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Computationally Data-Independent Memory Hard Functions
Computationally Data-Independent Memory Hard Functions Mohammad Hassan Ameri∗ Jeremiah Blocki† Samson Zhou‡ November 18, 2019 Abstract Memory hard functions (MHFs) are an important cryptographic primitive that are used to design egalitarian proofs of work and in the construction of moderately expensive key-derivation functions resistant to brute-force attacks. Broadly speaking, MHFs can be divided into two categories: data-dependent memory hard functions (dMHFs) and data-independent memory hard functions (iMHFs). iMHFs are resistant to certain side-channel attacks as the memory access pattern induced by the honest evaluation algorithm is independent of the potentially sensitive input e.g., password. While dMHFs are potentially vulnerable to side-channel attacks (the induced memory access pattern might leak useful information to a brute-force attacker), they can achieve higher cumulative memory complexity (CMC) in comparison than an iMHF. In particular, any iMHF that can be evaluated in N steps on a sequential machine has CMC at 2 most N log log N . By contrast, the dMHF scrypt achieves maximal CMC Ω(N 2) — though O log N the CMC of scrypt would be reduced to just (N) after a side-channel attack. In this paper, we introduce the notion ofO computationally data-independent memory hard functions (ciMHFs). Intuitively, we require that memory access pattern induced by the (ran- domized) ciMHF evaluation algorithm appears to be independent from the standpoint of a computationally bounded eavesdropping attacker — even if the attacker selects the initial in- put. We then ask whether it is possible to circumvent known upper bound for iMHFs and build a ciMHF with CMC Ω(N 2). -
Argon and Argon2
Argon and Argon2 Designers: Alex Biryukov, Daniel Dinu, and Dmitry Khovratovich University of Luxembourg, Luxembourg [email protected], [email protected], [email protected] https://www.cryptolux.org/index.php/Password https://github.com/khovratovich/Argon https://github.com/khovratovich/Argon2 Version 1.1 of Argon Version 1.0 of Argon2 31th January, 2015 Contents 1 Introduction 3 2 Argon 5 2.1 Specification . 5 2.1.1 Input . 5 2.1.2 SubGroups . 6 2.1.3 ShuffleSlices . 7 2.2 Recommended parameters . 8 2.3 Security claims . 8 2.4 Features . 9 2.4.1 Main features . 9 2.4.2 Server relief . 10 2.4.3 Client-independent update . 10 2.4.4 Possible future extensions . 10 2.5 Security analysis . 10 2.5.1 Avalanche properties . 10 2.5.2 Invariants . 11 2.5.3 Collision and preimage attacks . 11 2.5.4 Tradeoff attacks . 11 2.6 Design rationale . 14 2.6.1 SubGroups . 14 2.6.2 ShuffleSlices . 16 2.6.3 Permutation ...................................... 16 2.6.4 No weakness,F no patents . 16 2.7 Tweaks . 17 2.8 Efficiency analysis . 17 2.8.1 Modern x86/x64 architecture . 17 2.8.2 Older CPU . 17 2.8.3 Other architectures . 17 3 Argon2 19 3.1 Specification . 19 3.1.1 Inputs . 19 3.1.2 Operation . 20 3.1.3 Indexing . 20 3.1.4 Compression function G ................................. 21 3.2 Features . 22 3.2.1 Available features . 22 3.2.2 Server relief . 23 3.2.3 Client-independent update . -
Modern Password Security for System Designers What to Consider When Building a Password-Based Authentication System
Modern password security for system designers What to consider when building a password-based authentication system By Ian Maddox and Kyle Moschetto, Google Cloud Solutions Architects This whitepaper describes and models modern password guidance and recommendations for the designers and engineers who create secure online applications. A related whitepaper, Password security for users, offers guidance for end users. This whitepaper covers the wide range of options to consider when building a password-based authentication system. It also establishes a set of user-focused recommendations for password policies and storage, including the balance of password strength and usability. The technology world has been trying to improve on the password since the early days of computing. Shared-knowledge authentication is problematic because information can fall into the wrong hands or be forgotten. The problem is magnified by systems that don't support real-world secure use cases and by the frequent decision of users to take shortcuts. According to a 2019 Yubico/Ponemon study, 69 percent of respondents admit to sharing passwords with their colleagues to access accounts. More than half of respondents (51 percent) reuse an average of five passwords across their business and personal accounts. Furthermore, two-factor authentication is not widely used, even though it adds protection beyond a username and password. Of the respondents, 67 percent don’t use any form of two-factor authentication in their personal life, and 55 percent don’t use it at work. Password systems often allow, or even encourage, users to use insecure passwords. Systems that allow only single-factor credentials and that implement ineffective security policies add to the problem. -
Iso/Iec Jtc 1/Sc 27/Wg 2 N 1804
ISO/IEC JTC 1/SC 27/WG 2 N 1804 ISO/IEC JTC 1/SC 27/WG 2 Cryptography and security mechanisms Convenorship: JISC (Japan) Document type: Officer's Contribution Title: A Memo on Kuznyechik S-Box Status: Date of document: 2018-09-27 Source: Project Editor (Vasily Shishkin), Project Co-editor (Grigory Marshalko) Expected action: ACT Action due date: 2018-10-04 No. of pages: 1 + 4 Email of convenor: [email protected] Committee URL: https://isotc.iso.org/livelink/livelink/open/jtc1sc27wg2 A Memo on Kuznyechik S-Box During ballot on 18033-3 DAmd1 (finished in June 2018) comments from some NB were received concerning issues regarding Kuznyechik design rationale and its parameters origins. The goal of this Memo is to provide all relevant information known to the designers of the algorithm. Kuznyechik has transparent and well studied design. Its design rationale was introduced to WG2 experts in 2016 by presentation (WG2) N1740. Kuznyechik is based on well examined constructions. Each transformation provides certain cryptographic properties. All transformations used as building blocks have transparent origin. The only transformation used in Kuznyechik which origin may be questioned is the S-box π. This S-box was chosen from Streebog hash-function and it was synthesized in 2007. Note that through many years of cryptanalysis no weakness of this S-box was found. The S-box π was obtained by pseudo- random search and the following properties were taken into account. 1. The differential characteristic π pπ = max pα,β; α,β2V8nf0g π where pα,β = Pfπ(x ⊕ α) ⊕ π(x) = βg. -
Optimizing a Password Hashing Function with Hardware-Accelerated Symmetric Encryption
S S symmetry Article Optimizing a Password Hashing Function with Hardware-Accelerated Symmetric Encryption Rafael Álvarez 1,* , Alicia Andrade 2 and Antonio Zamora 3 1 Departamento de Ciencia de la Computación e Inteligencia Artificial (DCCIA), Universidad de Alicante, 03690 Alicante, Spain 2 Fac. Ingeniería, Ciencias Físicas y Matemática, Universidad Central, Quito 170129, Ecuador; [email protected] 3 Departamento de Ciencia de la Computación e Inteligencia Artificial (DCCIA), Universidad de Alicante, 03690 Alicante, Spain; [email protected] * Correspondence: [email protected] Received: 2 November 2018; Accepted: 22 November 2018; Published: 3 December 2018 Abstract: Password-based key derivation functions (PBKDFs) are commonly used to transform user passwords into keys for symmetric encryption, as well as for user authentication, password hashing, and preventing attacks based on custom hardware. We propose two optimized alternatives that enhance the performance of a previously published PBKDF. This design is based on (1) employing a symmetric cipher, the Advanced Encryption Standard (AES), as a pseudo-random generator and (2) taking advantage of the support for the hardware acceleration for AES that is available on many common platforms in order to mitigate common attacks to password-based user authentication systems. We also analyze their security characteristics, establishing that they are equivalent to the security of the core primitive (AES), and we compare their performance with well-known PBKDF algorithms, such as Scrypt and Argon2, with favorable results. Keywords: symmetric; encryption; password; hash; cryptography; PBKDF 1. Introduction Key derivation functions are employed to obtain one or more keys from a master secret. This is especially useful in the case of user passwords, which can be of arbitrary length and are unsuitable to be used directly as fixed-size cipher keys, so, there must be a process for converting passwords into secret keys. -
Características Y Aplicaciones De Las Funciones Resumen Criptográficas En La Gestión De Contraseñas
Características y aplicaciones de las funciones resumen criptográficas en la gestión de contraseñas Alicia Lorena Andrade Bazurto Instituto Universitario de Investigación en Informática Escuela Politécnica Superior Características y aplicaciones de las funciones resumen criptográficas en la gestión de contraseñas ALICIA LORENA ANDRADE BAZURTO Tesis presentada para aspirar al grado de DOCTORA POR LA UNIVERSIDAD DE ALICANTE DOCTORADO EN INFORMÁTICA Dirigida por: Dr. Rafael I. Álvarez Sánchez Alicante, julio 2019 Índice Índice de tablas .................................................................................................................. vii Índice de figuras ................................................................................................................. ix Agradecimiento .................................................................................................................. xi Resumen .......................................................................................................................... xiii Resum ............................................................................................................................... xv Abstract ........................................................................................................................... xvii 1 Introducción .................................................................................................................. 1 1.1 Objetivos ...............................................................................................................4 -
State of the Art in Lightweight Symmetric Cryptography
State of the Art in Lightweight Symmetric Cryptography Alex Biryukov1 and Léo Perrin2 1 SnT, CSC, University of Luxembourg, [email protected] 2 SnT, University of Luxembourg, [email protected] Abstract. Lightweight cryptography has been one of the “hot topics” in symmetric cryptography in the recent years. A huge number of lightweight algorithms have been published, standardized and/or used in commercial products. In this paper, we discuss the different implementation constraints that a “lightweight” algorithm is usually designed to satisfy. We also present an extensive survey of all lightweight symmetric primitives we are aware of. It covers designs from the academic community, from government agencies and proprietary algorithms which were reverse-engineered or leaked. Relevant national (nist...) and international (iso/iec...) standards are listed. We then discuss some trends we identified in the design of lightweight algorithms, namely the designers’ preference for arx-based and bitsliced-S-Box-based designs and simple key schedules. Finally, we argue that lightweight cryptography is too large a field and that it should be split into two related but distinct areas: ultra-lightweight and IoT cryptography. The former deals only with the smallest of devices for which a lower security level may be justified by the very harsh design constraints. The latter corresponds to low-power embedded processors for which the Aes and modern hash function are costly but which have to provide a high level security due to their greater connectivity. Keywords: Lightweight cryptography · Ultra-Lightweight · IoT · Internet of Things · SoK · Survey · Standards · Industry 1 Introduction The Internet of Things (IoT) is one of the foremost buzzwords in computer science and information technology at the time of writing. -
Argon2: the Memory-Hard Function for Password Hashing and Other Applications
Argon2: the memory-hard function for password hashing and other applications Designers: Alex Biryukov, Daniel Dinu, and Dmitry Khovratovich University of Luxembourg, Luxembourg [email protected], [email protected], [email protected] https://www.cryptolux.org/index.php/Argon2 https://github.com/P-H-C/phc-winner-argon2 https://github.com/khovratovich/Argon2 Version 1.3 of Argon2: PHC release February 29, 2016 Contents 1 Introduction 2 2 Definitions 3 2.1 Motivation . 3 2.2 Model for memory-hard functions . 4 3 Specification of Argon2 4 3.1 Inputs . 4 3.2 Operation . 5 3.3 Indexing . 6 3.4 Compression function G ......................................... 7 4 Features 8 4.1 Available features . 8 4.2 Possible future extensions . 9 5 Security analysis 9 5.1 Ranking tradeoff attack . 9 5.2 Memory optimization attack . 9 5.3 Attack on iterative compression function . 10 5.4 Security of Argon2 to generic attacks . 10 5.5 Security of Argon2 to ranking tradeoff attacks . 11 5.6 Security of Argon2i to generic tradeoff attacks on random graphs . 12 5.7 Summary of tradeoff attacks . 12 6 Design rationale 12 6.1 Indexing function . 12 6.2 Implementing parallelism . 13 6.3 Compression function design . 15 6.3.1 Overview . 15 6.3.2 Design criteria . 15 6.4 User-controlled parameters . 15 7 Performance 16 7.1 x86 architecture . 16 8 Applications 16 1 9 Recommended parameters 17 10 Conclusion 17 A Permutation 18 P B Additional functionality 19 C Change log 19 C.1 v.1.3 . 19 C.2 v1.2.1 { February 1st, 2016 . -
Cryptanalysis of Block Ciphers with New Design Strategies
Cryptanalysis of Block Ciphers with New Design Strategies Mohamed Tolba A Thesis in The Concordia Institute for Information Systems Engineering Presented in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy (Information Systems Engineering) at Concordia University Montreal, Quebec, Canada October 2017 ©Mohamed Tolba, 2017 CONCORDIA UNIVERSITY SCHOOL OF GRADUATE STUDIES This is to certify that the thesis prepared By: Mohamed Tolba Entitled: Cryptanalysis of Block Ciphers with New Design Strategies and submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy (Information Systems Engineering) complies with the regulations of the University and meets the accepted standards with re- spect to originality and quality. Signed by the final examining committee: Chair Dr. Theodore Stathopoulos External Examiner Dr. Huapeng Wu External to Program Dr. Anjali Agarwal Examiner Dr. Lingyu Wang Examiner Dr. Mohammad Mannan Thesis Supervisor Dr. Amr M. Youssef Approved by Dr. Chadi Assi, Graduate Program Director December 4th,2017 Dr. Amir Asif, Dean, Faculty of Engineering and Computer Science Abstract Cryptanalysis of Block Ciphers with New Design Strategies Mohamed Tolba, Ph.D. Concordia University, 2017 Block ciphers are among the mostly widely used symmetric-key cryptographic primitives, which are fundamental building blocks in cryptographic/security systems. Most of the public- key primitives are based on hard mathematical problems such as the integer factorization in the RSA algorithm and discrete logarithm problem in the DiffieHellman. Therefore, their security are mathematically proven. In contrast, symmetric-key primitives are usually not constructed based on well-defined hard mathematical problems. Hence, in order to get some assurance in their claimed security properties, they must be studied against different types of cryptanalytic techniques. -
Exponential S-Boxes: a Link Between the S-Boxes of Belt and Kuznyechik/Streebog
Exponential S-Boxes: a Link Between the S-Boxes of BelT and Kuznyechik/Streebog Léo Perrin and Aleksei Udovenko SnT, University of Luxembourg {leo.perrin,aleksei.udovenko}@uni.lu Abstract. The block cipher Kuznyechik and the hash function Streebog were recently standardized by the Russian Federation. These primitives use a common 8-bit S-Box, denoted 휋, which is given only as a look-up table. The rationale behind its design is, for all practical purposes, kept secret by its authors. In a paper presented at Eurocrypt 2016, Biryukov et al. reverse-engineered this S-Box and recovered an unusual Feistel-like structure relying on finite field multiplications. In this paper, we provide a new decomposition of this S-Box and describe how we obtained it. The first step was the analysis of the 8-bit S-Box of the current standard block cipher of Belarus, BelT. This S-Box is a variant of a so-called exponential substitution, a concept we generalize into pseudo-exponential substitution. We derive distinguishers for such permutations based on properties of their linear approximation tables and notice that 휋 shares some of them. We then show that 휋 indeed has a decomposition based on a pseudo-exponential substitution. More precisely, we obtain a simpler structure based on an 8-bit finite field exponentiation, one 4-bit S-Box, a linear layer and a few modular arithmetic operations. We also make several observations which may help cryptanalysts attempting to reverse-engineer other S-Boxes. For example, the visual pattern used in the previous work as a starting point to decompose 휋 is mathematically formalized and the use of differential patterns involving operations other than exclusive-or is explored. -
A Lightweight Encryption Algorithm for Secure Internet of Things
Pre-Print Version, Original article is available at (IJACSA) International Journal of Advanced Computer Science and Applications, Vol. 8, No. 1, 2017 SIT: A Lightweight Encryption Algorithm for Secure Internet of Things Muhammad Usman∗, Irfan Ahmedy, M. Imran Aslamy, Shujaat Khan∗ and Usman Ali Shahy ∗Faculty of Engineering Science and Technology (FEST), Iqra University, Defence View, Karachi-75500, Pakistan. Email: fmusman, [email protected] yDepartment of Electronic Engineering, NED University of Engineering and Technology, University Road, Karachi 75270, Pakistan. Email: firfans, [email protected], [email protected] Abstract—The Internet of Things (IoT) being a promising and apply analytics to share the most valuable data with the technology of the future is expected to connect billions of devices. applications. The IoT is taking the conventional internet, sensor The increased number of communication is expected to generate network and mobile network to another level as every thing mountains of data and the security of data can be a threat. The will be connected to the internet. A matter of concern that must devices in the architecture are essentially smaller in size and be kept under consideration is to ensure the issues related to low powered. Conventional encryption algorithms are generally confidentiality, data integrity and authenticity that will emerge computationally expensive due to their complexity and requires many rounds to encrypt, essentially wasting the constrained on account of security and privacy [4]. energy of the gadgets. Less complex algorithm, however, may compromise the desired integrity. In this paper we propose a A. Applications of IoT: lightweight encryption algorithm named as Secure IoT (SIT). -
Expert Password Management
Expert Password Management Elizabeth Stobert1 and Robert Biddle2 1 ETH Z¨urich Z¨urich, Switzerland [email protected] 2 Carleton University Ottawa, Canada [email protected] Abstract. Experts are often asked for advice about password manage- ment, but how do they manage their own passwords? We conducted interviews with researchers and practitioners in computer security, ask- ing them about their password management behaviour. We conducted a thematic analysis of our data, and found that experts described a di- chotomy of behaviour where they employed more secure behaviour on important accounts, but had similar practices to non-expert users on re- maining accounts. Experts’ greater situation awareness allowed them to more easily make informed decisions about security, and expert practices can suggest ways for non-experts to better manage passwords. 1 Introduction Security experts are often turned to for advice about password management, but what do experts themselves do to manage their passwords? How are the practices of those who are knowledgeable about computer security different from or similar to those of non-experts? Little work exists on the password habits of experts, who must be affected by the same problems that affect all users: difficulties choosing random passwords, difficulties remembering passwords, and multitudinous accounts. If remembering large numbers of random passwords is difficult or near-impossible for non-expert users, it should be similarly difficult for experts. We conducted a series of interviews with researchers and practitioners in com- puter security, asking them about their password management behaviour. We found that these knowledgeable users described a dichotomy of behaviour where they employed more secure behaviour on important accounts that they deemed more worthy, but employed similar practices to non-expert users on their remain- ing accounts.