Effects of Architecture on Information Leakage of a Hardware Advanced Encryption Standard Implementation Eric A
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Models and Algorithms for Physical Cryptanalysis
MODELS AND ALGORITHMS FOR PHYSICAL CRYPTANALYSIS Dissertation zur Erlangung des Grades eines Doktor-Ingenieurs der Fakult¨at fur¨ Elektrotechnik und Informationstechnik an der Ruhr-Universit¨at Bochum von Kerstin Lemke-Rust Bochum, Januar 2007 ii Thesis Advisor: Prof. Dr.-Ing. Christof Paar, Ruhr University Bochum, Germany External Referee: Prof. Dr. David Naccache, Ecole´ Normale Sup´erieure, Paris, France Author contact information: [email protected] iii Abstract This thesis is dedicated to models and algorithms for the use in physical cryptanalysis which is a new evolving discipline in implementation se- curity of information systems. It is based on physically observable and manipulable properties of a cryptographic implementation. Physical observables, such as the power consumption or electromag- netic emanation of a cryptographic device are so-called `side channels'. They contain exploitable information about internal states of an imple- mentation at runtime. Physical effects can also be used for the injec- tion of faults. Fault injection is successful if it recovers internal states by examining the effects of an erroneous state propagating through the computation. This thesis provides a unified framework for side channel and fault cryptanalysis. Its objective is to improve the understanding of physi- cally enabled cryptanalysis and to provide new models and algorithms. A major motivation for this work is that methodical improvements for physical cryptanalysis can also help in developing efficient countermea- sures for securing cryptographic implementations. This work examines differential side channel analysis of boolean and arithmetic operations which are typical primitives in cryptographic algo- rithms. Different characteristics of these operations can support a side channel analysis, even of unknown ciphers. -
A Novel and Highly Efficient AES Implementation Robust Against Differential Power Analysis Massoud Masoumi K
A Novel and Highly Efficient AES Implementation Robust against Differential Power Analysis Massoud Masoumi K. N. Toosi University of Tech., Tehran, Iran [email protected] ABSTRACT been proposed. Unfortunately, most of these techniques are Developed by Paul Kocher, Joshua Jaffe, and Benjamin Jun inefficient or costly or vulnerable to higher-order attacks in 1999, Differential Power Analysis (DPA) represents a [6]. They include randomized clocks, memory unique and powerful cryptanalysis technique. Insight into encryption/decryption schemes [7], power consumption the encryption and decryption behavior of a cryptographic randomization [8], and decorrelating the external power device can be determined by examining its electrical power supply from the internal power consumed by the chip. signature. This paper describes a novel approach for Moreover, the use of different hardware logic, such as implementation of the AES algorithm which provides a complementary logic, sense amplifier based logic (SABL), significantly improved strength against differential power and asynchronous logic [9, 10] have been also proposed. analysis with a minimal additional hardware overhead. Our Some of these techniques require about twice as much area method is based on randomization in composite field and will consume twice as much power as an arithmetic which entails an area penalty of only 7% while implementation that is not protected against power attacks. does not decrease the working frequency, does not alter the For example, the technique proposed in [10] adds area 3 algorithm and keeps perfect compatibility with the times and reduces throughput by a factor of 4. Another published standard. The efficiency of the proposed method is masking which involves ensuring the attacker technique was verified by practical results obtained from cannot predict any full registers in the system without real implementation on a Xilinx Spartan-II FPGA. -
Security Evaluation of the K2 Stream Cipher
Security Evaluation of the K2 Stream Cipher Editors: Andrey Bogdanov, Bart Preneel, and Vincent Rijmen Contributors: Andrey Bodganov, Nicky Mouha, Gautham Sekar, Elmar Tischhauser, Deniz Toz, Kerem Varıcı, Vesselin Velichkov, and Meiqin Wang Katholieke Universiteit Leuven Department of Electrical Engineering ESAT/SCD-COSIC Interdisciplinary Institute for BroadBand Technology (IBBT) Kasteelpark Arenberg 10, bus 2446 B-3001 Leuven-Heverlee, Belgium Version 1.1 | 7 March 2011 i Security Evaluation of K2 7 March 2011 Contents 1 Executive Summary 1 2 Linear Attacks 3 2.1 Overview . 3 2.2 Linear Relations for FSR-A and FSR-B . 3 2.3 Linear Approximation of the NLF . 5 2.4 Complexity Estimation . 5 3 Algebraic Attacks 6 4 Correlation Attacks 10 4.1 Introduction . 10 4.2 Combination Generators and Linear Complexity . 10 4.3 Description of the Correlation Attack . 11 4.4 Application of the Correlation Attack to KCipher-2 . 13 4.5 Fast Correlation Attacks . 14 5 Differential Attacks 14 5.1 Properties of Components . 14 5.1.1 Substitution . 15 5.1.2 Linear Permutation . 15 5.2 Key Ideas of the Attacks . 18 5.3 Related-Key Attacks . 19 5.4 Related-IV Attacks . 20 5.5 Related Key/IV Attacks . 21 5.6 Conclusion and Remarks . 21 6 Guess-and-Determine Attacks 25 6.1 Word-Oriented Guess-and-Determine . 25 6.2 Byte-Oriented Guess-and-Determine . 27 7 Period Considerations 28 8 Statistical Properties 29 9 Distinguishing Attacks 31 9.1 Preliminaries . 31 9.2 Mod n Cryptanalysis of Weakened KCipher-2 . 32 9.2.1 Other Reduced Versions of KCipher-2 . -
Fast Correlation Attacks: Methods and Countermeasures
Fast Correlation Attacks: Methods and Countermeasures Willi Meier FHNW, Switzerland Abstract. Fast correlation attacks have considerably evolved since their first appearance. They have lead to new design criteria of stream ciphers, and have found applications in other areas of communications and cryp- tography. In this paper, a review of the development of fast correlation attacks and their implications on the design of stream ciphers over the past two decades is given. Keywords: stream cipher, cryptanalysis, correlation attack. 1 Introduction In recent years, much effort has been put into a better understanding of the design and security of stream ciphers. Stream ciphers have been designed to be efficient either in constrained hardware or to have high efficiency in software. A synchronous stream cipher generates a pseudorandom sequence, the keystream, by a finite state machine whose initial state is determined as a function of the secret key and a public variable, the initialization vector. In an additive stream cipher, the ciphertext is obtained by bitwise addition of the keystream to the plaintext. We focus here on stream ciphers that are designed using simple devices like linear feedback shift registers (LFSRs). Such designs have been the main tar- get of correlation attacks. LFSRs are easy to implement and run efficiently in hardware. However such devices produce predictable output, and cannot be used directly for cryptographic applications. A common method aiming at destroy- ing the predictability of the output of such devices is to use their output as input of suitably designed non-linear functions that produce the keystream. As the attacks to be described later show, care has to be taken in the choice of these functions. -
Security in the GSM Network
Security in the GSM network Marcin Olawski [email protected] Abstract The GSM network is the biggest IT network on the Earth. Most of their users are connected to this network 24h a day but not many knows anything abut GSM security, how it works and how good it is. Most people blindly trust GSM security and send by the network not only theirs very private conversations and text messages but also their current location. This paper will describe how that information is guarded in 2G networks and how much of it an attacker can access without our permission or knowledge. Introduction As of June 30, 2010, 1.967 billion1 people use the Internet, according to Internet World Stats. Most of them heard at least once some terms related to internet security, like anti-virus, worm, firewall, spyware and so forth. In comparison, in July 2010 GSM Association announced that the number of global mobile connections has surpassed the 5 billion mark. Because of multiple SIM ownership there is always a lag between connections and subscribers, but it does not change the fact that far more people use GSM then the Internet. At the same time, how many of those subscribers know anything about GSM security? Have you ever hear terms like Ki number, temporary mobile subscriber identity or the A5 algorithm? For example, any IT specialist knows that it is easy to forge an e-mail, but not everyone is aware that spoofing someone's phone number is even easier. Any IT expert knows that even in correctly protected WLAN when an IP package reaches the Internet it will be travelling unencrypted. -
Stream Cipher Designs: a Review
SCIENCE CHINA Information Sciences March 2020, Vol. 63 131101:1–131101:25 . REVIEW . https://doi.org/10.1007/s11432-018-9929-x Stream cipher designs: a review Lin JIAO1*, Yonglin HAO1 & Dengguo FENG1,2* 1 State Key Laboratory of Cryptology, Beijing 100878, China; 2 State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China Received 13 August 2018/Accepted 30 June 2019/Published online 10 February 2020 Abstract Stream cipher is an important branch of symmetric cryptosystems, which takes obvious advan- tages in speed and scale of hardware implementation. It is suitable for using in the cases of massive data transfer or resource constraints, and has always been a hot and central research topic in cryptography. With the rapid development of network and communication technology, cipher algorithms play more and more crucial role in information security. Simultaneously, the application environment of cipher algorithms is in- creasingly complex, which challenges the existing cipher algorithms and calls for novel suitable designs. To accommodate new strict requirements and provide systematic scientific basis for future designs, this paper reviews the development history of stream ciphers, classifies and summarizes the design principles of typical stream ciphers in groups, briefly discusses the advantages and weakness of various stream ciphers in terms of security and implementation. Finally, it tries to foresee the prospective design directions of stream ciphers. Keywords stream cipher, survey, lightweight, authenticated encryption, homomorphic encryption Citation Jiao L, Hao Y L, Feng D G. Stream cipher designs: a review. Sci China Inf Sci, 2020, 63(3): 131101, https://doi.org/10.1007/s11432-018-9929-x 1 Introduction The widely applied e-commerce, e-government, along with the fast developing cloud computing, big data, have triggered high demands in both efficiency and security of information processing. -
Higher Order Correlation Attacks, XL Algorithm and Cryptanalysis of Toyocrypt
Higher Order Correlation Attacks, XL Algorithm and Cryptanalysis of Toyocrypt Nicolas T. Courtois Cryptography research, Schlumberger Smart Cards, 36-38 rue de la Princesse, BP 45, 78430 Louveciennes Cedex, France http://www.nicolascourtois.net [email protected] Abstract. Many stream ciphers are built of a linear sequence generator and a non-linear output function f. There is an abundant literature on (fast) correlation attacks, that use linear approximations of f to attack the cipher. In this paper we explore higher degree approximations, much less studied. We reduce the cryptanalysis of a stream cipher to solv- ing a system of multivariate equations that is overdefined (much more equations than unknowns). We adapt the XL method, introduced at Eurocrypt 2000 for overdefined quadratic systems, to solving equations of higher degree. Though the exact complexity of XL remains an open problem, there is no doubt that it works perfectly well for such largely overdefined systems as ours, and we confirm this by computer simula- tions. We show that using XL, it is possible to break stream ciphers that were known to be immune to all previously known attacks. For exam- ple, we cryptanalyse the stream cipher Toyocrypt accepted to the second phase of the Japanese government Cryptrec program. Our best attack on Toyocrypt takes 292 CPU clocks for a 128-bit cipher. The interesting feature of our XL-based higher degree correlation attacks is, their very loose requirements on the known keystream needed. For example they may work knowing ONLY that the ciphertext is in English. Key Words: Algebraic cryptanalysis, multivariate equations, overde- fined equations, Reed-Muller codes, correlation immunity, XL algorithm, Gr¨obner bases, stream ciphers, pseudo-random generators, nonlinear fil- tering, ciphertext-only attacks, Toyocrypt, Cryptrec. -
AEGIS: a Fast Authenticated Encryption Algorithm⋆ (Full Version)
AEGIS: A Fast Authenticated Encryption Algorithm? (Full Version) Hongjun Wu1, Bart Preneel2 1 School of Physical and Mathematical Sciences Nanyang Technological University [email protected] 2 Dept. Elektrotechniek-ESAT/COSIC KU Leuven and iMinds, Ghent [email protected] Abstract. This paper introduces a dedicated authenticated encryption algorithm AEGIS; AEGIS allows for the protection of associated data which makes it very suitable for protecting network packets. AEGIS- 128L uses eight AES round functions to process a 32-byte message block (one step). AEGIS-128 uses five AES round functions to process a 16-byte message block (one step); AES-256 uses six AES round functions. The security analysis shows that these algorithms offer a high level of secu- rity. On the Intel Sandy Bridge Core i5 processor, the speed of AEGIS- 128L, AEGIS-128 and AEGIS-256 is around 0.48, 0.66 and 0.7 clock cycles/byte (cpb) for 4096-byte messages, respectively. This is substan- tially faster than the AES CCM, GCM and OCB modes. Key words: Authenticated encryption, AEGIS, AES-NI 1 Introduction The protection of a message typically requires the protection of both confiden- tiality and authenticity. There are two main approaches to authenticate and encrypt a message. One approach is to treat the encryption and authentication separately. The plaintext is encrypted with a block cipher or stream cipher, and a MAC algorithm is used to authenticate the ciphertext. For example, we may apply AES [17] in CBC mode [18] to the plaintext, then apply AES-CMAC [22] (or Pelican MAC [6] or HMAC [19]) to the ciphertext to generate an authen- tication tag. -
Some Words on Cryptanalysis of Stream Ciphers Maximov, Alexander
Some Words on Cryptanalysis of Stream Ciphers Maximov, Alexander 2006 Link to publication Citation for published version (APA): Maximov, A. (2006). Some Words on Cryptanalysis of Stream Ciphers. Department of Information Technology, Lund Univeristy. Total number of authors: 1 General rights Unless other specific re-use rights are stated the following general rights apply: Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal Read more about Creative commons licenses: https://creativecommons.org/licenses/ Take down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. LUND UNIVERSITY PO Box 117 221 00 Lund +46 46-222 00 00 Some Words on Cryptanalysis of Stream Ciphers Alexander Maximov Ph.D. Thesis, June 16, 2006 Alexander Maximov Department of Information Technology Lund University Box 118 S-221 00 Lund, Sweden e-mail: [email protected] http://www.it.lth.se/ ISBN: 91-7167-039-4 ISRN: LUTEDX/TEIT-06/1035-SE c Alexander Maximov, 2006 Abstract n the world of cryptography, stream ciphers are known as primitives used Ito ensure privacy over a communication channel. -
Biryukov, Shamir, “Wagner: Real Time Cryptanalysis of A5/1 on a PC,”
Reference Papers [S1] Biryukov, Shamir, “Wagner: Real Time Cryptanalysis of A5/1 on a PC,” FSE2000 [S2] Canteaut, Filiol, “Ciphertext Only Reconstruction of Stream Ciphers based on Combination Generator,” FSE2000 [S3] Chepyzhov, Johansson, Smeets, “A simple algorithm for fast correlation attacks on stream ciphers,” FSE2000 [S4] Ding, “The Differential Cryptanalysis and Design of Natural Stream Ciphers,” Fast Software Encryption, Cambridge Security Workshop, December 1993, LNCS 809 [S5] Ding, Xiao, Sham, “The Stability Theory of Stream Ciphers,” LNCS 561 [S6] Johansson, Jonsson, “Fast correlation attacks based on Turbo code techniques,” CRYPTO’99, August 99, 19th Annual International Cryptology Conference, LNCS 1666 [S7] Fossorier, Mihaljevic, Imai, “Critical Noise for Convergence of Iterative Probabilistic Decoding with Belief Propagation in Cryptographic Applications,” LNCS 1719. [S8] Golic, “Linear Cryptanalysis of Stream Ciphers,” Fast Software Encryption, Second International Workshop, December 1994, LNCS 1008. [S9] Johansson, Jonsson, “Improved Fast Correlation Attacks in Stream Ciphers via Convolutional codes,” EUROCRYPT’99, International Conference on the Theory and Application of Cryptographic Techniques, May 1999, LNCS 1592 [S10] Meier, Staffelbach, “Correlation Properties of Comniners with Memory in Stream Ciphers,” Journal of Cryptology 5(1992) [S11] Palit, Roy, “Cryptanalysis of LFSR-Encrypted Codes with Unknown Combining,” LNCS 1716 [S12] Ruppel, “Correlation Immunity and Summation Generator,” CRYPTO’85 Proceedings, August 85, LNCS 218. [S13] Sigenthalar, “Decrypting a class of Ciphers using Ciphertext only,” IEEE C-34. [S14] Tanaka, Ohishi, Kaneko, “An Optimized Linear Attack on Pseudorandom Generators using a Non-Linear Combiner, Information Security,” First International Workshop, ISW’97 Proceedings, September 1997, LNCS 1396 [S15] Zeng, Huang, “On the Linear Syndrome Method in Cryptanalysis,” CRYPTO’88 Proceedings, August 1988, LNCS 403. -
Cryptography Weekly Independent Teaching Activities Teaching Credits Hours 4 6
COURSE OUTLINE (1) GENERAL SCHOOL SCHOOL OF SCIENCES ACADEMIC UNIT DEPARTMENT OF MATHEMATICS LEVEL OF STUDIES UNDERGRADUATE PROGRAM COURSE CODE 311-2003 SEMESTER F COURSE TITLE CRYPTOGRAPHY WEEKLY INDEPENDENT TEACHING ACTIVITIES TEACHING CREDITS HOURS 4 6 COURSE TYPE Special background PREREQUISITE COURSES: NO LANGUAGE OF INSTRUCTION and GREEK EXAMINATIONS: IS THE COURSE OFFERED TO YES ERASMUS STUDENTS COURSE WEBSITE (URL) http://www.math.aegean.gr/index.php/en/academics/undergraduate- programs (2) LEARNING OUTCOMES Learning outcomes In this course the students are introduced to the basic complexity theory and how computational difficulty in solving problems can be exploited to build secure cryptographic protocols. The lectures are, then, focused on some elementary cryptographic schemes like Caesar’s cipher, general substitution ciphers, polyalphabetic ciphers and how they can be broken efficiently. Then the students are introduced to Shannon’s cryptographic principles of confusion and diffusion and how they lead to the Feistel-based block ciphers. Then, as case studies, the block ciphers DES, CAST-128 and AES are presented along with analysis of their security properties. In the middle of the course, the students are introduced to public key cryptography and the RSA, ElGamal scheme and the foundations of Elliptic Curve Cryptography as well as the state of the art in the cryptanalysis of RSA and ECC. The aim of this course is mainly to introduce the students into the basic concepts of cryptography and cryptanalysis. At the end of the course, they could develop and analyse certain cryptographic systems and they could be ready to use and modify certain cryptanalysis techniques. -
Analysis of Lightweight Stream Ciphers
ANALYSIS OF LIGHTWEIGHT STREAM CIPHERS THÈSE NO 4040 (2008) PRÉSENTÉE LE 18 AVRIL 2008 À LA FACULTÉ INFORMATIQUE ET COMMUNICATIONS LABORATOIRE DE SÉCURITÉ ET DE CRYPTOGRAPHIE PROGRAMME DOCTORAL EN INFORMATIQUE, COMMUNICATIONS ET INFORMATION ÉCOLE POLYTECHNIQUE FÉDÉRALE DE LAUSANNE POUR L'OBTENTION DU GRADE DE DOCTEUR ÈS SCIENCES PAR Simon FISCHER M.Sc. in physics, Université de Berne de nationalité suisse et originaire de Olten (SO) acceptée sur proposition du jury: Prof. M. A. Shokrollahi, président du jury Prof. S. Vaudenay, Dr W. Meier, directeurs de thèse Prof. C. Carlet, rapporteur Prof. A. Lenstra, rapporteur Dr M. Robshaw, rapporteur Suisse 2008 F¨ur Philomena Abstract Stream ciphers are fast cryptographic primitives to provide confidentiality of electronically transmitted data. They can be very suitable in environments with restricted resources, such as mobile devices or embedded systems. Practical examples are cell phones, RFID transponders, smart cards or devices in sensor networks. Besides efficiency, security is the most important property of a stream cipher. In this thesis, we address cryptanalysis of modern lightweight stream ciphers. We derive and improve cryptanalytic methods for dif- ferent building blocks and present dedicated attacks on specific proposals, including some eSTREAM candidates. As a result, we elaborate on the design criteria for the develop- ment of secure and efficient stream ciphers. The best-known building block is the linear feedback shift register (LFSR), which can be combined with a nonlinear Boolean output function. A powerful type of attacks against LFSR-based stream ciphers are the recent algebraic attacks, these exploit the specific structure by deriving low degree equations for recovering the secret key.