Applied Cryptography Protocols, Algorithms, and Source Code in C
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25 Years of Linear Cryptanalysis -Early History and Path Search Algorithm
25 Years of Linear Cryptanalysis -Early History and Path Search Algorithm- Asiacrypt 2018, December 3 2018 Mitsuru Matsui © Mitsubishi Electric Corporation Back to 1990… 2 © Mitsubishi Electric Corporation FEAL (Fast data Encipherment ALgorithm) • Designed by Miyaguchi and Shimizu (NTT). • 64-bit block cipher family with the Feistel structure. • 4 rounds (1987) • 8 rounds (1988) • N rounds(1990) N=32 recommended • Key size is 64 bits (later extended to 128 bits). • Optimized for 8-bit microprocessors (no lookup tables). • First commercially successful cipher in Japan. • Inspired many new ideas, including linear cryptanalysis. 3 © Mitsubishi Electric Corporation FEAL-NX Algorithm [Miyaguchi 90] subkey 4 © Mitsubishi Electric Corporation The Round Function of FEAL 2-byte subkey Linear Relations 푌 2 = 푋1 0 ⊕ 푋2 0 푌 2 = 푋1 0 ⊕ 푋2 0 ⊕ 1 (푁표푡푎푡푖표푛: 푌 푖 = 푖-푡ℎ 푏푖푡 표푓 푌) 5 © Mitsubishi Electric Corporation Linear Relations of the Round Function Linear Relations 푂 16,26 ⊕ 퐼 24 = 퐾 24 K 푂 18 ⊕ 퐼 0,8,16,24 = 퐾 8,16 ⊕ 1 푂 10,16 ⊕ 퐼 0,8 = 퐾 8 S 0 푂 2,8 ⊕ 퐼 0 = 퐾 0 ⊕ 1 (푁표푡푎푡푖표푛: 퐴 푖, 푗, 푘 = 퐴 푖 ⊕ 퐴 푗 ⊕ 퐴 푘 ) S1 O I f S0 f 3-round linear relations with p=1 S1 f modified round function f at least 3 subkey (with whitening key) f bytes affect output6 6 © Mitsubishi Electric Corporation History of Cryptanalysis of FEAL • 4-round version – 100-10000 chosen plaintexts [Boer 88] – 20 chosen plaintexts [Murphy 90] – 8 chosen plaintexts [Biham, Shamir 91] differential – 200 known plaintexts [Tardy-Corfdir, Gilbert 91] – 5 known plaintexts [Matsui, Yamagishi -
Bison Instantiating the Whitened Swap-Or-Not Construction (Full Version)
bison Instantiating the Whitened Swap-Or-Not Construction (Full Version) Anne Canteaut1, Virginie Lallemand2, Gregor Leander2, Patrick Neumann2 and Friedrich Wiemer2 1 Inria, Paris, France [email protected] 2 Horst Görtz Institute for IT-Security, Ruhr University Bochum, Germany [email protected] Abstract. We give the first practical instance – bison – of the Whitened Swap-Or-Not construction. After clarifying inherent limitations of the construction, we point out that this way of building block ciphers allows easy and very strong arguments against differential attacks. Keywords: Whitened Swap-Or-Not · Instantiating Provable Security · Block Cipher Design · Differential Cryptanalysis 1 Introduction Block ciphers are among the most important cryptographic primitives as they are at the core responsible for a large fraction of all our data that is encrypted. Depending on the mode of operation (or used construction), a block cipher can be turned into an encryption function, a hash-function, a message authentication code or an authenticated encryption function. Due to their importance, it is not surprising that block ciphers are also among the best understood primitives. In particular the Advanced Encryption Standard (AES) [Fip] has been scrutinized by cryptanalysts ever since its development in 1998 [DR98] without any significant security threat discovered for the full cipher (see e. g. [BK09; Bir+09; Der+13; Dun+10; Fer+01; GM00; Gra+16; Gra+17; Røn+17]). The overall structure of AES, being built on several (round)-permutations interleaved with a (binary) addition of round keys is often referred to as key-alternating cipher and is depicted in Figure1. k0 k1 kr 1 kr − m R1 .. -
Tuto Documentation Release 0.1.0
Tuto Documentation Release 0.1.0 DevOps people 2020-05-09 09H16 CONTENTS 1 Documentation news 3 1.1 Documentation news 2020........................................3 1.1.1 New features of sphinx.ext.autodoc (typing) in sphinx 2.4.0 (2020-02-09)..........3 1.1.2 Hypermodern Python Chapter 5: Documentation (2020-01-29) by https://twitter.com/cjolowicz/..................................3 1.2 Documentation news 2018........................................4 1.2.1 Pratical sphinx (2018-05-12, pycon2018)...........................4 1.2.2 Markdown Descriptions on PyPI (2018-03-16)........................4 1.2.3 Bringing interactive examples to MDN.............................5 1.3 Documentation news 2017........................................5 1.3.1 Autodoc-style extraction into Sphinx for your JS project...................5 1.4 Documentation news 2016........................................5 1.4.1 La documentation linux utilise sphinx.............................5 2 Documentation Advices 7 2.1 You are what you document (Monday, May 5, 2014)..........................8 2.2 Rédaction technique...........................................8 2.2.1 Libérez vos informations de leurs silos.............................8 2.2.2 Intégrer la documentation aux processus de développement..................8 2.3 13 Things People Hate about Your Open Source Docs.........................9 2.4 Beautiful docs.............................................. 10 2.5 Designing Great API Docs (11 Jan 2012)................................ 10 2.6 Docness................................................. -
Cryptanalysis of Substitution-Permutation Networks Using Key-Dependent Degeneracy*
Cryptanalysis of Substitution-Permutation Networks Using Key-Dependent Degeneracy* Howard M. Heys Electrical Engineering, Faculty of Engineering and Applied Science Memorial University of Newfoundland St. John’s, Newfoundland, Canada A1B 3X5 Stafford E.Tavares Department of Electrical and Computer Engineering Queen’s University Kingston, Ontario, Canada K7L 3N6 * This research was supported by the Natural Sciences and Engineering Research Council of Canada and the Telecommunications Research Institute of Ontario and was completed during the first author’s doctoral studies at Queen’s University. Cryptanalysis of Substitution-Permutation Networks Using Key-Dependent Degeneracy Keywords Ð Cryptanalysis, Substitution-Permutation Network, S-box Abstract Ð This paper presents a novel cryptanalysis of Substitution- Permutation Networks using a chosen plaintext approach. The attack is based on the highly probable occurrence of key-dependent degeneracies within the network and is applicable regardless of the method of S-box keying. It is shown that a large number of rounds are required before a network is re- sistant to the attack. Experimental results have found 64-bit networks to be cryptanalyzable for as many as 8 to 12 rounds depending on the S-box properties. ¡ . Introduction The concept of Substitution-Permutation Networks (SPNs) for use in block cryp- tosystem design originates from the “confusion” and “diffusion” principles in- troduced by Shannon [1]. The SPN architecture considered in this paper was first suggested by Feistel [2] and consists of rounds of non-linear substitutions (S-boxes) connected by bit permutations. Such a cryptosystem structure, referred 1 to as LUCIFER1 by Feistel, is a simple, efficient implementation of Shannon’s concepts. -
Related-Key Cryptanalysis of 3-WAY, Biham-DES,CAST, DES-X, Newdes, RC2, and TEA
Related-Key Cryptanalysis of 3-WAY, Biham-DES,CAST, DES-X, NewDES, RC2, and TEA John Kelsey Bruce Schneier David Wagner Counterpane Systems U.C. Berkeley kelsey,schneier @counterpane.com [email protected] f g Abstract. We present new related-key attacks on the block ciphers 3- WAY, Biham-DES, CAST, DES-X, NewDES, RC2, and TEA. Differen- tial related-key attacks allow both keys and plaintexts to be chosen with specific differences [KSW96]. Our attacks build on the original work, showing how to adapt the general attack to deal with the difficulties of the individual algorithms. We also give specific design principles to protect against these attacks. 1 Introduction Related-key cryptanalysis assumes that the attacker learns the encryption of certain plaintexts not only under the original (unknown) key K, but also under some derived keys K0 = f(K). In a chosen-related-key attack, the attacker specifies how the key is to be changed; known-related-key attacks are those where the key difference is known, but cannot be chosen by the attacker. We emphasize that the attacker knows or chooses the relationship between keys, not the actual key values. These techniques have been developed in [Knu93b, Bih94, KSW96]. Related-key cryptanalysis is a practical attack on key-exchange protocols that do not guarantee key-integrity|an attacker may be able to flip bits in the key without knowing the key|and key-update protocols that update keys using a known function: e.g., K, K + 1, K + 2, etc. Related-key attacks were also used against rotor machines: operators sometimes set rotors incorrectly. -
Camellia: a 128-Bit Block Cipher Suitable for Multiple Platforms
Copyright NTT and Mitsubishi Electric Corporation 2000 Camellia: A 128-Bit Block Cipher Suitable for Multiple Platforms † ‡ † Kazumaro Aoki Tetsuya Ichikawa Masayuki Kanda ‡ † ‡ ‡ Mitsuru Matsui Shiho Moriai Junko Nakajima Toshio Tokita † Nippon Telegraph and Telephone Corporation 1-1 Hikarinooka, Yokosuka, Kanagawa, 239-0847 Japan {maro,kanda,shiho}@isl.ntt.co.jp ‡ Mitsubishi Electric Corporation 5-1-1 Ofuna, Kamakura, Kanagawa, 247-8501 Japan {ichikawa,matsui,june15,tokita}@iss.isl.melco.co.jp September 26, 2000 Abstract. We present a new 128-bit block cipher called Camellia. Camellia sup- ports 128-bit block size and 128-, 192-, and 256-bit key lengths, i.e. the same interface specifications as the Advanced Encryption Standard (AES). Camellia was carefully designed to withstand all known cryptanalytic attacks and even to have a sufficiently large security leeway for use of the next 10-20 years. There are no hidden weakness inserted by the designers. It was also designed to have suitability for both software and hardware implementations and to cover all possible encryption applications that range from low-cost smart cards to high-speed network systems. Compared to the AES finalists, Camellia offers at least comparable encryption speed in software and hardware. An optimized implementation of Camellia in assembly language can en- crypt on a PentiumIII (800MHz) at the rate of more than 276 Mbits per second, which is much faster than the speed of an optimized DES implementation. In ad- dition, a distinguishing feature is its small hardware design. The hardware design, which includes key schedule, encryption and decryption, occupies approximately 11K gates, which is the smallest among all existing 128-bit block ciphers as far as we know. -
Performance and Energy Efficiency of Block Ciphers in Personal Digital Assistants
Performance and Energy Efficiency of Block Ciphers in Personal Digital Assistants Creighton T. R. Hager, Scott F. Midkiff, Jung-Min Park, Thomas L. Martin Bradley Department of Electrical and Computer Engineering Virginia Polytechnic Institute and State University Blacksburg, Virginia 24061 USA {chager, midkiff, jungmin, tlmartin} @ vt.edu Abstract algorithms may consume more energy and drain the PDA battery faster than using less secure algorithms. Due to Encryption algorithms can be used to help secure the processing requirements and the limited computing wireless communications, but securing data also power in many PDAs, using strong cryptographic consumes resources. The goal of this research is to algorithms may also significantly increase the delay provide users or system developers of personal digital between data transmissions. Thus, users and, perhaps assistants and applications with the associated time and more importantly, software and system designers need to energy costs of using specific encryption algorithms. be aware of the benefits and costs of using various Four block ciphers (RC2, Blowfish, XTEA, and AES) were encryption algorithms. considered. The experiments included encryption and This research answers questions regarding energy decryption tasks with different cipher and file size consumption and execution time for various encryption combinations. The resource impact of the block ciphers algorithms executing on a PDA platform with the goal of were evaluated using the latency, throughput, energy- helping software and system developers design more latency product, and throughput/energy ratio metrics. effective applications and systems and of allowing end We found that RC2 encrypts faster and uses less users to better utilize the capabilities of PDA devices. -
Hemiunu Used Numerically Tagged Surface Ratios to Mark Ceilings Inside the Great Pyramid Hinting at Designed Spaces Still Hidden Within
Archaeological Discovery, 2018, 6, 319-337 http://www.scirp.org/journal/ad ISSN Online: 2331-1967 ISSN Print: 2331-1959 Hemiunu Used Numerically Tagged Surface Ratios to Mark Ceilings inside the Great Pyramid Hinting at Designed Spaces Still Hidden Within Manu Seyfzadeh Institute for the Study of the Origins of Civilization (ISOC)1, Boston University’s College of General Studies, Boston, USA How to cite this paper: Seyfzadeh, M. Abstract (2018). Hemiunu Used Numerically Tagged Surface Ratios to Mark Ceilings inside the In 1883, W. M. Flinders Petrie noticed that the vertical thickness and height Great Pyramid Hinting at Designed Spaces of certain stone courses of the Great Pyramid2 of Khufu/Cheops at Giza, Still Hidden Within. Archaeological Dis- Egypt markedly increase compared to those immediately lower periodically covery, 6, 319-337. https://doi.org/10.4236/ad.2018.64016 and conspicuously interrupting a general trend of progressive course thinning towards the summit. Having calculated the surface area of each course, Petrie Received: September 10, 2018 further noted that the courses immediately below such discrete stone thick- Accepted: October 5, 2018 Published: October 8, 2018 ness peaks tended to mark integer multiples of 1/25th of the surface area at ground level. Here I show that the probable architect of the Great Pyramid, Copyright © 2018 by author and Khufu’s vizier Hemiunu, conceptualized its vertical construction design using Scientific Research Publishing Inc. surface areas based on the same numerical principles used to design his own This work is licensed under the Creative Commons Attribution International mastaba in Giza’s western cemetery and conspicuously used this numerical License (CC BY 4.0). -
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. -
Linear (Hull) and Algebraic Cryptanalysis of the Block Cipher PRESENT
Linear (Hull) and Algebraic Cryptanalysis of the Block Cipher PRESENT Jorge Nakahara Jr1, Pouyan Sepehrdad1, Bingsheng Zhang2, Meiqin Wang3 1EPFL, Lausanne, Switzerland 2Cybernetica AS, Estonia and University of Tartu, Estonia 3Key Laboratory of Cryptologic Technology and Information Security, Ministry of Education, Shandong University, China Estonian Theory Days, 2-4.10.2009 Outline Why cryptanalysis?! Outline Outline Contributions The PRESENT Block Cipher Revisited Algebraic Cryptanalysis of PRESENT Linear Cryptanalysis of PRESENT Linear Hulls of PRESENT Conclusions Acknowledgements Outline Outline Contributions we performed linear analysis of reduced-round PRESENT exploiting fixed-points (and other symmetries) of pLayer exploiting low Hamming Weight bitmasks using iterative linear relations first linear hull analysis of PRESENT: 1st and 2nd best trails known-plaintext and ciphertext-only attack settings revisited algebraic analysis of 5-round PRESENT in less than 3 min best attacks on up to 26-round PRESENT (out of 31 rounds) Outline Outline The PRESENT Block Cipher block cipher designed by Bogdanov et al. at CHES’07 aimed at RFID tags, sensor networks (hardware environments) SPN structure 64-bit block size, 80- or 128-bit key size, 31 rounds one full round: xor with round subkey, S-box layer, bit permutation (pLayer) key schedule: 61-bit left rotation, S-box application, and xor with counter Outline Outline The PRESENT Block Cipher Computational graph of one full round of PRESENT Outline Outline Previous attack complexities on reduced-round -
Security Analysis of an Encryption Scheme Based on Nonpositional Polynomial Notations
Open Eng. 2016; 6:250–258 Research Article Open Access Nursulu Kapalova* and Dilmukhanbet Dyusenbayev Security analysis of an encryption scheme based on nonpositional polynomial notations DOI 10.1515/eng-2016-0034 unique providing that bases are pairwise relatively prime. Received May 05, 2016; accepted Jun 28, 2016 As distinct from classical RNSs, irreducible polynomials over GF(2) that is binary polynomials serve as bases in Abstract: The aim of the research was to conduct a cryp- NPNs [1–6]. tographic analysis of an encryption scheme developed Based on NPNs, nonconventional algorithms for en- on the basis of nonpositional polynomial notations to cryption, digital signatures and cryptographic key ex- estimate the algorithm strength. Nonpositional polyno- change have been developed [3, 7–9]. This paper is con- mial notations (NPNs) are residue number systems (RNSs) cerned with an investigation of the strength of a noncon- based on irreducible polynomials over GF(2). To evalu- ventional encryption scheme against cryptanalysis. The ate if the algorithms developed on the basis of NPNs are core of the algorithm under study is as follows. secure, mathematical models of cryptanalysis involving algebraic, linear and differential methods have been de- 1. First of all, an NPN is formed with its working bases signed. The cryptanalysis is as follows. A system of non- consisting of chosen irreducible polynomials linear equations is obtained from a function transforming p x p x ... p x plaintext into ciphertext with a key. Next, a possibility of 1( ), 2( ), , S( ) (1) transition of the nonlinear system to a linear one is consid- over GF(2) of degrees m1, m2, .. -
An Introduction to Cryptography Copyright © 1990-1999 Network Associates, Inc
An Introduction to Cryptography Copyright © 1990-1999 Network Associates, Inc. and its Affiliated Companies. All Rights Reserved. PGP*, Version 6.5.1 6-99. Printed in the United States of America. PGP, Pretty Good, and Pretty Good Privacy are registered trademarks of Network Associates, Inc. and/or its Affiliated Companies in the US and other countries. All other registered and unregistered trademarks in this document are the sole property of their respective owners. Portions of this software may use public key algorithms described in U.S. Patent numbers 4,200,770, 4,218,582, 4,405,829, and 4,424,414, licensed exclusively by Public Key Partners; the IDEA(tm) cryptographic cipher described in U.S. patent number 5,214,703, licensed from Ascom Tech AG; and the Northern Telecom Ltd., CAST Encryption Algorithm, licensed from Northern Telecom, Ltd. IDEA is a trademark of Ascom Tech AG. Network Associates Inc. may have patents and/or pending patent applications covering subject matter in this software or its documentation; the furnishing of this software or documentation does not give you any license to these patents. The compression code in PGP is by Mark Adler and Jean-Loup Gailly, used with permission from the free Info-ZIP implementation. LDAP software provided courtesy University of Michigan at Ann Arbor, Copyright © 1992-1996 Regents of the University of Michigan. All rights reserved. This product includes software developed by the Apache Group for use in the Apache HTTP server project (http://www.apache.org/). Copyright © 1995-1999 The Apache Group. All rights reserved. See text files included with the software or the PGP web site for further information.