International Association for Cryptologic Research

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21 June 2021

Liron Bronfman, Ron D. Rothblum
ePrint Report ePrint Report
Modern cryptography fundamentally relies on the assumption that the adversary trying to break the scheme is computationally bounded. This assumption lets us construct cryptographic protocols and primitives that are known to be impossible otherwise. In this work we explore the effect of bounding the adversary's power in other information theoretic proof-systems and show how to use this assumption to bypass impossibility results.

We first consider the question of constructing succinct PCPs. These are PCPs whose length is polynomial only in the length of the original NP witness (in contrast to standard PCPs whose length is proportional to the non-deterministic verification time). Unfortunately, succinct PCPs are known to be impossible to construct under standard complexity assumptions. Assuming the sub-exponential hardness of the learning with errors (LWE) problem, we construct succinct probabilistically checkable arguments or PCAs (Zimand 2001, Kalai and Raz 2009), which are PCPs in which soundness is guaranteed against efficiently generated false proofs. Our PCA construction is for every NP relation that can be verified by a small-depth circuit (e.g., SAT, clique, TSP, etc.) and in contrast to prior work is publicly verifiable and has constant query complexity. Curiously, we also show, as a proof-of-concept, that such publicly-verifiable PCAs can be used to derive hardness of approximation results.

Second, we consider the notion of Instance Compression (Harnik and Naor, 2006). An instance compression scheme lets one compress, for example, a CNF formula $\varphi$ on $m$ variables and $n \gg m$ clauses to a new formula $\varphi'$ with only $poly(m)$ clauses, so that $\varphi$ is satisfiable if and only if $\varphi'$ is satisfiable. Instance compression has been shown to be closely related to succinct PCPs and is similarly highly unlikely to exist. We introduce a computational analog of instance compression in which we require that if $\varphi$ is unsatisfiable then $\varphi'$ is effectively unsatisfiable, in the sense that it is computationally infeasible to find a satisfying assignment for $\varphi'$ (although such an assignment may exist). Assuming the same sub-exponential LWE assumption, we construct such computational instance compression schemes for every bounded-depth NP relation. As an application, this lets one compress $k$ formulas $\phi_1,\dots,\phi_k$ into a single short formula $\phi$ that is effectively satisfiable if and only if at least one of the original formulas was satisfiable.
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Pudong, China, 16 December - 18 December 2021
Event Calendar Event Calendar
Event date: 16 December to 18 December 2021
Submission deadline: 26 July 2021
Notification: 6 September 2021
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Kolkata, India, 2 December - 4 December 2021
Event Calendar Event Calendar
Event date: 2 December to 4 December 2021
Submission deadline: 31 August 2021
Notification: 31 October 2021
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Bali, Indonesia, 9 November - 13 November 2021
Event Calendar Event Calendar
Event date: 9 November to 13 November 2021
Submission deadline: 7 July 2021
Notification: 30 August 2021
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King Khaled University
Job Posting Job Posting
King Khaled University announces an opportunity to apply for an Assistant Professor and above job in Abha, Kingdom of Saudi Arabia at College of Computer Science. The College of Computer Science has 3 Programs in Information Security namely MSc in Information Security, High Diploma in Cyber Security and Information Security tracks in three BSc programs (Computer Science, Information Systems and Computer Engineering).

Closing date for applications:

Contact: Dr. Sarah Abu Ghazalah sabugazalah@kku.edu.sa

More information: https://cs.kku.edu.sa/en

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University College Cork, Ireland
Job Posting Job Posting
We are currently seeking to recruit a Post-Doctoral Researcher in security and privacy for e-health and smart wearables. The position is funded by Holistics, a 7.4 million research project supported by the Disruptive Technologies Innovation Fund. Holistics focuses on smart human sensing for health, aging and wellness. The Post-Doctoral Researcher will investigate how to achieve privacy-preserving computation of medical and physiological information collected by wearables and other sensors. In particular, the research will focus on cryptographic protocols and privacy enhancing technologies, in order to provide data and communication security, as well as blockchain technology, to provide traceability and user control.
The researcher is expected to have a PhD, and a track record of publications in the areas of security, privacy or cryptography. Previous experience in e-health and wearable security is welcome, but not required. The Post-Doctoral Researcher will work under the supervision of Dr. Paolo Palmieri, and will collaborate with other members of the team working on security and privacy, including a number of PhD students. Funding is available for 1 year, with an end date of August 2022. Funding for travel and research costs is also available. The start date is flexible, but early availability is an asset.

Deadline for applications: 25-Jun-2021 12:00 (noon) Irish time

Closing date for applications:

Contact: For informal discussion please contact Dr. Paolo Palmieri at p.palmieri@cs.ucc.ie
Applications must be submitted by the deadline on the university HR portal (select Job ID no. 046751): https://ore.ucc.ie/pls/corerecruit/

More information: https://my.corehr.com/pls/uccrecruit/erq_jobspec_version_4.display_form?p_company=5023&p_internal_external=E&p_display_in_irish=N&p_applicant_no=&p_recruitment_id=046751&p_process_type=&p_form_profile_detail=&p_display_apply_ind=Y&p_refresh_search=Y

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Université libre de Bruxelles
Job Posting Job Posting
The Computer Science Department at Université libre de Bruxelles is seeking to recruit several teaching assistants. These half teaching / half research PhD positions are for three years, usually renewable for another three years. PhD salaries in Belgium are very competitive.

Teaching assistants will perform high-quality research under the supervision of one professor from the Department in order to obtain a PhD degree. Possible research topics include any area of cryptography, particularly applied, post-quantum and mathematical cryptography. Cryptography researchers affiliated with ULB include Liran Lerman, Olivier Markowitch, Christophe Petit and Gilles Van Assche

Main requirements:
- master degree in computer science or a cognate discipline
- sufficient knowledge of French to teach at undergraduate level

More information here: http://wwwdev.ulb.ac.be/greffe/files/7311.pdf

For informal inquiries, particularly related to post-quantum and mathematical cryptography, please contact Christophe Petit (first name dot last name at ulb dot be)

Closing date for applications:

Contact: Christophe Petit

More information: http://wwwdev.ulb.ac.be/greffe/files/7311.pdf

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Robin Jadoul, Nigel P. Smart, Barry Van Leeuwen
ePrint Report ePrint Report
We examine Multi-Party Computation protocols in the active-security-with-abort setting for $Q_2$ access structures over small and large finite fields $F_p$ and over rings $Z_{p^k}$. We give general protocols which work for any $Q_2$ access structure which is realised by a multiplicative Extended Span Program. We generalize a number of techniques and protocols from various papers and compare the different methodologies. In particular we examine the expected communication cost per multiplication gate when the protocols are instantiated with different access structures.
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Keita Xagawa, Akira Ito, Rei Ueno, Junko Takahashi, Naofumi Homma
ePrint Report ePrint Report
We investigate *all* NIST PQC Round~3 KEM candidates from the viewpoint of fault-injection attacks: Classic McEliece, Kyber, NTRU, Saber, BIKE, FrodoKEM, HQC, NTRU Prime, and SIKE. All KEM schemes use variants of the Fujisaki-Okamoto transformation, so the equality test of re-encryption in decapsulation is critical.

We survey effective key-recovery attacks if we can skip the equality test. We found the existing key-recovery attacks against Kyber, NTRU, Saber, FrodoKEM, HQC, one of two KEM schemes in NTRU Prime, and SIKE. We propose a new key-recovery attack against the other KEM scheme in NTRU Prime. We also report an attack against BIKE that leads to leakage of information of secret keys.

The open-source pqm4 library contains all KEM schemes except Classic McEliece and HQC. We show that giving a single instruction-skipping fault in the decapsulation processes leads to skipping the equality test *virtually* for Kyber, NTRU, Saber, BIKE, and SIKE. We also report the experimental attacks against them. We also report the implementation of NTRU Prime allows chosen-ciphertext attacks freely and the timing side-channel of FrodoKEM reported in Guo, Johansson, and Nilsson (CRYPTO 2020) remains.
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Feng Hao
ePrint Report ePrint Report
From June 2019 to March 2020, IETF conducted a selection process to choose password authenticated key exchange (PAKE) protocols for standardization. Similar standardization efforts were conducted before by IEEE (P1362.2) and ISO/IEC (11770-4). An important hallmark for this IETF selection process is its openness: anyone can nominate any candidate; all reviews are public; all email discussions on the IETF mailing lists are archived and publicly readable. However, despite the openness, it is unclear whether this IETF selection process has presented a successful model. Several important questions that were raised during the selection process had remained unaddressed even after the two winners (CPace and OPAQUE) were announced. We reflect on the IETF PAKE selection process as a case study, and summarize lessons in a set of principles with the hope to improve security standardization in the future.
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Pasan Tennakoon, Supipi Karunathilaka, Rishikeshan Lavakumar, Janaka Alawatugoda
ePrint Report ePrint Report
Well-known authentication mechanisms such as Public-key Infrastructure (PKI) and Identity-based Public-key Certificates (ID-PKC) are not suitable to integrate with the peer-to-peer (P2P) network environment. The reason is the difficulty in maintaining a centralized authority to manage the certificates. The authentication becomes even harder in an anonymous environment. We present three authentication protocols such that the users can authenticate themselves in an anonymous P2P network, without revealing their identities. Firstly, we propose a way to use existing ring signature schemes to obtain anonymous authentication. Secondly, we propose an anonymous authentication scheme utilizing secret sharing schemes. Finally, we propose a zero-knowledge-based anonymous authentication protocol. We provide security justifications of the three protocols in terms of anonymity, completeness, soundness, resilience to impersonation attacks, and resilience to replay attacks.
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Luca Mariot, Stjepan Picek, Radinka Yorgova
ePrint Report ePrint Report
One of the finalists in the NIST post-quantum cryptography competition is the Classic McEliece cryptosystem. Unfortunately, its public key size represents a practical limitation. One option to address this problem is to use different families of error-correcting codes. Most of such attempts failed as those cryptosystems were proved not secure. In this paper, we propose a McEliece type cryptosystem using high minimum distance self-dual codes and punctured codes derived from them. To the best of our knowledge, such codes have not been implemented in a code-based cryptosystem until now. For the 80-bit security case, we construct an optimal self-dual code of length 1\,064, which, as far as we are aware, was not presented before. Compared to the original McEliece cryptosystem, this allows us to reduce the key size by about 38.5\%.
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Xiao Liang, Omkant Pandey
ePrint Report ePrint Report
General-purpose zero-knowledge proofs for all \textsf{NP} languages greatly simplify secure protocol design. However, they inherently require the code of the underlying relation. If the relation contains black-box calls to a cryptographic function, the code of that function must be known to use the ZK proof, even if both the relation and the proof require only black-box access to the function. Rosulek (Crypto'12) shows that non-trivial proofs for even simple statements, such as membership in the range of a one-way function, require non-black-box access.

We propose an alternative approach to bypass Rosulek's impossibility result. Instead of asking for a ZK proof directly for the given one-way function $f$, we seek to construct a \textit{new} one-way function $F$ given only black-box access to $f$, \textit{and} an associated ZK protocol for proving non-trivial statements, such as range membership, over its output. We say that $F$, along with its proof system, is a \textit{proof-based} one-way function. We similarly define proof-based versions of other primitives, specifically pseudo-random generators and collision-resistant hash functions.

We show how to construct proof-based versions of each of the primitives mentioned above from their ordinary counterparts under mild but necessary restrictions over the input. More specifically,

- We first show that if the prover entirely chooses the input, then proof-based pseudo-random generators cannot be constructed from ordinary ones in a black-box manner, thus establishing that some restrictions over the input are necessary.

- We next present black-box constructions handling inputs of the form $(x,r)$ where $r$ is chosen uniformly by the verifier. This is similar to the restrictions in the widely used Goldreich-Levin theorem. The associated ZK proofs support range membership over the output as well as arbitrary predicates over prefixes of the input.

Our results open up the possibility that general-purpose ZK proofs for relations that require black-box access to the primitives above may be possible in the future without violating their black-box nature by instantiating them using proof-based primitives instead of ordinary ones.
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Sen Yuan, Milan Shen, Ilya Mironov, Anderson C. A. Nascimento
ePrint Report ePrint Report
Secure Multiparty Computation (MPC) is an invaluable tool for training machinelearning models when the training data cannot be directly accessed by the modeltrainer. Unfortunately, complex algorithms, such as deep learning models, havetheir computational complexities increased by orders of magnitude when performedusing MPC protocols. In this contribution, we study how to efficiently train animportant class of machine learning problems by using MPC where features areknown by one of the computing parties and only the labels are private. We proposenew protocols combining differential privacy (DP) and MPC in order to privatelyand efficiently train a deep learning model in such scenario. More specifically, werelease differentially private information during the MPC computation to dramat-ically reduce the training time. All released information idoes not compromisethe privacy of the labels at the individual level. Our protocols can have runningtimes that are orders of magnitude better than a straightforward use of MPC at amoderate cost in model accuracy.
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Vipul Goyal, Antigoni Polychroniadou, Yifan Song
ePrint Report ePrint Report
The best known $n$ party unconditional multiparty computation protocols with an optimal corruption threshold communicates $O(n)$ field elements per gate. This has been the case even in the semi-honest setting despite over a decade of research on communication complexity in this setting. Going to the slightly sub-optimal corruption setting, the work of Damgard, Ishai, and Kroigaard (EUROCRYPT 2010) provided the first protocol for a single circuit achieving communication complexity of $O(\log|C|)$ elements per gate. While a number of works have improved upon this result, obtaining a protocol with $O(1)$ field elements per gate has been an open problem.

In this work, we construct the first unconditional multi-party computation protocol evaluating a single arithmetic circuit with amortized communication complexity of $O(1)$ elements per gate.
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Vipul Goyal, Hanjun Li, Rafail Ostrovsky, Antigoni Polychroniadou, Yifan Song
ePrint Report ePrint Report
In this work, we address communication, computation, and round efficiency of unconditionally secure multi-party computation for arithmetic circuits in the honest majority setting. We achieve both algorithmic and practical improvements:

-- The best known result in the semi-honest setting has been due to Damgard and Nielsen (CRYPTO 2007). Over the last decade, their construction has played an important role in the progress of efficient secure computation. However despite a number of follow-up works, any significant improvements to the basic semi-honest protocol have been hard to come by. We show 33% improvement in communication complexity of this protocol. We show how to generalize this result to the malicious setting, leading to the best known unconditional honest majority MPC with malicious security. -- We focus on the round complexity of the Damgard and Nielsen protocol and improve it by a factor of 2. Our improvement relies on a novel observation relating to an interplay between Damgard and Nielsen multiplication and Beaver triple multiplication. An implementation of our constructions shows an execution run time improvement compared to the state of the art ranging from 30% to 50%.
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Cecilia Boschini, Dario Fiore, Elena Pagnin
ePrint Report ePrint Report
For decades signature verification has been regarded as a unique, monolithic process. Here, we want to look at it with fresh eyes and pose two fundamental questions: (1) is it possible to extract meaningful information from a partial signature verification? (flexibility); and (2) is it possible to speed up the verification process without impacting unforgeability? (efficiency). We answer both questions in a positive way for specific classes of post-quantum secure schemes.

In detail, we develop formal frameworks for signatures with efficient verification, flexible verification and combinations of the two. Crucially, we regard these as features that may enhance existing constructions. Flexibility is of particular interest as standard verification cannot provide any meaningful information about the validity of a given signature if interrupted in media res. We exhibit generic transformations to realize efficient (and) flexible verification for schemes that involve matrix-vector multiplications among the verification checks. In addition, we present concrete instantiations of efficient (and) flexible verification for Rainbow [ACNS05] (as representative of schemes based on multivariate quadratic equations), MP [EC12] and GVW [STOC15] (as representative of lattice-based constructions). Interestingly, we are able to efficiently verify Rainbow signatures using 50% of the original computational cost, and as little as 0.4% for GVW homomorphic signatures, provided a one-time preprocessing and with only negligible impact on security.
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Onur Gunlu, Matthieu Bloch, Rafael F. Schaefer
ePrint Report ePrint Report
We consider a distributed function computation problem in which parties observing noisy versions of a remote source facilitate the computation of a function of their observations at a fusion center through public communication. The distributed function computation is subject to constraints, including not only reliability and storage but also secrecy and privacy. Specifically, 1) the function computed should remain secret from an eavesdropper observing the public communication and correlated observations, measured in terms of the information leaked about the arguments of the function, to ensure secrecy regardless of the exact function used; 2) the remote source should remain private from the eavesdropper and the fusion center, measured in terms of the information leaked about the remote source itself. We derive the exact rate regions for lossless and lossy single-function computation and illustrate the lossy single-function computation rate region for an information bottleneck example, in which the optimal auxiliary random variables are characterized for binary-input symmetric-output channels. We extend the approach to lossless and lossy asynchronous multiple-function computations with joint secrecy and privacy constraints, in which case inner and outer bounds for the rate regions that differ only in the Markov chain conditions imposed are characterized.
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Lars Tebelmann, Ulrich Kühne, Jean-Luc Danger, Michael Pehl
ePrint Report ePrint Report
To compensate for the poor reliability of Physical Unclonable Function (PUF) primitives, some low complexity solutions not requiring error-correcting codes (ECC) have been proposed. One simple method is to discard less reliable bits, which are indicated in the helper data stored inside the PUF. To avoid discarding bits, the Two-metric Helper Data (TMH) method, which particularly applies to oscillation-based PUFs, allows to keep all bits by using different metrics when deriving the PUF response. However, oscillation-based PUFs are sensitive to side-channel analysis (SCA) since the frequencies of the oscillations can be observed by current or electromagnetic measurements. This paper studies the security of PUFs using TMH in order to obtain both reliable and robust PUF responses. We show that PUFs using TMH are sensitive to SCA, but can be greatly improved by using temporal masking and adapted extraction metrics. In case of public helper data, an efficient protection requires the randomization of the measurement order. We study two different solutions, providing interesting insights into trade-offs between security and complexity.
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Christof Beierle, Patrick Felke, Gregor Leander
ePrint Report ePrint Report
In their Eurocrypt 2021 paper, Beierle et al. showed that the proprietary stream ciphers GEA-1 and GEA-2, widely used for GPRS encryption in the late 1990s and during the 2000s, are cryptographically weak and presented attacks on both algorithms with practical time complexity. Although GEA-1 and GEA-2 are classical stream ciphers, the attack on GEA-1 is interesting from a cryptanalytic point of view. As outlined in the aforementioned paper, there is a strong indication that the security of GEA-1 was deliberately weakened to 40 bits in order to fulfill European export restrictions. In this paper we analyze the design further and answer the open question on how to construct a GEA-1-like cipher with such a reduced security. Indeed, the actual GEA-1 instance could be obtained from this construction. Our observations and analysis yields new theoretical insights in designing secure stream ciphers.
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