Implementation of the Catena Password-Scrambling Framework
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GPU-Based Password Cracking on the Security of Password Hashing Schemes Regarding Advances in Graphics Processing Units
Radboud University Nijmegen Faculty of Science Kerckhoffs Institute Master of Science Thesis GPU-based Password Cracking On the Security of Password Hashing Schemes regarding Advances in Graphics Processing Units by Martijn Sprengers [email protected] Supervisors: Dr. L. Batina (Radboud University Nijmegen) Ir. S. Hegt (KPMG IT Advisory) Ir. P. Ceelen (KPMG IT Advisory) Thesis number: 646 Final Version Abstract Since users rely on passwords to authenticate themselves to computer systems, ad- versaries attempt to recover those passwords. To prevent such a recovery, various password hashing schemes can be used to store passwords securely. However, recent advances in the graphics processing unit (GPU) hardware challenge the way we have to look at secure password storage. GPU's have proven to be suitable for crypto- graphic operations and provide a significant speedup in performance compared to traditional central processing units (CPU's). This research focuses on the security requirements and properties of prevalent pass- word hashing schemes. Moreover, we present a proof of concept that launches an exhaustive search attack on the MD5-crypt password hashing scheme using modern GPU's. We show that it is possible to achieve a performance of 880 000 hashes per second, using different optimization techniques. Therefore our implementation, executed on a typical GPU, is more than 30 times faster than equally priced CPU hardware. With this performance increase, `complex' passwords with a length of 8 characters are now becoming feasible to crack. In addition, we show that between 50% and 80% of the passwords in a leaked database could be recovered within 2 months of computation time on one Nvidia GeForce 295 GTX. -
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 . -
CASH: a Cost Asymmetric Secure Hash Algorithm for Optimal Password Protection
CASH: A Cost Asymmetric Secure Hash Algorithm for Optimal Password Protection Jeremiah Blocki Anupam Datta Microsoft Research Carnegie Mellon University August 23, 2018 Abstract An adversary who has obtained the cryptographic hash of a user's password can mount an offline attack to crack the password by comparing this hash value with the cryptographic hashes of likely password guesses. This offline attacker is limited only by the resources he is willing to invest to crack the password. Key-stretching techniques like hash iteration and memory hard functions have been proposed to mitigate the threat of offline attacks by making each password guess more expensive for the adversary to verify. However, these techniques also increase costs for a legitimate authentication server. We introduce a novel Stackelberg game model which captures the essential elements of this interaction between a defender and an offline attacker. In the game the defender first commits to a key-stretching mechanism, and the offline attacker responds in a manner that optimizes his utility (expected reward minus expected guessing costs). We then introduce Cost Asymmetric Secure Hash (CASH), a randomized key-stretching mechanism that minimizes the fraction of passwords that would be cracked by a rational offline attacker without increasing amortized authentication costs for the legitimate authentication server. CASH is motivated by the observation that the legitimate authentication server will typically run the authentication procedure to verify a correct password, while an offline adversary will typically use incorrect password guesses. By using randomization we can ensure that the amortized cost of running CASH to verify a correct password guess is significantly smaller than the cost of rejecting an incorrect password. -
PHC: Status Quo
PHC: status quo JP Aumasson @veorq / http://aumasson.jp academic background principal cryptographer at Kudelski Security, .ch applied crypto research and outreach BLAKE, BLAKE2, SipHash, NORX Crypto Coding Standard Password Hashing Competition Open Crypto Audit Project board member do you use passwords? this talk might interest you! Oct 2013 "hash" = 3DES-ECB( static key, password ) users' hint made the guess game easy... (credit Jeremi Gosney / Stricture Group) May 2014; "encrypted passwords" (?) last week that's only the reported/published cases Lesson if Adobe, eBay, and Avast fail to protect their users' passwords, what about others? users using "weak passwords"? ITsec people using "weak defenses"? developers using "weak hashes"? cryptographers, who never bothered? agenda 1. how (not) to protect passwords 2. the Password Hashing Competition (PHC) 3. the 24-2 PHC candidates 4. next steps, and how to contribute WARNING this is NOT about bikeshed topics as: password policies password managers password-strength meters will-technology-X-replace-passwords? 1. how (not) to protect passwords solution of the 60's store "password" or the modern alternative: obviously a bad idea (assuming the server and its DB are compromised) solution of the early 70's store hash("password") "one-way": can't be efficiently inverted vulnerable to: ● efficient dictionary attacks and bruteforce ● time-memory tradeoffs (rainbow tables, etc.) solution of the late 70's store hash("password", salt) "one-way": can't be efficiently inverted immune to time-memory tradeoffs vulnerable to: ● dictionary attacks and bruteforce (but has to be repeated for different hashes) solution of the 2000's store hash("password", salt, cost) "one-way": can't be efficiently inverted immune to time-memory tradeoffs inefficient dictionary attacks and bruteforce main ideas: ● be "slow" ● especially on attackers' hardware (GPU, FPGA) => exploit fast CPU memory access/writes PBKDF2 (Kaliski, 2000) NIST and PKCS standard in Truecrypt, iOS, etc. -
Asymmetric Proof-Of-Work Based on the Generalized Birthday Problem
Equihash: Asymmetric Proof-of-Work Based on the Generalized Birthday Problem Alex Biryukov Dmitry Khovratovich University of Luxembourg University of Luxembourg [email protected] [email protected] Abstract—The proof-of-work is a central concept in modern Long before the rise of Bitcoin it was realized [20] that cryptocurrencies and denial-of-service protection tools, but the the dedicated hardware can produce a proof-of-work much requirement for fast verification so far made it an easy prey for faster and cheaper than a regular desktop or laptop. Thus the GPU-, ASIC-, and botnet-equipped users. The attempts to rely on users equipped with such hardware have an advantage over memory-intensive computations in order to remedy the disparity others, which eventually led the Bitcoin mining to concentrate between architectures have resulted in slow or broken schemes. in a few hardware farms of enormous size and high electricity In this paper we solve this open problem and show how to consumption. An advantage of the same order of magnitude construct an asymmetric proof-of-work (PoW) based on a compu- is given to “owners” of large botnets, which nowadays often tationally hard problem, which requires a lot of memory to gen- accommodate hundreds of thousands of machines. For prac- erate a proof (called ”memory-hardness” feature) but is instant tical DoS protection, this means that the early TLS puzzle to verify. Our primary proposal Equihash is a PoW based on the schemes [8], [17] are no longer effective against the most generalized birthday problem and enhanced Wagner’s algorithm powerful adversaries. -
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. -
Permutation-Based Encryption, Authentication and Authenticated Encryption
Permutation-based encryption, authentication and authenticated encryption Permutation-based encryption, authentication and authenticated encryption Joan Daemen1 Joint work with Guido Bertoni1, Michaël Peeters2 and Gilles Van Assche1 1STMicroelectronics 2NXP Semiconductors DIAC 2012, Stockholm, July 6 . Permutation-based encryption, authentication and authenticated encryption Modern-day cryptography is block-cipher centric Modern-day cryptography is block-cipher centric (Standard) hash functions make use of block ciphers SHA-1, SHA-256, SHA-512, Whirlpool, RIPEMD-160, … So HMAC, MGF1, etc. are in practice also block-cipher based Block encryption: ECB, CBC, … Stream encryption: synchronous: counter mode, OFB, … self-synchronizing: CFB MAC computation: CBC-MAC, C-MAC, … Authenticated encryption: OCB, GCM, CCM … . Permutation-based encryption, authentication and authenticated encryption Modern-day cryptography is block-cipher centric Structure of a block cipher . Permutation-based encryption, authentication and authenticated encryption Modern-day cryptography is block-cipher centric Structure of a block cipher (inverse operation) . Permutation-based encryption, authentication and authenticated encryption Modern-day cryptography is block-cipher centric When is the inverse block cipher needed? Indicated in red: Hashing and its modes HMAC, MGF1, … Block encryption: ECB, CBC, … Stream encryption: synchronous: counter mode, OFB, … self-synchronizing: CFB MAC computation: CBC-MAC, C-MAC, … Authenticated encryption: OCB, GCM, CCM … So a block cipher -
Authentication Requirements in Cryptography
Authentication Requirements In Cryptography Autolytic Micah scurrying narcotically and numerically, she perdures her contractility denigrate fustily. Utilitarian Thibaud attempt questioningly. Deviate and bleached Christie still carry-ons his Leonids sullenly. In the session key above are equivalent aes encrypt sensitive, requirements in authentication ciphersuite or on various vendors who the phy layer to the recipient passes the ciphertext Message authentication with fancy key implies message integrity. The requirements be considered as generic in the sense that they are ss technologies. Any inner authentication method employed authentication from the combine to the authentication server. The preceding paragraphs have endeavoured to present the complete set of concepts in a logical sequence of development. Chapter 11 Message Authentication Codes The luncheon of. MAC even to get obtain the confidentially part. AAA connection rm authentication the peers, as well as additional information about authenticators, roaming agreements, network policies and other network information. Since X509 is based on cross key cryptography the maintain of DOA used. Most often referred to hash functions has available protocols that it harder for vehicular networks. AWS KMS also lets you use all or part of the encryption context as the condition for a permission in a policy or grant. To authority confirms that authentication as a bad decision. This can be done by using it to support the secure transmission of a new secret key from the originator to the other party. There still appear to be many engineering details that have to be worked out before such a machine could be built. Most toward the web pages on the Internet require no authentication or authorization Encryption Encryption involves the crest of transforming data. -
Cryptographic Sponge Functions
Cryptographic sponge functions Guido B1 Joan D1 Michaël P2 Gilles V A1 http://sponge.noekeon.org/ Version 0.1 1STMicroelectronics January 14, 2011 2NXP Semiconductors Cryptographic sponge functions 2 / 93 Contents 1 Introduction 7 1.1 Roots .......................................... 7 1.2 The sponge construction ............................... 8 1.3 Sponge as a reference of security claims ...................... 8 1.4 Sponge as a design tool ................................ 9 1.5 Sponge as a versatile cryptographic primitive ................... 9 1.6 Structure of this document .............................. 10 2 Definitions 11 2.1 Conventions and notation .............................. 11 2.1.1 Bitstrings .................................... 11 2.1.2 Padding rules ................................. 11 2.1.3 Random oracles, transformations and permutations ........... 12 2.2 The sponge construction ............................... 12 2.3 The duplex construction ............................... 13 2.4 Auxiliary functions .................................. 15 2.4.1 The absorbing function and path ...................... 15 2.4.2 The squeezing function ........................... 16 2.5 Primary aacks on a sponge function ........................ 16 3 Sponge applications 19 3.1 Basic techniques .................................... 19 3.1.1 Domain separation .............................. 19 3.1.2 Keying ..................................... 20 3.1.3 State precomputation ............................ 20 3.2 Modes of use of sponge functions ......................... -
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. -
Rifflescrambler – a Memory-Hard Password Storing Function ⋆
RiffleScrambler – a memory-hard password storing function ? Karol Gotfryd1, Paweł Lorek2, and Filip Zagórski1;3 1 Wrocław University of Science and Technology Faculty of Fundamental Problems of Technology Department of Computer Science 2 Wrocław University Faculty of Mathematics and Computer Science Mathematical Institute 3 Oktawave Abstract. We introduce RiffleScrambler: a new family of directed acyclic graphs and a corresponding data-independent memory hard function with password independent memory access. We prove its memory hard- ness in the random oracle model. RiffleScrambler is similar to Catena – updates of hashes are determined by a graph (bit-reversal or double-butterfly graph in Catena). The ad- vantage of the RiffleScrambler over Catena is that the underlying graphs are not predefined but are generated per salt, as in Balloon Hashing. Such an approach leads to higher immunity against practical parallel at- tacks. RiffleScrambler offers better efficiency than Balloon Hashing since the in-degree of the underlying graph is equal to 3 (and is much smaller than in Ballon Hashing). At the same time, because the underlying graph is an instance of a Superconcentrator, our construction achieves the same time-memory trade-offs. Keywords: Memory hardness, password storing, Markov chains, mixing time. 1 Introduction In early days of computers’ era passwords were stored in plaintext in the form of pairs (user; password). Back in 1960s it was observed, that it is not secure. It took around a decade to incorporate a more secure way of storing users’ passwords – via a DES-based function crypt, as (user; fk(password)) for a se- cret key k or as (user; f(password)) for a one-way function.