Design of a New Block Cipher Algorithm
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Basic Cryptography
Basic cryptography • How cryptography works... • Symmetric cryptography... • Public key cryptography... • Online Resources... • Printed Resources... I VP R 1 © Copyright 2002-2007 Haim Levkowitz How cryptography works • Plaintext • Ciphertext • Cryptographic algorithm • Key Decryption Key Algorithm Plaintext Ciphertext Encryption I VP R 2 © Copyright 2002-2007 Haim Levkowitz Simple cryptosystem ... ! ABCDEFGHIJKLMNOPQRSTUVWXYZ ! DEFGHIJKLMNOPQRSTUVWXYZABC • Caesar Cipher • Simple substitution cipher • ROT-13 • rotate by half the alphabet • A => N B => O I VP R 3 © Copyright 2002-2007 Haim Levkowitz Keys cryptosystems … • keys and keyspace ... • secret-key and public-key ... • key management ... • strength of key systems ... I VP R 4 © Copyright 2002-2007 Haim Levkowitz Keys and keyspace … • ROT: key is N • Brute force: 25 values of N • IDEA (international data encryption algorithm) in PGP: 2128 numeric keys • 1 billion keys / sec ==> >10,781,000,000,000,000,000,000 years I VP R 5 © Copyright 2002-2007 Haim Levkowitz Symmetric cryptography • DES • Triple DES, DESX, GDES, RDES • RC2, RC4, RC5 • IDEA Key • Blowfish Plaintext Encryption Ciphertext Decryption Plaintext Sender Recipient I VP R 6 © Copyright 2002-2007 Haim Levkowitz DES • Data Encryption Standard • US NIST (‘70s) • 56-bit key • Good then • Not enough now (cracked June 1997) • Discrete blocks of 64 bits • Often w/ CBC (cipherblock chaining) • Each blocks encr. depends on contents of previous => detect missing block I VP R 7 © Copyright 2002-2007 Haim Levkowitz Triple DES, DESX, -
Serpent: a Proposal for the Advanced Encryption Standard
Serpent: A Proposal for the Advanced Encryption Standard Ross Anderson1 Eli Biham2 Lars Knudsen3 1 Cambridge University, England; email [email protected] 2 Technion, Haifa, Israel; email [email protected] 3 University of Bergen, Norway; email [email protected] Abstract. We propose a new block cipher as a candidate for the Ad- vanced Encryption Standard. Its design is highly conservative, yet still allows a very efficient implementation. It uses S-boxes similar to those of DES in a new structure that simultaneously allows a more rapid avalanche, a more efficient bitslice implementation, and an easy anal- ysis that enables us to demonstrate its security against all known types of attack. With a 128-bit block size and a 256-bit key, it is as fast as DES on the market leading Intel Pentium/MMX platforms (and at least as fast on many others); yet we believe it to be more secure than three-key triple-DES. 1 Introduction For many applications, the Data Encryption Standard algorithm is nearing the end of its useful life. Its 56-bit key is too small, as shown by a recent distributed key search exercise [28]. Although triple-DES can solve the key length problem, the DES algorithm was also designed primarily for hardware encryption, yet the great majority of applications that use it today implement it in software, where it is relatively inefficient. For these reasons, the US National Institute of Standards and Technology has issued a call for a successor algorithm, to be called the Advanced Encryption Standard or AES. -
Rotational Cryptanalysis of ARX
Rotational Cryptanalysis of ARX Dmitry Khovratovich and Ivica Nikoli´c University of Luxembourg [email protected], [email protected] Abstract. In this paper we analyze the security of systems based on modular additions, rotations, and XORs (ARX systems). We provide both theoretical support for their security and practical cryptanalysis of real ARX primitives. We use a technique called rotational cryptanalysis, that is universal for the ARX systems and is quite efficient. We illustrate the method with the best known attack on reduced versions of the block cipher Threefish (the core of Skein). Additionally, we prove that ARX with constants are functionally complete, i.e. any function can be realized with these operations. Keywords: ARX, cryptanalysis, rotational cryptanalysis. 1 Introduction A huge number of symmetric primitives using modular additions, bitwise XORs, and intraword rotations have appeared in the last 20 years. The most famous are the hash functions from MD-family (MD4, MD5) and their descendants SHA-x. While modular addition is often approximated with XOR, for random inputs these operations are quite different. Addition provides diffusion and nonlinearity, while XOR does not. Although the diffusion is relatively slow, it is compensated by a low price of addition in both software and hardware, so primitives with relatively high number of additions (tens per byte) are still fast. The intraword rotation removes disbalance between left and right bits (introduced by the ad- dition) and speeds up the diffusion. Many recently design primitives use only XOR, addition, and rotation so they are grouped into a single family ARX (Addition-Rotation-XOR). -
Data Encryption Standard
Data Encryption Standard The Data Encryption Standard (DES /ˌdiːˌiːˈɛs, dɛz/) is a Data Encryption Standard symmetric-key algorithm for the encryption of electronic data. Although insecure, it was highly influential in the advancement of modern cryptography. Developed in the early 1970s atIBM and based on an earlier design by Horst Feistel, the algorithm was submitted to the National Bureau of Standards (NBS) following the agency's invitation to propose a candidate for the protection of sensitive, unclassified electronic government data. In 1976, after consultation with theNational Security Agency (NSA), the NBS eventually selected a slightly modified version (strengthened against differential cryptanalysis, but weakened against brute-force attacks), which was published as an official Federal Information Processing Standard (FIPS) for the United States in 1977. The publication of an NSA-approved encryption standard simultaneously resulted in its quick international adoption and widespread academic scrutiny. Controversies arose out of classified The Feistel function (F function) of DES design elements, a relatively short key length of the symmetric-key General block cipher design, and the involvement of the NSA, nourishing Designers IBM suspicions about a backdoor. Today it is known that the S-boxes that had raised those suspicions were in fact designed by the NSA to First 1975 (Federal Register) actually remove a backdoor they secretly knew (differential published (standardized in January 1977) cryptanalysis). However, the NSA also ensured that the key size was Derived Lucifer drastically reduced such that they could break it by brute force from [2] attack. The intense academic scrutiny the algorithm received over Successors Triple DES, G-DES, DES-X, time led to the modern understanding of block ciphers and their LOKI89, ICE cryptanalysis. -
Investigations of Cellular Automata-Based Stream Ciphers
Rochester Institute of Technology RIT Scholar Works Theses 2008 Investigations of cellular automata-based stream ciphers Joseph S. Testa Follow this and additional works at: https://scholarworks.rit.edu/theses Recommended Citation Testa, Joseph S., "Investigations of cellular automata-based stream ciphers" (2008). Thesis. Rochester Institute of Technology. Accessed from This Thesis is brought to you for free and open access by RIT Scholar Works. It has been accepted for inclusion in Theses by an authorized administrator of RIT Scholar Works. For more information, please contact [email protected]. Investigations of Cellular Automata-based Stream Ciphers by Joseph S. Testa II A Thesis Submitted to the Faculty of the ROCHESTER INSTITUTE OF TECHNOLOGY In partial fulfillment of the requirements for the Degree of Master of Science in Computer Security and Information Assurance by _________________________________ May 12, 2008 APPROVED: __________________________________ Professor Alan Kaminsky, Thesis Advisor __________________________________ Professor Hans-Peter Bischof, Reader __________________________________ Professor Peter Lutz, Observer ABSTRACT In this thesis paper, we survey the literature arising from Stephan Wolfram©s original paper, ªCryptography with Cellular Automataº [WOL86] that first suggested stream ciphers could be constructed with cellular automata. All published research directly and indirectly quoting this paper are summarized up until the present. We also present a novel stream cipher design called Sum-4 that is shown to have good randomness properties and resistance to approximation using linear finite shift registers. Sum-4 is further studied to determine its effective strength with respect to key size given that an attack with a SAT solver is more efficient than a brute-force attack. -
Improved Masking for Tweakable Blockciphers with Applications to Authenticated Encryption
Improved Masking for Tweakable Blockciphers with Applications to Authenticated Encryption Robert Granger1, Philipp Jovanovic2, Bart Mennink3, and Samuel Neves4 1 Laboratory for Cryptologic Algorithms, École polytechnique fédérale de Lausanne, Switzerland, [email protected] 2 Decentralized and Distributed Systems Lab, École polytechnique fédérale de Lausanne, Switzerland, [email protected] 3 Dept. Electrical Engineering, ESAT/COSIC, KU Leuven, and iMinds, Belgium, [email protected] 4 CISUC, Dept. of Informatics Engineering, University of Coimbra, Portugal, [email protected] Abstract. A popular approach to tweakable blockcipher design is via masking, where a certain primitive (a blockcipher or a permutation) is preceded and followed by an easy-to-compute tweak-dependent mask. In this work, we revisit the principle of masking. We do so alongside the introduction of the tweakable Even-Mansour construction MEM. Its masking function combines the advantages of word-oriented LFSR- and powering-up-based methods. We show in particular how recent advancements in computing discrete logarithms over finite fields of characteristic 2 can be exploited in a constructive way to realize highly efficient, constant-time masking functions. If the masking satisfies a set of simple conditions, then MEM is a secure tweakable blockcipher up to the birthday bound. The strengths of MEM are exhibited by the design of fully parallelizable authenticated encryption schemes OPP (nonce-respecting) and MRO (misuse-resistant). If instantiated with a reduced-round BLAKE2b permutation, OPP and MRO achieve speeds up to 0.55 and 1.06 cycles per byte on the Intel Haswell microarchitecture, and are able to significantly outperform their closest competitors. -
Identifying Open Research Problems in Cryptography by Surveying Cryptographic Functions and Operations 1
International Journal of Grid and Distributed Computing Vol. 10, No. 11 (2017), pp.79-98 http://dx.doi.org/10.14257/ijgdc.2017.10.11.08 Identifying Open Research Problems in Cryptography by Surveying Cryptographic Functions and Operations 1 Rahul Saha1, G. Geetha2, Gulshan Kumar3 and Hye-Jim Kim4 1,3School of Computer Science and Engineering, Lovely Professional University, Punjab, India 2Division of Research and Development, Lovely Professional University, Punjab, India 4Business Administration Research Institute, Sungshin W. University, 2 Bomun-ro 34da gil, Seongbuk-gu, Seoul, Republic of Korea Abstract Cryptography has always been a core component of security domain. Different security services such as confidentiality, integrity, availability, authentication, non-repudiation and access control, are provided by a number of cryptographic algorithms including block ciphers, stream ciphers and hash functions. Though the algorithms are public and cryptographic strength depends on the usage of the keys, the ciphertext analysis using different functions and operations used in the algorithms can lead to the path of revealing a key completely or partially. It is hard to find any survey till date which identifies different operations and functions used in cryptography. In this paper, we have categorized our survey of cryptographic functions and operations in the algorithms in three categories: block ciphers, stream ciphers and cryptanalysis attacks which are executable in different parts of the algorithms. This survey will help the budding researchers in the society of crypto for identifying different operations and functions in cryptographic algorithms. Keywords: cryptography; block; stream; cipher; plaintext; ciphertext; functions; research problems 1. Introduction Cryptography [1] in the previous time was analogous to encryption where the main task was to convert the readable message to an unreadable format. -
Rotational Rebound Attacks on Reduced Skein
Rotational Rebound Attacks on Reduced Skein Dmitry Khovratovich1;2, Ivica Nikoli´c1, and Christian Rechberger3 1: University of Luxembourg; 2: Microsoft Research Redmond, USA; 3: Katholieke Universiteit Leuven, ESAT/COSIC, and IBBT, Belgium [email protected], [email protected], [email protected] Abstract. In this paper we combine the recent rotational cryptanalysis with the rebound attack, which results in the best cryptanalysis of Skein, a candidate for the SHA-3 competition. The rebound attack approach was so far only applied to AES-like constructions. For the first time, we show that this approach can also be applied to very different construc- tions. In more detail, we develop a number of techniques that extend the reach of both the inbound and the outbound phase, leading to rotational collisions for about 53/57 out of the 72 rounds of the Skein-256/512 com- pression function and the Threefish cipher. At this point, the results do not threaten the security of the full-round Skein hash function. The new techniques include an analytical search for optimal input values in the rotational cryptanalysis, which allows to extend the outbound phase of the attack with a precomputation phase, an approach never used in any rebound-style attack before. Further we show how to combine multiple inside-out computations and neutral bits in the inbound phase of the rebound attack, and give well-defined rotational distinguishers as certificates of weaknesses for the compression functions and block ciphers. Keywords: Skein, SHA-3, hash function, compression function, cipher, rotational cryptanalysis, rebound attack, distinguisher. 1 Introduction Rotational cryptanalysis and the rebound attack proved to be very effective in the analysis of SHA-3 candidates and related primitives. -
An Efficient VHDL Description and Hardware Implementation of The
An Efficient VHDL Description and Hardware Implementation of the Triple DES Algorithm A thesis submitted to the Graduate School of the University of Cincinnati In partial fulfillment of the requirements for the degree of Master of Science In the Department of Electrical and Computer Engineering Of the College of Engineering and Applied Sciences June 2014 By Lathika SriDatha Namburi B.Tech, Electronics and Communications Engineering, Jawaharlal Nehru Technological University, Hyderabad, India, 2011 Thesis Advisor and Committee Chair: Dr. Carla Purdy ABSTRACT Data transfer is becoming more and more essential these days with applications ranging from everyday social networking to important banking transactions. The data that is being sent or received shouldn’t be in its original form but must be coded to avoid the risk of eavesdropping. A number of algorithms to encrypt and decrypt the data are available depending on the level of security to be achieved. Many of these algorithms require special hardware which makes them expensive for applications which require a low to medium level of data security. FPGAs are a cost effective way to implement such algorithms. We briefly survey several encryption/decryption algorithms and then focus on one of these, the Triple DES. This algorithm is currently used in the electronic payment industry as well as in applications such as Microsoft OneNote, Microsoft Outlook and Microsoft system center configuration manager to password protect user content and data. We implement the algorithm in a Hardware Description Language, specifically VHDL and deploy it on an Altera DE1 board which uses a NIOS II soft core processor. The algorithm takes input encoded using a software based Huffman encoding to reduce its redundancy and compress the data. -
Differential Cryptanalysis of the Data Encryption Standard
Differential Cryptanalysis of the Data Encryption Standard Eli Biham1 Adi Shamir2 December 7, 2009 1Computer Science Department, Technion – Israel Institute of Technology, Haifa 32000, Israel. Email: [email protected], WWW: http://www.cs.technion.ac.il/˜biham/. 2Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot 76100, Israel. Email: [email protected]. This versionofthebookisprocessedfromtheauthor’soriginalLaTeXfiles,andmaybe differentlypaginatedthantheprintedbookbySpringer(1993). Copyright:EliBihamandAdiShamir. Preface The security of iterated cryptosystems and hash functions has been an active research area for many years. The best known and most widely used function of this type is the Data Encryption Standard (DES). It was developed at IBM and adopted by the National Bureau of Standards in the mid 70’s, and has successfully withstood all the attacks published so far in the open literature. Since the introduction of DES, many other iterated cryptosystems were developed, but their design and analysis were based on ad-hoc heuristic arguments, with no theoretical justification. In this book, we develop a new type of cryptanalytic attack which can be successfully applied to many iterated cryptosystems and hash functions. It is primarily a chosen plaintext attack but under certain circumstances, it can also be applied as a known plaintext attack. We call it “differen- tial cryptanalysis”, since it analyzes the evolution of differences when two related plaintexts are encrypted under the same key. Differential cryptanalysis is the first published attack which is capable of breaking the full 16-round DES in less than 255 complexity. The data analysis phase computes the key by analyzing about 236 ciphertexts in 237 time. -
A Survey of ARX-Based Symmetric-Key Primitives
397 International Journal of Communication Networks and Information Security (IJCNIS) Vol. 11, No. 3, December 2019 A Survey of ARX-based Symmetric-key Primitives Nur Fasihah Mohd Esa1, Shekh Faisal Abdul-Latip1 and Mohd Rizuan Baharon1 1INSFORNET Centre for Advanced Computing Technology, Fakulti Teknologi Maklumat dan Komunikasi, Universiti Teknikal Malaysia Melaka Abstract: Addition Rotation XOR is suitable for fast and fast software-oriented implementation. Nevertheless, the implementation symmetric –key primitives, such as stream and security properties are still not well studied in literature as block ciphers. This paper presents a review of several block and compared to SPN and Feistel ciphers. stream ciphers based on ARX construction followed by the Observation of addition from [4]: First, addition modulo discussion on the security analysis of symmetric key primitives n where the best attack for every cipher was carried out. We 2 on the window can be approximated by addition modulo benchmark the implementation on software and hardware platforms according to the evaluation metrics. Therefore, this paper aims at . Second, this addition gives a perfect approximation if providing a reference for a better selection of ARX design strategy. the carry into the window is estimated correctly. The probability distribution of the carry is generated, depending Keywords: ARX, cryptography, cryptanalysis, design, stream on the probability of approximation correctness. The ciphers, block ciphers. probability of the carry is independent of w; in fact, for 1. Introduction uniformly distributed addends it is , where The rapid development of today’s computing technology has is the position of the least significant bit in the window. made computer devices became smaller which in turn poses Thirdly, the probability of correctness for a random guess of a challenge to their security aspects. -
Rotational Analysis of Chacha Permutation
Rotational analysis of ChaCha permutation Stefano Barbero1, Emanuele Bellini2, and Rusydi Makarim2 1 Politecnico di Torino, Italy 2 Cryptography Research Centre, Technology Innovation Institute, UAE Abstract. We show that the underlying permutation of ChaCha20 stream cipher does not behave as a random permutation for up to 17 rounds with respect to rotational cryptanalysis. In particular, we derive a lower and an upper bound for the rotational probability through ChaCha quarter round, we show how to extend the bound to a full round and then to the full permutation. The obtained bounds show that the probability to find − what we call a parallel rotational collision is, for example, less than 2 488 for 17 rounds of ChaCha permutation, while for a random permutation − of the same input size, this probability is 2 511. We remark that our distinguisher is not an attack to ChaCha20 stream cipher, but rather a theoretical analysis of its internal permutation from the point of view of rotational cryptanalysis. Keywords: ChaCha20 · Stream Cipher · Rotational cryptanalysis · Per- mutation · Distinguisher arXiv:2008.13406v1 [math.CO] 31 Aug 2020 Table of Contents Rotational analysis of ChaCha permutation ......................... 1 Stefano Barbero, Emanuele Bellini, and Rusydi Makarim 1 Introduction....................................... ............ 2 1.1 Ourcontribution .................................... ...... 3 1.2 Outlineofthepaper .................................. ..... 3 1.3 Relatedworks...................................... ....... 3 2