Cryptographic Techniques
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Codebusters Coaches Institute Notes
BEING COVER AGENT FIXED DELAY, PILOT RIGHT PLANE, CATCH SMALL RADIO (CODEBUSTERS) This is the first year CodeBusters will be a National event. A few changes have been made since the North Carolina trial event last year. 1. The Atbash Cipher has been added. 2. The running key cipher has been removed. 3. K2 alphabets have been added in addition to K1 alphabets 4. Hill Cipher decryption has been added with a given decryption matrix. 5. The points scale has been doubled, but the timing bonus has been increased by only 50% in order to further balance the test. 1 TYPES OF PROBLEMS 1.1 ARISTOCRAT (EASY TO HARD DIFFICULTY) http://www.cryptograms.org/tutorial.php An Aristocrat is the typical Crypto-quote you see in the newspaper. Word spaces are preserved. No letter will stand for itself and the replacement table is given as a guide (but doesn’t need to be filled in by the team to get credit). FXP PGYAPYF FIKP ME JAKXPT AY FXP GTAYFMJTGF THE EASIEST TYPE OF CIPHER IS THE ARISTOCRAT A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Frequency 4 1 6 3 1 2 2 2 6 3 3 4 Replacement I F T A Y C P O E R H S 1.2 ARISTOCRATS WITH SPELLING AND/OR GRAMMAR ERRORS (MEDIUM TO VERY HARD DIFFICULTY) For these, either words will be misspelled or grammatical errors introduced. From a student perspective, it is what they might expect when someone finger fumbles a text message or has a bad voice transcription. -
Poet Admits // Mute Cypher: Beam Search to Find Mutually Enciphering
Poet Admits // Mute Cypher: Beam Search to find Mutually Enciphering Poetic Texts Cole Peterson and Alona Fyshe University of Victoria [email protected], [email protected] Abstract other English poem. In a sense, Bok¨ not only turns a microbe into a genetic book, he also engineers The Xenotext Experiment implants poetry into the microbe to be, in a sense, a poet. The organ- an extremophile’s DNA, and uses that DNA to generate new poetry in a protein form. ism’s molecular machinery powers this translation The molecular machinery of life requires that between the two texts, which, at a high level, is a these two poems encipher each other un- symmetric substitution cipher between the letters, der a symmetric substitution cipher. We and is described in more detail in Section 2. The search for ciphers which permit writing under two poems (the poet’s and the organism’s) must both the Xenotext constraints, incorporating ideas play by the rules we refer to as the Xenotext Con- from cipher-cracking algorithms, and using straints: n-gram data to assess a cipher’s “writabil- ity”. Our algorithm, Beam Verse, is a beam Each text is valid natural language. search which uses new heuristics to navigate • the cipher-space. We find thousands of ci- phers which score higher than successful ci- The substitution cipher function applied to one • phers used to write Xenotext constrained texts. text, results in the other text, and vice versa. In other words, the cipher function must be sym- 1 Introduction metric. For over a decade, poet Christian Bok¨ has been Whitespace characters (space, new line) enci- • working on The Xenotext (Bok,¨ 2008), a literary ex- pher themselves, and are the only characters al- periment which aims to insert poetry into the DNA lowed identity mappings. -
The Mathemathics of Secrets.Pdf
THE MATHEMATICS OF SECRETS THE MATHEMATICS OF SECRETS CRYPTOGRAPHY FROM CAESAR CIPHERS TO DIGITAL ENCRYPTION JOSHUA HOLDEN PRINCETON UNIVERSITY PRESS PRINCETON AND OXFORD Copyright c 2017 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TR press.princeton.edu Jacket image courtesy of Shutterstock; design by Lorraine Betz Doneker All Rights Reserved Library of Congress Cataloging-in-Publication Data Names: Holden, Joshua, 1970– author. Title: The mathematics of secrets : cryptography from Caesar ciphers to digital encryption / Joshua Holden. Description: Princeton : Princeton University Press, [2017] | Includes bibliographical references and index. Identifiers: LCCN 2016014840 | ISBN 9780691141756 (hardcover : alk. paper) Subjects: LCSH: Cryptography—Mathematics. | Ciphers. | Computer security. Classification: LCC Z103 .H664 2017 | DDC 005.8/2—dc23 LC record available at https://lccn.loc.gov/2016014840 British Library Cataloging-in-Publication Data is available This book has been composed in Linux Libertine Printed on acid-free paper. ∞ Printed in the United States of America 13579108642 To Lana and Richard for their love and support CONTENTS Preface xi Acknowledgments xiii Introduction to Ciphers and Substitution 1 1.1 Alice and Bob and Carl and Julius: Terminology and Caesar Cipher 1 1.2 The Key to the Matter: Generalizing the Caesar Cipher 4 1.3 Multiplicative Ciphers 6 -
CS 241 Data Organization Ciphers
CS 241 Data Organization Ciphers March 22, 2018 Cipher • In cryptography, a cipher (or cypher) is an algorithm for performing encryption or decryption. • When using a cipher, the original information is known as plaintext, and the encrypted form as ciphertext. • The encrypting procedure of the cipher usually depends on a piece of auxiliary information, called a key. • A key must be selected before using a cipher to encrypt a message. • Without knowledge of the key, it should be difficult, if not nearly impossible, to decrypt the resulting ciphertext into readable plaintext. Substitution Cipher • In cryptography, a substitution cipher is a method of encryption by which units of plaintext are replaced with ciphertext according to a regular system. • Example: case insensitive substitution cipher using a shifted alphabet with keyword "zebras": • Plaintext alphabet: ABCDEFGHIJKLMNOPQRSTUVWXYZ • Ciphertext alphabet: ZEBRASCDFGHIJKLMNOPQTUVWXY flee at once. we are discovered! Enciphers to SIAA ZQ LKBA. VA ZOA RFPBLUAOAR! Other substitution ciphers Caesar cipher Shift alphabet by fixed amount. (Caesar apparently used 3.) ROT13 Replace letters with those 13 away. Used to hide spoilers on newsgroups. pigpen cipher Replace letters with symbols. Substitution Cipher: Encipher Example OENp(ENTE#X@EN#zNp(ENCL]pEnN7p-pE;8N]LN} dnEdNp#Nz#duN-Nu#dENXEdzE9pNCL]#L8NE;p-b @];(N0G;p]9E8N]L;GdENn#uE;p]9Nld-L/G]@]p _8NXd#|]nENz#dNp(EN9#uu#LNnEzEL;E8NXd#u# pENp(ENQELEd-@NOE@z-dE8N-LnN;E9GdENp(EN^ @E;;]LQ;N#zN<]bEdp_Np#N#Gd;E@|E;N-LnN#Gd NT#;pEd]p_8Nn#N#dn-]LN-LnNE;p-b@];(Np(]; N5#L;p]pGp]#LNz#dNp(ENCL]pEnN7p-pE;N#zN) uEd]9-D Breaking a Substitution Cipher In English, • The most common character is the space: \ ". -
Steganography: Steganography Is a Type of Secret Communication Where the Existence of a Message Is Concealed
Steganography: Steganography is a type of secret communication where the existence of a message is concealed. You can remember this by looking at the two parts of the word “stegano – graphy.” Both parts are of Greek origin. The Greek word steganos means “covered,” and the Greek word graphein means “to write.” Thus, a literal translation of steganography could be “covered writing.” The most simple form of steganography is hiding messages and images within larger pictures, such as the hidden symbols that can be found in the US dollar bill (can you find the spiders?). There are several different forms of steganography: Invisible Inks: Even in ancient times, invisible inks were used to hide messages. One example is using lemon juice on off-white parchment; only by holding the parchment up to a light will you be able to see the secret message: Music Cipher: In this method, notes on a scale correspond with letters in the alphabet. The message can be communicated through sheet music, or actual sound. Null Cipher: A null cipher is a type of hidden message where the real message is “camouflaged” in an innocent sounding message. A famous example of a null cipher is one sent by a German Spy in WWII: Apparently neutral’s protest is thoroughly discounted and ignored. Isman hit hard. Blockade issue affects pretext for embargo on by products, ejecting suets and vegetable oils. Taking the second letter in each word the following message emerges: Pershing sails from NY June 1. Digital Images: This fairly new method of steganography exploits the properties of digital images to hide messages. -
Loads of Codes – Cryptography Activities for the Classroom
Loads of Codes – Cryptography Activities for the Classroom Paul Kelley Anoka High School Anoka, Minnesota In the next 90 minutes, we’ll look at cryptosystems: Caesar cipher St. Cyr cipher Tie-ins with algebra Frequency distribution Vigenere cipher Cryptosystem – an algorithm (or series of algorithms) needed to implement encryption and decryption. For our purposes, the words encrypt and encipher will be used interchangeably, as will decrypt and decipher. The idea behind all this is that you want some message to get somewhere in a secure fashion, without being intercepted by “the bad guys.” Code – a substitution at the level of words or phrases Cipher – a substitution at the level of letters or symbols However, I think “Loads of Codes” sounds much cooler than “Loads of Ciphers.” Blackmail = King = Today = Capture = Prince = Tonight = Protect = Minister = Tomorrow = Capture King Tomorrow Plaintext: the letter before encryption Ciphertext: the letter after encryption Rail Fence Cipher – an example of a “transposition cipher,” one which doesn’t change any letters when enciphered. Example: Encipher “DO NOT DELAY IN ESCAPING,” using a rail fence cipher. You would send: DNTEAIECPN OODLYNSAIG Null cipher – not the entire message is meaningful. My aunt is not supposed to read every epistle tonight. BXMT SSESSBW POE ILTWQS RIA QBTNMAAD OPMNIKQT RMI MNDLJ ALNN BRIGH PIG ORHD LLTYQ BXMT SSESSBW POE ILTWQS RIA QBTNMAAD OPMNIKQT RMI MNDLJ ALNN BRIGH PIG ORHD LLTYQ Anagram – use the letters of one word, phrase or sentence to form a different one. Example: “Meet behind the castle” becomes “These belched a mitten.” Substitution cipher – one in which the letters change during encryption. -
Substitution Ciphers
Foundations of Computer Security Lecture 40: Substitution Ciphers Dr. Bill Young Department of Computer Sciences University of Texas at Austin Lecture 40: 1 Substitution Ciphers Substitution Ciphers A substitution cipher is one in which each symbol of the plaintext is exchanged for another symbol. If this is done uniformly this is called a monoalphabetic cipher or simple substitution cipher. If different substitutions are made depending on where in the plaintext the symbol occurs, this is called a polyalphabetic substitution. Lecture 40: 2 Substitution Ciphers Simple Substitution A simple substitution cipher is an injection (1-1 mapping) of the alphabet into itself or another alphabet. What is the key? A simple substitution is breakable; we could try all k! mappings from the plaintext to ciphertext alphabets. That’s usually not necessary. Redundancies in the plaintext (letter frequencies, digrams, etc.) are reflected in the ciphertext. Not all substitution ciphers are simple substitution ciphers. Lecture 40: 3 Substitution Ciphers Caesar Cipher The Caesar Cipher is a monoalphabetic cipher in which each letter is replaced in the encryption by another letter a fixed “distance” away in the alphabet. For example, A is replaced by C, B by D, ..., Y by A, Z by B, etc. What is the key? What is the size of the keyspace? Is the algorithm strong? Lecture 40: 4 Substitution Ciphers Vigen`ere Cipher The Vigen`ere Cipher is an example of a polyalphabetic cipher, sometimes called a running key cipher because the key is another text. Start with a key string: “monitors to go to the bathroom” and a plaintext to encrypt: “four score and seven years ago.” Align the two texts, possibly removing spaces: plaintext: fours corea ndsev enyea rsago key: monit orsto gotot hebat hroom ciphertext: rcizl qfkxo trlso lrzet yjoua Then use the letter pairs to look up an encryption in a table (called a Vigen`ere Tableau or tabula recta). -
ISA 562 Information Security Theory & Practice
ISA 562 Information Security Theory & Practice Introduction to Cryptography Agenda • Basics & Definitions • Classical Cryptography • Symmetric (Secret Key) Cryptography • DES (Data Encryption Standard) • Multiple Encryptions • Modes of Block Cipher Operations • Math Essential • Asymmetric (Public Key) Cryptography 2 1 Basics & Definitions Security Concepts (I) • Confidentiality – Prevent information from being exposed to unintended party – Ex: An employee should not come to know the salary of his manager • Integrity – Assure that the information has not been tempered – Ex: An employee should not be able to modify the employee's own salary • Identity – Assure that the party of concern is authentic - it is what it claims to be – Ex: An employee should be able to uniquely identify and authenticate himself/herself 4 2 Security Concepts (II) • Availability – Assure that unused service or resource is available to legitimate users – Ex: Paychecks should be printed on time as stipulated by law • Anonymity – Assure that the identity of some party is remain anonymous – Ex: The manager should not know who had a critical review of him • Non-Repudiation – Assure that authenticated party has indeed done something that cannot be denied – Ex: Once the employee has cashed his paycheck, he can’t deny it. 5 Cryptography • Crypt = secret • Graph = writing • Cryptography is the science / art of transforming meaningful information into unintelligible text Becoming a science that relies on mathematics (number theory, algebra) • Cryptanalysis is the science / art of breaking cryptographic codes • Cryptology is the science / art / study of both cryptography and cryptanalysis 6 3 Applications of Cryptography • Assuring document integrity • Assuring document confidentiality • Authenticating parties • Document signature • Non-repudiation • Secure transactions • Exchanging keys • Sharing Secrets • Digital cash • Preserving anonymity • Copyright protection • More . -
Cryptology: an Historical Introduction DRAFT
Cryptology: An Historical Introduction DRAFT Jim Sauerberg February 5, 2013 2 Copyright 2013 All rights reserved Jim Sauerberg Saint Mary's College Contents List of Figures 8 1 Caesar Ciphers 9 1.1 Saint Cyr Slide . 12 1.2 Running Down the Alphabet . 14 1.3 Frequency Analysis . 15 1.4 Linquist's Method . 20 1.5 Summary . 22 1.6 Topics and Techniques . 22 1.7 Exercises . 23 2 Cryptologic Terms 29 3 The Introduction of Numbers 31 3.1 The Remainder Operator . 33 3.2 Modular Arithmetic . 38 3.3 Decimation Ciphers . 40 3.4 Deciphering Decimation Ciphers . 42 3.5 Multiplication vs. Addition . 44 3.6 Koblitz's Kid-RSA and Public Key Codes . 44 3.7 Summary . 48 3.8 Topics and Techniques . 48 3.9 Exercises . 49 4 The Euclidean Algorithm 55 4.1 Linear Ciphers . 55 4.2 GCD's and the Euclidean Algorithm . 56 4.3 Multiplicative Inverses . 59 4.4 Deciphering Decimation and Linear Ciphers . 63 4.5 Breaking Decimation and Linear Ciphers . 65 4.6 Summary . 67 4.7 Topics and Techniques . 67 4.8 Exercises . 68 3 4 CONTENTS 5 Monoalphabetic Ciphers 71 5.1 Keyword Ciphers . 72 5.2 Keyword Mixed Ciphers . 73 5.3 Keyword Transposed Ciphers . 74 5.4 Interrupted Keyword Ciphers . 75 5.5 Frequency Counts and Exhaustion . 76 5.6 Basic Letter Characteristics . 77 5.7 Aristocrats . 78 5.8 Summary . 80 5.9 Topics and Techniques . 81 5.10 Exercises . 81 6 Decrypting Monoalphabetic Ciphers 89 6.1 Letter Interactions . 90 6.2 Decrypting Monoalphabetic Ciphers . -
SOLVING CIPHER SECRETS Edited by M
SOLVING CIPHER SECRETS Edited by M. E. Ghaver INTERESTED FANS SEND IN SOME LIVELY CHAT-AND SEVERAL NEW PUZZLERS ARE OFFERED FOR HUNGRY HEADS ID you ever have trouble in occasionally, notwithstanding our combined solving some particular efforts to the contrary. cipher? And did you ever This, by way of introduction, fans, to a feel like running the party sort of " get-together " celebration that we ragged that contrived the have planned in this article. affair? It's just this way. So much has been Well, that's how Frank Spalding, of received from cipher enthusiasts in the way Wrangell, Alaska, must have felt about the of interesting questions, general comments, cipher of Foster F. V. Staples, in the June ciphers, and methods of solving them, that 6 " Solving Cipher Secrets." the only adequate way to cope with the sit• " If I could have caught him last night— uation, and thus to discharge this duty to June 7," writes Mr. Spalding, " he would our readers, is for us all to get together in have had to do some tall explaining." an entire article devoted to that purpose. Nevertheless, Mr. Spalding succeeded in So let's pull up our chairs and talk things solving this cipher, as well as all the others over. It may be that your particular ques• in that issue, although he confesses that tion will not crop up. Btit in that event when he had finished the lot he was " not a you will find another case that covers the good Christian any more!" same ground more completely. -
Crypyto Documentation Release 0.2.0
crypyto Documentation Release 0.2.0 Yan Orestes Aug 22, 2018 API Documentation 1 Getting Started 3 1.1 Dependencies...............................................3 1.2 Installing.................................................3 2 Ciphers 5 2.1 Polybius Square.............................................5 2.2 Atbash..................................................6 2.3 Caesar Cipher..............................................7 2.4 ROT13..................................................8 2.5 Affine Cipher...............................................9 2.6 Rail Fence Cipher............................................9 2.7 Keyword Cipher............................................. 10 2.8 Vigenère Cipher............................................. 11 2.9 Beaufort Cipher............................................. 12 2.10 Gronsfeld Cipher............................................. 13 3 Substitution Alphabets 15 3.1 Morse Code............................................... 15 3.2 Binary Translation............................................ 16 3.3 Pigpen Cipher.............................................. 16 3.4 Templar Cipher.............................................. 18 3.5 Betamaze Alphabet............................................ 19 Python Module Index 21 i ii crypyto Documentation, Release 0.2.0 crypyto is a Python package that provides a set of cryptographic tools with simple use to your applications. API Documentation 1 crypyto Documentation, Release 0.2.0 2 API Documentation CHAPTER 1 Getting Started These instructions -
Cryptography
Cryptography Well, a gentle intro to cryptography. Actually, a fairly “hand-wavy” intro to crypto (we’ll discuss why) Fall 2018 CS 334: Computer Security 1 Special Thanks: to our friends at the Australian Defense Force Academy for providing the basis for these slides Fall 2018 CS 334: Computer Security 2 Definition • Cryptology is the study of secret writing • Concerned with developing algorithms which may be used: – To conceal the content of some message from all except the sender and recipient (privacy or secrecy), and/or – Verify the correctness of a message to the recipient (authentication or integrity) • The basis of many technological solutions to computer and communication security problems Fall 2018 CS 334: Computer Security 3 Terminology • Cryptography: The art or science encompassing the principles and methods of transforming an intelligible message into one that is unintelligible, and then retransforming that message back to its original form • Plaintext: The original intelligible message • Ciphertext: The transformed message • Cipher: An algorithm for transforming an intelligible message into one that is unintelligible Fall 2018 CS 334: Computer Security 4 Terminology (cont). • Key: Some critical information used by the cipher, known only to the sender & receiver – Or perhaps only known to one or the other • Encrypt: The process of converting plaintext to ciphertext using a cipher and a key • Decrypt: The process of converting ciphertext back into plaintext using a cipher and a key • Cryptanalysis: The study of principles