International Association for Cryptologic Research

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for Cryptologic Research

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02 December 2024

Asmita Adhikary, Giacomo Tommaso Petrucci, Philippe Tanguy, Vianney Lapôtre, Ileana Buhan
ePrint Report ePrint Report
Identifying and mitigating vulnerable locations to fault injections requires significant expertise and expensive equipment. Fault injections can damage hardware, cause software crashes, and pose safety and security hazards. Simulating fault injections offers a safer alternative, and fault simulators have steadily developed, though they vary significantly in functionality, target applications, fault injection methods, supported fault models, and guarantees. We present a taxonomy categorizing fault simulators based on their target applications and development cycle stages, from source code to final product. Our taxonomy provides insights and comparisons to highlight open problems.
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Kyeongtae Lee, Seongho Park, Byeongjun Jang, Jihye Kim, Hyunok Oh
ePrint Report ePrint Report
In this paper, we propose $\textsf{LiLAC}$, a novel field-agnostic, transparent multilinear polynomial commitment scheme (MLPCS) designed to address key challenges in polynomial commitment systems. For a polynomial with $N$ coefficients, $\textsf{LiLAC}$ achieves $\mathcal{O}(N)$ prover time, $\mathcal{O}(\log N)$ verifier time, and $\mathcal{O}(\log N)$ proof size, overcoming the limitations of $\mathcal{O}(\log^2 N)$ verification time and proof size without any increase in other costs. This is achieved through an optimized polynomial commitment strategy and the recursive application of the tensor IOPP, making $\textsf{LiLAC}$ both theoretically optimal and practical for large-scale applications. Furthermore, $\textsf{LiLAC}$ offers post-quantum security, providing robust protection against future quantum computing threats.

We propose two constructions of $\textsf{LiLAC}$: a field-agnostic $\textsf{LiLAC}$ and a field-specific $\textsf{LiLAC}$. Each construction demonstrates superior performance compared to the state-of-the-art techniques in their respective categories of MLPCS. First, the field-agnostic $\textsf{LiLAC}$ is compared against Brakedown (CRYPTO 2023), which is based on a tensor IOP and satisfies field-agnosticity. In experiments conducted over a 128-bit field with a coefficient size of $2^{30}$, the field-agnostic $\textsf{LiLAC}$ achieves a proof size that is $3.7\times$ smaller and a verification speed that is $2.2\times$ faster, while maintaining a similar proof generation time compared to Brakedown. Furthermore, the field-specific $\textsf{LiLAC}$ is evaluated against WHIR (ePrint 2024/1586), which is based on an FRI. With a 128-bit field and a coefficient size of $2^{30}$, the field-specific $\textsf{LiLAC}$ achieves a proof generation speed that is $2.8\times$ faster, a proof size that is $27\%$ smaller, and a verification speed that is $14\%$ faster compared to WHIR.
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Mojtaba Fadavi, Sabyasachi Karati, Aylar Erfanian, Reihaneh Safavi-Naini
ePrint Report ePrint Report
A group signatures allows a user to sign a message anonymously on behalf of a group and provides accountability by using an opening authority who can ``open'' a signature and reveal the signer's identity. Group signatures have been widely used in privacy-preserving applications including anonymous attestation and anonymous authentication. Fully dynamic group signatures allow new members to join the group and existing members to be revoked if needed. Symmetric-key based group signature schemes are post-quantum group signatures whose security rely on the security of symmetric-key primitives such as cryptographic hash functions and pseudorandom functions.

In this paper, we design a symmetric-key based fully dynamic group signature scheme, called DGMT, that redesigns DGM (Buser et al. ESORICS 2019) and removes its two important shortcomings that limit its application in practice: (i) interaction with the group manager for signature verification, and (ii) the need for storing and managing an unacceptably large amount of data by the group manager. We prove security of DGMT (unforgeability, anonymity, and traceability) and give a full implementation of the system. Compared to all known post-quantum group signature schemes with the same security level, DGMT has the shortest signature size. We also analyze DGM signature revocation approach and show that despite its conceptual novelty, it has significant hidden costs that makes it much more costly than using traditional revocation list approach.
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Nikita Snetkov, Jelizaveta Vakarjuk, Peeter Laud
ePrint Report ePrint Report
Smart-ID is an application for signing and authentication provided as a service to residents of Belgium, Estonia, Latvia and Lithuania. Its security relies on multi-prime server-supported RSA, password-authenticated key shares and clone detection mechanism. Unfortunately, the security properties of the underlying protocol have been specified only in ``game-based'' manner. There is no corresponding ideal functionality that the actual protocol is shown to securely realize in the universal composability (UC) framework. In this paper, we remedy that shortcoming, presenting the functionality (optionally parameterized with a non-threshold signature scheme) and prove that the existing Smart-ID protocol securely realizes it. Additionally, we present a server-supported protocol for generating ECDSA signatures and show that it also securely realizes the proposed ideal functionality in the Global Random Oracle Model (UC+GROM).
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Seyed MohammadReza Hosseini, Hossein Pilaram
ePrint Report ePrint Report
One of the most crucial measures to maintain data security is the use of cryptography schemes and digital signatures built upon cryptographic algorithms. The resistance of cryptographic algorithms against conventional attacks is guaranteed by the computational difficulties and the immense amount of computation required to them. In the last decade, with the advances in quantum computing technology and the realization of quantum computers, which have higher computational power compared to conventional computers and can execute special kinds of algorithms (i.e., quantum algorithms), the security of many existing cryptographic algorithms has been questioned. The reason is that by using quantum computers and executing specific quantum algorithms through them, the computational difficulties of conventional cryptographic algorithms can be reduced, which makes it possible to overcome and break them in a relatively short period of time. Therefore, researchers began efforts to find new quantum-resistant cryptographic algorithms that would be impossible to break, even using quantum computers, in a short time. Such algorithms are called post-quantum cryptographic algorithms. In this article, we provide a comprehensive review of the challenges and vulnerabilities of different kinds of conventional cryptographic algorithms against quantum computers. Afterward, we review the latest cryptographic algorithms and standards that have been proposed to confront the threats posed by quantum computers. We present the classification of post-quantum cryptographic algorithms and digital signatures based on their technical specifications, provide examples of each category, and outline the strengths and weaknesses of each category.
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Asier Gambra, Durba Chatterjee, Unai Rioja, Igor Armendariz, Lejla Batina
ePrint Report ePrint Report
Voltage fault injection attacks are a particularly powerful threat to secure embedded devices because they exploit brief, hard-to-detect power fluctuations causing errors or bypassing security mechanisms. To counter these attacks, various detectors are employed, but as defenses strengthen, increasingly elusive glitches continue to emerge. Artificial intelligence, with its inherent ability to learn and adapt to complex patterns, presents a promising solution. This research presents an AI-driven voltage fault injection detector that analyzes clock signals directly. We provide a detailed fault characterization of the STM32F410 microcontroller, emphasizing the impact of faults on the clock signal. Our findings reveal how power supply glitches directly impact the clock, correlating closely with the amount of power injected. This led to developing a lightweight Multi-Layer Perceptron model that analyzes clock traces to distinguish between safe executions, glitches that keep the device running but may introduce faults, and glitches that cause the target to reset. While previous fault injection AI applications have primarily focused on parameter optimization and simulation assistance, in this work we use the adaptability of machine learning to create a fault detection model that is specifically adjusted to the hardware that implements it. The developed glitch detector has a high accuracy showing this a promising direction to combat FI attacks on a variety of platform.
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Nicholas Brandt, Mia Filić, Sam A. Markelon
ePrint Report ePrint Report
Key Transparency (KT) systems have emerged as a critical technology for securely distributing and verifying the correctness of public keys used in end-to-end encrypted messaging services. Despite substantial academic interest, increased industry adoption, and IETF standardization efforts, KT systems lack a holistic and formalized security model, limiting their resilience to practical threats and constraining future development. In this paper, we introduce the first cryptographically sound formalization of KT as an ideal functionality, clarifying the assumptions, security properties, and potential vulnerabilities of deployed KT systems. We identify a significant security concern — a possible impersonation attack by a malicious service provider — and propose a backward-compatible solution. Additionally, we address a core scalability bottleneck by designing and implementing a novel, privacy-preserving verifiable Bloom filter (VBF) that significantly improves KT efficiency without compromising security. Experimental results demonstrate the effectiveness of our approach, marking a step forward in both the theoretical and practical deployment of scalable KT solutions.
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Yackolley Amoussou-Guenou, Maurice Herlihy, Maria Potop Butucaru
ePrint Report ePrint Report
The paper promotes a new design paradigm for Byzantine tolerant distributed algorithms using trusted abstractions (oracles) specified in a functional manner. The contribution of the paper is conceptual. The objective here is to design distributed fundamental algorithms such as reliable broadcast and asynchronous byzantine consensus using trusted execution environments and to help designers to compare various solutions on a common ground. In this framework we revisit the Bracha's seminal work on Asynchronous Byzantine Consensus. Our solution uses trusted monotonic counters abstraction and tolerates $t$ Byzantine processes in a system with $n$ processes, $n \geq 2t+1$. The keystone of our construction is a novel and elegant Byzantine Reliable Broadcast algorithm resilient to $t
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Jiacheng Gao, Yuan Zhang, Sheng Zhong
ePrint Report ePrint Report
Shuffle is a frequently used operation in secure multiparty computations, with various applications, including joint data analysis and anonymous communication systems. Most existing MPC shuffle protocols are constructed from MPC permutation protocols, which allows a party to securely apply its private permutation to an array of $m$ numbers shared among all $n$ parties. Following a ``permute-in-turn'' paradigm, these protocols result in $\Omega(n^2m)$ complexity in the semi-honest setting. Recent works have significantly improved efficiency and security by adopting a two-phase solution. Specifically, Eskandarian and Boneh demonstrate how to construct MPC shuffle protocols with linear complexity in both semi-honest and malicious adversary settings. However, a more recent study by Song et al. reveals that Eskandarian and Boneh's protocol fails to achieve malicious security. Consequently, designing an MPC shuffle protocol with linear complexity and malicious security remains an open question. In this paper, we address this question by presenting the first general construction of MPC shuffle protocol that is maliciously secure and has linear online communication and computation complexity, utilizing black-box access to secure arithmetic MPC primitives and MPC permutation protocol. When instantiating our construction with the SPDZ framework and the best existing malicious secure MPC shuffle, our construction only slightly increases the offline overhead compared to the semi-honest secure version, and thus achieve a linear online phase almost for free. As our constructions requires only black-box access to basic secure MPC primitives and permutation protocols, they are compatible with and can be integrated to most modern MPC frameworks. We provide formal security proofs for both semi-honest and malicious settings, demonstrating that our maliciously secure construction can achieve universally composable security. Experimental results indicate that our construction significantly enhances online performance while maintaining a moderate increase in offline overhead. Given that shuffle is a frequently used primitive in secure multiparty computation, we anticipate that our construction will accelerate many real-world MPC applications.
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Sofiane Azogagh, Zelma Aubin Birba, Marc-Olivier Killijian, Félix Larose-Gervais
ePrint Report ePrint Report
In this paper we present RevoLUT, a library implemented in Rust that reimagines the use of Look-Up-Tables (LUT) beyond their conventional role in function encoding, as commonly used in TFHE's programmable boostrapping. Instead, RevoLUT leverages LUTs as first class objects, enabling efficient oblivious operations such as array access, elements sorting and permutation directly within the table. This approach supports oblivious algortithm, providing a secure, privacy-preserving solution for handling sensitive data in various applications.
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29 November 2024

Aparna Gupte, Jiahui Liu, Justin Raizes, Bhaskar Roberts, Vinod Vaikuntanathan
ePrint Report ePrint Report
One-time programs (Goldwasser, Kalai and Rothblum, CRYPTO 2008) are functions that can be run on any single input of a user's choice, but not on a second input. Classically, they are unachievable without trusted hardware, but the destructive nature of quantum measurements seems to provide a quantum path to constructing them. Unfortunately, Broadbent, Gutoski and Stebila showed that even with quantum techniques, a strong notion of one-time programs, similar to ideal obfuscation, cannot be achieved for any non-trivial quantum function. On the positive side, Ben-David and Sattath (Quantum, 2023) showed how to construct a one-time program for a certain (probabilistic) digital signature scheme, under a weaker notion of one-time program security. There is a vast gap between achievable and provably impossible notions of one-time program security, and it is unclear what functionalities are one-time programmable under the achievable notions of security.

In this work, we present new, meaningful, yet achievable definitions of one-time program security for *probabilistic* classical functions. We show how to construct one time programs satisfying these definitions for all functions in the classical oracle model and for constrained pseudorandom functions in the plain model. Finally, we examine the limits of these notions: we show a class of functions which cannot be one-time programmed in the plain model, as well as a class of functions which appears to be highly random given a single query, but whose one-time program form leaks the entire function even in the oracle model.
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George Teseleanu
ePrint Report ePrint Report
In this paper, we present a generalization of Schnorr's digital signature that allows a user to simultaneously sign multiple messages. Compared to Schnorr's scheme that concatenates messages and then signs them, the new protocol takes advantage of multiple threads to process messages in parallel. We prove the security of our novel protocol and discuss different variants of it. Last but not least, we extend Ferradi et al.'s co-signature protocol by exploiting the inherent parallelism of our proposed signature scheme.
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Yanyi Liu, Noam Mazor, Rafael Pass
ePrint Report ePrint Report
Witness encryption (WE) (Garg et al, STOC’13) is a powerful cryptographic primitive that is closely related to the notion of indistinguishability obfuscation (Barak et, JACM’12, Garg et al, FOCS’13). For a given NP-language $L$, WE for $L$ enables encrypting a message $m$ using an instance $x$ as the public-key, while ensuring that efficient decryption is possible by anyone possessing a witness for $x \in L$, and if $x\notin L$, then the encryption is hiding. We show that this seemingly sophisticated primitive is equivalent to a communication-efficient version of one of the most classic cryptographic primitives—namely that of a zero-knowledge argument (Goldwasser et al, SIAM’89, Brassard et al, JCSS’88): for any NP-language $L$, the following are equivalent: - There exists a witness encryption for L; - There exists a laconic (i.e., the prover communication is bounded by $O(\log n)$) special-honest verifier zero-knowledge (SHVZK) argument for $L$. Our approach is inspired by an elegant (one-sided) connection between (laconic) zero-knowledge arguments and public-key encryption established by Berman et al (CRYPTO’17) and Cramer-Shoup (EuroCrypt’02).
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Yanyi Liu, Noam Mazor, Rafael Pass
ePrint Report ePrint Report
We consider a generalization of the Learning With Error problem, referred to as the white-box learning problem: You are given the code of a sampler that with high probability produces samples of the form $y,f(y)+\epsilon$ where is small, and $f$ is computable in polynomial-size, and the computational task consist of outputting a polynomial-size circuit $C$ that with probability, say, $1/3$ over a new sample $y$? according to the same distributions, approximates $f(y)$ (i.e., $|C(y)-f(y)$ is small). This problem can be thought of as a generalizing of the Learning with Error Problem (LWE) from linear functions $f$ to polynomial-size computable functions.

We demonstrate that worst-case hardness of the white-box learning problem, conditioned on the instances satisfying a notion of computational shallowness (a concept from the study of Kolmogorov complexity) not only suffices to get public-key encryption, but is also necessary; as such, this yields the first problem whose worst-case hardness characterizes the existence of public-key encryption. Additionally, our results highlights to what extent LWE “overshoots” the task of public-key encryption.

We complement these results by noting that worst-case hardness of the same problem, but restricting the learner to only get black-box access to the sampler, characterizes one-way functions.
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Javier Gomez-Martinez, Dimitrios Vasilopoulos, Pedro Moreno-Sanchez, Dario Fiore
ePrint Report ePrint Report
In this work, we introduce Modular Algebraic Proof Contingent Payment (MAPCP), a novel zero-knowledge contingent payment (ZKCP) construction. Unlike previous approaches, MAPCP is the first that simultaneously avoids using zk-SNARKs as the tool for zero-knowledge proofs and HTLC contracts to atomically exchange a secret for a payment. As a result, MAPCP sidesteps the common reference string (crs) creation problem and is compatible with virtually any cryptocurrency, even those with limited or no smart contract support. Moreover, MAPCP contributes to fungibility, as its payment transactions blend seamlessly with standard cryptocurrency payments. We analyze the security of MAPCP and demonstrate its atomicity, meaning that, (i) the buyer gets the digital product after the payment is published in the blockchain (buyer security); and (ii) the seller receives the payment if the buyer gets access to the digital product (seller security). Moreover, we present a construction of MAPCP in a use case where a customer pays a notary in exchange for a document signature.
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Puja Mondal, Suparna Kundu, Supriya Adhikary, Angshuman Karmakar
ePrint Report ePrint Report
CROSS is a code-based post-quantum digital signature scheme based on a zero-knowledge (ZK) framework. It is a second-round candidate of the National Institute of Standards and Technology’s additional call for standardizing post-quantum digital signatures. The memory footprint of this scheme is prohibitively large, especially for small embedded devices. In this work, we propose various techniques to reduce the memory footprint of the key generation, signature generation, and verification by as much as 50%, 52%, and 74%, respectively, on an ARM Cortex-M4 device. Moreover, our memory-optimized implementations adapt the countermeasure against the recently proposed (ASIACRYPT-24) fault attacks against the ZK-based signature schemes.
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Akiko Inoue, Ashwin Jha, Bart Mennink, Kazuhiko Minematsu
ePrint Report ePrint Report
Authenticated encryption schemes guarantee that parties who share a secret key can communicate confidentially and authentically. One of the most popular and widely used authenticated encryption schemes is GCM by McGrew and Viega (INDOCRYPT 2004). However, despite its simplicity and efficiency, GCM also comes with its deficiencies, most notably devastating insecurity against nonce-misuse and imperfect security for short tags. Very recently, Campagna, Maximov, and Mattsson presented GCM-SST (IETF Internet draft 2024), a variant of GCM that uses a slightly more involved universal hash function composition, and claimed that this construction achieves stronger security in case of tag truncation. GCM-SST already received various interest from industries (e.g., Amazon and Ericsson) and international organizations (e.g., IETF and 3GPP) but it has not received any generic security analysis to date. In this work, we fill this gap and perform a detailed security analysis of GCM-SST. In particular, we prove that GCM-SST achieves security in the nonce-misuse resilience model of Ashur et al.~(CRYPTO 2017), roughly guaranteeing that even if nonces are reused, evaluations of GCM-SST for new nonces are secure. Our security bound also verified the designers' (informal) claim on tag truncation. Additionally, we investigate and describe possibilities to optimize the hashing in GCM-SST further, and we describe a universal forgery attack in a complexity of around $2^{33.6}$, improving over an earlier attack of $2^{40}$ complexity of Lindell, when the tag is 32 bits.
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Anup Kumar Kundu, Shibam Ghosh, Aikata Aikata, Dhiman Saha
ePrint Report ePrint Report
In this work, we introduce ToFA, the first fault attack (FA) strategy that attempts to leverage the classically well-known idea of impossible differential cryptanalysis to mount practically verifiable attacks on bit-oriented ciphers like GIFT and BAKSHEESH. The idea used stems from the fact that truncated differential paths induced due to fault injection in certain intermediate rounds of the ciphers lead to active SBox-es in subsequent rounds whose inputs admit specific truncated differences. This leads to a (multi-round) impossible differential distinguisher, which can be incrementally leveraged for key-guess elimination via partial decryption. The key-space reduction further exploits the multi-round impossibility, capitalizing on the relations due to the quotient-remainder (QR) groups of the GIFT and BAKSHEESH linear layer, which increases the filtering capability of the distinguisher. Moreover, the primary observations made in this work are independent of the actual SBox. Clock glitch based fault attacks were mounted on 8-bit implementations of GIFT-64/GIFT-128 using a ChipWhisperer Lite board on an 8-bit ATXmega128D4-AU micro-controller. Unique key recovery was achieved for GIFT-128 with 3 random byte faults, while for GIFT-64, key space was reduced to $2^{32}$, the highest achievable for GIFT-64, with a single level fault due to its key-schedule. This work also reports the highest fault injection penetration for any variant of GIFT and BAKSHEESH. Finally, this work reiterates the role of classical cryptanalysis strategies in fault vulnerability assessment while leading to the most efficient fault attacks on GIFT.
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Shengyuan Xu, Siwei Chen, Xiutao Feng, Zejun Xiang, Xiangyong Zeng
ePrint Report ePrint Report
BAKSHEESH is a lightweight block cipher following up the well-known cipher GIFT-128, which uses a 4-bit SBox that has a non-trivial Linear Structure (LS). Also, the Sbox requires a low number of AND gates that makes BAKSHEESH stronger to resist the side channel attacks compared to GIFT-128. In this paper, we give the first third-party security analysis of BAKSHEESH from the traditional attacks perspective: integral, differential and linear attacks. Firstly, we propose a framework for integral attacks based on the properties of BAKSHEESH's Sbox and its inverse. By this, we achieve the 9- and 10-round practical key-recovery attacks, and give a 15-round theoretical attack. Secondly, we re-evaluate the security bound against differential cryptanalysis, correcting two errors from the original paper and presenting a key-recovery attack for 19 rounds. At last, for linear cryptanalysis, we develop an automated model for key-recovery attacks and then demonstrate a key-recovery attack for 21 rounds. We stress that our attacks cannot threaten the full-round BAKSHEESH, but give a deep understanding on its security.
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Simon Judd
ePrint Report ePrint Report
We present EndGame, a novel blockchain architecture that achieves succinctness through Reed-Solomon accumulation schemes. Our construction enables constant-time verification of blockchain state while maintaining strong security properties. We demonstrate how to efficiently encode blockchain state transitions using Reed-Solomon codes and accumulate proofs of state validity using the ARC framework. Our protocol achieves optimal light client verification costs and supports efficient state management without trusted setup.
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