International Association for Cryptologic Research

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for Cryptologic Research

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28 April 2025

Ruihao Dai, Jiankuo Dong, Mingrui Qiu, Zhenjiang Dong, Fu Xiao, Jingqiang Lin
ePrint Report ePrint Report
Quantum computers leverage qubits to solve certain computational problems significantly faster than classical computers. This capability poses a severe threat to traditional cryptographic algorithms, leading to the rise of post-quantum cryptography (PQC) designed to withstand quantum attacks. FALCON, a lattice-based signature algorithm, has been selected by the National Institute of Standards and Technology (NIST) as part of its post-quantum cryptography standardization process. However, due to the computational complexity of PQC, especially in cloud-based environments, throughput limitations during peak demand periods have become a bottleneck, particularly for FALCON. In this paper, we introduce GOLF (GPU-accelerated Optimization for Lattice-based FALCON), a novel GPU-based parallel acceleration framework for FALCON. GOLF includes algorithm porting to the GPU, compatibility modifications, multi-threaded parallelism with distinct data, single-thread optimization for single tasks, and specific enhancements to the Fast Fourier Transform (FFT) module within FALCON. Our approach achieves unprecedented performance in FALCON acceleration on GPUs. On the NVIDIA RTX 4090, GOLF reaches a signature generation throughput of 42.02 kops/s and a signature verification throughput of 10,311.04 kops/s. These results represent a 58.05$\times$ / 73.14$\times$ improvement over the reference FALCON implementation and a 7.17$\times$ / 3.79$\times$ improvement compared to the fastest known GPU implementation to date. GOLF demonstrates that GPU acceleration is not only feasible for post-quantum cryptography but also crucial for addressing throughput bottlenecks in real-world applications.
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Wen Wu, Jiankuo Dong, Zhen Xu, Zhenjiang Dong, Dung Duong, Fu Xiao, Jingqiang Lin
ePrint Report ePrint Report
The Classic McEliece key encapsulation mechanism (KEM), a candidate in the fourth-round post-quantum cryptography (PQC) standardization process by the National Institute of Standards and Technology (NIST), stands out for its conservative design and robust security guarantees. Leveraging the code-based Niederreiter cryptosystem, Classic McEliece delivers high-performance encapsulation and decapsulation, making it well-suited for various applications. However, there has not been a systematic implementation of Classic McEliece on GPU platforms. This paper presents the first high-performance implementation of Classic McEliece on NVIDIA GPUs. Firstly, we present the first GPU-based implementation of Classic McEliece, utilizing a ``CPU-GPU'' heterogeneous approach and a kernel fusion strategy. We significantly reduce global memory accesses, optimizing memory access patterns. This results in encapsulation and decapsulation performance of 28,628,195 ops/s and 3,051,701 ops/s, respectively, for McEliece348864. Secondly, core operations like Additive Fast Fourier Transforms (AFFT), and Transpose AFFT (TAFFT) are optimized. We introduce the concept of the (T)AFFT stepping chain and propose two universal schemes: Memory Access Stepping Strategy (MASS) and Layer-Fused Memory Access Stepping Strategy (LFMASS), which achieve a speedup of 30.56% and 38.37%, respectively, compared to the native GPU-based McEliece6960119 implementation. Thirdly, extensive experiments on the NVIDIA RTX4090 show significant performance gains, achieving up to 344$\times$ higher encapsulation and 125$\times$ higher decapsulation compared to the official CPU-based AVX implementation, decisively outperforming existing ARM Cortex-M4 and FPGA implementations.
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Obrochishte, Bulgaria, 1 June - 16 June 2025
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Event date: 1 June to 16 June 2025
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Indian Institute Of Technology Indore, India, 16 December - 20 December 2025
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Event date: 16 December to 20 December 2025
Submission deadline: 10 July 2025
Notification: 30 September 2025
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Hanoi, Vietnam, 26 August 2025
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Event date: 26 August 2025
Submission deadline: 25 April 2025
Notification: 17 May 2025
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Eindhoven, Netherlands, 6 June -
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Event date: 6 June to
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27 April 2025

Dmitry Astakhin
ePrint Report ePrint Report
Bitcoin is based on the Blockchain, an open ledger containing information about each transaction in the Bitcoin network. Blockchain serves many purposes, but it allows anyone to track all transactions and activities of each Bitcoin address. The privacy of the network is being threatened by some organizations that track transactions. Tracking and subsequent filtering of coins lead to the loss of exchangeability of Bitcoin.

Despite Bitcoin’s transparency, it is possible to increase user privacy using a variety of existing methods. One of these methods is called CoinJoin, was proposed by Bitcoin developer Greg Maxwell in 2013. This technology involves combining several users transactions to create a single transaction with multiple inputs and outputs, which makes transaction analysis more complicated.

This work describes the CoinMaze, a privacy-focused CoinJoin protocol based on the keyed-verification anonymous credentials (KVAC).
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Alexey S. Zelenetsky, Peter G. Klyucharev
ePrint Report ePrint Report
This work introduces Zemlyanika, a post-quantum IND-CCA secure key encapsulation mechanism based on the Module-LWE problem. The high-level design of Zemlyanika follows a well-known approach where a passively secure public-key encryption scheme is transformed into an actively secure key encapsulation mechanism using the Fujisaki-Okamoto transform.

Our scheme features three main elements: a power-of-two modulus, explicit rejection, and revised requirements for decapsulation error probability.

The choice of a power-of-two modulus is atypical for Module-LWE based schemes due to the unavailability of Number Theoretic Transform (NTT). However, we argue that this option offers advantages that are often underestimated. We employ explicit rejection because it is more efficient than implicit rejection. Recent works show that both types of rejection are equally secure, so we do not reduce the security by this choice. Finally, we present compelling arguments that the probability of decapsulation failure may be higher than commonly accepted. This allows us to increase performance and security against attacks on the Module-LWE.
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Krishnendu Chatterjee, Seth Gilbert, Stefan Schmid, Jakub Svoboda, Michelle Yeo
ePrint Report ePrint Report
Liquid democracy is a transitive vote delegation mechanism over voting graphs. It enables each voter to delegate their vote(s) to another better-informed voter, with the goal of collectively making a better decision. The question of whether liquid democracy outperforms direct voting has been previously studied in the context of local delegation mechanisms (where voters can only delegate to someone in their neighbourhood) and binary decision problems. It has previously been shown that it is impossible for local delegation mechanisms to outperform direct voting in general graphs. This raises the question: for which classes of graphs do local delegation mechanisms yield good results?

In this work, we analyse (1) properties of specific graphs and (2) properties of local delegation mechanisms on these graphs, determining where local delegation actually outperforms direct voting. We show that a critical graph property enabling liquid democracy is that the voting outcome of local delegation mechanisms preserves a sufficient amount of variance, thereby avoiding situations where delegation falls behind direct voting. These insights allow us to prove our main results, namely that there exist local delegation mechanisms that perform no worse and in fact quantitatively better than direct voting in natural graph topologies like complete, random $d$-regular, and bounded degree graphs, lending a more nuanced perspective to previous impossibility results.
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Zhuang Shan, Leyou Zhang, Fuchun Guo, Yong Yu
ePrint Report ePrint Report
We were deeply impressed by the paper by Ateniese et al., published in Crypto 2019. In it, they presented a black-box construction of matchmaking encryption (ME) based on functional encryption. In our work, we propose an ME scheme based on standard assumptions in the standard model. This scheme has been proven to be secure under the learning with error (LWE) assumption. Our ME scheme is achieved through a novel framework of bilateral-policy attribute-based encryption (BP-ABE) and a new intermediate primitive termed a perturbed pseudorandom generator (PPRG), which facilitates the implementation of authentication functionality by replacing non-interactive zero-knowledge proof functionality.

In the scheme presented in this paper, the user's "public key" is generated using Hamming correlation robustness and user attributes. Note that the 'public key' is not public. In order to preserve the privacy of the two parties involved in matchmaking encryption, our BP-ABE scheme does not use the 'public key' directly to encrypt the plaintext. Instead, the message sender selects matching attributes and uses a Hamming correlation robustness and homomorphic pseudorandom function (HPRF) to generate temporary public keys and hide the public key and user attributes.

When these temporary public keys satisfy the access policy, the receiver can decrypt the data using their private key. Regarding the authentication function of matchmaking encryption, this paper proposes a non-interactive privacy set intersection (PSI) scheme based on HPRF and PPRG. The message sender encrypts their 'public key' using the proposed PSI scheme as part of the ciphertext. The receiver also encrypts their 'public key' using the proposed PSI scheme and matches the attributes, thereby completing the message authentication function. We consider our approach to be a significant departure from existing constructions, despite its simplicity.
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Vasyl Ustimenko, Tymoteusz Chojecki
ePrint Report ePrint Report
Let us assume that one of two trusted parties (administrator) manages the information system (IS) and another one (user) is going to use the resources of this IS during the certain time interval. So they need establish secure user’s access password to the IS resources of this system via selected authenticated key exchange protocol. So they need to communicate via insecure communication channel and secretly con-struct a cryptographically strong session key that can serve for the establishment of secure passwords in the form of tuples in certain alphabet during the certain time interval. Nowadays selected protocol has to be postquantum secure. We propose the implementation of this scheme in terms of Symbolic Computa-tions. The key exchange protocol is one of the key exchange algorithms of Noncommutative Cryptography with the platform of multivariate transformation of the affine space over selected finite commutative ring. The session key is a multivariate map on the affine space. Platforms and multivariate maps are construct-ed in terms of Algebraic Graph Theory.
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Stephan Krenn, Thomas Lorünser, Sebastian Ramacher, Federico Valbusa
ePrint Report ePrint Report
As quantum computing matures, its impact on traditional cryptographic protocols becomes increasingly critical, especially for data-at-rest scenarios where large data sets remain encrypted for extended periods of time. This paper addresses the pressing need to transition away from pre-quantum algorithms by presenting an agile cryptosystem that securely and efficiently supports post-quantum Key Encapsulation Mechanisms (KEMs). The proposed solution is based on combining a CCA-secure KEM with a robust Authenticated Encryption scheme, allowing only the dynamic component - the symmetric key encapsulation - to be updated when migrating to new cryptographic algorithms. This approach eliminates the need to re-encrypt potentially massive data payloads, resulting in significant savings in computational overhead and bandwidth. We formalize the concept of cryptoagility through an agile-CCA security model, which requires that neither the original ciphertext nor any updated version reveals meaningful information to an attacker. A game-based proof shows that the overall construction remains agile-CCA secure if the underlying KEM and AE are individually CCA secure under a random oracle assumption. The result is a future-proof scheme that eases the transition to post-quantum standards, enabling enterprises and cloud storage providers to protect large amounts of data with minimal disruption while proactively mitigating emerging quantum threats.
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Weiqing Deng, Jianing Zhang, Haoyang Wang
ePrint Report ePrint Report
Differential meet-in-the-middle (MITM) cryptanalysis, introduced by Boura et al. at CRYPTO 2023, has been demonstrated to be an effective technique for analyzing the security of block ciphers. In this paper, we introduce an improved parallel partitioning technique, and incorporate it into a new framework with a flexible key recovery strategy. This framework is applicable to both SPN and Feistel ciphers. We apply the new framework to SIMON and Piccolo-128 for demonstration. In particular, we also develop an MILP-based tool for searching full attacks on Piccolo-128. For SIMON48/96, we propose the best attack, reaching 26 rounds against 25 rounds previously. For other versions of SIMON, we extend the best previous differential attacks by one or two rounds. In the case of Piccolo-128, while no current differential attacks show promising results, our differential MITM attack reaches 15 rounds, matching the same number of rounds of the best impossible differential attack.
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Xin Wang, Xiao Sui, Sisi Duan
ePrint Report ePrint Report
Sharding is a generic approach to enhance the scalability of distributed systems. In recent years, many efforts have been made to scale the consensus mechanism of blockchains from sharding. A crucial research question is how to achieve the sweet spot of having a relatively small shard size (to achieve decent performance) while achieving an overwhelming probability of correctness (so the system is safe and live). Many recent works fall into the two-layer design that uses some coordinating shards to monitor the correctness of other shards (CCS 2022, NDSS 2024, INFOCOM 2023). All of them involve expensive communication costs between the shards, significantly degrading performance.

We present Otter, a scalable partially synchronous sharding-based Byzantine fault-tolerant atomic broadcast (ABC) protocol. We use coordinating shards in a completely new way. In particular, we randomly sample coordinating shards to directly participate in the consensus protocol. Such a random sampling mechanism makes it possible to analyze the correctness of the ABC protocol using a probabilistic model. In this way, we can significantly lower the shard size (informally, from over 1,200 in previous work to around 100) without lowering the probability of correctness. We also present a new notion called abortable fork detection (AFD) that might be of independent interest. Our evaluation results on Amazon EC2 using up to 1,000 replicas show that Otter achieves up to 4.38x the throughput of the state-of-the-art protocol.
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Toshihiro Suzuki, Hiroki Furue, Takuma Ito, Shuhei Nakamura, Shigenori Uchiyama
ePrint Report ePrint Report
Multivariate public key cryptography (MPKC) is considered a promising candidate for post-quantum cryptography, with its security relying on the hardness of solving systems of multivariate quadratic equations.

Among MPKC schemes, the unbalanced oil and vinegar (UOV) and its variants have been actively studied. Pébereau and Luyten showed that the Kipnis–Shamir attack and the singular point attack can be described within the same framework using the Jacobian matrix.

In this study, we demonstrate that the rectangular MinRank attack can also be described within this framework. Furthermore, by leveraging this framework, we extend the feasible target ranks of the rectangular MinRank attack and use this extended attack to analyze the security of UOV and its variants. In conclusion, we confirm that the currently proposed parameters for UOV, MAYO, QR-UOV, and SNOVA are resistant to this attack.
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Alexandru Cojocaru, Minki Hhan, Qipeng Liu, Takashi Yamakawa, Aaram Yun
ePrint Report ePrint Report
In this work, we derive the first lifting theorems for establishing security in the quantum random permutation and ideal cipher models. These theorems relate the success probability of an arbitrary quantum adversary to that of a classical algorithm making only a small number of classical queries.

By applying these lifting theorems, we improve previous results and obtain new quantum query complexity bounds and post-quantum security results. Notably, we derive tight bounds for the quantum hardness of the double-sided zero search game and establish the post-quantum security for the preimage resistance, one-wayness, and multi-collision resistance of constant-round sponge, as well as the collision resistance of the Davies-Meyer construction.
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Anubhav Baweja, Pratyush Mishra, Tushar Mopuri, Matan Shtepel
ePrint Report ePrint Report
Recent work on IOP-based succinct arguments has focused on developing IOPs that improve prover efficiency by relying on linear-time encodable codes. We present two new schemes for improving the efficiency of such succinct arguments:

$\quad \bullet$ $\mathsf{FICS}$, an IOP of proximity for multilinear polynomial evaluation that, like prior work Blaze [EUROCRYPT 2025] achieves linear prover time, but additionally reduces the verifier oracle query complexity to $O(\lambda \log \log n + \log n)$ for codewords of length $n$. $\quad \bullet$ $\mathsf{FACS}$, an accumulation scheme for NP that achieves linear prover time and $O(\lambda)$ oracle queries per step of the accumulation.

Both schemes support a large class of linear-time encodable codes, including systematic LDPC codes and tensor codes of linear-time encodable codes.

We obtain our results by extending and formalizing the framework of Interactive Oracle Reductions (IORs) introduced by Ben-Sasson et al. [TCC 2019]. In particular, we develop new IORs for "codeswitching" tensor codes (Ron-Zewi and Rothblum [JACM 2024]), and also develop a new notion of knowledge soundness for IORs that allows us to easily compose IORs and to prove the security of our schemes in the non-interactive setting, even if the underlying codes are not known to be decodable in polynomial time.
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Max Duparc
ePrint Report ePrint Report
We study the structure of theta structure on products of elliptic curves, detailing their construction through the symmetries induced by $4$-torsion points. In particular, we show how these symmetries allow the computation of theta structures projectively, thus avoiding the use of modular inversions. Furthermore, we explore the self-similarity of the matrix representation of theta structures, arising from the action of the canonical $2$-torsion point in the Kummer line. Combined with the sparsity of certain $4$-torsion points, this structure leads to new formulae for computing gluing $(2,2)$ isogenies that require significantly fewer precomputations and arithmetic operations. These new equations also naturally support the evaluation of points on the quadratic twist at negligible additional cost, without requiring operations in a field extension.
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Katharina Boudgoust, Anamaria Costache
ePrint Report ePrint Report
Threshold encryption schemes provide a common tool to secure a public-key encryption scheme against single point of failure attacks. Despite the success of lattices in building fully-homomorphic and presumably quantum-resistant encryption schemes, the task of thresholdizing those schemes remains challenging. The major bottleneck in the standard approach is the use of statistical noise flooding, leading to a significant efficiency loss and the need of stronger hardness assumptions. Recent works have replaced the heavy statistical noise flooding by a lighter one using the Rényi divergence. The new Rényi noise flooding both improves the efficiency and allows to use weaker hardness assumptions. However, arguing semantic security of lattice-based threshold schemes in the presence of Rényi noise flooding showed to be challenging. Chowdhury et al. (IACR ePrint'22) argued in the fully-homomorphic case that the Rényi divergence directly applies for semantic security by making use of an existing framework called public sampleability.

In this work, we argue that their public sampleability framework was neither sufficient nor correctly used. To address both issues, we strengthen the framework and thoroughly apply it to prove semantic security of generic lattice-based threshold encryption constructions. We distinguish between the plain public-key and the fully-homomorphic settings, as different security notions are achieved. As a byproduct, this shows that the proof detour via one-way security made by Boudgoust and Scholl (Asiacrypt'23) was superfluous, now leading to tighter proofs in the standard model.
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Vicent Esteve Voltes
ePrint Report ePrint Report
Delegation of quantum computation in a trustful way is one of the most fundamental challenges toward the realization of future quantum cloud computing. While considerable progress has been made, no known protocol provides a purely classical client with universal delegated quantum computation while simultaneously ensuring blindness (input privacy), verifiability (soundness), and robustness against quantum noise—a feat that must be achieved under stringent cryptographic assumptions and with low overhead.

In this work, I introduce UVCQC, a new delegation framework that, for the first time, realizes a fully composable protocol for securely delegating quantum computations to an untrusted quantum server from a classical client. My scheme employs trap-based quantum authentication, post-quantum cryptographic commitments, and zero-knowledge proofs to provide full guarantees: the client remains purely classical; the server learns nothing about the computation; and any attempt to deviate from the specified circuit is detected with high probability.

I rigorously prove completeness, soundness, and perfect blindness of the protocol and demonstrate its universal composability against unbounded quantum adversaries. Furthermore, I propose a thermodynamically inspired verification mechanism based on energy dissipation and entropy change, enabling physically testable verification independent of cryptographic assumptions.

Beyond its core architecture, UVCQC is deeply intertwined with multidisciplinary frameworks: it admits a game-theoretic formulation where honesty is a Nash equilibrium, an information-theoretic treatment grounded in Holevo bounds, a categorical model via compact closed structures, and novel cryptographic enhancements based on isogeny-based primitives and topological invariants.

This research offers a scalable and unified solution to the blind and verifiable delegation problem, pushing forward the theoretical and practical frontiers of secure quantum computation—and opening a tangible path toward trustable quantum cloud services for classical users.
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