Revisiting Lightweight Block Ciphers: Review, Taxonomy and Future Directions
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The First Biclique Cryptanalysis of Serpent-256
The First Biclique Cryptanalysis of Serpent-256 Gabriel C. de Carvalho1, Luis A. B. Kowada1 1Instituto de Computac¸ao˜ – Universidade Federal Fluminense (UFF) – Niteroi´ – RJ – Brazil Abstract. The Serpent cipher was one of the finalists of the AES process and as of today there is no method for finding the key with fewer attempts than that of an exhaustive search of all possible keys, even when using known or chosen plaintexts for an attack. This work presents the first two biclique attacks for the full-round Serpent-256. The first uses a dimension 4 biclique while the second uses a dimension 8 biclique. The one with lower dimension covers nearly 4 complete rounds of the cipher, which is the reason for the lower time complex- ity when compared with the other attack (which covers nearly 3 rounds of the cipher). On the other hand, the second attack needs a lot less pairs of plain- texts for it to be done. The attacks require 2255:21 and 2255:45 full computations of Serpent-256 using 288 and 260 chosen ciphertexts respectively with negligible memory. 1. Introduction The Serpent cipher is, along with MARS, RC6, Twofish and Rijindael, one of the AES process finalists [Nechvatal et al. 2001] and has not had, since its proposal, its full round versions attacked. It is a Substitution Permutation Network (SPN) with 32 rounds, 128 bit block size and accepts keys of sizes 128, 192 and 256 bits. Serpent has been targeted by several cryptanalysis [Kelsey et al. 2000, Biham et al. 2001b, Biham et al. -
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. -
Chapter 3 – Block Ciphers and the Data Encryption Standard
Chapter 3 –Block Ciphers and the Data Cryptography and Network Encryption Standard Security All the afternoon Mungo had been working on Stern's Chapter 3 code, principally with the aid of the latest messages which he had copied down at the Nevin Square drop. Stern was very confident. He must be well aware London Central knew about that drop. It was obvious Fifth Edition that they didn't care how often Mungo read their messages, so confident were they in the by William Stallings impenetrability of the code. —Talking to Strange Men, Ruth Rendell Lecture slides by Lawrie Brown Modern Block Ciphers Block vs Stream Ciphers now look at modern block ciphers • block ciphers process messages in blocks, each one of the most widely used types of of which is then en/decrypted cryptographic algorithms • like a substitution on very big characters provide secrecy /hii/authentication services – 64‐bits or more focus on DES (Data Encryption Standard) • stream ciphers process messages a bit or byte at a time when en/decrypting to illustrate block cipher design principles • many current ciphers are block ciphers – better analysed – broader range of applications Block vs Stream Ciphers Block Cipher Principles • most symmetric block ciphers are based on a Feistel Cipher Structure • needed since must be able to decrypt ciphertext to recover messages efficiently • bloc k cihiphers lklook like an extremely large substitution • would need table of 264 entries for a 64‐bit block • instead create from smaller building blocks • using idea of a product cipher 1 Claude -
Block Ciphers and the Data Encryption Standard
Lecture 3: Block Ciphers and the Data Encryption Standard Lecture Notes on “Computer and Network Security” by Avi Kak ([email protected]) January 26, 2021 3:43pm ©2021 Avinash Kak, Purdue University Goals: To introduce the notion of a block cipher in the modern context. To talk about the infeasibility of ideal block ciphers To introduce the notion of the Feistel Cipher Structure To go over DES, the Data Encryption Standard To illustrate important DES steps with Python and Perl code CONTENTS Section Title Page 3.1 Ideal Block Cipher 3 3.1.1 Size of the Encryption Key for the Ideal Block Cipher 6 3.2 The Feistel Structure for Block Ciphers 7 3.2.1 Mathematical Description of Each Round in the 10 Feistel Structure 3.2.2 Decryption in Ciphers Based on the Feistel Structure 12 3.3 DES: The Data Encryption Standard 16 3.3.1 One Round of Processing in DES 18 3.3.2 The S-Box for the Substitution Step in Each Round 22 3.3.3 The Substitution Tables 26 3.3.4 The P-Box Permutation in the Feistel Function 33 3.3.5 The DES Key Schedule: Generating the Round Keys 35 3.3.6 Initial Permutation of the Encryption Key 38 3.3.7 Contraction-Permutation that Generates the 48-Bit 42 Round Key from the 56-Bit Key 3.4 What Makes DES a Strong Cipher (to the 46 Extent It is a Strong Cipher) 3.5 Homework Problems 48 2 Computer and Network Security by Avi Kak Lecture 3 Back to TOC 3.1 IDEAL BLOCK CIPHER In a modern block cipher (but still using a classical encryption method), we replace a block of N bits from the plaintext with a block of N bits from the ciphertext. -
Block Ciphers
Block Ciphers Chester Rebeiro IIT Madras CR STINSON : chapters 3 Block Cipher KE KD untrusted communication link Alice E D Bob #%AR3Xf34^$ “Attack at Dawn!!” message encryption (ciphertext) decryption “Attack at Dawn!!” Encryption key is the same as the decryption key (KE = K D) CR 2 Block Cipher : Encryption Key Length Secret Key Plaintext Ciphertext Block Cipher (Encryption) Block Length • A block cipher encryption algorithm encrypts n bits of plaintext at a time • May need to pad the plaintext if necessary • y = ek(x) CR 3 Block Cipher : Decryption Key Length Secret Key Ciphertext Plaintext Block Cipher (Decryption) Block Length • A block cipher decryption algorithm recovers the plaintext from the ciphertext. • x = dk(y) CR 4 Inside the Block Cipher PlaintextBlock (an iterative cipher) Key Whitening Round 1 key1 Round 2 key2 Round 3 key3 Round n keyn Ciphertext Block • Each round has the same endomorphic cryptosystem, which takes a key and produces an intermediate ouput • Size of the key is huge… much larger than the block size. CR 5 Inside the Block Cipher (the key schedule) PlaintextBlock Secret Key Key Whitening Round 1 Round Key 1 Round 2 Round Key 2 Round 3 Round Key 3 Key Expansion Expansion Key Key Round n Round Key n Ciphertext Block • A single secret key of fixed size used to generate ‘round keys’ for each round CR 6 Inside the Round Function Round Input • Add Round key : Add Round Key Mixing operation between the round input and the round key. typically, an ex-or operation Confusion Layer • Confusion layer : Makes the relationship between round Diffusion Layer input and output complex. -
On the Feistel Counterpart of the Boomerang Connectivity Table Introduction and Analysis of the FBCT
IACR Transactions on Symmetric Cryptology ISSN 2519-173X, Vol. 2020, No. 1, pp. 331–362. DOI:10.13154/tosc.v2020.i1.331-362 On the Feistel Counterpart of the Boomerang Connectivity Table Introduction and Analysis of the FBCT Hamid Boukerrou, Paul Huynh, Virginie Lallemand, Bimal Mandal and Marine Minier Université de Lorraine, CNRS, Inria, LORIA, F-54000 Nancy, France [email protected] Abstract. At Eurocrypt 2018, Cid et al. introduced the Boomerang Connectivity Table (BCT), a tool to compute the probability of the middle round of a boomerang distinguisher from the description of the cipher’s Sbox(es). Their new table and the following works led to a refined understanding of boomerangs, and resulted in a series of improved attacks. Still, these works only addressed the case of Substitution Permutation Networks, and completely left out the case of ciphers following a Feistel construction. In this article, we address this lack by introducing the FBCT, the Feistel counterpart of the BCT. We show that the coefficient at row ∆i, ∇o corresponds to the number of times the second order derivative at points (∆i, ∇o) cancels out. We explore the properties of the FBCT and compare it to what is known on the BCT. Taking matters further, we show how to compute the probability of a boomerang switch over multiple rounds with a generic formula. Keywords: Cryptanalysis · Feistel cipher · Boomerang attack · Boomerang switch 1 Introduction Boomerang attacks date back to 1999, when David Wagner introduced them at FSE to break COCONUT98 [Wag99]. When presented, this variant of differential attacks [BS91] shook up the conventional thinking that consisted in believing that a cipher with only small probability differentials is secure. -
Mirror Cipher Using Feistel Network
Mirror Cipher using Feistel Network 1 2 3 Ihsan Muhammad Asnadi Ranindya Paramitha Tony 123 Informatics Department, Institut Teknologi Bandung, Bandung 40132, Indonesia 1 2 3 E-mail: 1 [email protected] 1 [email protected] 1 [email protected] Abstract. Mirror cipher is a cipher built by creativity which has a specific feature of mirrored round function. As other ciphers, mirror cipher could be used to secure messages’ confidentiality and integrity. This cipher receives message and key inputs from its user. Then, it runs 9 rounds of feistel networks in ECB modes. Each round would run a round function which consists of 5 functions in mirrored order (9 function calls in total): s-box substitution, row substitution, column substitution, column cumulative xor, and round key addition. This cipher is implemented using Python and has been tested using several message and key combinations. Mirror cipher has applied Shanon’s diffusion and confusion property and proven to be secured from bruteforce and frequency analysis attack. 1. Introduction 1.1. Background In this modern world, data or messages are exchanged anytime and anywhere. To protect confidentiality and integrity of messages, people usually encrypt their messages before sending them, and then decrypt the received messages before reading them. These encryption and decryption practices and techniques are contained under the big concept of cryptography. There are many ciphers (encryption and decryption algorithms) that have been developed since the BC period. Ciphers are then divided into 2 kinds of ciphers, based on how it treats the message: stream cipher and block cipher. -
Chapter 3 – Block Ciphers and the Data Encryption Standard
Symmetric Cryptography Chapter 6 Block vs Stream Ciphers • Block ciphers process messages into blocks, each of which is then en/decrypted – Like a substitution on very big characters • 64-bits or more • Stream ciphers process messages a bit or byte at a time when en/decrypting – Many current ciphers are block ciphers • Better analyzed. • Broader range of applications. Block vs Stream Ciphers Block Cipher Principles • Block ciphers look like an extremely large substitution • Would need table of 264 entries for a 64-bit block • Arbitrary reversible substitution cipher for a large block size is not practical – 64-bit general substitution block cipher, key size 264! • Most symmetric block ciphers are based on a Feistel Cipher Structure • Needed since must be able to decrypt ciphertext to recover messages efficiently Ideal Block Cipher Substitution-Permutation Ciphers • in 1949 Shannon introduced idea of substitution- permutation (S-P) networks – modern substitution-transposition product cipher • These form the basis of modern block ciphers • S-P networks are based on the two primitive cryptographic operations we have seen before: – substitution (S-box) – permutation (P-box) (transposition) • Provide confusion and diffusion of message Diffusion and Confusion • Introduced by Claude Shannon to thwart cryptanalysis based on statistical analysis – Assume the attacker has some knowledge of the statistical characteristics of the plaintext • Cipher needs to completely obscure statistical properties of original message • A one-time pad does this Diffusion -
Bicliques for Preimages: Attacks on Skein-512 and the SHA-2 Family
Bicliques for Preimages: Attacks on Skein-512 and the SHA-2 family Dmitry Khovratovich1 and Christian Rechberger2 and Alexandra Savelieva3 1Microsoft Research Redmond, USA 2DTU MAT, Denmark 3National Research University Higher School of Economics, Russia Abstract. We present the new concept of biclique as a tool for preimage attacks, which employs many powerful techniques from differential cryptanalysis of block ciphers and hash functions. The new tool has proved to be widely applicable by inspiring many authors to publish new re- sults of the full versions of AES, KASUMI, IDEA, and Square. In this paper, we demonstrate how our concept results in the first cryptanalysis of the Skein hash function, and describe an attack on the SHA-2 hash function with more rounds than before. Keywords: SHA-2, SHA-256, SHA-512, Skein, SHA-3, hash function, meet-in-the-middle attack, splice-and-cut, preimage attack, initial structure, biclique. 1 Introduction The last years saw an exciting progress in preimage attacks on hash functions. In contrast to collision search [29, 26], where differential cryptanalysis has been in use since 90s, there had been no similarly powerful tool for preimages. The situation changed dramatically in 2008, when the so-called splice-and-cut framework has been applied to MD4 and MD5 [2, 24], and later to SHA-0/1/2 [1, 3], Tiger [10], and other primitives. Despite amazing results on MD5, the applications to SHA-x primitives seemed to be limited by the internal properties of the message schedule procedures. The only promising element, the so-called initial structure tool, remained very informal and complicated. -
Stage De Master 2R
STAGE DE MASTER 2R SYSTEMES ELECTRONIQUES ET GENIE ELECTRIQUE PARCOURS SYSTEMES ELECTRONIQUES ANNEE UNIVERSITAIRE 2006/2007 CRYPTO-COMPRESSION BASED ON CHAOS OF STILL IMAGES FOR THE TRANSMISSION YIN XU École Polytechnique de l’Université de Nantes Laboratoire IREENA Encadrants du stage : Safwan EL ASSAD Vincent RICORDEL Stage effectué du (05/02/2007) au (09/07/2007) Acknowledgments I would like to express my gratitude to my supervisors Professor Safwan EL ASSAD and Professor Vincent RICORDEL, who have been giving me direction with great patience. As the tutor of the first part of my internship, Prof. RICORDEL coached me on the study of JPEG 2000 systems and I benefited a lot from his tutorials. His constructive suggestions on my research and careful correction of my submitted materials are deeply appreciated. And as the tutor of the second part of my internship, Prof. EL ASSAD pointed out a clear direction of the subject that I should follow, which spare me from the potential wasting of time. He was always encouraging me and thus providing me with more confidence to achieve the objects of the internship. Doctor. Abir AWAD helped me a lot on the program-performance comparisons of C++ and MATLAB and she also gave me many useful materials on my subject. I am really thankful. I would also give my thankfulness to Professor Joseph SAILLARD and Professor Patrick LE CALLET for attending my final defense as a member of the jury despite the busy occupation of their own work. Of course also send great thankfulness to my two supervisors Prof. EL ASSAD and Prof. -
Symmetric Key Ciphers Objectives
Symmetric Key Ciphers Debdeep Mukhopadhyay Assistant Professor Department of Computer Science and Engineering Indian Institute of Technology Kharagpur INDIA -721302 Objectives • Definition of Symmetric Types of Symmetric Key ciphers – Modern Block Ciphers • Full Size and Partial Size Key Ciphers • Components of a Modern Block Cipher – PBox (Permutation Box) – SBox (Substitution Box) –Swap – Properties of the Exclusive OR operation • Diffusion and Confusion • Types of Block Ciphers: Feistel and non-Feistel ciphers D. Mukhopadhyay Crypto & Network Security IIT Kharagpur 1 Symmetric Key Setting Communication Message Channel Message E D Ka Kb Bob Alice Assumptions Eve Ka is the encryption key, Kb is the decryption key. For symmetric key ciphers, Ka=Kb - Only Alice and Bob knows Ka (or Kb) - Eve has access to E, D and the Communication Channel but does not know the key Ka (or Kb) Types of symmetric key ciphers • Block Ciphers: Symmetric key ciphers, where a block of data is encrypted • Stream Ciphers: Symmetric key ciphers, where block size=1 D. Mukhopadhyay Crypto & Network Security IIT Kharagpur 2 Block Ciphers Block Cipher • A symmetric key modern cipher encrypts an n bit block of plaintext or decrypts an n bit block of ciphertext. •Padding: – If the message has fewer than n bits, padding must be done to make it n bits. – If the message size is not a multiple of n, then it should be divided into n bit blocks and the last block should be padded. D. Mukhopadhyay Crypto & Network Security IIT Kharagpur 3 Full Size Key Ciphers • Transposition Ciphers: – Involves rearrangement of bits, without changing value. – Consider an n bit cipher – How many such rearrangements are possible? •n! – How many key bits are necessary? • ceil[log2 (n!)] Full Size Key Ciphers • Substitution Ciphers: – It does not transpose bits, but substitutes values – Can we model this as a permutation? – Yes. -
Non-Monopolizable Caches: Low-Complexity Mitigation of Cache Side Channel Attacks
A Non-Monopolizable Caches: Low-Complexity Mitigation of Cache Side Channel Attacks Leonid Domnitser, State University of New York at Binghamton Aamer Jaleel, Intel Corporation, VSSAD, Hudson, MA Jason Loew, Nael Abu-Ghazaleh and Dmitry Ponomarev, State University of New York at Binghamton We propose a flexibly-partitioned cache design that either drastically weakens or completely eliminates cache-based side channel attacks. The proposed Non-Monopolizable (NoMo) cache dynamically reserves cache lines for active threads and prevents other co-executing threads from evicting reserved lines. Unreserved lines remain available for dynamic sharing among threads. NoMo requires only simple modifications to the cache replacement logic, making it straightforward to adopt. It requires no software support enabling it to automatically protect pre-existing binaries. NoMo results in performance degradation of about 1% on average. We demonstrate that NoMo can provide strong security guarantees for the AES and Blowfish encryption algorithms. Categories and Subject Descriptors: C.1.0 [Computer Systems Organization]: Processor Architectures General Terms: Design, Security, Performance Additional Key Words and Phrases: Side-Channel Attacks, Shared Caches, Secure Architectures 1. INTRODUCTION In recent years, security has emerged as a key design consideration in computing and commu- nication systems. Security solutions center around the use of cryptographic algorithms, such as symmetric ciphers, public-key ciphers, and hash functions. The strength of modern cryptography makes it infeasible for the attackers to uncover the secret keys using brute-force trials, differen- tial analysis [E.Biham and Shamir 1991] or linear cryptanalysis [Matsui 1994]. Instead, almost all known attacks today exploit weaknesses in the physical implementation of the system performing the encryption, rather than exploiting the mathematical properties of the cryptographic algorithms themselves.