14 research outputs found
Ten years of cube attacks
In 2009, Dinur and Shamir proposed the cube attack, an algebraic cryptanalysis technique that only requires black box access to a target cipher. Since then, this attack has received both many criticisms and endorsements from crypto community; this work aims at revising and collecting the many attacks that have been proposed starting from it.
We categorise all of these attacks in five classes; for each class, we provide a brief summary description along with the state-of-the-art references and the most recent cryptanalysis results. Furthermore, we extend and refine the new notation we proposed in 2021 and we use it to provide a consistent definition for each attack family. Finally, in the appendix, we provide an in-depth description of the kite attack framework, a cipher independent tool we firstly proposed in 2018 that implements the kite attack on GPUs. To prove its effectiveness, we use Mickey2.0 as a use case, showing how to embed it in the framework
Security and Privacy for Modern Wireless Communication Systems
The aim of this reprint focuses on the latest protocol research, software/hardware development and implementation, and system architecture design in addressing emerging security and privacy issues for modern wireless communication networks. Relevant topics include, but are not limited to, the following: deep-learning-based security and privacy design; covert communications; information-theoretical foundations for advanced security and privacy techniques; lightweight cryptography for power constrained networks; physical layer key generation; prototypes and testbeds for security and privacy solutions; encryption and decryption algorithm for low-latency constrained networks; security protocols for modern wireless communication networks; network intrusion detection; physical layer design with security consideration; anonymity in data transmission; vulnerabilities in security and privacy in modern wireless communication networks; challenges of security and privacy in node–edge–cloud computation; security and privacy design for low-power wide-area IoT networks; security and privacy design for vehicle networks; security and privacy design for underwater communications networks
CDCL(Crypto) and Machine Learning based SAT Solvers for Cryptanalysis
Over the last two decades, we have seen a dramatic improvement in the efficiency of conflict-driven clause-learning Boolean satisfiability (CDCL SAT) solvers over industrial problems from a variety of applications such as verification, testing, security, and AI. The availability of such powerful general-purpose search tools as the SAT solver has led many researchers to propose SAT-based methods for cryptanalysis, including techniques for finding collisions in hash functions and breaking symmetric encryption schemes.
A feature of all of the previously proposed SAT-based cryptanalysis work is that they are \textit{blackbox}, in the sense that the cryptanalysis problem is encoded as a SAT instance and then a CDCL SAT solver is invoked to solve said instance. A weakness of this approach is that the encoding thus generated may be too large for any modern solver to solve it efficiently. Perhaps a more important weakness of this approach is that the solver is in no way specialized or tuned to solve the given instance. Finally, very little work has been done to leverage parallelism in the context of SAT-based cryptanalysis.
To address these issues, we developed a set of methods that improve on the state-of-the-art SAT-based cryptanalysis along three fronts. First, we describe an approach called \cdcl (inspired by the CDCL() paradigm) to tailor the internal subroutines of the CDCL SAT solver with domain-specific knowledge about cryptographic primitives. Specifically, we extend the propagation and conflict analysis subroutines of CDCL solvers with specialized codes that have knowledge about the cryptographic primitive being analyzed by the solver. We demonstrate the power of this framework in two cryptanalysis tasks of algebraic fault attack and differential cryptanalysis of SHA-1 and SHA-256 cryptographic hash functions. Second, we propose a machine-learning based parallel SAT solver that performs well on cryptographic problems relative to many state-of-the-art parallel SAT solvers. Finally, we use a formulation of SAT into Bayesian moment matching to address heuristic initialization problem in SAT solvers
Analysis and Design of Symmetric Cryptographic Algorithms
This doctoral thesis is dedicated to the analysis and the design of
symmetric cryptographic algorithms.
In the first part of the dissertation, we deal with fault-based attacks
on cryptographic circuits which belong to the field of active implementation
attacks and aim to retrieve secret keys stored on such chips. Our main focus
lies on the cryptanalytic aspects of those attacks. In particular, we target
block ciphers with a lightweight and (often) non-bijective key schedule where
the derived subkeys are (almost) independent from each other. An attacker who is
able to reconstruct one of the subkeys is thus not necessarily able to directly
retrieve other subkeys or even the secret master key by simply reversing the key
schedule. We introduce a framework based on differential fault analysis that
allows to attack block ciphers with an arbitrary number of independent subkeys
and which rely on a substitution-permutation network. These methods are then
applied to the lightweight block ciphers LED and PRINCE and we show in both
cases how to recover the secret master key requiring only a small number of
fault injections. Moreover, we investigate approaches that utilize algebraic
instead of differential techniques for the fault analysis and discuss advantages
and drawbacks. At the end of the first part of the dissertation, we explore
fault-based attacks on the block cipher Bel-T which also has a lightweight key
schedule but is not based on a substitution-permutation network but instead on
the so-called Lai-Massey scheme. The framework mentioned above is thus not
usable against Bel-T. Nevertheless, we also present techniques for the case of
Bel-T that enable full recovery of the secret key in a very efficient way using
differential fault analysis.
In the second part of the thesis, we focus on authenticated encryption
schemes. While regular ciphers only protect privacy of processed data,
authenticated encryption schemes also secure its authenticity and integrity.
Many of these ciphers are additionally able to protect authenticity and
integrity of so-called associated data. This type of data is transmitted
unencrypted but nevertheless must be protected from being tampered with during
transmission. Authenticated encryption is nowadays the standard technique to
protect in-transit data. However, most of the currently deployed schemes have
deficits and there are many leverage points for improvements. With NORX we
introduce a novel authenticated encryption scheme supporting associated data.
This algorithm was designed with high security, efficiency in both hardware and
software, simplicity, and robustness against side-channel attacks in mind. Next
to its specification, we present special features, security goals,
implementation details, extensive performance measurements and discuss
advantages over currently deployed standards. Finally, we describe our
preliminary security analysis where we investigate differential and rotational
properties of NORX. Noteworthy are in particular the newly developed
techniques for differential cryptanalysis of NORX which exploit the power of
SAT- and SMT-solvers and have the potential to be easily adaptable to other
encryption schemes as well.Diese Doktorarbeit beschäftigt sich mit der Analyse und dem Entwurf von
symmetrischen kryptographischen Algorithmen.
Im ersten Teil der Dissertation befassen wir uns mit fehlerbasierten Angriffen
auf kryptographische Schaltungen, welche dem Gebiet der aktiven
Seitenkanalangriffe zugeordnet werden und auf die Rekonstruktion geheimer
Schlüssel abzielen, die auf diesen Chips gespeichert sind. Unser Hauptaugenmerk
liegt dabei auf den kryptoanalytischen Aspekten dieser Angriffe. Insbesondere
beschäftigen wir uns dabei mit Blockchiffren, die leichtgewichtige und eine
(oft) nicht-bijektive Schlüsselexpansion besitzen, bei denen die erzeugten
Teilschlüssel voneinander (nahezu) unabhängig sind. Ein Angreifer, dem es
gelingt einen Teilschlüssel zu rekonstruieren, ist dadurch nicht in der Lage
direkt weitere Teilschlüssel oder sogar den Hauptschlüssel abzuleiten indem er
einfach die Schlüsselexpansion umkehrt. Wir stellen Techniken basierend auf
differenzieller Fehleranalyse vor, die es ermöglichen Blockchiffren zu
analysieren, welche eine beliebige Anzahl unabhängiger Teilschlüssel einsetzen
und auf Substitutions-Permutations Netzwerken basieren. Diese Methoden werden im
Anschluss auf die leichtgewichtigen Blockchiffren LED und PRINCE angewandt und
wir zeigen in beiden Fällen wie der komplette geheime Schlüssel mit einigen
wenigen Fehlerinjektionen rekonstruiert werden kann. Darüber hinaus untersuchen
wir Methoden, die algebraische statt differenzielle Techniken der Fehleranalyse
einsetzen und diskutieren deren Vor- und Nachteile. Am Ende des ersten Teils der
Dissertation befassen wir uns mit fehlerbasierten Angriffen auf die Blockchiffre
Bel-T, welche ebenfalls eine leichtgewichtige Schlüsselexpansion besitzt jedoch
nicht auf einem Substitutions-Permutations Netzwerk sondern auf dem sogenannten
Lai-Massey Schema basiert. Die oben genannten Techniken können daher bei Bel-T
nicht angewandt werden. Nichtsdestotrotz werden wir auch für den Fall von Bel-T
Verfahren vorstellen, die in der Lage sind den vollständigen geheimen Schlüssel
sehr effizient mit Hilfe von differenzieller Fehleranalyse zu rekonstruieren.
Im zweiten Teil der Doktorarbeit beschäftigen wir uns mit authentifizierenden
Verschlüsselungsverfahren. Während gewöhnliche Chiffren nur die Vertraulichkeit
der verarbeiteten Daten sicherstellen, gewährleisten authentifizierende
Verschlüsselungsverfahren auch deren Authentizität und Integrität. Viele dieser
Chiffren sind darüber hinaus in der Lage auch die Authentizität und Integrität
von sogenannten assoziierten Daten zu gewährleisten. Daten dieses Typs werden in
nicht-verschlüsselter Form übertragen, müssen aber dennoch gegen unbefugte
Veränderungen auf dem Transportweg geschützt sein. Authentifizierende
Verschlüsselungsverfahren bilden heutzutage die Standardtechnologie um Daten
während der Übertragung zu beschützen. Aktuell eingesetzte Verfahren weisen
jedoch oftmals Defizite auf und es existieren vielfältige Ansatzpunkte für
Verbesserungen. Mit NORX stellen wir ein neuartiges authentifizierendes
Verschlüsselungsverfahren vor, welches assoziierte Daten unterstützt. Dieser
Algorithmus wurde vor allem im Hinblick auf Einsatzgebiete mit hohen
Sicherheitsanforderungen, Effizienz in Hardware und Software, Einfachheit, und
Robustheit gegenüber Seitenkanalangriffen entwickelt. Neben der Spezifikation
präsentieren wir besondere Eigenschaften, angestrebte Sicherheitsziele, Details
zur Implementierung, umfassende Performanz-Messungen und diskutieren Vorteile
gegenüber aktuellen Standards. Schließlich stellen wir Ergebnisse unserer
vorläufigen Sicherheitsanalyse vor, bei der wir uns vor allem auf differenzielle
Merkmale und Rotationseigenschaften von NORX konzentrieren. Erwähnenswert sind
dabei vor allem die für die differenzielle Kryptoanalyse von NORX entwickelten
Techniken, die auf die Effizienz von SAT- und SMT-Solvern zurückgreifen und das
Potential besitzen relativ einfach auch auf andere Verschlüsselungsverfahren
übertragen werden zu können
Efficient local search for Pseudo Boolean Optimization
Algorithms and the Foundations of Software technolog
A novel GPU-based implementation of the cube attack preliminary results against trivium
With black-box access to the cipher being its unique requirement, Dinur and Shamirâ\u80\u99s cube attack is a flexible cryptanalysis technique which can be applied to virtually any cipher. However, gaining a precise understanding of the characteristics that make a cipher vulnerable to the attack is still an open problem, and no implementation of the cube attack so far succeeded in breaking a real-world strong cipher. In this paper, we present a complete implementation of the cube attack on a GPU/CPU cluster able to improve state-of-the-art results against the Trivium cipher. In particular, our attack allows full key recovery up to 781 initialization rounds without brute-force, and yields the first ever maxterm after 800 initialization rounds. The proposed attack leverages a careful tuning of the available resources, based on an accurate analysis of the offline phase, that has been tailored to the characteristics of GPU computing. We discuss all design choices, detailing their respective advantages and drawbacks. Other than providing remarkable results, this paper shows how the cube attack can significantly benefit from accelerators like GPUs, paving the way for future work in the area
Computer Science for Continuous Data:Survey, Vision, Theory, and Practice of a Computer Analysis System
Building on George Boole's work, Logic provides a rigorous foundation for the powerful tools in Computer Science that underlie nowadays ubiquitous processing of discrete data, such as strings or graphs. Concerning continuous data, already Alan Turing had applied "his" machines to formalize and study the processing of real numbers: an aspect of his oeuvre that we transform from theory to practice.The present essay surveys the state of the art and envisions the future of Computer Science for continuous data: natively, beyond brute-force discretization, based on and guided by and extending classical discrete Computer Science, as bridge between Pure and Applied Mathematics
XX Workshop de Investigadores en Ciencias de la Computación - WICC 2018 : Libro de actas
Actas del XX Workshop de Investigadores en Ciencias de la Computación (WICC 2018), realizado en Facultad de Ciencias Exactas y Naturales y Agrimensura de la Universidad Nacional del Nordeste, los dìas 26 y 27 de abril de 2018.Red de Universidades con Carreras en Informática (RedUNCI
XX Workshop de Investigadores en Ciencias de la Computación - WICC 2018 : Libro de actas
Actas del XX Workshop de Investigadores en Ciencias de la Computación (WICC 2018), realizado en Facultad de Ciencias Exactas y Naturales y Agrimensura de la Universidad Nacional del Nordeste, los dìas 26 y 27 de abril de 2018.Red de Universidades con Carreras en Informática (RedUNCI