The Solving of a Fleissner Grille During an Exercise by the Royal Netherlands Army in 1913
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COS433/Math 473: Cryptography Mark Zhandry Princeton University Spring 2017 Cryptography Is Everywhere a Long & Rich History
COS433/Math 473: Cryptography Mark Zhandry Princeton University Spring 2017 Cryptography Is Everywhere A Long & Rich History Examples: • ~50 B.C. – Caesar Cipher • 1587 – Babington Plot • WWI – Zimmermann Telegram • WWII – Enigma • 1976/77 – Public Key Cryptography • 1990’s – Widespread adoption on the Internet Increasingly Important COS 433 Practice Theory Inherent to the study of crypto • Working knowledge of fundamentals is crucial • Cannot discern security by experimentation • Proofs, reductions, probability are necessary COS 433 What you should expect to learn: • Foundations and principles of modern cryptography • Core building blocks • Applications Bonus: • Debunking some Hollywood crypto • Better understanding of crypto news COS 433 What you will not learn: • Hacking • Crypto implementations • How to design secure systems • Viruses, worms, buffer overflows, etc Administrivia Course Information Instructor: Mark Zhandry (mzhandry@p) TA: Fermi Ma (fermima1@g) Lectures: MW 1:30-2:50pm Webpage: cs.princeton.edu/~mzhandry/2017-Spring-COS433/ Office Hours: please fill out Doodle poll Piazza piaZZa.com/princeton/spring2017/cos433mat473_s2017 Main channel of communication • Course announcements • Discuss homework problems with other students • Find study groups • Ask content questions to instructors, other students Prerequisites • Ability to read and write mathematical proofs • Familiarity with algorithms, analyZing running time, proving correctness, O notation • Basic probability (random variables, expectation) Helpful: • Familiarity with NP-Completeness, reductions • Basic number theory (modular arithmetic, etc) Reading No required text Computer Science/Mathematics Chapman & Hall/CRC If you want a text to follow along with: Second CRYPTOGRAPHY AND NETWORK SECURITY Cryptography is ubiquitous and plays a key role in ensuring data secrecy and Edition integrity as well as in securing computer systems more broadly. -
Transposition Cipher in Cryptography, a Transposition Cipher Is a Method of Encryption by Which the Positions Held by Units of P
Transposition cipher In cryptography, a transposition cipher is a method of encryption by which the positions held by units of plaintext (which are commonly characters or groups of characters) are shifted according to a regular system, so that the ciphertext constitutes a permutation of the plaintext. That is, the order of the units is changed. Mathematically a bijective function is used on the characters' positions to encrypt and an inverse function to decrypt. Following are some implementations. Contents • 1 Rail Fence cipher • 2 Route cipher • 3 Columnar transposition • 4 Double transposition • 5 Myszkowski transposition • 6 Disrupted transposition • 7 Grilles • 8 Detection and cryptanalysis • 9 Combinations • 10 Fractionation Rail Fence cipher The Rail Fence cipher is a form of transposition cipher that gets its name from the way in which it is encoded. In the rail fence cipher, the plaintext is written downwards on successive "rails" of an imaginary fence, then moving up when we get to the bottom. The message is then read off in rows. For example, using three "rails" and a message of 'WE ARE DISCOVERED. FLEE AT ONCE', the cipherer writes out: W . E . C . R . L . T . E . E . R . D . S . O . E . E . F . E . A . O . C . A . I . V . D . E . N . Then reads off: WECRL TEERD SOEEF EAOCA IVDEN (The cipherer has broken this ciphertext up into blocks of five to help avoid errors.) Route cipher In a route cipher, the plaintext is first written out in a grid of given dimensions, then read off in a pattern given in the key. -
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 [?, ?, ?, ?, ?, ?, ?, ?, ?, ?, ?]. -
Nomenclators Nomenclator Example Alberti's Cipher Disk
Nomenclators Early code/cipher combination, popular form 1400s-1800s. Philip of Spain (1589, see Kahn): LO = Spain POM = King of Spain 64 = confederation overlined two-digit groups = null + substitution cipher with homophones Nomenclator Example Nomenclator used by Mary, Queen of Scots . in 1586 in the plot against Elizabeth I Taken from Simon Singh. The Code Book. Alberti’s Cipher Disk Invented by Leon Battista Alberti in 1460s. outer disk (fixed) plaintext inner disk (moving) ciphertext Agree on index letter on inner disk. Key: letter corresponding to index letter on outer disk. Key can change during encryption 1 Cipher Disk Examples Let’s choose “K” as index letter. Examples: rRVTZOK aKVtTRCK HKmZMEP Since the key can change, this cipher is no longer monoalphabetic, but polyalphabetic. Are there other ways to use the cipher disk? Johannes Trithemius 1462-1516, Germany Polygraphiae, 1518 First printed book on cryptography. • Ave Maria Cipher • Polyalphabetic substitution • Progressive key Steganographia, 1606 • hidden writing http://diglib.hab.de/drucke/12-3-rhet-2f/start.htm Polygraphiae I The Polygraphiae contains many pages of code. 2 Polygraphiae II: Ave Maria 1st and 2nd page Steganographia http://books.google.com/books?id=bQdC AAAAcAAJ&dq=Trithemius%20Stegano graphia&pg=PR6#v=onepage&q&f=false Polygraphiae III Tabula recta, from the 6th book of the Polygraphiae. • Polyalphabetic substitution • Progressive key The history of information security: a comprehensive handbook, de Leeuw, Bergstra 3 Polygraphiae IV Examples (starting with first alphabet) • Johannes • SUGKESUOWSUN The history of information security: a comprehensive handbook, de Leeuw, Bergstra Modern Tabula Recta More Examples (not from beginning) • XNNN • NUGUV http://commons.wikimedia.org/wiki/File:Vigenere-square.png Giovan Batista Belaso La cifra del. -
Encoding with the Rail Fence Cipher
More Fun with Ciphers! October 8th, 2015 Encoding with the Rail Fence Cipher 1. Encode the phrase WE NEED YOUR HELP using the Rail Fence cipher. (a) First, make an outline of the zig-zag pattern for the number of letters that are in your message. (WE NEED YOUR HELP has 14 letters.) _ _ _ _ _ _ _ _ _ _ _ _ _ _ i. Arrange the letters of the message on the zig-zag pattern: W E U L E E D O R E P N Y H ii. Then, the encoded phrase is written out left-to-right, top-to-bottom. This time, we have also divided the message into three “words” (each word has letters written on one of the lines above) . WEUL EEDOREP NYH (b) Use the Rail Fence cipher to encode the message I WILL BE THERE SOON _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ What will the encoded text read? 1 Decoding Rail Fence Cipher 1. Decode the following message: BRRT EAEFOOS WOB Since the message is divided into 3 “words” (corresponding to the first, second and third row), you can simply read off the message as follows: (a) Write down the first letters of each of the three words (first, second, third): BEW (b) Then, write down the second letters of each of the three words (second, first, third) (watch out for the order of the words!!!): BEW ... (c) Continue writing the next letters going back and forth from 1st word, to 2nd, to 3rd, to 2nd, to 1st, to 2nd, to 3rd, etc. -
Codebreakers
1 Some of the things you will learn in THE CODEBREAKERS • How secret Japanese messages were decoded in Washington hours before Pearl Harbor. • How German codebreakers helped usher in the Russian Revolution. • How John F. Kennedy escaped capture in the Pacific because the Japanese failed to solve a simple cipher. • How codebreaking determined a presidential election, convicted an underworld syndicate head, won the battle of Midway, led to cruel Allied defeats in North Africa, and broke up a vast Nazi spy ring. • How one American became the world's most famous codebreaker, and another became the world's greatest. • How codes and codebreakers operate today within the secret agencies of the U.S. and Russia. • And incredibly much more. "For many evenings of gripping reading, no better choice can be made than this book." —Christian Science Monitor THE Codebreakers The Story of Secret Writing By DAVID KAHN (abridged by the author) A SIGNET BOOK from NEW AMERICAN LIBRARV TIMES MIRROR Copyright © 1967, 1973 by David Kahn All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system, without permission in writing from the publisher. For information address The Macmillan Company, 866 Third Avenue, New York, New York 10022. Library of Congress Catalog Card Number: 63-16109 Crown copyright is acknowledged for the following illustrations from Great Britain's Public Record Office: S.P. 53/18, no. 55, the Phelippes forgery, and P.R.O. 31/11/11, the Bergenroth reconstruction. -
A Anhang: Perfekte Sicherheit Und Praktische Sicherheit
A Anhang: Perfekte Sicherheit und praktische Sicherheit "The logic of secrecy was the mirror-image of the logic of information" Colin Burke, 1994 Perfekte Sicherheit wurde seit jeher gerne von den Erfindern von Chiffriersy stemen, im besonderen von Chiffriermaschinen, versprochen (Bazeries: je suis indechiffrable, 2.1.1 Abb. 19). Jedoch gab erst 1949 Claude E. Shannon eine saubere Definition davon, was mit perfekter Sicherheit gemeint sei; er gab sie im allgemeinen Rahmen seiner Informationstheorie. 1 Da der wahrschein lichkeitstheoretische Apparat, den sie benutzt, auBerhalb des Rahmens dieses Buches liegt, geben wir nur eine verkiirzte, dafiir aber axiomatische Ubersicht. A.I Axiome einer axiomatischen Informationstheorie Man geht zweckmaBigerweise aus von der Unsicherheit (engl. uncertainty, equivocation) iiber eine Menge X von Ereignissen, der "Entropie" von X - eine reelle Zahl . Auch Y und Z seien Mengen von Ereignissen. Hy(X) bezeichne die Unsicherheit iiber X, falls Y bekannt ist. A.I.1 Intuitiv einleuchtende Axiome fUr die zweistellige Mengenfunktion H sind: (0) 0::; Hy(X) ("Unsicherheit ist nichtnegativ") Fiir 0 = Hy(X) sagen wir "Y bestimmt eindeutig X." (1) Hyuz(X) ::;Hz(X) ("Unsicherheit nimmtnicht zu, wennmehr bekannt") Fiir Hyuz(X)=Hz(X) sagen wir "Y sagt nichts aus iiber X." Von entscheidender Bedeutung ist das Axiom (2) Hz(X U Y) = Hyuz(X) + Hz(Y) . ("Unsicherheit kann additiv iiber der Vereinigung von Ereignissen aufgebaut werden"). 1 Shannon hatte friihzeitig Beriihrung mit der Kryptanalysej er arbeitete 1936-1938 im Team von Vannevar Bush, der den COMPARATOR zur Bestimmung der Zeichen Koinzidenz entwickelte. Seine bis 1940 zuriickreichende Arbeit in den Bell Laboratories (vgl. 16.5) fiihrte zu einem vertraulichen Bericht (A Mathematical Theory of Communi cation) vom 1. -
Basic Cryptologic Glossary
REF ID:A64719 CONFIDEN't'IAL i\lodi6ed Ila11dli1rg /1atl101i2.ed 0 0 DO DO ODO DOD BASIC CRYPTOLOGIC GLOSSARY t I BBB NATIONAL SECU-RITY AGENCY Washington 25, D. C. 000-----------------------000 DOD ODO CONFIDENTIAL tleftifiefl Iland:ling ltttthot izcd Declassified and approved for release by NSA on 01-09-2014 pursuant to E. 0. 1352B '\ .,. ... I .,.,L.r <JONCUnJ:i:bN~ ·'·'· ,_Jj.,_ )1 o;ff. iH I 'I I -- ---·---· ------ I NAME OR TITLE INITIALS CIRCULATE ~. ...,_ F. r......:...1. ORGANIZATION AND LOCATION DATE COORDINATION 2 FILE INFORMATION 3 NECESSARY ACTION NOTE AND RETURN 4 SEE ME SIGNATURE REMARKS "-- _..,• ~ 41e ..... ~ .._....- -........ ~ ¥· ...... JlllCc. • .- ~ ..!., &. • ,,... e;r{..... ,,J.. .. • ~ ~(I- ~·• ·~:) I ... ""nlll .. s cc...: -a--- ~"" ~ ~.... """::>" .... ~ 9L ~ .. I; ..4:) A. ,,. -~ -:> ~ •- :x-: a,. .::l ..... - """$• c.. ..... .. c.ks -I .......l.•• ~ •-<,_a..,.,.. '"""" ..:_ ~ .. £.:.1 J- ::ail. • etr..-- f-!-A. ..:z:: ~. FROM NAllE OR TITLE .. DATE {/4?:.• .L- 2.,. ~ ~1 ORGANIZATION AND LOCATION TELEPHONE "'"l FORM 95 Replaoes ElA AGO Ferm 39!i, 1Apr4Q, and AFHQ 16-48467·4 GPO "k DD 1 FEB 511 Form 12, 10 Nov 47, which meiy be used. REF ID:A64719 - ------------ e6NFIBEN'fIAL Hedified Handling Aathodzed NATIONAL SECURITY AGENCY Washington 25, D. C. Basic Cryptologic Glossary Office of Training i 7 October 1955 REF ID:A64719 Cf>NFIBEN'f IAL 27 June 1955 LEITER OF PROMULGATION The wide field of activity of modern cryptology, together with the unusual nature of its highly technical operations, has given rise to a diverse and uncoordinated terminology. Certain terms, through long usage, have become more or less standard and generally acceptable while other terms hold different meanings in different areas. -
Solving Classical Ciphers with Cryptool 2
Solving Classical Ciphers with CrypTool 2 Nils Kopal Applied Information Security – University of Kassel Pfannkuchstr. 1, 34121 Kassel, Germany [email protected] Abstract torians. In such cases, cryptanalysts and image- processing experts are needed to support decipher- The difficulty of solving classical ciphers ing the books, thus, enabling the historians to con- varies between very easy and very hard. tinue their research. For example, monoalphabetic substitution The ciphers used in historical books (from ciphers can be solved easily by hand. the early antiquity over the Middle Ages to the More complex ciphers like the polyalpha- early modern times) include simple monoalpha- betic Vigenere` cipher, are harder to solve betic substitution and transposition ciphers, code- and the solution by hand takes much more books and homophone ciphers. time. Machine ciphers like the Enigma With the open-source tool CrypTool 2 (CT2) rotor machine, are nearly impossible to (Kopal et al., 2014) historians and cryptanalysts be solved only by hand. To support have a powerful tool for the analysis as well as researchers, cryptanalysts, and historians for the (automatic) decryption of encrypted texts. analyzing ciphers, the open-source soft- Throughout this paper, we present how CT2 can ware CrypTool 2 (CT2) was implemented. be used to actually break real world ciphertexts. It contains a broad set of tools and meth- The following parts of this paper are structured ods to automate the cryptanalysis of dif- as follows: The next section gives a short introduc- ferent (classical and modern) ciphers. In tion to classical ciphers, as well as an overview of this paper, we present a step-by-step ap- cryptanalysis. -
Anatomy of Failure
An Anatomy of Failure: Investigating the Reasons behind Failed Attempts to Decrypt the Voynich Manuscript through an Examination of the Decipherment of Linear B and of the Partial Decryption of Kryptos By Adam Lewis Page 1! of 43! Acknowledgements: Many thanks to George Erving, Tony Mullen, Adam Smith, Ti Allshouse, my friends in the Honors program, Sara, Deanne, and countless others without whom I couldn’t have gotten this far. Page 2! of 43! Table of Contents Table of Contents………………………………………………………………………3 I. Abstract………………………………………………………………………………4 II. Introduction…………………………………………………………………………5 1. What is the Voynich Manuscript?……………………………………………5 III. Features of the Voynich Manuscript…………..……………………………………5 IV. Other Codes…………………………………………………………………………8 1. The Decipherment of Linear B………………………………………………8 2. Kryptos………………………………………………………………………13 V. Investigations of the Manuscript……………………………………………………18 1. The Hoax Hypothesis………………………..………………………………18 2. An Amateur Attempt…………………………………………………………23 VI. Conclusion………………………………………………….………………………25 VII. Bibliography………………………………………………………………………27 VIII. End Notes…………………………………………………………………………29 Page 3! of 43! Abstract The Voynich Manuscript is a medieval manuscript whose creation dates back to the 15th century. The manuscript is written in an unknown script, and since its discovery there have been no successful attempts to decrypt it. This paper notes the peculiarities of the Voynich Manuscript and compares it cryptographically with Linear B and the CIA’s Kryptos monument. This paper examines the decipherment of Linear B and the partial decryption of the CIA’s Kryptos monument in order to discern what elements made those decryptions successful. There is not a large enough corpus of “Voynichese” text to perform any significant breakthroughs in translation, and there is evidence supporting the hypothesis that the Manuscript may be a hoax with no actual meaning contained within. -
Solving Cipher Secrets
SOLVING CIPHER SECRETS Edited by M. E. Ohaver "A CARRIER PIGEON FELL EXHAUSTED AT THEIR FEET." WHAT MESSAGE DOES IT BEAR. IN JULES VERNE'S IMMORTAL STORY? ILLE, n. A system of bars, posedly impossible, or at least materially especially of wrought iron, retarded. forming an open work bar• Thus the use of a grille, for instance, at rier, large or small, as a a window, or in preparing a cryptogram, is high fence inclosing a pub• for the purpose of preventing surreptitious lic building or across a pas• access to whatever lies beyond. And in this sageway, or the grating of a window. sense Webster's definition is as nicely suited {Webster.) to cryptography as to the intended meaning, This is the generally accepted meaning of since the grille is an open work barrier in the word grille. But to the cryptographer both cases. it takes on an added significance in that it Of grille ciphers there are many. The has been found convenient, because of a cer• invention of the original grille is attributed tain resemblance, to use the same term in to Jerome Cardan, the celebrated Italian designating the apparatus used in accom• physician and mathematician of the six• plishing certain types of ciphers. teenth century. And the simple grille de• The grille of cryptography, also com• scribed in this author's works will be treat• monly called a lattice or grating, is made ed in some detail in a later article. from any suitable flat material, as metallic An ingenious cipher derived from the plate, parchment, cardboard, or even paper, grille is said to have been used by the Ger• pierced with openings. -
Baconian-Rosicrucian Ciphers
Baconian-Rosicrucian Ciphers An introduction to the cryptography used by Francis Bacon and the Rosicrucian-Freemasonic fraternity. Author: Peter Dawkins Cipher was extremely important to Francis Bacon. Not only did he regard mathematics (i.e. number and geometry) as a vitally important and metaphysical science, and one of the essential forms of things,1 but he also considered that Allusive or Parabolical Poesie, using fables, parables and symbolism, was “a sacred and venerable thing, especially seeing Religion itself hath allowed it a work of that nature, and by it traffics divine commodities with men,” and in addition was essential to veil the secrets and mysteries of religion, policy and philosophy from eyes unfit or unready to see them.2 Like the Platonists and Kabbalists before him, Bacon saw nature, and the underlying ‘forms’ of nature (i.e. their geometry, proportion, numerology and signature), as symbols of spiritual truths. Francis Bacon made use of several different kinds and types of cipher, some of them to sign various published works issued outwardly under different names or pseudonyms, some of them to give signposts, messages or teachings, some of them to provide geometric constructions (such as a Masonic square and compasses signature or a compass rose providing map directions), and some of them being a method by means of which to analyse and raise consciousness, and ultimately to know the metaphysical laws and intelligencies of the universe. Francis himself was a secretive person both by choice and by necessity. He learnt the use of ciphers early in his youth, first of all from his mother, Lady Ann Bacon, who used cipher in her literary works as well as letters, and later when he was employed by Lord Burghley and Sir Francis Walsingham on intelligence matters both at home and abroad.