qadam yanada oldindan aytib bo'lmaydi. Umkehrwalze-D singari, u ham ichki simlarni qayta sozlashga imkon berdi.^[15]

Kirish g'ildiragi

Joriy kirish g'ildiragi (Eintrittsvalze yoki nemis tilida) stator, bog'laydi plita rotor yig'ilishiga. Agar plita mavjud bo'lmasa, kirish g'ildiragi o'rniga klaviatura va chiroq taxtasini rotor moslamasiga ulaydi. Amaldagi simlarning xavfsizligi uchun unchalik katta ahamiyatga ega bo'lmasa-da, u Rejevskiyning rotorli simlarni o'rganishi davomida uning rivojlanishiga to'siq bo'lganligini isbotladi. Tijorat Enigma tugmachalarni ularning ketma-ketligi tartibida a ga bog'laydi QWERTZ klaviatura: Q→A, V→B, E→C va hokazo. Harbiy Enigma ularni to'g'ri alifbo tartibida birlashtiradi: A→A, B→B, C→C, va hokazo. Rejevskiyning modifikatsiyadan o'tishi uchun ilhomlangan taxminlar kerak edi.

Reflektor

B tipidagi reflektor va rotor stakasini ko'rsatadigan Enigma mashinasining ichki mexanizmi.

Modellar bundan mustasno A va B, so'nggi rotor "reflektor" oldiga keldi (nemischa: Umkehrvalze, "teskari rotor" degan ma'noni anglatadi), davrning turli xil rotor mashinalari orasida Enigma-ga xos bo'lgan patentlangan xususiyat. Reflektor oxirgi rotorning chiqishlarini juft-juft qilib bog'lab, oqimni rotorlar orqali boshqa yo'nalish bo'yicha qaytarib yubordi. Reflektor Enigma bo'lishini ta'minladi o'zaro o'zaro; Shunday qilib, ikkita bir xil konfiguratsiya qilingan mashinalar yordamida xabar birida shifrlanishi va ikkinchisida shifrlangan bo'lishi mumkin, bu esa shifrlash va parol hal qilish rejimlari o'rtasida katta hajmli mexanizmga o'tishga hojat qoldirmasdan. Reflektor ixcham dizaynga yo'l qo'ydi, ammo u Enigma-ga hech qachon hech qanday harf o'zi shifrlamagan xususiyat berdi. Bu keyinchalik kodni buzuvchilar tomonidan ishlatilgan jiddiy kriptologik nuqson edi.

Model "S" da reflektorni ikki xil pozitsiyadan biriga qo'yish mumkin. "D" modelida reflektor 26 mumkin bo'lgan holatga o'rnatilishi mumkin, garchi u shifrlash paytida harakatlanmasa. In Abver Enigma, reflektor boshqa g'ildiraklarga o'xshash tarzda shifrlash paytida qadam qo'ydi.

Germaniya armiyasi va havo kuchlari Enigmasida reflektor aniqlangan va aylanmagan; to'rtta versiya mavjud edi. Asl nusxada 'A' belgisi qo'yilgan va o'rniga almashtirilgan Umkehrvalze B 1937 yil 1-noyabrda. Uchinchi versiyasi, Umkehrvalze 1940 yilda qisqacha ishlatilgan, ehtimol xatoga yo'l qo'yilgan va uni hal qilgan Kulba 6.^[16] Birinchi marta 1944 yil 2-yanvarda kuzatilgan to'rtinchi versiyada rewireable reflektor bor edi Umkehrvalze D, Engma operatoriga kalit sozlamalarining bir qismi sifatida ulanishlarni o'zgartirishga imkon beradigan inglizlar tomonidan Dik amaki deb nomlangan.

Plugboard

Plitka (Stekkerbrett) mashinaning old qismida, tugmalar ostida joylashgan edi. Ikkinchi Jahon urushi paytida foydalanishda o'nta aloqa mavjud edi. Ushbu fotosuratda faqat ikkita juft harflar almashtirilgan (A↔J va S↔O).

Plitka (Stekkerbrett operator tomonidan qayta sozlanishi mumkin bo'lgan o'zgaruvchan simlarga ruxsat berildi (1-rasmning old panelida ko'rinadi; ba'zi yamoq simlari qopqoqda ko'rinadi). U 1930 yilda Germaniya armiyasining versiyalariga kiritilgan va tez orada Reyxmarin (Germaniya dengiz kuchlari). Plastinka qo'shimcha rotorga qaraganda ko'proq kriptografik quvvatga ega bo'ldi. Plitasiz Enigma (ma'lum to'siqsiz Enigma) qo'l usullari yordamida nisbatan sodda tarzda echilishi mumkin edi; ushbu texnikalar odatda plakat tomonidan mag'lubiyatga uchradi va ittifoqdosh kriptanalizatorlarni uni echish uchun maxsus mashinalarni ishlab chiqarishga undadi.

Plitkaga ulangan harflar juft bo'lib bog'langan harflar; masalan, E va Q to'siqli juftlik bo'lishi mumkin. Ta'siri ushbu harflarni asosiy rotorli skrining birligidan oldin va keyin almashtirish edi. Masalan, operator bosganda E, signal yo'naltirildi Q rotorlarga kirishdan oldin. Bir vaqtning o'zida 13 tagacha juft juftlardan foydalanish mumkin, garchi odatda atigi 10 tasi ishlatilgan.

Klaviaturadan tok platadan o'tib, kirish-rotorga o'tdi yoki Eintrittsvalze. Plitadagi har bir harfda ikkita raz'em bor edi. Tarmoq vilkasini kiritish ushbu harfning yuqori jakini (klaviaturadan) va pastki jakni (kirish rotoriga) uzib qo'ydi. O'zaro bog'langan kabelning boshqa uchidagi vilka boshqa harflarning uyalariga joylashtirildi, shu bilan ikkala harflarning ulanish joylari almashtirildi.

Aksessuarlar

The Schreibmax yorug'lik panelida ko'rsatilgan harflarni zahmat bilan yozib olish zaruratini yo'qotib, Enigma-ga biriktirilishi mumkin bo'lgan bosib chiqarish bo'limi edi.

Boshqa xususiyatlar turli xil Enigma mashinalarini xavfsizroq yoki qulayroq qildi.^[17]

Schreibmax

Ba'zi M4 Enigmas ishlatilgan Schreibmax, kichik printer 26 ta harfni tor qog'ozli lentaga bosib chiqarishi mumkin edi. Bu lampalarni o'qish va harflarni yozish uchun ikkinchi operatorga bo'lgan ehtiyojni yo'q qildi. The Schreibmax Enigma mashinasining tepasiga joylashtirilgan va chiroq paneliga ulangan. Printerni o'rnatish uchun chiroq qopqog'ini va lampochkalarni olib tashlash kerak edi. Bu qulaylik va operatsion xavfsizlikni yaxshiladi; printerni masofadan turib o'rnatish mumkin edi, shunda endi mashinada ishlaydigan signal xodimi shifrlangan kodni ko'rmasligi kerak edi Oddiy matn.

Fernlesegerät

Boshqa aksessuar uzoqdan chiroq paneli edi Fernlesegerät. Qo'shimcha panel bilan jihozlangan mashinalar uchun Enigma yog'och korpusi kengroq bo'lib, qo'shimcha panelni saqlashi mumkin edi. Keyinchalik lampalar paneli versiyasini ulash mumkin, ammo bunda bo'lgani kabi, bu ham talab qilinadi Schreibmax, chiroq paneli va lampochkalarni olib tashlash.^[12] Masofaviy panel odamga shifrlangan oddiy matnni operator ko'rmasdan o'qish imkoniyatini yaratdi.

Uhr

Enigma Uhr qo'shimchasi

1944 yilda Luftwaffe deb nomlangan plata tugmachasini taqdim etdi Uhr (soat), 40 ta o'ringa ega kalitni o'z ichiga olgan kichik quti. U standart vilkalarni almashtirdi. Kundalik kalit varaqda belgilab qo'yilganidek, vilkalarni ulab bo'lgandan so'ng, operator kalitni 40 ta pozitsiyadan biriga aylantirdi, ularning har biri har xil vilkasini simlarini birlashtirdi. Ushbu vilka ulanishlarining aksariyati, odatiy vilkalardan farqli o'laroq, juftlik nuqtai nazaridan emas edi.^[12] Bitta kalit holatida Uhr harflarni almashtirmadi, lekin shunchaki vilkalar bilan 13 ta simni taqlid qildi.

Matematik tahlil

Har bir harf uchun Enigma konvertatsiyasi matematik tarzda hosilasi sifatida ko'rsatilishi mumkin almashtirishlar.^[18] Uch rotorli nemis armiyasi / havo kuchlari Enigma deb taxmin qilaylik P Plitalar transformatsiyasini bildiring, U reflektorni bildiradi va L, M, R navbati bilan chap, o'rta va o'ng rotorlarni belgilang. Keyin shifrlash E sifatida ifodalanishi mumkin

${displaystyle E = PRMLUL ^ {- 1} M ^ {- 1} R ^ {- 1} P ^ {- 1}.}$

Har bir tugmachani bosgandan so'ng, rotorlar burilib, o'zgarishni o'zgartiradi. Masalan, agar o'ng rotor bo'lsa R aylantiriladi n pozitsiyalarni o'zgartiradi

${displaystyle ho ^ {n} Rho ^ {- n},}$

qayerda r bo'ladi tsiklik almashtirish A dan B, B dan C gacha va boshqalarni xaritalash. Xuddi shu tarzda, o'rta va chap rotorlar quyidagicha ifodalanishi mumkin j va k ning aylanishi M va L. Shunda shifrlash transformatsiyasini quyidagicha ta'riflash mumkin

${displaystyle E = Pleft (ho ^ {n} Rho ^ {- n} ight) left (ho ^ {j} Mho ^ {- j} ight) left (ho ^ {k} Lho ^ {- k} ight) Uleft (ho ^ {k} L ^ {- 1} ho ^ {- k} ight) chap (ho ^ {j} M ^ {- 1} ho ^ {- j} ight) chap (ho ^ {n} R ^ {-1} ho ^ {- n} kech) P ^ {- 1}.}$

Harbiy Enigma 158,962,555,217,826,360,000 xil sozlamalariga ega (taxminan 159), beshta to'plamdan uchta rotorni, har biri 3 ta rotor sozlamasini 26 ta pozitsiyani va o'nta juft harf bilan ulangan plashni birlashtirgan. kvintillion yoki taxminan 67 bitlar ).^[19]

E'tibor bering (5x4x3) x (26 ^ 3) x [26! / (6! X 10! X 2 ^ 10)] = 158,962,555,217,826,360,000 ≈ 2^67.1

Ishlash

Asosiy operatsiya

Media-ni ijro etish

Enigma mashinasi yordamida shifrlash va ochish

Nemis Enigma operatoriga shifrlash uchun oddiy matnli xabar beriladi. Mashinasini o'rnatgandan so'ng, u Enigma klaviaturasida xabarni teradi. Har bir bosilgan harf uchun bitta chiroq yonib, a harfiga binoan boshqa harfni bildiradi psevdo-tasodifiy mashina ichidagi elektr yo'llari bilan belgilanadigan almashtirish. Chiroq bilan ko'rsatilgan xat, odatda, ikkinchi operator tomonidan yoziladi shifrlangan matn xat. Tugmani bosish harakati bir yoki bir nechta rotorlarni harakatga keltirdi, shunda keyingi bosish boshqa elektr yo'lidan foydalanadi va shu bilan yana bir xil tekis matnli harf kiritilsa ham, boshqa almashtirish amalga oshiriladi. Har bir tugmachani bosish uchun hech bo'lmaganda o'ng qo'lning rotorini va kamroq tez-tez qolgan ikkitasini aylantirish kerak edi, natijada boshqacha bo'ladi almashtirish alifbosi xabarning har bir harfi uchun ishlatilmoqda. Ushbu jarayon xabar tugamaguncha davom etdi. Keyinchalik ikkinchi operator tomonidan yozib olingan shifrlangan matn odatda radio orqali uzatiladi Mors kodi, boshqa Enigma mashinasining operatoriga. Ushbu operator shifrlangan matnni teradi va agar shifrni ochish mashinasining barcha sozlamalari shifrlash moslamasi bilan bir xil bo'lsa - har bir bosish uchun teskari almashtirish sodir bo'ladi va ochiq matnli xabar paydo bo'ladi.

Tafsilotlar

Nemis Kenngruppenheft (U-qayiq) kod kitobi guruhlangan kalit kodlari bilan).

Germaniya havo kuchlari Enigma uchun 649 oylik kalit ro'yxat, shu jumladan qayta tiklanadigan reflektor parametrlari (har sakkiz kunda bir marta o'zgaradi).

Amaliyotda Enigma kunlik kalit sozlamalari va yordamchi hujjatlar ro'yxatini talab qildi. Nemis harbiy amaliyotida aloqa alohida tarmoqlarga bo'linib, ularning har biri har xil sozlamalar yordamida amalga oshirildi. Ushbu aloqa tarmoqlari nomini oldi kalitlar da Bletchli bog'i va tayinlandi kod nomlari, kabi Qizil, Chaffinchva Nahang. Tarmoqda ishlaydigan har bir birlik uchun Enigma uchun bir xil sozlamalar ro'yxati berilgan, ular bir muddat amal qilishadi. Germaniya harbiy-dengiz jumboqining protseduralari boshqa xizmatlarga qaraganda ancha puxta va xavfsizroq bo'lgan va yordamchi ish bilan ta'minlangan kod daftarlari. Dengiz kodlari kitoblari qizil, suvda eriydigan siyoh bilan pushti qog'ozga bosilib, ular xavf ostida bo'lgan taqdirda yoki idish cho'kib ketgan taqdirda ularni osonlikcha yo'q qilishlari mumkin edi.

Enigma mashinasining sozlamalari (uning kriptografik kalit zamonaviy ma'noda; Shlyussel (nemis tilida) mashinaning har bir operator tomonidan sozlanishi jihatlarini ko'rsatdi:

• G'ildirak buyurtmasi (Valsenlaj) - rotorlarni tanlash va ularni o'rnatish tartibi.
• Qo'ng'iroq sozlamalari (Ringstellung) - har bir alfavit halqasining uning rotor simlariga nisbatan joylashishi.
• Plug ulanishlari (Steckerverbindungen) - bir-biriga ulangan plafonddagi juft harflar.
• Juda kech versiyalarda, qayta tiklanadigan reflektorning simlari.
• Rotorlarning boshlang'ich holati (Grundstellung) - operator tomonidan tanlangan, har bir xabar uchun har xil bo'lishi kerak.

Xabarni to'g'ri shifrlash va parolini hal qilish uchun jo'natuvchi ham, qabul qiluvchi ham o'zlarining Enigma-ni xuddi shunday sozlashi kerak edi; rotorni tanlash va tartib, halqa pozitsiyalari, plagin ulanishlari va boshlang'ich rotor holatlari bir xil bo'lishi kerak. Dastlabki pozitsiyalardan tashqari, ushbu sozlamalar oldindan tuzilgan, asosiy ro'yxatlarda tarqatilgan va har kuni o'zgartirilgan. Masalan, 649-raqamli nemis Luftwaffe Enigma kalit ro'yxatidagi oyning 18-kuni uchun sozlamalar (rasmga qarang) quyidagicha edi:

• G'ildirak tartibi: IV, II, V
• Qo'ng'iroq sozlamalari: 15, 23, 26
• Plugboard ulanishlari: EJ OY IV AQ KW FX MT PS LU BD
• Qayta sozlanadigan reflektorli simlar: IU AS DV GL FT OX EZ CH MR KN BQ PW
• Ko'rsatkich guruhlari: lsa zbw vcj rxn

Enigma, agar rotor simlari raqibga ma'lum bo'lsa ham, xavfsiz bo'lishi uchun ishlab chiqilgan, garchi amalda juda ko'p harakatlar simlarning konfiguratsiyasini himoya qilgan. Agar elektr uzatish sir bo'lsa, unda mumkin bo'lgan konfiguratsiyalarning umumiy soni hisoblab chiqilgan 3×10¹¹⁴ (taxminan 380 bit); ma'lum bo'lgan elektr uzatish va boshqa operatsion cheklovlar bilan, bu atrofga kamayadi 10²³ (76 bit).^[20] Ko'p sonli imkoniyatlar tufayli Enigma foydalanuvchilari uning xavfsizligiga ishonishgan; o'shanda dushman hatto a ni sinab ko'rishni boshlashi mumkin emas edi qo'pol hujum.

Ko'rsatkich

Kalitning ko'p qismi belgilangan vaqt davomida, odatda bir kun davomida doimiy ravishda saqlanib turardi. Har bir xabar uchun har xil boshlang'ich rotor pozitsiyasi ishlatilgan, an ga o'xshash tushunchalar boshlash vektori zamonaviy kriptografiyada. Sababi shundaki, ko'plab xabarlarni bir xil yoki deyarli bir xil sozlamalar bilan shifrlash (kriptanalizda shunday deb nomlanadi yilda chuqurlik ) kabi statistik protsedura yordamida hujumga imkon beradi Fridmanniki Tasodifiylik ko'rsatkichi.^[21] Rotorlarning boshlang'ich pozitsiyasi shifrlangan matndan oldin, odatda shifrlanganidan keyin uzatilgan. Amaldagi aniq usul "deb nomlangan ko'rsatkichlar tartibi. Ushbu indikator protseduralarida dizaynning zaifligi va operatorning sustligi Enigma-ni buzishga imkon beradigan asosiy zaif tomonlardan biri edi.

Shakl 2. Ichki qopqoq pastga tushganda Enigma foydalanishga tayyor edi. Rotorlarning barmoq g'ildiraklari qopqoq orqali chiqib, operatorga rotorlarni o'rnatishga imkon berdi va ularning hozirgi holati, bu erda RDKP, operatorga derazalar to'plami orqali ko'rinib turardi.

Eng qadimgi biri ko'rsatkich protseduralari chunki Enigma kriptografik jihatdan nuqsonli edi va Polsha kriptanalizatorlariga Enigma plakasida dastlabki tanaffuslarni amalga oshirishga imkon berdi. Ushbu protsedura operatorga o'z mashinasini tarmoqdagi barcha operatorlar baham ko'rgan maxfiy sozlamalarga muvofiq o'rnatdi. Sozlamalar rotorlar uchun dastlabki holatni o'z ichiga olgan ( Grundstellung), demoq, AOH. Operator rotorlarini shu paytgacha burdi AOH rotor oynalaridan ko'rinib turardi. O'sha paytda operator o'zi yuboradigan xabar uchun o'zboshimchalik bilan boshlang'ich pozitsiyasini tanladi. Operator tanlashi mumkin EINva bu bo'ldi xabarni sozlash ushbu shifrlash seansi uchun. Keyin operator yozdi EIN masalan, shifrlangan ko'rsatkichni ishlab chiqaradigan mashinaga ikki marta XHTLOA. Keyinchalik bu uzatildi, shu vaqtda operator rotorlarni o'z xabarlari sozlamalariga o'tkazadi, EIN ushbu misolda va keyin xabarning oddiy matnini kiriting.

Qabul qilish oxirida operator mashinani dastlabki sozlamalarga o'rnatdi (AOH) va xabarning birinchi olti harfida yozilgan (XHTLOA). Ushbu misolda, EINEIN lampalarda paydo bo'ldi, shuning uchun operator uni o'rganadi xabarni sozlash jo'natuvchi ushbu xabarni shifrlash uchun ishlatgan. Qabul qiluvchi operator o'z rotorlarini o'rnatadi EIN, shifrlangan matnning qolgan qismini yozing va shifrlangan xabarni oling.

Ushbu ko'rsatkich sxemasi ikkita zaif tomonga ega edi. First, the use of a global initial position (Grundstellung) meant all message keys used the same polyalphabetic substitution. In later indicator procedures, the operator selected his initial position for encrypting the indicator and sent that initial position in the clear. The second problem was the repetition of the indicator, which was a serious security flaw. The message setting was encoded twice, resulting in a relation between first and fourth, second and fifth, and third and sixth character. These security flaws enabled the Polish Cipher Bureau to break into the pre-war Enigma system as early as 1932. The early indicator procedure was subsequently described by German cryptanalysts as the "faulty indicator technique".^[22]

During World War II, codebooks were only used each day to set up the rotors, their ring settings and the plugboard. For each message, the operator selected a random start position, let's say WZA, and a random message key, perhaps SXT. He moved the rotors to the WZA start position and encoded the message key SXT. Assume the result was UHL. He then set up the message key, SXT, as the start position and encrypted the message. Next, he transmitted the start position, WZA, the encoded message key, UHL, and then the ciphertext. The receiver set up the start position according to the first trigram, WZA, and decoded the second trigram, UHL, to obtain the SXT message setting. Next, he used this SXT message setting as the start position to decrypt the message. This way, each ground setting was different and the new procedure avoided the security flaw of double encoded message settings.^[23]

This procedure was used by Vermaxt va Luftwaffe faqat. The Kriegsmarine procedures on sending messages with the Enigma were far more complex and elaborate. Prior to encryption the message was encoded using the Kurzsignalheft kod kitobi. The Kurzsignalheft contained tables to convert sentences into four-letter groups. A great many choices were included, for example, logistic matters such as refuelling and rendezvous with supply ships, positions and grid lists, harbour names, countries, weapons, weather conditions, enemy positions and ships, date and time tables. Another codebook contained the Kenngruppen va Spruchschlüssel: the key identification and message key.^[24]

Qo'shimcha ma'lumotlar

The Army Enigma machine used only the 26 alphabet characters. Punctuation was replaced with rare character combinations. A space was omitted or replaced with an X. The X was generally used as full-stop.

Some punctuation marks were different in other parts of the armed forces. The Vermaxt replaced a comma with ZZ and the question mark with FRAGE or FRAQ.

The Kriegsmarine replaced the comma with Y and the question mark with UD. The combination CH, as in "Acht" (eight) or "Richtung" (direction), was replaced with Q (AQT, RIQTUNG). Two, three and four zeros were replaced with CENTA, MILLE and MYRIA.

The Vermaxt va Luftwaffe transmitted messages in groups of five characters.

The Kriegsmarine, using the four rotor Enigma, had four-character groups. Frequently used names or words were varied as much as possible. Words like Minensuchboot (minesweeper) could be written as MINENSUCHBOOT, MINBOOT, MMMBOOT or MMM354. To make cryptanalysis harder, messages were limited to 250 characters. Longer messages were divided into several parts, each using a different message key.^[25][26]

Example encoding process

The character substitutions by the Enigma machine as a whole can be expressed as a string of letters with each position occupied by the character that will replace the character at the corresponding position in the alphabet. For example, a given machine configuration that encoded A to L, B to U, C to S, ..., and Z to J could be represented compactly as

LUSHQOXDMZNAIKFREPCYBWVGTJ

and the encoding of a particular character by that configuration could be represented by highlighting the encoded character as in

D > LUS(H)QOXDMZNAIKFREPCYBWVGTJ

Since the operation of an Enigma machine encoding a message is a series of such configurations, each associated with a single character being encoded, a sequence of such representations can be used to represent the operation of the machine as it encodes a message. For example, the process of encoding the first sentence of the main body of the famous "Dönitz message"^[27] ga

RBBF PMHP HGCZ XTDY GAHG UFXG EWKB LKGJ

can be represented as

0001 F > KGWNT(R)BLQPAHYDVJIFXEZOCSMU CDTK 25 15 16 260002 O > UORYTQSLWXZHNM(B)VFCGEAPIJDK CDTL 25 15 16 010003 L > HLNRSKJAMGF(B)ICUQPDEYOZXWTV CDTM 25 15 16 020004 G > KPTXIG(F)MESAUHYQBOVJCLRZDNW CDUN 25 15 17 030005 E > XDYB(P)WOSMUZRIQGENLHVJTFACK CDUO 25 15 17 040006 N > DLIAJUOVCEXBN(M)GQPWZYFHRKTS CDUP 25 15 17 050007 D > LUS(H)QOXDMZNAIKFREPCYBWVGTJ CDUQ 25 15 17 060008 E > JKGO(P)TCIHABRNMDEYLZFXWVUQS CDUR 25 15 17 070009 S > GCBUZRASYXVMLPQNOF(H)WDKTJIE CDUS 25 15 17 080010 I > XPJUOWIY(G)CVRTQEBNLZMDKFAHS CDUT 25 15 17 090011 S > DISAUYOMBPNTHKGJRQ(C)LEZXWFV CDUU 25 15 17 100012 T > FJLVQAKXNBGCPIRMEOY(Z)WDUHST CDUV 25 15 17 110013 S > KTJUQONPZCAMLGFHEW(X)BDYRSVI CDUW 25 15 17 120014 O > ZQXUVGFNWRLKPH(T)MBJYODEICSA CDUX 25 15 17 130015 F > XJWFR(D)ZSQBLKTVPOIEHMYNCAUG CDUY 25 15 17 140016 O > FSKTJARXPECNUL(Y)IZGBDMWVHOQ CDUZ 25 15 17 150017 R > CEAKBMRYUVDNFLTXW(G)ZOIJQPHS CDVA 25 15 18 160018 T > TLJRVQHGUCXBZYSWFDO(A)IEPKNM CDVB 25 15 18 170019 B > Y(H)LPGTEBKWICSVUDRQMFONJZAX CDVC 25 15 18 180020 E > KRUL(G)JEWNFADVIPOYBXZCMHSQT CDVD 25 15 18 190021 K > RCBPQMVZXY(U)OFSLDEANWKGTIJH CDVE 25 15 18 200022 A > (F)CBJQAWTVDYNXLUSEZPHOIGMKR CDVF 25 15 18 210023 N > VFTQSBPORUZWY(X)HGDIECJALNMK CDVG 25 15 18 220024 N > JSRHFENDUAZYQ(G)XTMCBPIWVOLK CDVH 25 15 18 230025 T > RCBUTXVZJINQPKWMLAY(E)DGOFSH CDVI 25 15 18 240026 Z > URFXNCMYLVPIGESKTBOQAJZDH(W) CDVJ 25 15 18 250027 U > JIOZFEWMBAUSHPCNRQLV(K)TGYXD CDVK 25 15 18 260028 G > ZGVRKO(B)XLNEIWJFUSDQYPCMHTA CDVL 25 15 18 010029 E > RMJV(L)YQZKCIEBONUGAWXPDSTFH CDVM 25 15 18 020030 B > G(K)QRFEANZPBMLHVJCDUXSOYTWI CDWN 25 15 19 030031 E > YMZT(G)VEKQOHPBSJLIUNDRFXWAC CDWO 25 15 19 040032 N > PDSBTIUQFNOVW(J)KAHZCEGLMYXR CDWP 25 15 19 05

where the letters following each mapping are the letters that appear at the windows at that stage (the only state changes visible to the operator) and the numbers show the underlying physical position of each rotor.

The character mappings for a given configuration of the machine are in turn the result of a series of such mappings applied by each pass through a component of the machine: the encoding of a character resulting from the application of a given component's mapping serves as the input to the mapping of the subsequent component. For example, the 4th step in the encoding above can be expanded to show each of these stages using the same representation of mappings and highlighting for the encoded character:

 G > ABCDEF(G)HIJKLMNOPQRSTUVWXYZ   P EFMQAB(G)UINKXCJORDPZTHWVLYS         AE.BF.CM.DQ.HU.JN.LX.PR.SZ.VW   1 OFRJVM(A)ZHQNBXPYKCULGSWETDI  N  03  VIII   2 (N)UKCHVSMDGTZQFYEWPIALOXRJB  U  17  VI   3 XJMIYVCARQOWH(L)NDSUFKGBEPZT  D  15  V   4 QUNGALXEPKZ(Y)RDSOFTVCMBIHWJ  C  25  β   R RDOBJNTKVEHMLFCWZAXGYIPS(U)Q         c   4 EVTNHQDXWZJFUCPIAMOR(B)SYGLK         β   3 H(V)GPWSUMDBTNCOKXJIQZRFLAEY         V   2 TZDIPNJESYCUHAVRMXGKB(F)QWOL         VI   1 GLQYW(B)TIZDPSFKANJCUXREVMOH         VIII   P E(F)MQABGUINKXCJORDPZTHWVLYS         AE.BF.CM.DQ.HU.JN.LX.PR.SZ.VW F < KPTXIG(F)MESAUHYQBOVJCLRZDNW

Here the encoding begins trivially with the first "mapping" representing the keyboard (which has no effect), followed by the plugboard, configured as AE.BF.CM.DQ.HU.JN.LX.PR.SZ.VW which has no effect on 'G', followed by the VIII rotor in the 03 position, which maps G to A, then the VI rotor in the 17 position, which maps A to N, ..., and finally the plugboard again, which maps B to F, producing the overall mapping indicated at the final step: G to F.

Modellar

The Enigma family included multiple designs. The earliest were commercial models dating from the early 1920s. Starting in the mid-1920s, the German military began to use Enigma, making a number of security-related changes. Various nations either adopted or adapted the design for their own cipher machines.

A selection of seven Enigma machines and paraphernalia exhibited at the U.S. Milliy kriptologik muzey. From left to right, the models are: 1) Commercial Enigma; 2) Enigma T; 3) Enigma G; 4) Unidentified; 5) Luftwaffe (Air Force) Enigma; 6) Her (Army) Enigma; 7) Kriegsmarine (Naval) Enigma — M4.

An estimated 100,000 Enigma machines were constructed. After the end of World War II, the Allies sold captured Enigma machines, still widely considered secure, to developing countries.^[28]

Tijorat sirlari

Scherbius Enigma patent, U.S. Patent 1,657,411 , granted in 1928.

1918 yil 23-fevralda,^{[tekshirib bo'lmadi ]} Arthur Scherbius uchun murojaat qilgan Patent for a ciphering machine that used rotors.^[29] Scherbius and E. Richard Ritter founded the firm of Scherbius & Ritter. Ular Germaniya dengiz floti and Foreign Office with their design, but neither agency was interested. Scherbius & Ritter then assigned the patent rights to Gewerkschaft Securitas, who founded the Chiffriermaschinen Aktien-Gesellschaft (Cipher Machines Stock Corporation) on 9 July 1923; Scherbius and Ritter were on the board of directors.

Enigma A (1923)

Chiffriermaschinen AG began advertising a rotor machine, Enigma model A, which was exhibited at the Congress of the International Postal Union in 1924. The machine was heavy and bulky, incorporating a yozuv mashinkasi. It measured 65×45×38 cm and weighed about 50 kilograms (110 lb).

Enigma B (1924)

In 1924 Enigma model B was introduced, and was of a similar construction.^[30] While bearing the Enigma name, both models A va B were quite unlike later versions: They differed in physical size and shape, but also cryptographically, in that they lacked the reflector.

Enigma C (1926)

The reflector, suggested by Scherbius' colleague Willi Korn, yilda kiritilgan Enigma C (1926).

Model C was smaller and more portable than its predecessors. It lacked a typewriter, relying on the operator; hence the informal name of "glowlamp Enigma" to distinguish it from models A va B.

Enigma D (1927)

The Enigma C quickly gave way to Enigma D (1927). This version was widely used, with shipments to Sweden, the Netherlands, United Kingdom, Japan, Italy, Spain, United States and Poland. 1927 yilda Xyu Foss inglizlarda Hukumat kodeksi va Cypher maktabi was able to show that commercial Enigma machines could be broken, provided suitable cribs were available.^[31]

"Navy Cipher D"

Other countries used Enigma machines. The Italiya dengiz floti adopted the commercial Enigma as "Navy Cipher D". The Spanish also used commercial Enigma machines during their Fuqarolar urushi. British codebreakers succeeded in breaking these machines, which lacked a plugboard.^[32] Enigma machines were also used by diplomatic services.

Enigma H (1929)

A rare 8-rotor printing Enigma model H (1929).

There was also a large, eight-rotor printing model, the Enigma H, deb nomlangan Enigma II tomonidan Reyxsver. In 1933 the Polish Cipher Bureau detected that it was in use for high-level military communication, but it was soon withdrawn, as it was unreliable and jammed frequently.^[33]

Enigma K

The Swiss used a version of Enigma called Model K yoki Shveytsariyalik K for military and diplomatic use, which was very similar to commercial Enigma D. The machine's code was cracked by Poland, France, the United Kingdom and the United States; the latter code-named it INDIGO. An Enigma T model, code-named Tirpitz, was used by Japan.

Typex

Once the British figured out Enigma's principle of operation, they fixed the problem with it and created their own, the Typex, which the Germans believed to be unsolvable.^[34]

Military Enigma

Funkschlüssel C

The Reichsmarine was the first military branch to adopt Enigma. This version, named Funkschlüssel C ("Radio cipher C"), had been put into production by 1925 and was introduced into service in 1926.^[35]

The keyboard and lampboard contained 29 letters — A-Z, Ä, Ö and Ü — that were arranged alphabetically, as opposed to the QWERTZUI ordering.^[36] The rotors had 28 contacts, with the letter X wired to bypass the rotors unencrypted.^[11] Three rotors were chosen from a set of five^[37] and the reflector could be inserted in one of four different positions, denoted α, β, γ and δ.^[38] The machine was revised slightly in July 1933.^[39]

Enigma G (1928–1930)

By 15 July 1928,^[40] the German Army (Reyxsver ) had introduced their own exclusive version of the Enigma machine, the Enigma G.

The Abver ishlatilgan Enigma G (the Abver Enigma). This Enigma variant was a four-wheel unsteckered machine with multiple notches on the rotors. This model was equipped with a counter that incremented upon each key press, and so is also known as the "counter machine" or the Zählwerk Enigma.

Wehrmacht Enigma I (1930–1938)

Enigma machine G was modified to the Enigma I by June 1930.^[41] Enigma I is also known as the Vermaxt, or "Services" Enigma, and was used extensively by German military services and other government organisations (such as the temir yo'llar^[42]) before and during Ikkinchi jahon urushi.

Xaynts Guderian ichida Frantsiya jangi, with an Enigma machine. Note one soldier is keying in text while another writes down the results,

O'rtasidagi asosiy farq Enigma I (German Army version from 1930), and commercial Enigma models was the addition of a plugboard to swap pairs of letters, greatly increasing cryptographic strength.

Other differences included the use of a fixed reflector and the relocation of the stepping notches from the rotor body to the movable letter rings. The machine measured 28 cm × 34 cm × 15 cm (11.0 in × 13.4 in × 5.9 in) and weighed around 12 kg (26 lb).^[43]

In August 1935, the Air Force introduced the Wehrmacht Enigma for their communications.^[41]

M3 (1934)

By 1930, the Reichswehr had suggested that the Navy adopt their machine, citing the benefits of increased security (with the plugboard) and easier interservice communications.^[44] The Reichsmarine eventually agreed and in 1934^[45] brought into service the Navy version of the Army Enigma, designated Funkschlüssel "yoki M3. While the Army used only three rotors at that time, the Navy specified a choice of three from a possible five.^[46]

Enigma in use on the Russian front

Two extra rotors (1938)

In December 1938, the Army issued two extra rotors so that the three rotors were chosen from a set of five.^[41] In 1938, the Navy added two more rotors, and then another in 1939 to allow a choice of three rotors from a set of eight.^[46]

M4 (1942)

A four-rotor Enigma was introduced by the Navy for U-boat traffic on 1 February 1942, called M4 (the network was known as Triton, yoki Nahang to the Allies). The extra rotor was fitted in the same space by splitting the reflector into a combination of a thin reflector and a thin fourth rotor.

• 

  Enigma G, used by the Abver, had four rotors, no plugboard, and multiple notches on the rotors.

• 

  The German-made Enigma-K used by the Swiss Army had three rotors and a reflector, but no plugboard. It had locally re-wired rotors and an additional lamp panel.

• 

  An Enigma model T (Tirpitz), a modified commercial Enigma K manufactured for use by the Japanese.

• 

  An Enigma machine in the UK's Imperial War Museum

• 

  Enigma in use in Russia (image Bundesarchiv)

• 

  Enigma in radio car of the 7th Panzer Div. staff, August 1941

A three-rotor Enigma machine on display at Computer Museum of America and its two additional rotors.

Omon qolgan mashinalar

Surviving three-rotor Enigma on display at Amerikaning Discovery Parki yilda Union City, Tennessee, U.S.

The effort to break the Enigma was not disclosed until the 1970s. Since then, interest in the Enigma machine has grown. Enigmas are on public display in museums around the world, and several are in the hands of private collectors and computer history enthusiasts.^[47]

The Deutsches muzeyi yilda Myunxen has both the three- and four-rotor German military variants, as well as several civilian versions. Enigma machines are exhibited at the National Codes Centre in Bletchli bog'i, Hukumat bilan aloqa bo'yicha shtab, Ilmiy muzey yilda London, Amerikaning Discovery Parki in Tennessee, the Polsha armiyasining muzeyi Varshavada Shvetsiya armiyasi muzeyi (Armémuseum) ichida Stokgolm, the Military Museum of Koruna in Spain, the Nordland Red Cross War Memorial Museum in Narvik,^[48] Norvegiya, The Artillery, Engineers and Signals Museum yilda Hamenlinna, Finlyandiya^[49] The Daniya Texnik universiteti in Lyngby, Denmark, in Skanderborg Bunkerne at Skanderborg, Denmark, and at the Avstraliya urush yodgorligi and in the foyer of the Avstraliya signallari direksiyasi, ikkalasi ham Kanberra, Avstraliya. The Jozef Pilsudski Institute in London exhibits a rare Polsha Enigma dubli assembled in France in 1940.^[50][51]

A four-rotor Kriegsmarine (German Navy, 1. February 1942 to 1945) Enigma machine on display at the U.S. National Cryptologic Museum

In the United States, Enigma machines can be seen at the Kompyuter tarixi muzeyi yilda Mountain View, Kaliforniya va Milliy xavfsizlik agentligi "s Milliy kriptologik muzey yilda Fort Meade, Maryland, where visitors can try their hand at enciphering and deciphering messages. Two machines that were acquired after the capture of U-505 during World War II are on display alongside the submarine at the Fan va sanoat muzeyi yilda Chikago, Illinoys. A four-rotor device is on display in the ANZUS Corridor of the Pentagon on the second floor, A ring, between corridors 9 and 10. This machine is on loan from Australia. The United States Air Force Academy in Colorado Springs has a machine on display in the Computer Science Department. There is also a machine located at Ikkinchi jahon urushi milliy muzeyi Yangi Orleanda. Ikkinchi jahon urushi xalqaro muzeyi near Boston has seven Enigma machines on display, including a U-Boat four-rotor model, one of three surviving examples of an Enigma machine with a printer, one of fewer than ten surviving ten-rotor code machines, an example blown up by a retreating German Army unit, and two three-rotor Enigmas that visitors can operate to encode and decode messages. Computer Museum of America yilda Rozuell, Jorjiya has a three-rotor model with two additional rotors. The machine is fully restored and CMoA has the original paperwork for the purchase on March 7, 1936 by the German Army.

A four-rotor Kriegsmarine Enigma machine on display at the Ikkinchi jahon urushi muzeyi, Gdansk, Polsha

In Canada, a Swiss Army issue Enigma-K, is in Calgary, Alberta. It is on permanent display at the Naval Museum of Alberta inside the Military Museums of Calgary. A four-rotor Enigma machine is on display at the Military Communications and Electronics Museum da Canadian Forces Base (CFB) Kingston yilda Kingston, Ontario.

Occasionally, Enigma machines are sold at auction; prices have in recent years ranged from US$40,000^[52][53] to US$547,500^[54] in 2017. Replicas are available in various forms, including an exact reconstructed copy of the Naval M4 model, an Enigma implemented in electronics (Enigma-E), various simulators and paper-and-scissors analogues.

Nodir Abver Enigma machine, designated G312, was stolen from the Bletchley Park museum on 1 April 2000. In September, a man identifying himself as "The Master" sent a note demanding £25,000 and threatening to destroy the machine if the ransom was not paid. In early October 2000, Bletchley Park officials announced that they would pay the ransom, but the stated deadline passed with no word from the blackmailer. Shortly afterward, the machine was sent anonymously to BBC journalist Jeremi Paxman, missing three rotors.

In November 2000, an antiques dealer named Dennis Yates was arrested after telephoning Sunday Times to arrange the return of the missing parts. The Enigma machine was returned to Bletchley Park after the incident. In October 2001, Yates was sentenced to ten months in prison and served three months.^[55]

In October 2008, the Spanish daily newspaper El Pais reported that 28 Enigma machines had been discovered by chance in an attic of Army headquarters in Madrid. These four-rotor commercial machines had helped Franco's Nationalists win the Ispaniya fuqarolar urushi, because, though the British cryptologist Alfred Dilwyn Knox in 1937 broke the cipher generated by Franco's Enigma machines, this was not disclosed to the Republicans, who failed to break the cipher. The Nationalist government continued using its 50 Enigmas into the 1950s. Some machines have gone on display in Spanish military museums,^[56][57] including one at the National Museum of Science and Technology (MUNCYT) in La Coruña. Two have been given to Britain's GCHQ.^[58]

The Bolgar military used Enigma machines with a Kirillcha klaviatura; one is on display in the Milliy harbiy tarix muzeyi yilda Sofiya.^[59]

Hosilalari

Ushbu bo'lim ehtimol o'z ichiga oladi original tadqiqotlar. Iltimos uni yaxshilang tomonidan tasdiqlash qilingan va qo'shilgan da'volar satrda keltirilgan. Faqat asl tadqiqotlardan iborat bayonotlar olib tashlanishi kerak. (2013 yil aprel) (Ushbu shablon xabarini qanday va qachon olib tashlashni bilib oling)

The Enigma was influential in the field of cipher machine design, spinning off other rotor machines. Inglizlar Typex was originally derived from the Enigma patents; Typex even includes features from the patent descriptions that were omitted from the actual Enigma machine. The British paid no royalties for the use of the patents, to protect secrecy. The Typex implementation is not the same as that found in German or other Axis versions.

A Japanese Enigma clone was codenamed GREEN by American cryptographers. Little used, it contained four rotors mounted vertically. In the United States, cryptologist Uilyam Fridman dizaynlashtirilgan M-325, a machine logically similar, although not in construction.

A unique rotor machine was constructed in 2002 by Netherlands-based Tatjana van Vark. This device makes use of 40-point rotors, allowing letters, numbers and some punctuation to be used; each rotor contains 509 parts.^[60]

Machines like the SIGABA, NEMA, Typex and so forth, are deliberately not considered to be Enigma derivatives as their internal ciphering functions are not mathematically identical to the Enigma transform.

Several software implementations exist, but not all exactly match Enigma behaviour. The most commonly used software derivative (that is not compliant with any hardware implementation of the Enigma) is at EnigmaCo.de. Many Java applet Enigmas only accept single letter entry, complicating use even if the applet is Enigma compliant. Technically, Enigma@home is the largest scale deployment of a software Enigma, but the decoding software does not implement encipherment making it a derivative (as all original machines could cipher and decipher).

A user-friendly three-rotor simulator, where users can select rotors, use the plugboard and define new settings for the rotors and reflectors is available.^[61] The output appears in separate windows which can be independently made "invisible" to hide decryption.^[62] Another includes an "autotyping" function which takes plaintext from a clipboard and converts it to cyphertext (or vice versa) at one of four speeds. The "very fast" option produces 26 characters in less than one second.^[63]

• 

  A Japanese Enigma clone, codenamed GREEN by American cryptographers.

• 

  Tatjana van Vark's Enigma-inspired rotor machine.

• 

  Electronic implementation of an Enigma machine, sold at the Bletchley Park souvenir shop

Simulyatorlar

Ommaviy madaniyatda

Ushbu bo'lim o'z ichiga olgan ko'rinadi ahamiyatsiz, mayda yoki o'zaro bog'liq bo'lmagan havolalar ommaviy madaniyat. Iltimos, mavzuni ommaviy madaniyatga ta'sirini tushuntirish uchun ushbu tarkibni qayta tashkil eting, iqtiboslarni taqdim etish ga ishonchli, ikkilamchi manbalar, shunchaki ko'rinishlarni ro'yxatlash o'rniga. Ma'lumot manbasi bo'lmagan materialga qarshi chiqish va olib tashlash mumkin. (Iyul 2019)

Adabiyot

• Xyu Uitmor o'yin, Breaking the Code (1986), focuses on the life and death of Alan Turing, who was the central force in continuing to solve the Enigma code in the United Kingdom, during Ikkinchi jahon urushi. Turing was played by Derek Jakobi, who also played Turing in a 1996 television adaptation of the play.
• Robert Xarris "roman Jumboq (1995) is set against the backdrop of World War II Bletchli bog'i and cryptologists working to read Naval Enigma in Hut 8.
• Nil Stivenson roman Kriptonomikon (1999) prominently features the Enigma machine and efforts to break it, and portrays the German U-boat command under Karl Dönitz using it in apparently deliberate ignorance of its penetration.
• Enigma is featured in The Code Book, a survey of the history of cryptography written by Simon Singx va 1999 yilda nashr etilgan.
• The Enigma machine is used as a key plot element in Century Rain tomonidan Alastair Reynolds, set in an alternate Earth where technological research has stagnated and the Enigma is the highest level of encryption available both to civilians and military.

Filmlar

• Sekret Enigmy (1979; translation: The Enigma Secret), is a Polish film dealing with Polish aspects of the subject.^[79]
• The plot of the film U-571 (released in 2000) revolves around an attempt by American, rather than British, forces to seize an Enigma machine from a German U-boat.
• The 2001 war comedy film Qirolichaning barcha erkaklari featured a fictitious British plot to capture an Engima machine by infiltrating the Enigma factory with men disguised as women.
• Harris' book, with substantial changes in plot, was adapted as the film Jumboq (2001), rejissyor Maykl Apted va bosh rollarda Keyt Uinslet va Dugray Skott. The film was criticised for historical inaccuracies, including neglect of the role of Polsha "s Byuro Szyfrow. The film, like the book, makes a Pole the villain, who seeks to betray the secret of Enigma decryption.^[80]
• Film Taqlid o'yini (2014) tells the story of Alan Turing and his attempts to crack the Enigma machine code during World War II.^[47]

Televizor

• Britaniyalik teleseriallarda Bletchli doirasi, Typex was used by the protagonists during the war, and in Season 2, Episode 4, they visit Bletchli bog'i to seek one out, in order to crack the code of the qora bozor procurer and smuggler Marta, who used the Typex to encode her ledger. The Circle, forced to settle for using an Enigma, instead, successfully cracks the code.
• Yilda Boshlang'ich season 5, episode 23 ("Scrambled"), a drug smuggling gang uses a four-rotor Enigma machine as part of their effort to encrypt their communications.
• Yilda Suyaklar season 8, episode 12 ("The Corpse in the Canopy"), Doktor Jek Xodgins uses an Enigma machine to send information to Sili Booth at the FBI in order to prevent Kristofer Pelant, a master hacker, from spying on their communications.

Shuningdek qarang

• Beumanor zali, a stately home used during the Second World War for military intelligence
• Alastair Denniston
• Erix Fellgiebel
• Gisbert Xasenjaeger — responsible for Enigma security
• Erxard Maertens — investigated Enigma security
• Frits Tiele
• Amerika Qo'shma Shtatlarining dengiz hisoblash mashinalari laboratoriyasi
• Arlington Xoll

Adabiyotlar

Bibliografiya

Qo'shimcha o'qish

• Jumboq kodini buzganlarning aytilmagan hikoyasi - Mudofaa vazirligi (Buyuk Britaniya)

Tashqi havolalar

• Gordon Corera, Polshaning e'tibordan chetda qolgan Enigma kod buzuvchilari, BBC News Magazine, 2014 yil 4-iyul
• Ko'rsatilgan Enigma mashinalari bilan uzoq muddatli ro'yxat
• Bletchley Park milliy kod markazi Ikkinchi Jahon urushi paytida Britaniyalik qonun buzuvchilarning uyi
• Kripto muzeyi veb-saytidagi Enigma mashinalari
• To'rt rotorli dengiz jumboqining rasmlari, shu jumladan mashinaning Flash (SWF) ko'rinishlari
• RSA-da NSA xodimining Enigma rasmlari va namoyishi
• Enigma mashinasi da Curlie
• Kenngruppenheft
• Enigma M4 nusxasini yaratish jarayoni
• Germaniya dengiz flotining shifrlarini buzish
• Onlayn Enigma Machine simulyatori
• Enigma simulyatsiyasi
• Universal Enigma simulyatori
• Cryptii - Onlayn modulli o'yin maydonchasi, shu jumladan 13 ta Enigma mashinasining o'zgarishi