International Association for Cryptologic Research

International Association
for Cryptologic Research

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04 January 2018

Murali Godi, Roopa Vishwanathan
ePrint Report ePrint Report
In this paper, we consider a scenario where a sender transmits ciphertexts to multiple receivers using a public-key encryption scheme, and at a later point of time, wants to retrieve the plaintexts, without having to request the receivers' help in decrypting the ciphertexts, and without having to locally store a separate recovery key for every receiver the sender interacts with. This problem, known as public key encryption with sender recovery has intuitive solutions based on hybrid encryption-based key encapsulation mechanism and data encapsulation mechanism (KEM/DEM) schemes. We propose a KEM/DEM-based solution that is CCA2-secure, allows for multiple receivers, only requires the receivers to be equipped with public/secret keypairs (the sender needs only a single symmetric recovery key), and uses an analysis technique called plaintext randomization that results in greatly simplified, clean, and intuitive proofs compared to prior work in this area. We instantiate our protocol for public key encryption with sender recovery with the Cramer-Shoup hybrid encryption scheme.
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Christian Badertscher, Ueli Maurer, Björn Tackmann
ePrint Report ePrint Report
A digital signature scheme (DSS), which consists of a key-generation, a signing, and a verification algorithm, is an invaluable tool in cryptography. The first and still most widely used security definition for a DSS, existential unforgeability under chosen-message attack, was introduced by Goldwasser, Micali, and Rivest in 1988.

As DSSs serve as a building block in numerous complex cryptographic protocols, a security definition that specifies the guarantees of a DSS under composition is needed. Canetti (FOCS 2001, CSFW 2004) as well as Backes, Pfitzmann, and Waidner (CCS 2003) have described ideal functionalities for signatures in their respective composable-security frameworks. While several variants of these functionalities exist, they all share that the verification key and signature values appear explicitly.

In this paper, we describe digital signature schemes from a different, more abstract perspective. Instead of modeling all aspects of a DSS in a monolithic ideal functionality, our approach characterizes a DSS as a construction of a functionality for authentically reading values written by a certain party from certain assumed functionalities, e.g., for transmitting verification key and signature values. This approach resolves several technical complications of previous simulation-based approaches, captures the security of signature schemes in an abstract way, and allows for modular proofs.

We show that our definition is equivalent to existential unforgeability. We then model two example applications: (1) the certification of values via a signature from a specific entity, which with public keys as values is the core functionality of public-key infrastructures, and (2) the authentication of a session between a client and a server with the help of a digitally signed assertion from an identity provider. Single-sign-on mechanisms such as SAML rely on the soundness of the latter approach.
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Kaiyan Zheng, Peng Wang
ePrint Report ePrint Report
BRW-polynomial function is suggested as a preferred alternative of polynomial function, owing to its high efficiency and seemingly non-existent weak keys. In this paper we investigate the weak-key issue of BRW-polynomial function as well as BRW-instantiated cryptographic schemes. Though, in BRW-polynomial evaluation, the relationship between coefficients and input blocks is indistinct, we give out a recursive algorithm to compute another $(2^{v+1}-1)$-block message, for any given $(2^{v+1}-1)$-block message, such that their output-differential through BRW-polynomial evaluation, equals any given $s$-degree polynomial, where $v\ge\lfloor\log_2(s+1)\rfloor$. With such algorithm, we illustrate that any non-empty key subset is a weak-key class in BRW-polynomial function. Moreover any key subset of BRW-polynomial function, consisting of at least $2$ keys, is a weak-key class in BRW-instantiated cryptographic schemes like the Wegman-Carter scheme, the UHF-then-PRF scheme, DCT, etc. Especially in the AE scheme DCT, its confidentiality, as well as its integrity, collapses totally, when using weak keys of BRW-polynomial function, which are ubiquitous.
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03 January 2018

Benedikt Auerbach, Bertram Poettering
ePrint Report ePrint Report
Certain RSA-based protocols, for instance in the domain of group signatures, require a prover to convince a verifier that a set of RSA parameters is well-structured (e.g., that the modulus is the product of two distinct primes and that the exponent is co-prime to the group order). Various corresponding proof systems have been proposed in the past, with different levels of generality, efficiency, and interactivity.

This paper proposes two new proof systems for a wide set of properties that RSA and related moduli might have. The protocols are particularly efficient: The necessary computations are simple, the communication is restricted to only one round, and the exchanged messages are short. While the first protocol is based on prior work (improving on it by reducing the number of message passes from four to two), the second protocol is novel. Both protocols require a random oracle.
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Falk Schellenberg, Dennis R.E. Gnad, Amir Moradi, Mehdi B. Tahoori
ePrint Report ePrint Report
Hardware Trojans have gained increasing interest during the past few years. Undeniably, the detection of such malicious designs needs a deep understanding of how they can practically be built and developed. In this work we present a design methodology dedicated to FPGAs which allows measuring a fraction of the dynamic power consumption. More precisely, we develop internal sensors which are based on FPGA primitives, and transfer the internally-measured side-channel leakages outside. These are distributed and calibrated delay sensors which can indirectly measure voltage fluctuations due to power consumption. By means of a cryptographic core as a case study, we present different settings and parameters for our employed sensors. Using their side-channel measurements, we further exhibit practical key-recovery attacks confirming the applicability of the underlying measurement methodology. This opens a new door to integrate hardware Trojans in a) applications where the FPGA is remotely accessible and b) FPGA-based multi-user platforms where the reconfigurable resources are shared among different users. This type of Trojan is highly difficult to detect since there is no signal connection between targeted (cryptographic) core and the internally-deployed sensors.
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Luxembourg Institute of Science and Technology, Luxembourg
Job Posting Job Posting
Luxembourg Institute of Science and Technology (LIST), Luxembourg is seeking a PhD candidate to work in a project on the topic of IoT security. The 4-year project is sponsored by the Luxembourg National Research Fund (FNR), with a collaboration with the iTrust center at Singapore University of Technology and Design (SUTD), Singapore. The candidate will have the choice to spend 8 months at LIST and 4 months at SUTD, hosted by Prof. Jianying Zhou.

Based on the profile of the applicant, the topic can be either lightweight authentication protocols for IoT devices or privacy-preserving IoT data analysis protocols. More details will be available through email inquiries.

Closing date for applications: 31 March 2018

Contact: Dr. Qiang Tang

qiang.tang (at) list.lu

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Pooya Farshim, Julia Hesse, Dennis Hofheinz, Enrique Larraia
ePrint Report ePrint Report
We construct a graded encoding scheme (GES), an approximate form of graded multilinear maps. Our construction relies on indistinguishability obfuscation, and a pairing-friendly group in which (a suitable variant of) the strong Diffie--Hellman assumption holds. As a result of this abstract approach, our GES has a number of advantages over previous constructions. Most importantly:

a) We can prove that the multilinear decisional Diffie--Hellman (MDDH) assumption holds in our setting, assuming the used ingredients are secure (in a well-defined and standard sense). In particular, and in contrast to previous constructions, our GES does not succumb to so-called ``zeroizing'' attacks. Indeed, our scheme is currently the only GES for which no known cryptanalysis applies. b) Encodings in our GES do not carry any noise. Thus, unlike previous GES constructions, there is no upper bound on the number of operations one can perform with our encodings. Hence, our GES essentially realizes what Garg et al.~(EUROCRYPT 2013) call the ``dream version'' of a GES.

Technically, our scheme extends a previous, non-graded approximate multilinear map scheme due to Albrecht et al.~(TCC 2016-A). To introduce a graded structure, we develop a new view of encodings at different levels as polynomials of different degrees.
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Thomas Agrikola, Dennis Hofheinz
ePrint Report ePrint Report
We construct a mathematical group in which an interactive variant of the very general Uber assumption holds. Our construction uses probabilistic indistinguishability obfuscation, fully homomorphic encryption, and a pairing-friendly group in which a mild and standard computational assumption holds. While our construction is not practical, it constitutes a feasibility result that shows that under a strong but generic, and a mild assumption, groups exist in which very general computational assumptions hold. We believe that this grants additional credibility to the Uber assumption.
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02 January 2018

University of Tartu, Estonia
Job Posting Job Posting
The cryptography group at the Institute of Computer Science of the University of Tartu seeks a postdoctoral researcher and a Ph.D. student in computer science. The positions will be supporting an EU H2020 project on privacy-enhancing cryptography for distributed ledgers (PRIViILEDGE). The postdoctoral researcher should have a strong track record in cryptography, and in particular in the design of efficient privacy-preserving protocols (e.g., zero-knowledge proofs) and/or blockchain. The Ph.D. student is expected to have an MSc degree or equivalent, and a strong background in mathematics and/or theoretical computer science, with some background in cryptography.

Successful candidates will help to design and evaluate privacy-enhancing cryptographic techniques for blockchains and perform other research duties to help with the project, coordinate and advise partners on implementing research prototypes (the candidate may or may not participate in implementing) and ensure the smooth administration of the project including the timely delivery of research output. (Some of these duties apply only to the postdoctoral researcher.) We expect candidates to be able to develop and devote significant time to their own research agenda around the theme of the project.

The EU H2020 project PRIViLEDGE requires travel to and collaboration with colleagues throughout the European Union. Full travel and equipment budget is available to support the activities of the project.

For any inquiries or to apply for the positions, submit a full research curriculum-vitae (cv), names of two references, and a research statement (obligatory for the postdoctoral researcher) to Prof Helger Lipmaa (firstname.lastname (at) ut.ee) clearly indicating the position sought. This is crucial since we have several open positions.

The project started from January 1, 2018, and will last for three years. In the case of interest, the candidates may later seek further employment but this is not necessarily guaranteed.

Closing date for applications: 1 February 2018

Contact: Helger Lipmaa

lead research fellow (research professor)

University of Tartu

helger dot lipmaa at ut dot ee

More information: https://crypto.cs.ut.ee/index.php/Main/2018priviledge

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IOHK Research
Job Posting Job Posting
Input Output HK (IOHK) Ltd is looking for talented cryptography and distributed systems researchers to work on various aspects of core blockchain technology research. Successful hires will join the team of research fellows at IOHK Research and contribute in different projects linked to our development efforts to realise the next generation of blockchain technology.

We offer flexible work style with a chance to work in a very dynamic team with talented people from all around the world.

Review of applications will start immediately and will continue until positions are filled

Closing date for applications: 28 February 2018

More information: https://iohk.io/careers/#op-136094-research-fellow

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Ruhr-Universität Bochum
Job Posting Job Posting
The cryptography group at Ruhr-Universität Bochum is looking for a postdoctoral researcher in the area of theoretical cryptography.

Profile:
All candidates with a PhD degree in cryptography or data security are encouraged to apply. You should have proven your excellence in research by publications in major international cryptography conferences, for example in the IACR conferences CRYPTO, EUROCRYPT, ASIACRYPT, PKC, and TCC.

The salary will depend on your qualification and will start at approximately 50k Euro (gross/year). There will be sufficient funding for attending conferences and workshops. Funding is available until October 2019, with possible extensions. Excellent group atmosphere.

Application material:
Letter of motivation, CV (incl. list of publications).

Feel free to contact me (Eike Kiltz) for any further question.

Closing date for applications: 4 February 2018

Contact: Eike Kiltz

More information: http://www.crypto.rub.de/resgroups/foc/index.html.en

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Jérôme Courtois, Lokman Abbas-Turki, Jean-Claude Bajard
ePrint Report ePrint Report
Randomized moduli in Residue Number System (RNS) generate effectively large noise and make quite difficult to attack a secret key $K$ from only few observations of Hamming distances $H=(H_0, ..., H_{d-1})$ that result from the changes on the state variable. Since Hamming distances have gaussian distribution and most of the statistic tests, like NIST's ones, evaluate discrete and uniform distribution, we choose to use side-channel attacks as a tool in order to evaluate randomisation of Hamming distances . This paper analyses the resilience against Correlation Power Analysis (CPA), Differential Power Analysis (DPA) when the cryptographic system is protected against Simple Power Analysis (SPA) by a Montgomery Powering Ladder (MPL). While both analysis use only information on the current state, DPA Square crosses the information of all the states. We emphasize that DPA Square performs better than DPA and CPA and we show that the number of observations $S$ needed to perform an attack increases with respect to the number of moduli $n$. For Elliptic Curves Cryptography (ECC) and using a Monte Carlo simulation, we conjecture that $S = O((2n)!/(n!)^2)$.
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Yu-Ao Chen, Xiao-Shan Gao
ePrint Report ePrint Report
Decision of whether a Boolean equation system has a solution is an NPC problem and finding a solution is NP hard. In this paper, we present a quantum algorithm to decide whether a Boolean equation system F has a solution and compute one if F does have solutions with any given success probability. The complexity of the algorithm is polynomial in the size of F and the condition number of F. As a consequence, we have achieved exponential speedup for solving sparse Boolean equation systems if their condition numbers are small. We apply the quantum algorithm to the cryptanalysis of the stream cipher Trivum, the block cipher AES, the hash function SHA-3/Keccak, and the multivariate public key cryptosystems, and show that they are secure under quantum algebraic attack only if the condition numbers of the corresponding equation systems are large.
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Qiong Huang, Hongbo Li
ePrint Report ePrint Report
How to efficiently search over encrypted data is an important and interesting problem in the cloud era. To solve it, Boneh et al. introduced the notion of public key encryption with keyword search (PEKS), in 2004. However, in almost all the PEKS schemes an inside adversary may recover the keyword from a given trapdoor by exhaustively guessing the keywords offline. How to resist the inside keyword guessing attack in PEKS remains a hard problem. In this paper we propose introduce the notion of Public-key Authenticated Encryption with Keyword Search (PAEKS) to solve the problem, in which the data sender not only encrypts a keyword, but also authenticates it, so that a verifier would be convinced that the encrypted keyword can only be generated by the sender. We propose a concrete and efficient construction of PAEKS, and prove its security based on simple and static assumptions in the random oracle model under the given security models. Experimental results show that our scheme enjoys a comparable efficiency with Boneh et al.'s scheme.
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Liran Lerman, Stjepan Picek, Nikita Veshchikov, Olivier Markowitch
ePrint Report ePrint Report
Masking and hiding schemes represent a well-researched and successful option to follow when considering side-channel countermeasures. Still, such measures increase the implementation cost in term of power consumption, clock cycles, and random numbers generation. In fact, the higher the order of protection against side-channel adversaries, the higher the implementation cost of countermeasures. S-boxes represent the most vulnerable part in an implementation when considering side-channel adversary. In this paper, we investigate how to generate S-boxes that have improved resilience against varying orders of side-channel attacks while minimising the implementation costs. We examine whether S-boxes generated against a certain order of attack also represent a good solution when considering different order of attacks. We demonstrate that we successfully generated S-boxes resilient against a certain physical attack order but the improvements are small. As a result, S-boxes that are resilient against first order attacks stay resilient against higher-order attacks, which saves computational power during the design of higher-order side-channel attacks resilient S-boxes.
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Xiao Wang, Dov Gordon, Jonathan Katz
ePrint Report ePrint Report
We show a protocol for two-server oblivious RAM (ORAM) that is simpler and more efficient than the best prior work. Our construction combines any tree-based ORAM with an extension of a two-server private information retrieval scheme by Boyle et al., and is able to avoid recursion and thus use only one round of interaction. In addition, our scheme has a very cheap initialization phase, making it well suited for applications to RAM-based secure computation.

A practical instantiation of our protocol has excellent concrete parameters: for storing an $N$-element array of arbitrary size data blocks with statistical security parameter $\lambda$, the servers each store $4N$ encrypted blocks, the client stores $\lambda+2 \log N$ blocks, and the total communication per logical access is roughly $10\log N$ encrypted blocks.
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Stjepan Picek, Ioannis Petros Samiotis, Annelie Heuser, Jaehun Kim, Shivam Bhasin, Axel Legay
ePrint Report ePrint Report
Profiled side-channel attacks represent the most powerful category of side-channel attacks. There we have a number of methods promising to work well in a number of different scenarios. Still, the area is constantly improving: we started with template attack and then went into different machine learning techniques that outperformed template attack in certain settings. Recently, deep learning techniques brought promise of even better results. In this paper, we ask a question whether deep learning is actually better than machine learning, and if yes, in what situations exactly. To this end, we compare several machine learning techniques and a well-known deep learning technique -- convolutional neural networks in a number of scenarios. Our results point that convolutional neural networks indeed outperforms machine learning in several scenarios but that often there is no compelling reason to use such a complex technique. In fact, if comparing techniques without extra steps like pre-processing, we see obvious advantage for deep learning only when the level of noise is small, the number of measurements is high, and the number of features is high. All other tested situations actually show that machine learning, for a significantly lower computational cost, performs the same or even better. Finally, we conduct a small experiment that opens the question whether convolutional neural networks are actually the best choice in SCA context.
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Moni Naor, Benny Pinkas, Eyal Ronen
ePrint Report ePrint Report
Bad choices of passwords were and are a pervasive problem. Most password alternatives (such as two-factor authentication) may increase cost and arguably hurt the usability of the system. This is of special significance for low cost IoT devices.

Users choosing weak passwords do not only compromise themselves, but the whole eco system. For example, common and default passwords in IoT devices were exploited by hackers to create botnets and mount severe attacks on large Internet services, such as the Mirai botnet DDoS attack.

We present a method to help protect the Internet from such large scale attacks. We enable a server to identify popular passwords (heavy hitters), and publish a list of over-popular passwords that must be avoided. This filter ensures that no single password can be used to comprise a large percentage of the users. The list is dynamic and can be changed as new users are added or when current users change their passwords. We apply maliciously secure two-party computation and differential privacy to protect the users' password privacy. Our solution does not require extra hardware or cost, and is transparent to the user.

The construction is secure even against a malicious coalition of devices which tries to manipulate the protocol in order to hide the popularity of some password that the attacker is exploiting. We show a proof-of-concept implementation and analyze its performance.

Our construction can also be used in any setting where one would desire to privately learn heavy hitters in the presence of an active malicious adversary. For example, learning the most popular sites accessed by the TOR network.
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Cagdas Calik, Meltem Sonmez Turan, Rene Peralta
ePrint Report ePrint Report
The multiplicative complexity of a Boolean function is the minimum number of AND gates that are necessary and sufficient to implement the function over the basis (AND, XOR, NOT). Finding the multiplicative complexity of a given function is computationally intractable, even for functions with small number of inputs. Turan et al. showed that $n$-variable Boolean functions can be implemented with at most $n-1$ AND gates for $n\leq 5$. A counting argument can be used to show that, for $n \geq 7$, there exist $n$-variable Boolean functions with multiplicative complexity of at least $n$. In this work, we propose a method to find the multiplicative complexity of Boolean functions by analyzing circuits with a particular number of AND gates and utilizing the affine equivalence of functions. We use this method to study the multiplicative complexity of 6-variable Boolean functions, and calculate the multiplicative complexities of all 150357 affine equivalence classes. We show that any 6-variable Boolean function can be implemented using at most 6 AND gates. Additionally, we exhibit specific 6-variable Boolean functions which have multiplicative complexity 6.
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Benny Applebaum, Barak Arkis
ePrint Report ePrint Report
Consider the following secret-sharing problem. Your goal is to distribute a long file $s$ between $n$ servers such that $(d-1)$-subsets cannot recover the file, $(d+1)$-subsets can recover the file, and $d$-subsets should be able to recover $s$ if and only if they appear in some predefined list $L$. How small can the information ratio (i.e., the number of bits stored on a server per each bit of the secret) be?

We initiate the study of such $d$-uniform access structures, and view them as a useful scaled-down version of general access structures. Our main result shows that, for constant $d$, any $d$-uniform access structure admits a secret sharing scheme with a *constant* asymptotic information ratio of $c_d$ that does not grow with the number of servers $n$. This result is based on a new construction of $d$-party Conditional Disclosure of Secrets (Gertner et al., JCSS '00) for arbitrary predicates over $n$-size domain in which each party communicates at most four bits per secret bit.

In both settings, previous results achieved non-constant information ratio which grows asymptotically with $n$ even for the simpler (and widely studied) special case of $d=2$. Moreover, our results provide a unique example for a natural class of access structures $F$ that can be realized with information rate smaller than its bit-representation length $\log |F|$ (i.e., $\Omega( d \log n)$ for $d$-uniform access structures) showing that amortization can beat the representation size barrier.

Our main result applies to exponentially long secrets, and so it should be mainly viewed as a barrier against amortizable lower-bound techniques. We also show that in some natural simple cases (e.g., low-degree predicates), amortization kicks in even for quasi-polynomially long secrets. Finally, we prove some limited lower-bounds, point out some limitations of existing lower-bound techniques, and describe some applications to the setting of private simultaneous messages.
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