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The Design of Rijndael: AES - the Advanced Encryption Standard/Joan Daemen, Vincent Rijmen
Joan Daernen · Vincent Rijrnen Theof Design Rijndael AES - The Advanced Encryption Standard With 48 Figures and 17 Tables Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Springer TnL-1Jn Joan Daemen Foreword Proton World International (PWI) Zweefvliegtuigstraat 10 1130 Brussels, Belgium Vincent Rijmen Cryptomathic NV Lei Sa 3000 Leuven, Belgium Rijndael was the surprise winner of the contest for the new Advanced En cryption Standard (AES) for the United States. This contest was organized and run by the National Institute for Standards and Technology (NIST) be ginning in January 1997; Rij ndael was announced as the winner in October 2000. It was the "surprise winner" because many observers (and even some participants) expressed scepticism that the U.S. government would adopt as Library of Congress Cataloging-in-Publication Data an encryption standard any algorithm that was not designed by U.S. citizens. Daemen, Joan, 1965- Yet NIST ran an open, international, selection process that should serve The design of Rijndael: AES - The Advanced Encryption Standard/Joan Daemen, Vincent Rijmen. as model for other standards organizations. For example, NIST held their p.cm. Includes bibliographical references and index. 1999 AES meeting in Rome, Italy. The five finalist algorithms were designed ISBN 3540425802 (alk. paper) . .. by teams from all over the world. 1. Computer security - Passwords. 2. Data encryption (Computer sCIence) I. RIJmen, In the end, the elegance, efficiency, security, and principled design of Vincent, 1970- II. Title Rijndael won the day for its two Belgian designers, Joan Daemen and Vincent QA76.9.A25 D32 2001 Rijmen, over the competing finalist designs from RSA, IBl\!I, Counterpane 2001049851 005.8-dc21 Systems, and an English/Israeli/Danish team. -
Chapter 3 – Block Ciphers and the Data Encryption Standard
Chapter 3 –Block Ciphers and the Data Cryptography and Network Encryption Standard Security All the afternoon Mungo had been working on Stern's Chapter 3 code, principally with the aid of the latest messages which he had copied down at the Nevin Square drop. Stern was very confident. He must be well aware London Central knew about that drop. It was obvious Fifth Edition that they didn't care how often Mungo read their messages, so confident were they in the by William Stallings impenetrability of the code. —Talking to Strange Men, Ruth Rendell Lecture slides by Lawrie Brown Modern Block Ciphers Block vs Stream Ciphers now look at modern block ciphers • block ciphers process messages in blocks, each one of the most widely used types of of which is then en/decrypted cryptographic algorithms • like a substitution on very big characters provide secrecy /hii/authentication services – 64‐bits or more focus on DES (Data Encryption Standard) • stream ciphers process messages a bit or byte at a time when en/decrypting to illustrate block cipher design principles • many current ciphers are block ciphers – better analysed – broader range of applications Block vs Stream Ciphers Block Cipher Principles • most symmetric block ciphers are based on a Feistel Cipher Structure • needed since must be able to decrypt ciphertext to recover messages efficiently • bloc k cihiphers lklook like an extremely large substitution • would need table of 264 entries for a 64‐bit block • instead create from smaller building blocks • using idea of a product cipher 1 Claude -
Analysis of Selected Block Cipher Modes for Authenticated Encryption
Analysis of Selected Block Cipher Modes for Authenticated Encryption by Hassan Musallam Ahmed Qahur Al Mahri Bachelor of Engineering (Computer Systems and Networks) (Sultan Qaboos University) – 2007 Thesis submitted in fulfilment of the requirement for the degree of Doctor of Philosophy School of Electrical Engineering and Computer Science Science and Engineering Faculty Queensland University of Technology 2018 Keywords Authenticated encryption, AE, AEAD, ++AE, AEZ, block cipher, CAESAR, confidentiality, COPA, differential fault analysis, differential power analysis, ElmD, fault attack, forgery attack, integrity assurance, leakage resilience, modes of op- eration, OCB, OTR, SHELL, side channel attack, statistical fault analysis, sym- metric encryption, tweakable block cipher, XE, XEX. i ii Abstract Cryptography assures information security through different functionalities, es- pecially confidentiality and integrity assurance. According to Menezes et al. [1], confidentiality means the process of assuring that no one could interpret infor- mation, except authorised parties, while data integrity is an assurance that any unauthorised alterations to a message content will be detected. One possible ap- proach to ensure confidentiality and data integrity is to use two different schemes where one scheme provides confidentiality and the other provides integrity as- surance. A more compact approach is to use schemes, called Authenticated En- cryption (AE) schemes, that simultaneously provide confidentiality and integrity assurance for a message. AE can be constructed using different mechanisms, and the most common construction is to use block cipher modes, which is our focus in this thesis. AE schemes have been used in a wide range of applications, and defined by standardisation organizations. The National Institute of Standards and Technol- ogy (NIST) recommended two AE block cipher modes CCM [2] and GCM [3]. -
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. -
Block Ciphers
Block Ciphers Chester Rebeiro IIT Madras CR STINSON : chapters 3 Block Cipher KE KD untrusted communication link Alice E D Bob #%AR3Xf34^$ “Attack at Dawn!!” message encryption (ciphertext) decryption “Attack at Dawn!!” Encryption key is the same as the decryption key (KE = K D) CR 2 Block Cipher : Encryption Key Length Secret Key Plaintext Ciphertext Block Cipher (Encryption) Block Length • A block cipher encryption algorithm encrypts n bits of plaintext at a time • May need to pad the plaintext if necessary • y = ek(x) CR 3 Block Cipher : Decryption Key Length Secret Key Ciphertext Plaintext Block Cipher (Decryption) Block Length • A block cipher decryption algorithm recovers the plaintext from the ciphertext. • x = dk(y) CR 4 Inside the Block Cipher PlaintextBlock (an iterative cipher) Key Whitening Round 1 key1 Round 2 key2 Round 3 key3 Round n keyn Ciphertext Block • Each round has the same endomorphic cryptosystem, which takes a key and produces an intermediate ouput • Size of the key is huge… much larger than the block size. CR 5 Inside the Block Cipher (the key schedule) PlaintextBlock Secret Key Key Whitening Round 1 Round Key 1 Round 2 Round Key 2 Round 3 Round Key 3 Key Expansion Expansion Key Key Round n Round Key n Ciphertext Block • A single secret key of fixed size used to generate ‘round keys’ for each round CR 6 Inside the Round Function Round Input • Add Round key : Add Round Key Mixing operation between the round input and the round key. typically, an ex-or operation Confusion Layer • Confusion layer : Makes the relationship between round Diffusion Layer input and output complex. -
Development of the Advanced Encryption Standard
Volume 126, Article No. 126024 (2021) https://doi.org/10.6028/jres.126.024 Journal of Research of the National Institute of Standards and Technology Development of the Advanced Encryption Standard Miles E. Smid Formerly: Computer Security Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, USA [email protected] Strong cryptographic algorithms are essential for the protection of stored and transmitted data throughout the world. This publication discusses the development of Federal Information Processing Standards Publication (FIPS) 197, which specifies a cryptographic algorithm known as the Advanced Encryption Standard (AES). The AES was the result of a cooperative multiyear effort involving the U.S. government, industry, and the academic community. Several difficult problems that had to be resolved during the standard’s development are discussed, and the eventual solutions are presented. The author writes from his viewpoint as former leader of the Security Technology Group and later as acting director of the Computer Security Division at the National Institute of Standards and Technology, where he was responsible for the AES development. Key words: Advanced Encryption Standard (AES); consensus process; cryptography; Data Encryption Standard (DES); security requirements, SKIPJACK. Accepted: June 18, 2021 Published: August 16, 2021; Current Version: August 23, 2021 This article was sponsored by James Foti, Computer Security Division, Information Technology Laboratory, National Institute of Standards and Technology (NIST). The views expressed represent those of the author and not necessarily those of NIST. https://doi.org/10.6028/jres.126.024 1. Introduction In the late 1990s, the National Institute of Standards and Technology (NIST) was about to decide if it was going to specify a new cryptographic algorithm standard for the protection of U.S. -
Rotational Cryptanalysis of ARX
Rotational Cryptanalysis of ARX Dmitry Khovratovich and Ivica Nikoli´c University of Luxembourg [email protected], [email protected] Abstract. In this paper we analyze the security of systems based on modular additions, rotations, and XORs (ARX systems). We provide both theoretical support for their security and practical cryptanalysis of real ARX primitives. We use a technique called rotational cryptanalysis, that is universal for the ARX systems and is quite efficient. We illustrate the method with the best known attack on reduced versions of the block cipher Threefish (the core of Skein). Additionally, we prove that ARX with constants are functionally complete, i.e. any function can be realized with these operations. Keywords: ARX, cryptanalysis, rotational cryptanalysis. 1 Introduction A huge number of symmetric primitives using modular additions, bitwise XORs, and intraword rotations have appeared in the last 20 years. The most famous are the hash functions from MD-family (MD4, MD5) and their descendants SHA-x. While modular addition is often approximated with XOR, for random inputs these operations are quite different. Addition provides diffusion and nonlinearity, while XOR does not. Although the diffusion is relatively slow, it is compensated by a low price of addition in both software and hardware, so primitives with relatively high number of additions (tens per byte) are still fast. The intraword rotation removes disbalance between left and right bits (introduced by the ad- dition) and speeds up the diffusion. Many recently design primitives use only XOR, addition, and rotation so they are grouped into a single family ARX (Addition-Rotation-XOR). -
Chapter 3 – Block Ciphers and the Data Encryption Standard
Symmetric Cryptography Chapter 6 Block vs Stream Ciphers • Block ciphers process messages into blocks, each of which is then en/decrypted – Like a substitution on very big characters • 64-bits or more • Stream ciphers process messages a bit or byte at a time when en/decrypting – Many current ciphers are block ciphers • Better analyzed. • Broader range of applications. Block vs Stream Ciphers Block Cipher Principles • Block ciphers look like an extremely large substitution • Would need table of 264 entries for a 64-bit block • Arbitrary reversible substitution cipher for a large block size is not practical – 64-bit general substitution block cipher, key size 264! • Most symmetric block ciphers are based on a Feistel Cipher Structure • Needed since must be able to decrypt ciphertext to recover messages efficiently Ideal Block Cipher Substitution-Permutation Ciphers • in 1949 Shannon introduced idea of substitution- permutation (S-P) networks – modern substitution-transposition product cipher • These form the basis of modern block ciphers • S-P networks are based on the two primitive cryptographic operations we have seen before: – substitution (S-box) – permutation (P-box) (transposition) • Provide confusion and diffusion of message Diffusion and Confusion • Introduced by Claude Shannon to thwart cryptanalysis based on statistical analysis – Assume the attacker has some knowledge of the statistical characteristics of the plaintext • Cipher needs to completely obscure statistical properties of original message • A one-time pad does this Diffusion -
MERGING+ANUBIS User Manual
USER MANUAL V27.09.2021 2 Contents Thank you for purchasing MERGING+ANUBIS ........................................................................................... 6 Important Safety and Installation Instructions ........................................................................................... 7 Product Regulatory Compliance .................................................................................................................... 9 MERGING+ANUBIS Warranty Information................................................................................................ 11 INTRODUCTION .............................................................................................................................................. 12 Package Content ........................................................................................................................................ 12 OVERVIEW ................................................................................................................................................... 13 MERGING+ANUBIS VARIANTS AND KEY FEATURES ........................................................................ 13 ABOUT RAVENNA ...................................................................................................................................... 16 MISSION CONTROL - MODULAR BY SOFTWARE ............................................................................... 16 MERGING+ANUBIS panels description .................................................................................................... -
The EAX Mode of Operation
A preliminary version of this papers appears in Fast Software Encryption ’04, Lecture Notes in Computer Science, vol. ?? , R. Bimal and W. Meier ed., Springer-Verlag, 2004. This is the full version. The EAX Mode of Operation (A Two-Pass Authenticated-Encryption Scheme Optimized for Simplicity and Efficiency) ∗ † ‡ M. BELLARE P. ROGAWAY D. WAGNER January 18, 2004 Abstract We propose a block-cipher mode of operation, EAX, for solving the problem of authenticated-encryption with associated-data (AEAD). Given a nonce N, a message M, and a header H, our mode protects the privacy of M and the authenticity of both M and H. Strings N, M, and H are arbitrary bit strings, and the mode uses 2|M|/n + |H|/n + |N|/n block-cipher calls when these strings are nonempty and n is the block length of the underlying block cipher. Among EAX’s characteristics are that it is on-line (the length of a message isn’t needed to begin processing it) and a fixed header can be pre-processed, effectively removing the per-message cost of binding it to the ciphertext. EAX is obtained by first creating a generic-composition method, EAX2, and then collapsing its two keys into one. EAX is provably secure under a standard complexity-theoretic assumption. The proof of this fact is novel and involved. EAX is an alternative to CCM [26], which was created to answer the wish within standards bodies for a fully-specified and patent-free AEAD mode. As such, CCM and EAX are two-pass schemes, with one pass for achieving privacy and one for authenticity. -
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 -
Mcoe: a Family of Almost Foolproof On-Line Authenticated Encryption Schemes
McOE: A Family of Almost Foolproof On-Line Authenticated Encryption Schemes Ewan Fleischmann Christian Forler Stefan Lucks Bauhaus-Universit¨atWeimar FSE 2012 Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {1{ Overview Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {2{ 1. Motivation I Goldwasser and Micali (1984): requirement: given 2 ciphertexts, adversary cannot even detect when the same plaintext has been encrypted twice consequence: encryption stateful or probabilitistic (or both) I Rogaway (FSE 2004): formalizes state/randomness by nonces Plaintext Header Key Nonce 01 02 03 ... Ciphertext Authentication Tag Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {3{ Authenticated Encryption I first studied by Katz and Young (FSE 2000) and Bellare and Namprempre (Asiacrypt 2000) I since then many proposed schemes, I nonce based, Plaintext Header Key Nonce I and proven secure assuming a \nonce-respecting01 02 03 ... adversary" I any implementation allowing a nonce reuse is not our problem . but maybe it shouldCiphertext Authentication Tag Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {4{ Nonce Reuse in Practice I IEEE 802.11 [Borisov, Goldberg, Wagner 2001] I PS3 [Hotz 2010] I WinZip Encryption [Kohno 2004] I RC4 in MS Word and Excel [Wu 2005] I ... application programmer other issues: mistakes: I restoring a file from a backup I cloning the virtual machine the application runs on I ... Fleischmann, Forler, Lucks. FSE 2012. McOE: A Family . {5{ Nonce Reuse { what to Expect? our reasonable (?) expectations I some plaintext information leaks: I identical plaintexts I common prefixes I ect. I but not too much damage: 1. authentication not affected 2.