International Association for Cryptologic Research

International Association
for Cryptologic Research

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17 May 2022

Lior Rotem, Gil Segev
ePrint Report ePrint Report
Identifying the concrete hardness of the discrete logarithm problem is crucial for instantiating a vast range of cryptographic schemes. Towards this goal, Corrigan-Gibbs and Kogan (EUROCRYPT '18) extended the generic-group model for capturing "preprocessing" algorithms, offering a tradeoff between the space $S$ required for storing their preprocessing information, the time $T$ required for their online phase, and their success probability. Corrigan-Gibbs and Kogan proved an upper bound of $\widetilde{O}(S T^2/N)$ on the success probability of any such algorithm, where $N$ is the prime order of the group, matching the known preprocessing algorithms.

However, the known algorithms assume the availability of truly random hash functions, without taking into account the space required for storing them as part of the preprocessing information, and the time required for evaluating them in essentially each and every step of the online phase. This led Corrigan-Gibbs and Kogan to pose the open problem of designing a discrete-logarithm preprocessing algorithm that is fully constructive in the sense that it relies on explicit hash functions whose description lengths and evaluation times are taken into account in the algorithm's space-time tradeoff.

We present a fully constructive discrete-logarithm preprocessing algorithm with an asymptotically optimal space-time tradeoff (i.e., with success probability $\widetilde{\Omega}(S T^2/N)$). In addition, we obtain an algorithm that settles the corresponding tradeoff for the computational Diffie-Hellman problem. Our approach is based on derandomization techniques that provide rather weak independence guarantees. On the one hand, we show that such guarantees can be realized in our setting with only a minor efficiency overhead. On the other hand, exploiting such weak guarantees requires a more subtle and in-depth analysis of the underlying combinatorial structure compared to that of the known preprocessing algorithms and their analyses.
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Hao Chung, Elisaweta Masserova, Elaine Shi, Sri Aravinda Krishnan Thyagarajan
ePrint Report ePrint Report
Fair exchange is a fundamental primitive for blockchains, and is widely adopted in applications such as atomic swaps, payment channels, and DeFi. Most existing designs of blockchain-based fair exchange protocols consider only the users as strategic players, and assume honest miners. However, recent works revealed that the fairness of commonly deployed fair exchange protocols can be completely broken in the presence of user-miner collusion. In particular, a user can bribe the miners to help it cheat — a phenomenon also referred to as Miner Extractable Value (MEV).

We provide the first formal treatment of side-contract-resilient fair exchange. We propose a new fair exchange protocol called Ponyta, and we prove that the protocol is incentive compatible in the presence of user-miner collusion. In particular, we show that Ponyta satisfies a coalition-resistant Nash equilibrium. Further, we show how to use Ponyta to realize a cross-chain coin swap application, and prove that our coin swap protocol also satisfies coalition-resistant Nash equilibrium. Our work helps to lay the theoretical groundwork for studying side-contract-resilient fair exchange. Finally, we present practical instantiations of Ponyta in Bitcoin and Ethereum with minimal overhead in terms of costs for the users involved in the fair exchange, thus showcasing instantiability of Ponyta with a wide range of cryptocurrencies.
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16 May 2022

Lidong Han, Guangwu Xu, Qi Xie, Xiao Tan , Chengliang Tian
ePrint Report ePrint Report
In this letter, we analyze the security of identity-based provable data possession protocol with compressed cloud storage (published in IEEE TIFS, doi:10.1109/TIFS.2022. 3159152). An adversary can recover the ephemeral secret keys from only two encrypted blocks and obtain the original data with a high probability under Dirichlet’s basic result. Moreover, he can impersonates a data owner to outsource any file to the cloud in an unwanted way.
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Samuel Sousa, Roman Kern
ePrint Report ePrint Report
Deep learning (DL) models for natural language processing (NLP) tasks often handle private data, demanding protection against breaches and disclosures. Data protection laws, such as the European Union's General Data Protection Regulation (GDPR), thereby enforce the need for privacy. Although many privacy-preserving NLP methods have been proposed in recent years, no categories to organize them have been introduced yet, making it hard to follow the progress of the literature. To close this gap, this article systematically reviews over sixty DL methods for privacy-preserving NLP published between 2016 and 2020, covering theoretical foundations, privacy-enhancing technologies, and analysis of their suitability for real-world scenarios. First, we introduce a novel taxonomy for classifying the existing methods into three categories: data safeguarding methods, trusted methods, and verification methods. Second, we present an extensive summary of privacy threats, datasets for applications, and metrics for privacy evaluation. Third, throughout the review, we describe privacy issues in the NLP pipeline in a holistic view. Further, we discuss open challenges in privacy-preserving NLP regarding data traceability, computation overhead, dataset size, the prevalence of human biases in embeddings, and the privacy-utility tradeoff. Finally, this review presents future research directions to guide successive research and development of privacy-preserving NLP models.
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Zhichuang Liang, Boyue Fang, Jieyu Zheng, Yunlei Zhao
ePrint Report ePrint Report
Post-quantum cryptography (PQC) is critical to the next generation of network security. The NTRU lattice is a promising candidate to construct practical cryptosystems resistant to quantum computing attacks, and particularly plays a leading role in the ongoing NIST post-quantum cryptography standardization. On the one hand, it is benefited from a strong security guarantee since it has essentially not been broken over 24 years. On the other hand, all the known patent threats against NTRU have expired, which is deemed a critical factor for consideration when deploying PQC algorithms in reality. Nevertheless, there are still some obstacles to the computational efficiency and bandwidth complexity of NTRU-based constructions of key encapsulation mechanisms (KEM). To address these issues, we propose a compact and efficient KEM based on the NTRU lattice, called CTRU, by introducing a scalable ciphertext compression technique. It demonstrates a new approach to decrypting NTRU ciphertext, where the plaintext message is recovered with the aid of our decoding algorithm in the scalable $\text{E}_8$ lattice (instead of eliminating the extra terms modulo $p$ in traditional NTRU-based KEM schemes). The instantiation of CTRU is over the NTT-friendly rings of the form $\mathbb{Z}_q[x]/(x^{n}-x^{n/2}+1)$. We remark that the scalable ciphertext compression technique can also be applied to NTRU-based KEM schemes over other polynomial rings. In order to deal with the inconvenient issue that various NTT algorithms are needed for different $n$'s, we present a unified NTT methodology over $\mathbb{Z}_q[x]/(x^n-x^{n/2}+1)$, $n\in \{512,768,1024\}$, such that only one type of NTT computation is required for different $n$'s, which might be of independent interest. To our knowledge, our CTRU is the most bandwidth efficient KEM based on the NTRU lattice up to now. In addition, roughly speaking, compared to other NTRU-based KEM schemes, CTRU has stronger security against known attacks, enjoys more robust CCA security reduction (starting from IND-CPA rather than OW-CPA), and its encapsulation and decapsulation processes are also among the most efficient. For example, when compared to the NIST Round 3 finalist NTRU-HRSS, our CTRU-768 has $15\%$ smaller ciphertext size and its security is strengthened by $(45,40)$ bits for classical and quantum security respectively. When compared to the NIST Round 3 finalist Kyber that is based on the Module-LWE (MLWE) assumption, CTRU has both smaller bandwidth and lower error probabilities at about the same security level.
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Alexandre Adomnicai, Kazuhiko Minematsu, Maki Shigeri
ePrint Report ePrint Report
This paper reports new software implementation results for the Skinny-128 tweakable block ciphers on various SIMD architectures. More precisely, we introduce a decomposition of the 8-bit S-box into four 4-bit S-boxes in order to take advantage of vector permute instructions, leading to significant performance improvements over previous constant-time implementations. Since our approach is of particular interest when Skinny-128 is used in sequential modes of operation, we also report how it benefits to the Romulus authenticated encryption scheme, a finalist of the NIST LWC standardization process.
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Xuting Zhou, Tianshuo Cong
ePrint Report ePrint Report
Maximum Distance Separable (MDS) matrices are usually used to be diffusion layers in cryptographic designs. The main advantage of involutory MDS matrices lies in that both encryption and decryption share the same matrix-vector product. In this paper, we present a new type of MDS matrices called generalized-involutory MDS matrices, implementation of whose inverse matrix-vector products in decryption is the combination of the matrix-vector products in encryption plus a few extra XOR gates. For the purpose of verifying the existence of such matrices, we found 4 × 4 Hadamard generalized-involutory MDS matrix over GF(24) consuming as little as 38 XOR gates with 4 additional XOR gates for inverse matrix, while the best previous single-clock implementation in IWSEC 2019 needs 46 XOR gates with 51 XOR gates for inverse matrix. For GF(28), our results also beat the best previous records in ToSC 2017.
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Akira Ito, Rei Ueno, Naofumi Homma
ePrint Report ePrint Report
This study derives information-theoretical bounds of the success rate (SR) of side-channel attacks on masked implementations. We first develop a communication channel model representing side-channel attacks on masked implementations. We then derive two SR bounds based on the conditional probability distribution and mutual information of shares. The basic idea is to evaluate the upper-bound of the mutual information between the non-masked secret value and the side-channel trace by the conditional probability distribution of shares given its leakage, with a help of the Walsh–Hadamard transform. With the derived theorems, we also prove that the security of masking schemes: the SR decreases exponentially with an increase in the number of masking shares, under a much more relaxed condition compared with the previous proof. To validate and utilize our theorems in practice, we propose a deep-learning-based profiling method for estimating the conditional probability distribution of shares to estimate the SR bound and the number of traces required for attacking a given device.We experimentally confirm that our bounds are much tighter than the conventional bounds on masked implementations, which validates the relevance of our theorems to practice.
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Charles Gouert, Rishi Khan, Nektarios Georgios Tsoutsos
ePrint Report ePrint Report
Homomorphic encryption is a powerful privacy-preserving technology that is notoriously difficult to configure, even for experts. In this article, we outline methodologies for determining optimal cryptographic parameters for any arbitrary application. We provide guidelines for both leveled and fully homomorphic encryption, and demonstrate the presented strategies with the BGV cryptosystem.
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Gowri R Chandran, Carmit Hazay, Robin Hundt, Thomas Schneider
ePrint Report ePrint Report
With the large amount of data generated nowadays, analysis of this data has become eminent. Since a vast amount of this data is private, it is also important that the analysis is done in a secure manner. Comparison-based functions are commonly used in data analysis. These functions use the comparison operation as the basis. Secure computation of such functions have been discussed for median by Aggarwal et al. (EUROCRYPT'04) and for convex hull by Shelat and Venkitasubramaniam (ASIACRYPT'15).

In this paper, we present a generic protocol for the secure computation of comparison-based functions. In order to scale to a large number of participants, we propose this protocol in a star topology with an aim to reduce the communication complexity. We also present a protocol for one specific comparison-based function, the $k^{th}$ ranked element. The construction of one of our protocols leaks some intermediate values but does not reveal information about an individual party's inputs. We demonstrate that our protocol offers better performance than the protocol for $k^{th}$ ranked element by Tueno et. al. (FC'20) by providing an implementation.
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Tyler Beauregard, Janabel Xia, Mike Rosulek
ePrint Report ePrint Report
Private set intersection (PSI) allows two parties, who each hold a set of items, to learn which items they have in common, without revealing anything about their other items. Some applications of PSI would be better served by revealing only one common item, rather than the entire set of all common items. In this work we develop special-purpose protocols for privately finding one common item (FOCI) from the intersection of two sets. The protocols differ in how that item is chosen --- e.g., uniformly at random from the intersection; the ``best'' item in the intersection according to one party's ranking; or the ``best'' item in the intersection according to the sum of both party's scores.
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Ilia Iliashenko, Malika Izabachène, Axel Mertens, Hilder V. L. Pereira.
ePrint Report ePrint Report
We propose homomorphic algorithms for privacy-preserving applications where we are given an encrypted dataset and we want to compute the number of elements that share a common property. We consider a two-party scenario between a client and a server, where the storage and computation is outsourced to the server. We present two new efficient methods to solve this problem by homomorphically evaluating a selection function encoding the desired property, and counting the number of elements which evaluates to the same value. Our first method programs the homomorphic computation in the style of the functional bootstrapping of TFHE and can be instantiated with essentially any homomorphic encryption scheme that operates on polynomials, like FV or BGV. Our second method relies on new homomorphic operations and ciphertext formats, and it is more suitable for applications where the number of possible inputs is much larger than the number of possible values for the property. We illustrate the feasibility of our methods by presenting a publicly available proof-of-concept implementation in C++ and using it to evaluate a heatmap function over encrypted geographic points.
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Boris Ryabko
ePrint Report ePrint Report
In 2002, Russell and Wang proposed a definition of entropic security, which was developed within the framework of secret-key cryptography. An entropically secure system is unconditionally secure, that is, unbreakable regardless of the adversary’s computing power. The notion of an entropically secure symmetric encryption scheme is important for cryptography because one can construct entropically secure symmetric encryption schemes with keys much shorter than the length of the input, thus circumventing Shannon’s famous lower bound on key length. In this report we suggest an entropically secure scheme for the case where the encrypted message is generated by a Markov chain with unknown statistics. The length of the required secret key is proportional to the logarithm of the message length (as opposed to the length of the message itself for the one-time pad).

keywords: Information Theory, entropy security, indistinguishability, symmetric encryption scheme, unconditionally secure, Markov chain, unknown statistics.
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Onur Gunlu, Rafael F. Schaefer, Holger Boche, H. Vincent Poor
ePrint Report ePrint Report
The problem of secure source coding with multiple terminals is extended by considering a remote source whose noisy measurements are the correlated random variables used for secure source reconstruction. The main additions to the problem include 1) all terminals noncausally observe a noisy measurement of the remote source; 2) a private key is available to all legitimate terminals; 3) public communication link between the encoder and decoder is rate-limited; 4) secrecy leakage to the eavesdropper is measured with respect to the encoder input, whereas privacy leakage is measured with respect to the remote source. Exact rate regions are characterized for a lossy source coding problem with a private key, remote source, and decoder side information under security, privacy, communication, and distortion constraints. By replacing the distortion constraint with a reliability constraint, we obtain the exact rate region also for the lossless case. Furthermore, the lossy rate region for scalar discrete-time Gaussian sources and channels is established.
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Marloes Venema, Greg Alpár
ePrint Report ePrint Report
Ciphertext-policy attribute-based encryption (CP-ABE) has attracted much interest from the practical community to enforce access control in distributed settings such as the Internet of Things (IoT). In such settings, encryption devices are often constrained, having small memories and little computational power, and the associated networks are lossy. To optimize both the ciphertext sizes and the encryption speed is therefore paramount. In addition, the master public key needs to be small enough to fit in the encryption device's memory. At the same time, the scheme needs to be expressive enough to support common access control models. Currently, however, the state of the art incurs undesirable efficiency trade-offs. Existing schemes often have linear ciphertexts, and consequently, the ciphertexts may be too large and encryption may be too slow. In contrast, schemes with small ciphertexts have extremely large master public keys, and are generally computationally inefficient.

In this work, we propose TinyABE: a novel CP-ABE scheme that is expressive and can be configured to be efficient enough for settings with embedded devices and low-quality networks. In particular, we demonstrate that our scheme can be configured such that the ciphertexts are small, encryption is fast and the master public key is small enough to fit in memory. From a theoretical standpoint, the new scheme and its security proof are non-trivial generalizations of the expressive scheme with constant-size ciphertexts by Agrawal and Chase (TCC'16, Eurocrypt'17) and its proof to the unbounded setting. By using techniques of Rouselakis and Waters (CCS'13), we remove the restrictions that the Agrawal-Chase scheme imposes on the keys and ciphertexts, making it thus more flexible. In this way, TinyABE is especially suitable for IoT.
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Virtual event, Anywhere on Earth, 10 October - 12 October 2022
Event Calendar Event Calendar
Event date: 10 October to 12 October 2022
Submission deadline: 1 June 2022
Notification: 20 July 2022
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Virtual event, Anywhere on Earth, 29 October - 30 October 2022
Event Calendar Event Calendar
Event date: 29 October to 30 October 2022
Submission deadline: 20 June 2022
Notification: 30 August 2022
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Seoul, South Korea, 30 November - 2 December 2022
Event Calendar Event Calendar
Event date: 30 November to 2 December 2022
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Copenhagen, Denmark, 29 September - 30 September 2022
Event Calendar Event Calendar
Event date: 29 September to 30 September 2022
Submission deadline: 15 July 2022
Notification: 25 August 2022
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11 May 2022

University of Applied Sciences Würzburg-Schweinfurt
Job Posting Job Posting

English - Announcement: https://www.fhws.de/forschung/institute/idee/center/cairo/karriere/

(on the main page at the bottom - W2 Professorship in Mathematical Foundations of Trustful Learning)

Key topics:

  • interpretable and explainable AI
  • adversarial attacks
  • differential privacy
  • homomorphic encryption
  • privacy preserving learning
  • model uncertainty (prediction calibration, conformal prediction)
  • fairness and algorithmic bias

    German - Announcement: https://stellen.fhws.de/jobposting/4a106eca93f4beee3be7c5c127aa6064c679fbc20?ref=homepage

    (Please apply via the provided link to our online application system)

    The positions are research professorships

    (German W2 level, well paid and tenured life long positions) and will establish a center for AI (CAIRO) in Wuerzburg

  • do research & attract projects
  • have some minimal administrative duties
  • have only 9 x 45 min teaching duties per week (9 SWS) during the terms
  • will be involved in the new created MSc program on Artificial Intelligence (MAI)

    Additional funding to establish a group is also available.

    This is an exciting moment and chance.

    The positions are located here in Wuerzburg and the teaching will be (so far) in English only (it may be necessary to learn some German in the first two years).

    To be eligible it is mandatory to have 5 years working experience after MSc including at least 3 years of industrial experience (can be spread and industry related research (institutes) also count).

    Closing date for applications:

    Contact:

    Prof. Dr. Frank-Michael Schleif

    frank-michael.schleif@fhws.de

    More information: https://www.fhws.de/forschung/institute/idee/center/cairo/karriere/

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