(In-)Security of 64-Bit Block Ciphers
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Zero Correlation Linear Cryptanalysis on LEA Family Ciphers
Journal of Communications Vol. 11, No. 7, July 2016 Zero Correlation Linear Cryptanalysis on LEA Family Ciphers Kai Zhang, Jie Guan, and Bin Hu Information Science and Technology Institute, Zhengzhou 450000, China Email: [email protected]; [email protected]; [email protected] Abstract—In recent two years, zero correlation linear Zero correlation linear cryptanalysis was firstly cryptanalysis has shown its great potential in cryptanalysis and proposed by Andrey Bogdanov and Vicent Rijmen in it has proven to be effective against massive ciphers. LEA is a 2011 [2], [3]. Generally speaking, this cryptanalytic block cipher proposed by Deukjo Hong, who is the designer of method can be concluded as “use linear approximation of an ISO standard block cipher - HIGHT. This paper evaluates the probability 1/2 to eliminate the wrong key candidates”. security level on LEA family ciphers against zero correlation linear cryptanalysis. Firstly, we identify some 9-round zero However, in this basic model of zero correlation linear correlation linear hulls for LEA. Accordingly, we propose a cryptanalysis, the data complexity is about half of the full distinguishing attack on all variants of 9-round LEA family code book. The high data complexity greatly limits the ciphers. Then we propose the first zero correlation linear application of this new method. In FSE 2012, multiple cryptanalysis on 13-round LEA-192 and 14-round LEA-256. zero correlation linear cryptanalysis [4] was proposed For 13-round LEA-192, we propose a key recovery attack with which use multiple zero correlation linear approximations time complexity of 2131.30 13-round LEA encryptions, data to reduce the data complexity. -
3GPP TR 55.919 V6.1.0 (2002-12) Technical Report
3GPP TR 55.919 V6.1.0 (2002-12) Technical Report 3rd Generation Partnership Project; Technical Specification Group Services and System Aspects; 3G Security; Specification of the A5/3 Encryption Algorithms for GSM and ECSD, and the GEA3 Encryption Algorithm for GPRS; Document 4: Design and evaluation report (Release 6) R GLOBAL SYSTEM FOR MOBILE COMMUNICATIONS The present document has been developed within the 3rd Generation Partnership Project (3GPP TM) and may be further elaborated for the purposes of 3GPP. The present document has not been subject to any approval process by the 3GPP Organizational Partners and shall not be implemented. This Specification is provided for future development work within 3GPP only. The Organizational Partners accept no liability for any use of this Specification. Specifications and reports for implementation of the 3GPP TM system should be obtained via the 3GPP Organizational Partners' Publications Offices. Release 6 2 3GPP TR 55.919 V6.1.0 (2002-12) Keywords GSM, GPRS, security, algorithm 3GPP Postal address 3GPP support office address 650 Route des Lucioles - Sophia Antipolis Valbonne - FRANCE Tel.: +33 4 92 94 42 00 Fax: +33 4 93 65 47 16 Internet http://www.3gpp.org Copyright Notification No part may be reproduced except as authorized by written permission. The copyright and the foregoing restriction extend to reproduction in all media. © 2002, 3GPP Organizational Partners (ARIB, CWTS, ETSI, T1, TTA, TTC). All rights reserved. 3GPP Release 6 3 3GPP TR 55.919 V6.1.0 (2002-12) Contents Foreword ............................................................................................................................................................5 -
Report on the AES Candidates
Rep ort on the AES Candidates 1 2 1 3 Olivier Baudron , Henri Gilb ert , Louis Granb oulan , Helena Handschuh , 4 1 5 1 Antoine Joux , Phong Nguyen ,Fabrice Noilhan ,David Pointcheval , 1 1 1 1 Thomas Pornin , Guillaume Poupard , Jacques Stern , and Serge Vaudenay 1 Ecole Normale Sup erieure { CNRS 2 France Telecom 3 Gemplus { ENST 4 SCSSI 5 Universit e d'Orsay { LRI Contact e-mail: [email protected] Abstract This do cument rep orts the activities of the AES working group organized at the Ecole Normale Sup erieure. Several candidates are evaluated. In particular we outline some weaknesses in the designs of some candidates. We mainly discuss selection criteria b etween the can- didates, and make case-by-case comments. We nally recommend the selection of Mars, RC6, Serp ent, ... and DFC. As the rep ort is b eing nalized, we also added some new preliminary cryptanalysis on RC6 and Crypton in the App endix which are not considered in the main b o dy of the rep ort. Designing the encryption standard of the rst twentyyears of the twenty rst century is a challenging task: we need to predict p ossible future technologies, and wehavetotake unknown future attacks in account. Following the AES pro cess initiated by NIST, we organized an op en working group at the Ecole Normale Sup erieure. This group met two hours a week to review the AES candidates. The present do cument rep orts its results. Another task of this group was to up date the DFC candidate submitted by CNRS [16, 17] and to answer questions which had b een omitted in previous 1 rep orts on DFC. -
Balanced Permutations Even–Mansour Ciphers
Article Balanced Permutations Even–Mansour Ciphers Shoni Gilboa 1, Shay Gueron 2,3 ∗ and Mridul Nandi 4 1 Department of Mathematics and Computer Science, The Open University of Israel, Raanana 4353701, Israel; [email protected] 2 Department of Mathematics, University of Haifa, Haifa 3498838, Israel 3 Intel Corporation, Israel Development Center, Haifa 31015, Israel 4 Indian Statistical Institute, Kolkata 700108, India; [email protected] * Correspondence: [email protected]; Tel.: +04-824-0161 Academic Editor: Kwangjo Kim Received: 2 February 2016; Accepted: 30 March 2016; Published: 1 April 2016 Abstract: The r-rounds Even–Mansour block cipher is a generalization of the well known Even–Mansour block cipher to r iterations. Attacks on this construction were described by Nikoli´c et al. and Dinur et al. for r = 2, 3. These attacks are only marginally better than brute force but are based on an interesting observation (due to Nikoli´c et al.): for a “typical” permutation P, the distribution of P(x) ⊕ x is not uniform. This naturally raises the following question. Let us call permutations for which the distribution of P(x) ⊕ x is uniformly “balanced” — is there a sufficiently large family of balanced permutations, and what is the security of the resulting Even–Mansour block cipher? We show how to generate families of balanced permutations from the Luby–Rackoff construction and use them to define a 2n-bit block cipher from the 2-round Even–Mansour scheme. We prove that this cipher is indistinguishable from a random permutation of f0, 1g2n, for any adversary who has oracle access to the public permutations and to an encryption/decryption oracle, as long as the number of queries is o(2n/2). -
Miss in the Middle Attacks on IDEA and Khufu
Miss in the Middle Attacks on IDEA and Khufu Eli Biham? Alex Biryukov?? Adi Shamir??? Abstract. In a recent paper we developed a new cryptanalytic techni- que based on impossible differentials, and used it to attack the Skipjack encryption algorithm reduced from 32 to 31 rounds. In this paper we describe the application of this technique to the block ciphers IDEA and Khufu. In both cases the new attacks cover more rounds than the best currently known attacks. This demonstrates the power of the new cryptanalytic technique, shows that it is applicable to a larger class of cryptosystems, and develops new technical tools for applying it in new situations. 1 Introduction In [5,17] a new cryptanalytic technique based on impossible differentials was proposed, and its application to Skipjack [28] and DEAL [17] was described. In this paper we apply this technique to the IDEA and Khufu cryptosystems. Our new attacks are much more efficient and cover more rounds than the best previously known attacks on these ciphers. The main idea behind these new attacks is a bit counter-intuitive. Unlike tra- ditional differential and linear cryptanalysis which predict and detect statistical events of highest possible probability, our new approach is to search for events that never happen. Such impossible events are then used to distinguish the ci- pher from a random permutation, or to perform key elimination (a candidate key is obviously wrong if it leads to an impossible event). The fact that impossible events can be useful in cryptanalysis is an old idea (for example, some of the attacks on Enigma were based on the observation that letters can not be encrypted to themselves). -
Pseudorandomness of Basic Structures in the Block Cipher KASUMI
Pseudorandomness of Basic Structures in the Block Cipher KASUMI Ju-Sung Kang, Bart Preneel, Heuisu Ryu, Kyo Il Chung, and Chee Hang Park The notion of pseudorandomness is the theoretical I. INTRODUCTION foundation on which to consider the soundness of a basic structure used in some block ciphers. We examine the A block cipher is a family of permutations on a message pseudorandomness of the block cipher KASUMI, which space indexed by a secret key. Luby and Rackoff [1] will be used in the next-generation cellular phones. First, we introduced a theoretical model for the security of block ciphers prove that the four-round unbalanced MISTY-type by using the notion of pseudorandom and super-pseudorandom transformation is pseudorandom in order to illustrate the permutations. A pseudorandom permutation can be interpreted pseudorandomness of the inside round function FI of as a block cipher that cannot be distinguished from a truly KASUMI under an adaptive distinguisher model. Second, random permutation regardless of how many polynomial we show that the three-round KASUMI-like structure is not encryption queries an attacker makes. A super-pseudorandom pseudorandom but the four-round KASUMI-like structure permutation can be interpreted as a block cipher that cannot be is pseudorandom under a non-adaptive distinguisher model. distinguished from a truly random permutation regardless of how many polynomial encryption and decryption queries an attacker makes. Luby and Rackoff used a Feistel-type transformation defined by the typical two-block structure of the block cipher DES in order to construct pseudorandom and super-pseudorandom permutations from pseudorandom functions [1]. -
Comparative Analysis of Advanced Encryption Standard, Blowfish and Rivest Cipher 4 Algorithms
www.ijird.com November, 2014 Vol 3 Issue 11 ISSN 2278 – 0211 (Online) Comparative Analysis of Advanced Encryption Standard, Blowfish and Rivest Cipher 4 Algorithms Adolf Fenyi Researcher, Kwame Nkrumah University of Science and Technology, Knust, Ghana Joseph G. Davis Lecturer, Kwame Nkrumah University of Science and Technology, Knust, Ghana Dr. Kwabena Riverson Head of Programme CSIR Institute of Industrial Research Accra, Ghana Abstract: Cryptography is one of the main categories of computer security that converts information from its normal form into an unreadable form. The two main characteristics that identify and differentiate one encryption algorithm from another are its ability to secure the protected data against attacks and its speed and efficiency in doing so.Cryptography is required to transmit confidential information over the network. It is also demanding in wide range of applications which includes mobile and networking applications. Cryptographic algorithms play a vital role in providing the data security against malicious attacks. But on the other hand, they consume significant amount of computing resources like CPU time, memory, encryption time etc. Normally, symmetric key algorithms are preferred over asymmetric key algorithms as they are very fast in nature. Symmetric algorithms are classified as block cipher and stream ciphers algorithms. In this research project, I comparedthe AES and Blowfish algorithms with different modes of operation (ECB, CBC, and CFB) and RC4 algorithm (stream cipher) in terms encryption time, decryption time, memory utilization and throughput at different settings likevariable key size and variable data packet size.A stimulation program is developed using PHP and JavaScript scripting languages. The program encrypts and decrypts different file sizes ranging from 1MB to 50MB. -
AES, Blowfish and Twofish for Security of Wireless Networks
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 06 | June 2020 www.irjet.net p-ISSN: 2395-0072 Comparison of Encryption Algorithms: AES, Blowfish and Twofish for Security of Wireless Networks Archisman Ghosh Department of Computer Science & Engineering, National Institute of Technology, Durgapur, West Bengal, India --------------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - Encryption is the process of encoding data to A secure WiFi system uses algorithms such as DES, RSA, prevent unauthorized access. Cyber security is the need of AES, Blowfish and Twofish to secure the communication the hour which ensures transfer of data across the internet over seemingly unsecured Internet channels. In addition, with confidentiality and integrity, and provides protection the existing cryptographic algorithm is based on an against malicious attacks. In this research paper, encryption model designed by Horst Feistel of IBM [4]. comparison between the encryption algorithms, viz. AES (Advanced Encryption Standard), Blowfish, and Twofish is In this paper, a comparative study of the cryptographic done in terms of time of encryption and decryption, and algorithms: AES, Blowfish and Twofish has been done and their throughput, and the results are analysed indicating the the results have been analysed in order to find the superiority of Twofish over AES and Blowfish as a viable algorithm most suitable for encrypting data in wireless algorithm for data encryption in wireless networks. networks. Keywords: Cryptography, Network security, AES, 2. Overview of the algorithms Blowfish, Twofish, Secure communication. 2.1 AES 1. Introduction The Advanced Encryption Standard (AES) is a Owing to the advancement in internet accessibility and cryptographic algorithm for encryption of electronic data networking, most of the security sensitive stuff like established by the U.S. -
A New Stream Cipher HC-256
A New Stream Cipher HC-256 Hongjun Wu Institute for Infocomm Research 21 Heng Mui Keng Terrace, Singapore 119613 [email protected] Abstract. Stream cipher HC-256 is proposed in this paper. It generates keystream from a 256-bit secret key and a 256-bit initialization vector. HC-256 consists of two secret tables, each one with 1024 32-bit elements. The two tables are used as S-Box alternatively. At each step one element of a table is updated and one 32-bit output is generated. The encryption speed of the C implementation of HC-256 is about 1.9 bit per clock cycle (4.2 clock cycle per byte) on the Intel Pentium 4 processor. 1 Introduction Stream ciphers are used for shared-key encryption. The modern software efficient stream ciphers can run 4-to-5 times faster than block ciphers. However, very few efficient and secure stream ciphers have been published. Even the most widely used stream cipher RC4 [25] has several weaknesses [14, 16, 22, 9, 10, 17, 21]. In the recent NESSIE project all the six stream cipher submissions cannot meet the stringent security requirements [23]. In this paper we aim to design a very simple, secure, software-efficient and freely-available stream cipher. HC-256 is the stream cipher we proposed in this paper. It consists of two secret tables, each one with 1024 32-bit elements. At each step we update one element of a table with non-linear feedback function. Every 2048 steps all the elements of the two tables are updated. -
Design and Analysis of Lightweight Block Ciphers : a Focus on the Linear
Design and Analysis of Lightweight Block Ciphers: A Focus on the Linear Layer Christof Beierle Doctoral Dissertation Faculty of Mathematics Ruhr-Universit¨atBochum December 2017 Design and Analysis of Lightweight Block Ciphers: A Focus on the Linear Layer vorgelegt von Christof Beierle Dissertation zur Erlangung des Doktorgrades der Naturwissenschaften an der Fakult¨atf¨urMathematik der Ruhr-Universit¨atBochum Dezember 2017 First reviewer: Prof. Dr. Gregor Leander Second reviewer: Prof. Dr. Alexander May Date of oral examination: February 9, 2018 Abstract Lots of cryptographic schemes are based on block ciphers. Formally, a block cipher can be defined as a family of permutations on a finite binary vector space. A majority of modern constructions is based on the alternation of a nonlinear and a linear operation. The scope of this work is to study the linear operation with regard to optimized efficiency and necessary security requirements. Our main topics are • the problem of efficiently implementing multiplication with fixed elements in finite fields of characteristic two. • a method for finding optimal alternatives for the ShiftRows operation in AES-like ciphers. • the tweakable block ciphers Skinny and Mantis. • the effect of the choice of the linear operation and the round constants with regard to the resistance against invariant attacks. • the derivation of a security argument for the block cipher Simon that does not rely on computer-aided methods. Zusammenfassung Viele kryptographische Verfahren basieren auf Blockchiffren. Formal kann eine Blockchiffre als eine Familie von Permutationen auf einem endlichen bin¨arenVek- torraum definiert werden. Eine Vielzahl moderner Konstruktionen basiert auf der wechselseitigen Anwendung von nicht-linearen und linearen Abbildungen. -
AES3 Presentation
Cryptanalytic Progress: Lessons for AES John Kelsey1, Niels Ferguson1, Bruce Schneier1, and Mike Stay2 1 Counterpane Internet Security, Inc., 3031 Tisch Way, 100 Plaza East, San Jose, CA 95128, USA 2 AccessData Corp., 2500 N University Ave. Ste. 200, Provo, UT 84606, USA 1 Introduction The cryptanalytic community is currently evaluating five finalist algorithms for the AES. Within the next year, one or more ciphers will be chosen. In this note, we argue caution in selecting a finalist with a small security margin. Known attacks continuously improve over time, and it is impossible to predict future cryptanalytic advances. If an AES algorithm chosen today is to be encrypting data twenty years from now (that may need to stay secure for another twenty years after that), it needs to be a very conservative algorithm. In this paper, we review cryptanalytic progress against three well-regarded block ciphers and discuss the development of new cryptanalytic tools against these ciphers over time. This review illustrates how cryptanalytic progress erodes a cipher’s security margin. While predicting such progress in the future is clearly not possible, we claim that assuming that no such progress can or will occur is dangerous. Our three examples are DES, IDEA, and RC5. These three ciphers have fundamentally different structures and were designed by entirely different groups. They have been analyzed by many researchers using many different techniques. More to the point, each cipher has led to the development of new cryptanalytic techniques that not only have been applied to that cipher, but also to others. 2 DES DES was developed by IBM in the early 1970s, and standardized made into a standard by NBS (the predecessor of NIST) [NBS77]. -
Two Linear Distinguishing Attacks on VMPC and RC4A and Weakness of RC4 Family of Stream Ciphers (Corrected)
Two Linear Distinguishing Attacks on VMPC and RC4A and Weakness of RC4 Family of Stream Ciphers (Corrected) Alexander Maximov Dept. of Information Technology, Lund University, Sweden P.O. Box 118, 221 00 Lund, Sweden [email protected] Abstract. 1 At FSE 2004 two new stream ciphers VMPC and RC4A have been proposed. VMPC is a generalisation of the stream cipher RC4, whereas RC4A is an attempt to increase the security of RC4 by introducing an additional permuter in the design. This paper is the first work presenting attacks on VMPC and RC4A. We propose two linear distinguishing attacks, one on VMPC of complexity 239.97, and one on RC4A of complexity 258.Wein- vestigate the RC4 family of stream ciphers and show some theoretical weaknesses of such constructions. Keywords: RC4, VMPC, RC4A, cryptanalysis, linear distinguishing attack. 1 Introduction Stream ciphers are very important cryptographic primitives. Many new designs appear at different conferences and proceedings every year. In 1987, Ron Rivest from RSA Data Security, Inc. made a design of a byte oriented stream cipher called RC4 [1]. This cipher found its application in many Internet and security protocols. The design was kept secret up to 1994, when the alleged specification of RC4 was leaked for the first time [2]. Since that time many cryptanalysis attempts were done on RC4 [3–7]. At FSE 2004, a new stream cipher VMPC [8] was proposed by Bartosz Zoltak, which appeared to be a modification of the RC4 stream cipher. In cryptanalysis, a linear distinguishing attack is one of the most common attacks on stream ciphers.