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Historical Ciphers • A
ECE 646 - Lecture 6 Required Reading • W. Stallings, Cryptography and Network Security, Chapter 2, Classical Encryption Techniques Historical Ciphers • A. Menezes et al., Handbook of Applied Cryptography, Chapter 7.3 Classical ciphers and historical development Why (not) to study historical ciphers? Secret Writing AGAINST FOR Steganography Cryptography (hidden messages) (encrypted messages) Not similar to Basic components became modern ciphers a part of modern ciphers Under special circumstances modern ciphers can be Substitution Transposition Long abandoned Ciphers reduced to historical ciphers Transformations (change the order Influence on world events of letters) Codes Substitution The only ciphers you Ciphers can break! (replace words) (replace letters) Selected world events affected by cryptology Mary, Queen of Scots 1586 - trial of Mary Queen of Scots - substitution cipher • Scottish Queen, a cousin of Elisabeth I of England • Forced to flee Scotland by uprising against 1917 - Zimmermann telegram, America enters World War I her and her husband • Treated as a candidate to the throne of England by many British Catholics unhappy about 1939-1945 Battle of England, Battle of Atlantic, D-day - a reign of Elisabeth I, a Protestant ENIGMA machine cipher • Imprisoned by Elisabeth for 19 years • Involved in several plots to assassinate Elisabeth 1944 – world’s first computer, Colossus - • Put on trial for treason by a court of about German Lorenz machine cipher 40 noblemen, including Catholics, after being implicated in the Babington Plot by her own 1950s – operation Venona – breaking ciphers of soviet spies letters sent from prison to her co-conspirators stealing secrets of the U.S. atomic bomb in the encrypted form – one-time pad 1 Mary, Queen of Scots – cont. -
Some Notes on a Formal Algebraic Structure of Cryptology
mathematics Article Some Notes on a Formal Algebraic Structure of Cryptology Vicente Jara-Vera * and Carmen Sánchez-Ávila Departamento de Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones (Escuela Técnica Superior de Ingenieros de Telecomunicación), Universidad Politécnica de Madrid, Avenida Complutense 30, 28040 Madrid, Spain; [email protected] * Correspondence: [email protected]; Tel.: +34–686–615–535 Abstract: Cryptology, since its advent as an art, art of secret writing, has slowly evolved and changed, above all since the middle of the last century. It has gone on to obtain a more solid rank as an applied mathematical science. We want to propose some annotations in this regard in this paper. To do this, and after reviewing the broad spectrum of methods and systems throughout history, and from the traditional classification, we offer a reordering in a more compact and complete way by placing the cryptographic diversity from the algebraic binary relations. This foundation of cryptological operations from the principles of algebra is enriched by adding what we call pre-cryptological operations which we show as a necessary complement to the entire structure of cryptology. From this framework, we believe that it is improved the diversity of questions related to the meaning, the fundamentals, the statute itself, and the possibilities of cryptological science. Keywords: algebra; cryptography; cryptology MSC: 14G50; 94A60 Citation: Jara-Vera, V.; Sánchez-Ávila, C. Some Notes on a Formal Algebraic Structure of 1. Introduction Cryptology. Mathematics 2021, 9, 2183. https://doi.org/10.3390/math9182183 Cryptology is a science that is usually explained based on its historical development. -
Code Talkers Hearing
S. HRG. 108–693 CODE TALKERS HEARING BEFORE THE COMMITTEE ON INDIAN AFFAIRS UNITED STATES SENATE ONE HUNDRED EIGHTH CONGRESS SECOND SESSION ON CONTRIBUTIONS OF NATIVE AMERICAN CODE TALKERS IN AMERICAN MILITARY HISTORY SEPTEMBER 22, 2004 WASHINGTON, DC ( U.S. GOVERNMENT PRINTING OFFICE 96–125 PDF WASHINGTON : 2004 For sale by the Superintendent of Documents, U.S. Government Printing Office Internet: bookstore.gpo.gov Phone: toll free (866) 512–1800; DC area (202) 512–1800 Fax: (202) 512–2250 Mail: Stop SSOP, Washington, DC 20402–0001 COMMITTEE ON INDIAN AFFAIRS BEN NIGHTHORSE CAMPBELL, Colorado, Chairman DANIEL K. INOUYE, Hawaii, Vice Chairman JOHN McCAIN, Arizona, KENT CONRAD, North Dakota PETE V. DOMENICI, New Mexico HARRY REID, Nevada CRAIG THOMAS, Wyoming DANIEL K. AKAKA, Hawaii ORRIN G. HATCH, Utah BYRON L. DORGAN, North Dakota JAMES M. INHOFE, Oklahoma TIM JOHNSON, South Dakota GORDON SMITH, Oregon MARIA CANTWELL, Washington LISA MURKOWSKI, Alaska PAUL MOOREHEAD, Majority Staff Director/Chief Counsel PATRICIA M. ZELL, Minority Staff Director/Chief Counsel (II) C O N T E N T S Page Statements: Brown, John S., Chief of Military History and Commander, U.S. Army Center of Military History ............................................................................ 5 Campbell, Hon. Ben Nighthorse, U.S. Senator from Colorado, chairman, Committee on Indian Affairs ....................................................................... 1 Inhofe, Hon. James M., U.S. Senator from Oklahoma .................................. 2 Johnson, Hon. -
Polish Mathematicians Finding Patterns in Enigma Messages
Fall 2006 Chris Christensen MAT/CSC 483 Machine Ciphers Polyalphabetic ciphers are good ways to destroy the usefulness of frequency analysis. Implementation can be a problem, however. The key to a polyalphabetic cipher specifies the order of the ciphers that will be used during encryption. Ideally there would be as many ciphers as there are letters in the plaintext message and the ordering of the ciphers would be random – an one-time pad. More commonly, some rotation among a small number of ciphers is prescribed. But, rotating among a small number of ciphers leads to a period, which a cryptanalyst can exploit. Rotating among a “large” number of ciphers might work, but that is hard to do by hand – there is a high probability of encryption errors. Maybe, a machine. During World War II, all the Allied and Axis countries used machine ciphers. The United States had SIGABA, Britain had TypeX, Japan had “Purple,” and Germany (and Italy) had Enigma. SIGABA http://en.wikipedia.org/wiki/SIGABA 1 A TypeX machine at Bletchley Park. 2 From the 1920s until the 1970s, cryptology was dominated by machine ciphers. What the machine ciphers typically did was provide a mechanical way to rotate among a large number of ciphers. The rotation was not random, but the large number of ciphers that were available could prevent depth from occurring within messages and (if the machines were used properly) among messages. We will examine Enigma, which was broken by Polish mathematicians in the 1930s and by the British during World War II. The Japanese Purple machine, which was used to transmit diplomatic messages, was broken by William Friedman’s cryptanalysts. -
The the Enigma Enigma Machinemachine
TheThe EnigmaEnigma MachineMachine History of Computing December 6, 2006 Mike Koss Invention of Enigma ! Invented by Arthur Scherbius, 1918 ! Adopted by German Navy, 1926 ! Modified military version, 1930 ! Two Additional rotors added, 1938 How Enigma Works Scrambling Letters ! Each letter on the keyboard is connected to a lamp letter that depends on the wiring and position of the rotors in the machine. ! Right rotor turns before each letter. How to Use an Enigma ! Daily Setup – Secret settings distributed in code books. ! Encoding/Decoding a Message Setup: Select (3) Rotors ! We’ll use I-II-III Setup: Rotor Ring Settings ! We’ll use A-A-A (or 1-1-1). Rotor Construction Setup: Plugboard Settings ! We won’t use any for our example (6 to 10 plugs were typical). Setup: Initial Rotor Position ! We’ll use “M-I-T” (or 13-9-20). Encoding: Pick a “Message Key” ! Select a 3-letter key (or indicator) “at random” (left to the operator) for this message only. ! Say, I choose “M-C-K” (or 13-3-11 if wheels are printed with numbers rather than letters). Encoding: Transmit the Indicator ! Germans would transmit the indicator by encoding it using the initial (daily) rotor position…and they sent it TWICE to make sure it was received properly. ! E.g., I would begin my message with “MCK MCK”. ! Encoded with the daily setting, this becomes: “NWD SHE”. Encoding: Reset Rotors ! Now set our rotors do our chosen message key “M-C-K” (13-3-11). ! Type body of message: “ENIGMA REVEALED” encodes to “QMJIDO MZWZJFJR”. -
Kriptografija U Drugom Svjetskom Ratu
SVEUČILIŠTE JOSIPA JURJA STROSSMAYERA U OSIJEKU ODJEL ZA FIZIKU DORIS MRŠIĆ KRIPTOGRAFIJA U DRUGOM SVJETSKOM RATU Diplomski rad Osijek, 2019. SVEUČILIŠTE JOSIPA JURJA STROSSMAYERA U OSIJEKU ODJEL ZA FIZIKU DORIS MRŠIĆ KRIPTOGRAFIJA U DRUGOM SVJETSKOM RATU Diplomski rad predložen Odjelu za fiziku Josipa Jurja Strossmayera u Osijeku u postupku stjecanja zvanja magistra edukacije fizike i informatike Osijek, 2019. i Ovaj diplomski rad je izrađen u Osijeku pod mentorstvom prof. dr. sc. Darka Dukića u sklopu Sveučilišnog diplomskog studija Fizike i informatike na Odjelu za fiziku Sveučilišta Josipa Jurja Strossmayera u Osijeku. ii ZAHVALA …mojoj obitelji, bližnjima i prijateljima na motivaciji i razumijevanju… …profesoru na trudu i zalaganju… iii Sveučilište Josipa Jurja Strossmayera u Osijeku Diplomski rad Odjel za fiziku KRIPTOGRAFIJA U DRUGOM SVJETSKOM RATU Doris Mršić Sažetak Predmet izučavanja ovog diplomskog rada je kriptografija za vrijeme Drugog svjetskog rata. Nakon uvoda je ukratko prikazan razvoj kriptografije u starom, srednjem i novom vijeku. Zatim su opisani kriptografski uređaji Enigma, SIGABA i Purple, koji su se koristili tijekom Drugog svjetskog rata, kao i kod plemena Navajo. Naposljetku je sažeto prezentiran razvoj kriptografije u suvremenom dobu. Cilj je rada bio upoznati se s ulogom i značajem ovog važnog područja, poglavito u Drugom svjetskom ratu, u kojem su kriptografija i kriptoanaliza u velikoj mjeri odredile njegov konačan ishod. Ključne riječi: kriptografija, kriptografski uređaji, Enigma, SIGABA, Purple (50 stranice, 19 slika, 16 tablica, 45 literaturna navoda) Rad je pohranjen u knjižnici Odjela za fiziku Mentor: prof. dr. sc. Darko Dukić Ocjenjivači: izv. prof. dr. sc. Igor Lukačević, izv. prof. dr. sc. Branko Vuković Rad prihvaćen: 10. -
The Mathematics of the Enigma Machine Student: Emily Yale Supervisor: Dr Tariq Jarad
The Mathematics of the Enigma Machine Student: Emily Yale Supervisor: Dr Tariq Jarad The Enigma Machine is a mechanical encryption device used mainly by the German Forces during WWII to turn plaintext into complex ciphertext, the same machine could be used to do the reverse (Trappe and Washington, 2006). Invented by the German engineer Arthur Scherbius at the end of World War I the cipher it produced was marketed as ‘unbreakable’ (Trappe and Washington, 2006). Adopted by the German military forces, it worked by layering a number of substitution ciphers that were decided by an excess of 1.589x1021 machine settings. With help from Polish and French mathematicians, the cryptographer named Alan Turing created a machine known as the ‘Bombe’ which helped to reduce the time taken to ‘break’ an Enigma cipher (Imperial War Museums, 2015). The report this poster is based on focuses on the mathematics of the Enigma machine as well as the methods used to find the settings for a piece of ciphertext. Advantages and disadvantages of the Enigma code will be explored, alternative cipher machines are considered. Aims and Objective Bombe (Group Theory) • A brief insight into Cryptography The Bombe was a machine that could be used to find the key to an • The history of the Enigma Machine Enigma cipher. It was modelled on the Polish machine, Bomba, which • The mechanism of the Enigma Machine could also do same before Enigma was enhanced. Bombe could find the • The mathematics of the Bombe settings on an Enigma machine that had been used to encrypt a • Understanding Group Theory ciphertext. -
Gendering Decryption - Decrypting Gender
1 Gendering decryption - decrypting gender The gender discourse of labour at Bletchley Park 1939-1945 Photograph taken from Smith 2011. Spring 2013 MA thesis (30 hp) Author: Annie Burman Supervisor: Mikael Byström Seminar leader: Torkel Jansson Date of seminar: 4 June 2013 2 Abstract Ever since the British efforts to break Axis codes and ciphers during the Second World War were declassified in the 1970s, the subject of Government Code and Cipher School, the organisation responsible, Bletchley Park, its wartime headquarters, and the impact of the intelligence on the war has fascinated both historians and the general public. However, little attention has been paid to Bletchley Park as a war station where three-quarters of the personnel was female. The purpose of this thesis is to explore the gender discourse of labour at Bletchley Park and how it relates to the wider context of wartime Britain. This is done through the theoretical concepts of gendering (the assignation of a gender to a job, task or object), horizontal gender segregation (the custom of assigning men and women different jobs) and vertical gender segregation (the state where men hold more prestigious positions in the hierarchy than women). The primary sources are interviews, letters and memoirs by female veterans of Bletchley Park, kept in Bletchley Park Trust Archive and the Imperial War Museum’s collections, and printed accounts, in total two monographs and five articles. Surviving official documents from Bletchley Park, now kept in the National Archives, are also utilised. Using accounts created by female veterans themselves as the main source material allows for women’s perspectives to be acknowledged and examined. -
A Complete Bibliography of Publications in Cryptologia
A Complete Bibliography of Publications in Cryptologia Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 04 September 2021 Version 3.64 Title word cross-reference 10016-8810 [?, ?]. 1221 [?]. 125 [?]. 15.00/$23.60.0 [?]. 15th [?, ?]. 16th [?]. 17-18 [?]. 18 [?]. 180-4 [?]. 1812 [?]. 18th (t; m)[?]. (t; n)[?, ?]. $10.00 [?]. $12.00 [?, ?, ?, ?, ?]. 18th-Century [?]. 1930s [?]. [?]. 128 [?]. $139.99 [?]. $15.00 [?]. $16.95 1939 [?]. 1940 [?, ?]. 1940s [?]. 1941 [?]. [?]. $16.96 [?]. $18.95 [?]. $24.00 [?]. 1942 [?]. 1943 [?]. 1945 [?, ?, ?, ?, ?]. $24.00/$34 [?]. $24.95 [?, ?]. $26.95 [?]. 1946 [?, ?]. 1950s [?]. 1970s [?]. 1980s [?]. $29.95 [?]. $30.95 [?]. $39 [?]. $43.39 [?]. 1989 [?]. 19th [?, ?]. $45.00 [?]. $5.95 [?]. $54.00 [?]. $54.95 [?]. $54.99 [?]. $6.50 [?]. $6.95 [?]. $69.00 2 [?, ?]. 200/220 [?]. 2000 [?]. 2004 [?, ?]. [?]. $69.95 [?]. $75.00 [?]. $89.95 [?]. th 2008 [?]. 2009 [?]. 2011 [?]. 2013 [?, ?]. [?]. A [?]. A3 [?, ?]. χ [?]. H [?]. k [?, ?]. M 2014 [?]. 2017 [?]. 2019 [?]. 20755-6886 [?, ?]. M 3 [?]. n [?, ?, ?]. [?]. 209 [?, ?, ?, ?, ?, ?]. 20th [?]. 21 [?]. 22 [?]. 220 [?]. 24-Hour [?, ?, ?]. 25 [?, ?]. -Bit [?]. -out-of- [?, ?]. -tests [?]. 25.00/$39.30 [?]. 25.00/839.30 [?]. 25A1 [?]. 25B [?]. 26 [?, ?]. 28147 [?]. 28147-89 000 [?]. 01Q [?, ?]. [?]. 285 [?]. 294 [?]. 2in [?, ?]. 2nd [?, ?, ?, ?]. 1 [?, ?, ?, ?]. 1-4398-1763-4 [?]. 1/2in [?, ?]. 10 [?]. 100 [?]. 10011-4211 [?]. 3 [?, ?, ?, ?]. 3/4in [?, ?]. 30 [?]. 310 1 2 [?, ?, ?, ?, ?, ?, ?]. 312 [?]. 325 [?]. 3336 [?, ?, ?, ?, ?, ?]. affine [?]. [?]. 35 [?]. 36 [?]. 3rd [?]. Afluisterstation [?, ?]. After [?]. Aftermath [?]. Again [?, ?]. Against 4 [?]. 40 [?]. 44 [?]. 45 [?]. 45th [?]. 47 [?]. [?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?]. Age 4in [?, ?]. [?, ?]. Agencies [?]. Agency [?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?]. -
Breaking Enigma Samantha Briasco-Stewart, Kathryn Hendrickson, and Jeremy Wright
Breaking Enigma Samantha Briasco-Stewart, Kathryn Hendrickson, and Jeremy Wright 1 Introduction 2 2 The Enigma Machine 2 2.1 Encryption and Decryption Process 3 2.2 Enigma Weaknesses 4 2.2.1 Encrypting the Key Twice 4 2.2.2 Cillies 5 2.2.3 The Enigma Machine Itself 5 3 Zygalski Sheets 6 3.1 Using Zygalski Sheets 6 3.2 Programmatic Replication 7 3.3 Weaknesses/Problems 7 4 The Bombe 8 4.1 The Bombe In Code 10 4.1.1 Making Menus 10 4.1.2 Running Menus through the Bombe 10 4.1.3 Checking Stops 11 4.1.4 Creating Messages 11 4.1.5 Automating the Process 11 5 Conclusion 13 References 14 1 Introduction To keep radio communications secure during World War II, forces on both sides of the war relied on encryption. The main encryption scheme used by the German military for most of World War II employed the use of an Enigma machine. As such, Britain employed a large number of codebreakers and analysts to work towards breaking the Enigma-created codes, using many different methods. In this paper, we lay out information we learned while researching these methods, as well as describe our attempts at programatically recreating two methods: Zygalski sheets and the Bombe. 2 The Enigma Machine The Enigma machine was invented at the end of World War I, by a German engineer named Arthur Scherbius. It was commercially available in the 1920s before being adopted by the German military, among others, around the beginning of World War II. -
Enigma Cipher Machine Simulator 7.0.5
ENIGMA CIPHER MACHINE SIMULATOR 7.0.5 About the Enigma Simulator The German Enigma machine is the most famous example of the battle between codemakers and codebreakers. Never before has the fate of so many lives been so influenced by one cryptographic machine, as the Enigma did in the Second World War. The story of Enigma combines technology, military history, espionage, codebreaking and intelligence into a real thriller. This software is an exact simulation of the 3-rotor Heer (Army) and Luftwaffe (Airforce) Wehrmacht Enigma I, the Kriegsmarine (wartime Navy) Enigma M3 and the famous 4-rotor Enigma M4, as they were used during World War II from 1939 until 1945. The internal wiring of all rotors is identical to those used by the Heer, Luftwaffe and Kriegsmarine. This simulator is therefore fully compatible with the real Enigma machine and you can decipher original messages and encipher your own messages. You can use the Enigma simulator in exactly the same way as a German signal trooper would have done during WW2. The hands-on approach and realistic graphics ensure an authentic feeling. You can open the machine, change the internal settings, select rotors from the spare box, preset their ring settings, insert them into the machine and set the plugboard. The sounds are recorded from an actual Enigma machine. This manual explains how to use the Enigma simulator, the message procedures as used by the German Armed Forces, including some authentic message examples, a complete technical description and a brief history of the Enigma. More information on the Enigma machine is found at the Cipher Machines & Cryptology website: http://users.telenet.be/d.rijmenants This manual is copyrighted. -
The Cultural Contradictions of Cryptography: a History of Secret Codes in Modern America
The Cultural Contradictions of Cryptography: A History of Secret Codes in Modern America Charles Berret Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy under the Executive Committee of the Graduate School of Arts and Sciences Columbia University 2019 © 2018 Charles Berret All rights reserved Abstract The Cultural Contradictions of Cryptography Charles Berret This dissertation examines the origins of political and scientific commitments that currently frame cryptography, the study of secret codes, arguing that these commitments took shape over the course of the twentieth century. Looking back to the nineteenth century, cryptography was rarely practiced systematically, let alone scientifically, nor was it the contentious political subject it has become in the digital age. Beginning with the rise of computational cryptography in the first half of the twentieth century, this history identifies a quarter-century gap beginning in the late 1940s, when cryptography research was classified and tightly controlled in the US. Observing the reemergence of open research in cryptography in the early 1970s, a course of events that was directly opposed by many members of the US intelligence community, a wave of political scandals unrelated to cryptography during the Nixon years also made the secrecy surrounding cryptography appear untenable, weakening the official capacity to enforce this classification. Today, the subject of cryptography remains highly political and adversarial, with many proponents gripped by the conviction that widespread access to strong cryptography is necessary for a free society in the digital age, while opponents contend that strong cryptography in fact presents a danger to society and the rule of law.