Design and Hardware Implementation for RC4 Stream Cipher by Using Verilog HDL 1 2 A
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Failures of Secret-Key Cryptography D
Failures of secret-key cryptography D. J. Bernstein University of Illinois at Chicago & Technische Universiteit Eindhoven http://xkcd.com/538/ 2011 Grigg{Gutmann: In the past 15 years \no one ever lost money to an attack on a properly designed cryptosystem (meaning one that didn't use homebrew crypto or toy keys) in the Internet or commercial worlds". 2011 Grigg{Gutmann: In the past 15 years \no one ever lost money to an attack on a properly designed cryptosystem (meaning one that didn't use homebrew crypto or toy keys) in the Internet or commercial worlds". 2002 Shamir:\Cryptography is usually bypassed. I am not aware of any major world-class security system employing cryptography in which the hackers penetrated the system by actually going through the cryptanalysis." Do these people mean that it's actually infeasible to break real-world crypto? Do these people mean that it's actually infeasible to break real-world crypto? Or do they mean that breaks are feasible but still not worthwhile for the attackers? Do these people mean that it's actually infeasible to break real-world crypto? Or do they mean that breaks are feasible but still not worthwhile for the attackers? Or are they simply wrong: real-world crypto is breakable; is in fact being broken; is one of many ongoing disaster areas in security? Do these people mean that it's actually infeasible to break real-world crypto? Or do they mean that breaks are feasible but still not worthwhile for the attackers? Or are they simply wrong: real-world crypto is breakable; is in fact being broken; is one of many ongoing disaster areas in security? Let's look at some examples. -
Key Differentiation Attacks on Stream Ciphers
Key differentiation attacks on stream ciphers Abstract In this paper the applicability of differential cryptanalytic tool to stream ciphers is elaborated using the algebraic representation similar to early Shannon’s postulates regarding the concept of confusion. In 2007, Biham and Dunkelman [3] have formally introduced the concept of differential cryptanalysis in stream ciphers by addressing the three different scenarios of interest. Here we mainly consider the first scenario where the key difference and/or IV difference influence the internal state of the cipher (∆key, ∆IV ) → ∆S. We then show that under certain circumstances a chosen IV attack may be transformed in the key chosen attack. That is, whenever at some stage of the key/IV setup algorithm (KSA) we may identify linear relations between some subset of key and IV bits, and these key variables only appear through these linear relations, then using the differentiation of internal state variables (through chosen IV scenario of attack) we are able to eliminate the presence of corresponding key variables. The method leads to an attack whose complexity is beyond the exhaustive search, whenever the cipher admits exact algebraic description of internal state variables and the keystream computation is not complex. A successful application is especially noted in the context of stream ciphers whose keystream bits evolve relatively slow as a function of secret state bits. A modification of the attack can be applied to the TRIVIUM stream cipher [8], in this case 12 linear relations could be identified but at the same time the same 12 key variables appear in another part of state register. -
Stream Ciphers (Contd.)
Stream Ciphers (contd.) Debdeep Mukhopadhyay Assistant Professor Department of Computer Science and Engineering Indian Institute of Technology Kharagpur INDIA -721302 Objectives • Non-linear feedback shift registers • Stream ciphers using LFSRs: – Non-linear combination generators – Non-linear filter generators – Clock controlled generators – Other Stream Ciphers Low Power Ajit Pal IIT Kharagpur 1 Non-linear feedback shift registers • A Feedback Shift Register (FSR) is non-singular iff for all possible initial states every output sequence of the FSR is periodic. de Bruijn Sequence An FSR with feedback function fs(jj−−12 , s ,..., s jL − ) is non-singular iff f is of the form: fs=⊕jL−−−−+ gss( j12 , j ,..., s jL 1 ) for some Boolean function g. The period of a non-singular FSR with length L is at most 2L . If the period of the output sequence for any initial state of a non-singular FSR of length L is 2L , then the FSR is called a de Bruijn FSR, and the output sequence is called a de Bruijn sequence. Low Power Ajit Pal IIT Kharagpur 2 Example f (,xxx123 , )1= ⊕⊕⊕ x 2 x 3 xx 12 t x1 x2 x3 t x1 x2 x3 0 0 0 0 4 0 1 1 1 1 0 0 5 1 0 1 2 1 1 0 6 0 1 0 3 1 1 1 3 0 0 1 Converting a maximal length LFSR to a de-Bruijn FSR Let R1 be a maximum length LFSR of length L with linear feedback function: fs(jj−−12 , s ,..., s jL − ). Then the FSR R2 with feedback function: gs(jj−−12 , s ,..., s jL − )=⊕ f sjj−−12 , s ,..., s j −L+1 is a de Bruijn FSR. -
Cryptanalysis of Sfinks*
Cryptanalysis of Sfinks? Nicolas T. Courtois Axalto Smart Cards Crypto Research, 36-38 rue de la Princesse, BP 45, F-78430 Louveciennes Cedex, France, [email protected] Abstract. Sfinks is an LFSR-based stream cipher submitted to ECRYPT call for stream ciphers by Braeken, Lano, Preneel et al. The designers of Sfinks do not to include any protection against algebraic attacks. They rely on the so called “Algebraic Immunity”, that relates to the complexity of a simple algebraic attack, and ignores other algebraic attacks. As a result, Sfinks is insecure. Key Words: algebraic cryptanalysis, stream ciphers, nonlinear filters, Boolean functions, solving systems of multivariate equations, fast algebraic attacks on stream ciphers. 1 Introduction Sfinks is a new stream cipher that has been submitted in April 2005 to ECRYPT call for stream cipher proposals, by Braeken, Lano, Mentens, Preneel and Varbauwhede [6]. It is a hardware-oriented stream cipher with associated authentication method (Profile 2A in ECRYPT project). Sfinks is a very simple and elegant stream cipher, built following a very classical formula: a single maximum-period LFSR filtered by a Boolean function. Several large families of ciphers of this type (and even much more complex ones) have been in the recent years, quite badly broken by algebraic attacks, see for exemple [12, 13, 1, 14, 15, 2, 18]. Neverthe- less the specialists of these ciphers counter-attacked by defining and applying the concept of Algebraic Immunity [7] to claim that some designs are “secure”. Unfortunately, as we will see later, the notion of Algebraic Immunity protects against only one simple alge- braic attack and ignores other algebraic attacks. -
Hardware Implementation of the Salsa20 and Phelix Stream Ciphers
Hardware Implementation of the Salsa20 and Phelix Stream Ciphers Junjie Yan and Howard M. Heys Electrical and Computer Engineering Memorial University of Newfoundland Email: {junjie, howard}@engr.mun.ca Abstract— In this paper, we present an analysis of the digital of battery limitations and portability, while for virtual private hardware implementation of two stream ciphers proposed for the network (VPN) applications and secure e-commerce web eSTREAM project: Salsa20 and Phelix. Both high speed and servers, demand for high-speed encryption is rapidly compact designs are examined, targeted to both field increasing. programmable (FPGA) and application specific integrated circuit When considering implementation technologies, normally, (ASIC) technologies. the ASIC approach provides better performance in density and The studied designs are specified using the VHDL hardware throughput, but an FPGA is reconfigurable and more flexible. description language, and synthesized by using Synopsys CAD In our study, several schemes are used, catering to the features tools. The throughput of the compact ASIC design for Phelix is of the target technology. 260 Mbps targeted for 0.18µ CMOS technology and the corresponding area is equivalent to about 12,400 2-input NAND 2. PHELIX gates. The throughput of Salsa20 ranges from 38 Mbps for the 2.1 Short Description of the Phelix Algorithm compact FPGA design, implemented using 194 CLB slices to 4.8 Phelix is claimed to be a high-speed stream cipher. It is Gbps for the high speed ASIC design, implemented with an area selected for both software and hardware performance equivalent to about 470,000 2-input NAND gates. evaluation by the eSTREAM project. -
The Status of Stream Ciphers After the Estream Project*
The Status of Stream Ciphers after the eSTREAM Project? Bart Preneel COSIC, K.U.Leuven, Belgium abstract 1 The eSTREAM project is a multi-year project within the ECRYPT Net- work of Excellence (http://www.ecrypt.eu.org/stream/). Launched in 2004, it is expected to come to a conclusion in April of 2008 with the publication of a portfolio of promising new stream cipher designs. For many years stream ciphers of a dedicated design were seen as an impor- tant complement to block ciphers. While both stream and block ciphers provide what is termed symmetric encryption, where both the sender and the receiver of a protected message share the same key, they have different characteristics making them suitable for different applications. And while a block cipher could be used as a stream cipher, this was previously viewed as a second-best choice. However the widespread adoption of the AES [1] —a trusted block cipher with excellent performance characteristics—has changed this. For the vast majority of applications one can just use the AES (in an appropriate way) with no need to look for alternatives. That said, there are two situations where a dedicated stream cipher might still hold an advantage: (1) in software applications requiring a very high encryption/decryption rate and (2) in hardware applications where physical resources, e.g. space or power, are severely restricted. Over a three-year period, an initial set of 34 new stream cipher designs— submitted from around the world—has been gradually reduced to 16 finalist ciphers suitable for software or hardware implementation. -
Generic Attacks on Stream Ciphers
Generic Attacks on Stream Ciphers John Mattsson Generic Attacks on Stream Ciphers 2/22 Overview What is a stream cipher? Classification of attacks Different Attacks Exhaustive Key Search Time Memory Tradeoffs Distinguishing Attacks Guess-and-Determine attacks Correlation Attacks Algebraic Attacks Sidechannel Attacks Summary Generic Attacks on Stream Ciphers 3/22 What is a stream cipher? Input: Secret key (k bits) Public IV (v bits). Output: Sequence z1, z2, … (keystream) The state (s bits) can informally be defined as the values of the set of variables that describes the current status of the cipher. For each new state, the cipher outputs some bits and then jumps to the next state where the process is repeated. The ciphertext is a function (usually XOR) of the keysteam and the plaintext. Generic Attacks on Stream Ciphers 4/22 Classification of attacks Assumed that the attacker has knowledge of the cryptographic algorithm but not the key. The aim of the attack Key recovery Prediction Distinguishing The information available to the attacker. Ciphertext-only Known-plaintext Chosen-plaintext Chosen-chipertext Generic Attacks on Stream Ciphers 5/22 Exhaustive Key Search Can be used against any stream cipher. Given a keystream the attacker tries all different keys until the right one is found. If the key is k bits the attacker has to try 2k keys in the worst case and 2k−1 keys on average. An attack with a higher computational complexity than exhaustive key search is not considered an attack at all. Generic Attacks on Stream Ciphers 6/22 Time Memory Tradeoffs (state) Large amounts of precomputed data is used to lower the computational complexity. -
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. -
Adding MAC Functionality to Edon80
194 IJCSNS International Journal of Computer Science and Network Security, VOL.7 No.1, January 2007 Adding MAC Functionality to Edon80 Danilo Gligoroski and Svein J. Knapskog “Centre for Quantifiable Quality of Service in Communication Systems”, Norwegian University of Science and Technology, Trondheim, Norway Summary VEST. At the time of writing, it seams that for NLS and In this paper we show how the synchronous stream cipher Phelix some weaknesses have been found [11,12]. Edon80 - proposed as a candidate stream cipher in Profile 2 of Although the eSTREAM project does not accept anymore the eSTREAM project, can be efficiently upgraded to a any tweaks or new submissions, we think that the design synchronous stream cipher with authentication. We are achieving of an efficient authentication techniques as a part of the that by simple addition of two-bit registers into the e- internal definition of the remaining unbroken stream transformers of Edon80 core, an additional 160-bit shift register and by putting additional communication logic between ciphers of Phase 2 of eSTREAM project still is an neighboring e-transformers of the Edon80 pipeline core. This important research challenge. upgrade does not change the produced keystream from Edon80 Edon80 is one of the stream ciphers that has been and we project that in total it will need not more then 1500 gates. proposed for hardware based implementations (PROFILE A previous version of the paper with the same title that has been 2) [13]. Its present design does not contain an presented at the Special Workshop “State of the Art of Stream authentication mechanism by its own. -
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. -
A Chosen IV Related Key Attack on Grain-128A
A Chosen IV Related Key Attack on Grain-128a Subhadeep Banik1, Subhamoy Maitra1, Santanu Sarkar2 , Meltem S¨onmez Turan2 1 Applied Statistics Unit, Indian Statistical Institute Kolkata, 203, B.T. Road, Kolkata-108. s.banik [email protected], [email protected] 2 National Institute of Standards and Technology, 100 Bureau Drive, Stop 8930 Gaithersburg, MD 20899-8930,USA [email protected], [email protected] Abstract. Due to the symmetric padding used in the stream cipher Grain v1 and Grain-128, it is possible to find Key-IV pairs that gener ate shifted keystreams efficiently. Based on this observation, Lee et al. presented a chosen IV related key attack on Grain v1 and Grain-128 at ACISP 2008. Later, the designers introduced Grain-128a having an asymmetric padding. As a result, the existing idea of chosen IV related key attack does not work on this new design. In this paper, we present a key recovery attack on Grain-128a, in a chosen IV related key setting. We show that using around γ · 232 (γ is a experimentally determined constant and it is sufficient to estimate it as 28) related keys and γ · 264 chosen IVs, it is possible to obtain 32 · γ simple nonlinear equations and solve them to recover the secret key in Grain-128a. Keywords: Cryptanalysis, eStream, Grain-128a, Related Keys, Stream Cipher. 1 Introduction The Grain family of stream ciphers, proposed by Martin Hell, Thomas Johansson and Willi Meier in 2005, is designed for constrained devices. Grain v1 [16] is included in the final hardware portfolio of the eStream pro ject [1]. -
"Analysis and Implementation of RC4 Stream Cipher"
Analysis and Implementation of RC4 Stream Cipher A thesis presented to Indian Statistical Institute in fulfillment of the thesis requirement for the degree of Doctor of Philosophy in Computer Science by Sourav Sen Gupta under the supervision of Professor Subhamoy Maitra Applied Statistics Unit INDIAN STATISTICAL INSTITUTE Kolkata, West Bengal, India, 2013 To the virtually endless periods of sweet procrastination that kept me sane during the strenuous one-night stands with my thesis. i ii Abstract RC4 has been the most popular stream cipher in the history of symmetric key cryptography. Designed in 1987 by Ron Rivest, RC4 is the most widely deployed commercial stream cipher, having applications in network protocols such as SSL, WEP, WPA and in Microsoft Windows, Apple OCE, Secure SQL, etc. The enigmatic appeal of the cipher has roots in its simple design, which is undoubtedly the simplest for any practical cryptographic algorithm to date. In this thesis, we focus on the analysis and implementation of RC4. For the first time in RC4 literature, we report significant keystream bi- ases depending on the length of RC4 secret key. In the process, we prove two empirical biases that were experimentally reported and used in recent attacks against WEP and WPA by Sepehrdad, Vaudenay and Vuagnoux in EUROCRYPT 2011. In addition to this, we present a conclusive proof for the extended keylength dependent biases in RC4, a follow-up problem to our keylength dependent results, identified and partially solved by Isobe, Ohigashi, Watanabe and Morii in FSE 2013. In a recent result by AlFardan, Bernstein, Paterson, Poettering and Schuldt, to appear in USENIX Security Symposium 2013, the authors ob- served a bias of the first output byte towards 129.