Characteristics of Key-Dependent S-Boxes: the Case of Twofish
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Impossible Differentials in Twofish
Twofish Technical Report #5 Impossible differentials in Twofish Niels Ferguson∗ October 19, 1999 Abstract We show how an impossible-differential attack, first applied to DEAL by Knudsen, can be applied to Twofish. This attack breaks six rounds of the 256-bit key version using 2256 steps; it cannot be extended to seven or more Twofish rounds. Keywords: Twofish, cryptography, cryptanalysis, impossible differential, block cipher, AES. Current web site: http://www.counterpane.com/twofish.html 1 Introduction 2.1 Twofish as a pure Feistel cipher Twofish is one of the finalists for the AES [SKW+98, As mentioned in [SKW+98, section 7.9] and SKW+99]. In [Knu98a, Knu98b] Lars Knudsen used [SKW+99, section 7.9.3] we can rewrite Twofish to a 5-round impossible differential to attack DEAL. be a pure Feistel cipher. We will demonstrate how Eli Biham, Alex Biryukov, and Adi Shamir gave the this is done. The main idea is to save up all the ro- technique the name of `impossible differential', and tations until just before the output whitening, and applied it with great success to Skipjack [BBS99]. apply them there. We will use primes to denote the In this report we show how Knudsen's attack can values in our new representation. We start with the be applied to Twofish. We use the notation from round values: [SKW+98] and [SKW+99]; readers not familiar with R0 = ROL(Rr;0; (r + 1)=2 ) the notation should consult one of these references. r;0 b c R0 = ROR(Rr;1; (r + 1)=2 ) r;1 b c R0 = ROL(Rr;2; r=2 ) 2 The attack r;2 b c R0 = ROR(Rr;3; r=2 ) r;3 b c Knudsen's 5-round impossible differential works for To get the same output we update the rule to com- any Feistel cipher where the round function is in- pute the output whitening. -
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. -
The Long Road to the Advanced Encryption Standard
The Long Road to the Advanced Encryption Standard Jean-Luc Cooke CertainKey Inc. [email protected], http://www.certainkey.com/˜jlcooke Abstract 1 Introduction This paper will start with a brief background of the Advanced Encryption Standard (AES) process, lessons learned from the Data Encryp- tion Standard (DES), other U.S. government Two decades ago the state-of-the-art in cryptographic publications and the fifteen first the private sector cryptography was—we round candidate algorithms. The focus of the know now—far behind the public sector. presentation will lie in presenting the general Don Coppersmith’s knowledge of the Data design of the five final candidate algorithms, Encryption Standard’s (DES) resilience to and the specifics of the AES and how it dif- the then unknown Differential Cryptanaly- fers from the Rijndael design. A presentation sis (DC), the design principles used in the on the AES modes of operation and Secure Secure Hash Algorithm (SHA) in Digital Hash Algorithm (SHA) family of algorithms Signature Standard (DSS) being case and will follow and will include discussion about point[NISTDSS][NISTDES][DC][NISTSHA1]. how it is directly implicated by AES develop- ments. The selection and design of the DES was shrouded in controversy and suspicion. This very controversy has lead to a fantastic acceler- Intended Audience ation in private sector cryptographic advance- ment. So intrigued by the NSA’s modifica- tions to the Lucifer algorithm, researchers— This paper was written as a supplement to a academic and industry alike—powerful tools presentation at the Ottawa International Linux in assessing block cipher strength were devel- Symposium. -
Twofish Algorithm for Encryption and Decryption
© 2019 JETIR January 2019, Volume 6, Issue 1 www.jetir.org (ISSN-2349-5162) TWOFISH ALGORITHM FOR ENCRYPTION AND DECRYPTION *1 Anil G. Sawant,2 Dr. Vilas N. Nitnaware, 3Pranali Dengale, 4Sayali Garud, 5Akshay Gandewar *1 Research Scholar (Asst. Professor) ,2 Principal, 3Student, 4Student, 5Student *1 JJT University, Rajasthan, India (Trinity College of Engineering and Research, Pune), 2 D. Y. Patil School of Engineering Academy, Pune, India, 3Trinity College of Engineering and Research Pune, 4Trinity College of Engineering and Research, Pune5 Trinity College of Engineering and Research, Pune. Email:* [email protected], [email protected], [email protected], [email protected], [email protected] Abstract - In this paper, a novel VLSI architecture of the TWOFISH block cipher is presented. TWOFISH is one of the most secure cryptographic algorithm. The characteristic features of the TWOFISH Algorithm are good security margin and has fast encryption/decryption in software, moderately fast in hardware and moderate flexibility. Based on the loop-folding technique combined with efficient hardware mapping, the architecture of twofish Algorithm can make data encryption/ decryption more efficient and secure. To demonstrate the correctness of our Algorithm , a prototype chip for the architecture has been implemented. The chip can achieve an encryption rate and low power consumption while operating clock rate. Designed TWOFISH cryptographic algorithm improved the MDS block that improved a process speed, and decreased complexity and power consumption. Therefore, the chip can be applied to encryption in high-speed networking protocols like ATM networks. This paper will be implemented in Xilinx 14.2 in Verilog HDL. Keywords - Verilog , MDS, PHT, DES, Function F and h. -
Bruce Schneier 2
Committee on Energy and Commerce U.S. House of Representatives Witness Disclosure Requirement - "Truth in Testimony" Required by House Rule XI, Clause 2(g)(5) 1. Your Name: Bruce Schneier 2. Your Title: none 3. The Entity(ies) You are Representing: none 4. Are you testifying on behalf of the Federal, or a State or local Yes No government entity? X 5. Please list any Federal grants or contracts, or contracts or payments originating with a foreign government, that you or the entity(ies) you represent have received on or after January 1, 2015. Only grants, contracts, or payments related to the subject matter of the hearing must be listed. 6. Please attach your curriculum vitae to your completed disclosure form. Signatur Date: 31 October 2017 Bruce Schneier Background Bruce Schneier is an internationally renowned security technologist, called a security guru by the Economist. He is the author of 14 books—including the New York Times best-seller Data and Goliath: The Hidden Battles to Collect Your Data and Control Your World—as well as hundreds of articles, essays, and academic papers. His influential newsletter Crypto-Gram and blog Schneier on Security are read by over 250,000 people. Schneier is a fellow at the Berkman Klein Center for Internet and Society at Harvard University, a Lecturer in Public Policy at the Harvard Kennedy School, a board member of the Electronic Frontier Foundation and the Tor Project, and an advisory board member of EPIC and VerifiedVoting.org. He is also a special advisor to IBM Security and the Chief Technology Officer of IBM Resilient. -
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). -
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. -
On the Twofish Key Schedule
On the Two sh Key Schedule ? ?? ??? y Bruce Schneier , John Kelsey , Doug Whiting ,David Wagner , Chris z x Hall , and Niels Ferguson Abstract. Two sh is a new blo ck cipher with a 128 bit blo ck, and a key length of 128, 192, or 256 bits, which has b een submitted as an AES candidate. In this pap er, we brie y review the structure of Two sh, and then discuss the key schedule of Two sh, and its resistance to attack. We close with some op en questions on the securityofTwo sh's key schedule. 1 Intro duction NIST announced the Advanced Encryption Standard AES program in 1997 [NIST97a]. NIST solicited comments from the public on the prop osed standard, and eventually issued a call for algorithms to satisfy the standard [NIST97b]. The intention is for NIST to make all submissions public and eventually, through a pro cess of public review and comment, cho ose a new encryption standard to replace DES. Two sh is our submission to the AES selection pro cess. It meets all the required NIST criteria|128-bit blo ck; 128-, 192-, and 256-bit key; ecienton various platforms; etc.|and some strenuous design requirements, p erformance as well as cryptographic, of our own. Two sh was designed to meet NIST's design criteria for AES [NIST97b]. Sp eci cally, they are: { A 128-bit symmetric blo ck cipher. { Key lengths of 128 bits, 192 bits, and 256 bits. { No weak keys. { Eciency, b oth on the Intel Pentium Pro and other software and hardware platforms. -
The Twofish Team's Final Comments on AES Selection
The Twofish Team’s Final Comments on AES Selection Bruce Schneier∗ John Kelseyy Doug Whitingz David Wagnerx Chris Hall{ Niels Fergusonk Tadayoshi Kohno∗∗ Mike Stayyy May 15, 2000 1 Introduction In 1996, the National Institute of Standards and Technology initiated a program to choose an Advanced Encryption Standard (AES) to replace DES [NIST97a]. In 1997, after soliciting public comment on the process, NIST requested pro- posed encryption algorithms from the cryptographic community [NIST97b]. Fif- teen algorithms were submitted to NIST in 1998. NIST held two AES Candidate Conferences—the first in California in 1998 [NIST98], and the second in Rome in 1999 [NIST99a]—and then chose five finalist candidates [NIST99b]: MARS [BCD+98], RC6 [RRS+98], Rijndael [DR98], Serpent [ABK98], and Twofish [SKW+98a]. NIST held the Third AES Candidate Conference in New York in April 2000 [NIST00], and is about to choose a single algorithm to become AES. We, the authors of the Twofish algorithm and members of the extended Twofish team, would like to express our continued support for Twofish. Since first proposing the algorithm in 1998 [SKW+98a, SKW+99c], we have con- tinued to perform extensive analysis of the cipher, with respect to both secu- ∗Counterpane Internet Security, Inc., 3031 Tisch Way, 100 Plaza East, San Jose, CA 95128, USA; [email protected]. yCounterpane Internet Security, Inc. [email protected]. zHi/fn, Inc., 5973 Avenida Encinas Suite 110, Carlsbad, CA 92008, USA; dwhiting@hifn. com. xUniversity of California Berkeley, Soda Hall, Berkeley, CA 94720, USA; [email protected]. edu. {Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544; cjh@princeton. -
Boomerang Uniformity of Popular S-Box Constructions
Boomerang Uniformity of Popular S-box Constructions Shizhu Tian1;3;4, Christina Boura1;2, and Leo´ Perrin1 1 Inria, Paris, France. [email protected] 2 Universite´ de Versailles, Versailles, France [email protected] 3 State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China 4 School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China [email protected] Abstract. In order to study the resistance of a block cipher against boomerang attacks, a tool called the Boomerang Connectivity Table (BCT) for S-boxes was recently introduced. Very little is known today about the properties of this table especially for bijective S-boxes defined for n variables with n 0 mod 4. In this work we study the boomerang uniformity of some popular constructions used≡ for building large S-boxes, e.g. for 8 variables, from smaller ones. We show that the BCTs of all the studied constructions have abnormally high values in some positions. This remark permits us in some cases to link the boomerang properties of an S-box with other well-known cryptanalytic techniques on such constructions while in other cases it leads to the discovery of new ones. A surprising outcome concerns notably the Feistel and MISTY networks. While these two structures are very similar, their boomerang uniformity can be very different. In a second time, we investigate the boomerang uniformity under EA-equivalence for Gold and the inverse function (as used respectively in MPC-friendly ciphers and the AES) and we prove that the boomerang uniformity is EA-invariant in these cases. -
A Simple Power Analysis Attack on the Twofish Key Schedule
A Simple Power Analysis Attack on the TwoFish Key Schedule Jose Javier Gonzalez Ortiz∗ Kevin J. Compton† Universidad Pontificia Comillas University of Michigan August 24, 2016 Abstract This paper introduces an SPA power attack on the 8-bit implementation of the TwoFish block cipher. The attack is able to unequivocally recover the secret key even under substantial amounts of error. An initial algorithm is described using exhaustive search on error free data. An error resistant algorithm is later described. It employs several thresholding preprocessing stages followed by a combined approach of least mean squares and an optimized Hamming mask search. Further analysis of 32 and 64-bit TwoFish implementations reveals that they are similarly vulnerable to the described SPA attack. Keywords: TwoFish, SPA, Power Attack, Block Cipher, Error Tolerance 1 Introduction In 1997, the National Institute of Standards and Technology (NIST) started the Advanced Encryption Standard process in order to designate a successor of the aged Digital Encryption Standard (DES). Among the five finalists is the TwoFish block cipher, and although in the end Rijndael was designated as the winner of the AES contest, TwoFish was one of the strongest contenders, excelling in categories such as general security, hardware performance and design features. After the introduction of linear and differential attacks they became a concern in the design of new ciphers. Thus, the encryption and key schedule algorithms of the submissions were designed to prevent these types of attacks. Nevertheless, among the finalists both AES and Serpent have been found to be susceptible to side-channel attacks. These attacks focus on the information that can be gained from the physical implementation of cryptosystems in especially accessible systems such as smart cards. -
Performance Comparison of the AES Submissions
Performance Comparison of the AES Submissions Bruce Schneier∗ John Kelseyy Doug Whitingz David Wagnerx Chris Hall{ Niels Ferguson k Version 2.0 February 1, 1999 1 Introduction of the algorithms have different performance char- acteristics for different key lengths. The results are The principal goal guiding the design of any encryp- summarized in Table 1. tion algorithm must be security. In the real world, Nine algorithms|CAST-256, Crypton, DFC, however, performance and implementation cost are E2, Frog, HPC, Mars, RC6, and Serpent|are com- always of concern. Making the assumption that the pletely independent of key length. Two algorithms| major AES candidates are secure (a big assumption, Loki97 and Twofish—encrypt and decrypt indepen- to be sure, but one that is best dealt with in an- dent of key length, but take different times to set up other paper), the most important properties the al- different-size keys1. Twofish takes longer to set up gorithms will be judged on will be the performance a longer key, while Loki97 actually takes less time and cost of implementation. to set up a longer key than it does to set up a In this paper, we will completely ignore secu- shorter key. Four algorithms|DEAL, Magenta, Ri- rity. Instead, we will compare the performance of jndael, and SAFER+|encrypt and decrypt at dif- the leading AES candidates on a variety of common ferent speeds, depending on key length. platforms: 32-bit CPUs, 64-bit CPUs, cheap 8-bit In this paper, we will concentrate on key setup smart-card CPUs, and dedicated hardware.