All papers in 2025 (583 results)

Last updated:  2025-04-01
Counter Galois Onion (CGO) for Tor: Fast Non-Malleable Onion Encryption
Jean Paul Degabriele, Alessandro Melloni, Jean-Pierre Münch, and Martijn Stam
In 2012, the Tor project expressed the need to upgrade Tor's onion encryption scheme to protect against tagging attacks and thereby strengthen its end-to-end integrity protection. Tor proposal 261, where each encryption layer is processed by a strongly secure, yet relatively expensive tweakable wide-block cipher, is the only concrete candidate replacement to be backed by formal, yet partial, security proofs (Degabriele and Stam, EUROCRYPT 2018, and Rogaway and Zhang, PoPETS 2018). We propose an alternative onion encryption scheme, called Counter Galois Onion (CGO), that follows a minimalistic, modular design and includes several improvements over proposal 261. CGO's underlying primitive is an updatable tweakable split-domain cipher accompanied with a new security notion, that augments the recently introduced rugged pseudorandom permutation (Degabriele and Karadžić, CRYPTO 2022). Thus, we relax the security compared to a tweakable wide-block cipher, allowing for more efficient designs. We suggest a concrete instantiation for the updatable tweakable split-domain cipher and report on our experiments comparing the performance of CGO with Tor's existing onion encryption scheme.
Last updated:  2025-03-31
Release the Power of Rejected Signatures: An Efficient Side-Channel Attack on Dilithium
Zheng Liu, An Wang, Congming Wei, Yaoling Ding, Jingqi Zhang, Annyu Liu, and Liehuang Zhu
The Module-Lattice-Based Digital Signature Standard (ML-DSA), formerly known as CRYSTALS-Dilithium, is a lattice-based post-quantum cryptographic scheme. In August 2024, the National Institute of Standards and Technology (NIST) officially standardized ML-DSA under FIPS 204. Dilithium generates one valid signature and multiple rejected signatures during the signing process. Most Side-Channel Attacks targeting Dilithium have focused solely on the valid signature, while neglecting the hints contained in rejected signatures. In this paper, we propose a method for recovering the private key by simultaneously leveraging side-channel leakages from both valid signatures and rejected signatures. This approach minimizes the number of signing attempts required for full key recovery. We construct a factor graph incorporating all relevant side-channel leakages and apply the Belief Propagation (BP) algorithm for private key recovery. We conducted a proof-of-concept experiment on a Cortex M4 core chip, where the results demonstrate that utilizing rejected signatures reduces the required number of traces by at least for full key recovery. A minimum of a single trace can recover the private key with a success rate of . Our findings highlight that protecting rejected signatures is crucial, as their leakage provides valuable side-channel information. We strongly recommend implementing countermeasures for rejected signatures during the signing process to mitigate potential threats.
Last updated:  2025-03-31
Reusable Dynamic Multi-Party Homomorphic Encryption
Jung Hee Cheon, Hyeongmin Choe, Seunghong Kim, and Yongdong Yeo
Homomorphic Encryption (HE) is a promising primitive for evaluating arbitrary circuits while keeping the user's privacy. We investigate how to use HE in the multi-party setting where data is encrypted with several distinct keys. One may use the Multi-Key Homomorphic Encryption (MKHE) in this setting, but it has space/computation overhead of for the number of users , which makes it impractical when grows large. On the contrary, Multi-Party Homomorphic Encryption (MPHE) is the other Homomorphic Encryption primitive in the multi-party setting, where the space/computation overhead is ; however, is limited in terms of ciphertext reusability and dynamicity, that ciphertexts are encrypted just for a group of parties and cannot be reused for other purposes, and that additional parties cannot join the computation dynamically. Contrary to MKHE, where the secret key owners engage only in the decryption phase, we consider a more relaxed situation where the secret key owners can communicate before the computation. In that case, we can reduce the size of a ciphertext and the evaluation complexity from to as in a single-key HE setting. We call this primitive as {\em Reusable Dynamic Multi-Party Homomorphic Encryption}, which is more suitable in real-world scenarios. We show that 1) the procedures before the computation can be done in a very few rounds of communications, 2) the evaluation/space complexities are independent of the number of users, and 3) the functionalities are as efficient as MKHE, with asymptotic analysis and with implementation.
Last updated:  2025-03-31
Efficient Revocable Identity-Based Encryption from Middle-Product LWE
Takumi Nishimura and Atsushi Takayasu
The Middle-Product Learning with Errors (MPLWE) assumption is a variant of the Learning with Errors (LWE) assumption. The MPLWE assumption reduces the key size of corresponding LWE-based schemes by setting keys as sets of polynomials. Moreover, MPLWE has more robust security than other LWE variants such as Ring-LWE and Module-LWE. Lombardi et al. proposed an identity-based encryption (IBE) scheme (LVV-IBE) based on the MPLWE assumption in the random oracle model (ROM) by following Gentry et al.'s IBE scheme (GPV-IBE) based on LWE. Due to the benefit of MPLWE, LVV-IBE has a shorter master public key and a secret key than GPV-IBE without changing the size of a ciphertext. However, Lombardi et al.'s proof is not tight in the ROM, while Katsumata et al. proved that GPV-IBE achieves tight adaptive anonymity in the quantum ROM (QROM). Revocable IBE (RIBE) is a variant of IBE supporting a key revocation mechanism to remove malicious users from the system. Takayasu proposed the most efficient RIBE scheme (Takayasu-RIBE) based on LWE achieving tight adaptive anonymity in the QROM. Although a concrete RIBE scheme based on MPLWE has not been proposed, we can construct a scheme (LVV-based RIBE) by applying Ma and Lin's generic transformation to LVV-IBE. Due to the benefit of MPLWE, LVV-based RIBE has an asymptotically shorter master public key and a shorter secret key than Takayasu-RIBE although the former has a larger ciphertext than the latter. Moreover, the security proof is not tight and anonymous in the ROM due to security proofs of Ma-Lin and Lombardi et al. In this paper, we propose a concrete RIBE scheme based on MPLWE. Compared with the above RIBE schemes, the proposed RIBE scheme is the most asymptotically efficient since the sizes of a master public key and a secret key (resp. ciphertext) of the proposed scheme are the same as those of LVV-based RIBE scheme (resp. Takayasu-RIBE). Moreover, we prove the tight adaptive anonymity of the proposed RIBE scheme in the QROM. For this purpose, we also prove the tight adaptive anonymity of LVV-IBE in the QROM.
Last updated:  2025-03-30
REGKYC: Supporting Privacy and Compliance Enforcement for KYC in Blockchains
Xihan Xiong, Michael Huth, and William Knottenbelt
Know Your Customer (KYC) is a core component of the Anti-Money Laundering (AML) framework, designed to prevent illicit activities within financial systems. However, enforcing KYC and AML on blockchains remains challenging due to difficulties in establishing accountability and preserving user privacy. This study proposes REGKYC, a privacy-preserving Attribute-Based Access Control (ABAC) framework that balances user privacy with externally mandated KYC and AML requirements. REGKYC leverages a structured ABAC model to support the flexible verification of KYC attributes and the enforcement of compliance policies, providing benefits to multiple stakeholders. First, it enables legitimate users to meet compliance requirements while preserving the privacy of their on-chain activities. Second, it empowers Crypto-asset Service Providers (CASPs) to tailor compliance policies to operational needs, ensuring adaptability to evolving regulations. Finally, it enhances regulatory accountability by enabling authorized deanonymization of malicious actors. We hope this work inspires future research to harmonize user privacy and regulatory compliance in blockchain systems.
Last updated:  2025-03-30
Efficient Garbled Pseudorandom Functions and Lookup Tables from Minimal Assumption
Wei-Kai Lin, Zhenghao Lu, and Hong-Sheng Zhou
Yao's garbled circuits have received huge attention in both theory and practice. While garbled circuits can be constructed using minimal assumption (i.e., the existence of pseudorandom functions or one-way functions), the state-of-the-art constructions (e.g., Rosulek-Roy, Crypto 2021) are based on stronger assumptions. In particular, the ``Free-XOR'' technique (Kolesnikov-Schneider, ICALP 2008) is essential in these state-of-the-art constructions, and their security can only be proven in the random oracle model, or rely on the ``circular-correlation robust hash'' assumption. In this paper, we aim to develop new techniques to construct efficient garbling schemes using minimal assumptions. Instead of generically replacing the Free-XOR technique, we focus on garbling schemes for specific functionalities. We successfully eliminated the need for Free-XOR in several state-of-the-art schemes, including the one-hot garbling (Heath and Kolesnikov, CCS 2021) and the garbled pseudorandom functions, and the garbled lookup tables (Heath, Kolesnikov and Ng, Eurocrypt 2024). Our schemes are based on minimal assumptions, i.e., standard pseudorandom functions (PRFs)---we resolved the need for circular security. The performance of our scheme is almost as efficient as the best results except for a small constant factor. Namely, for any lookup table , our scheme takes bits of communication, where is the security parameter of PRF.
Last updated:  2025-03-30
Making GCM Great Again: Toward Full Security and Longer Nonces
Woohyuk Chung, Seongha Hwang, Seongkwang Kim, Byeonghak Lee, and Jooyoung Lee
The GCM authenticated encryption (AE) scheme is one of the most widely used AE schemes in the world, while it suffers from risk of nonce misuse, short message length per encryption and an insufficient level of security. The goal of this paper is to design new AE schemes achieving stronger provable security in the standard model and accepting longer nonces (or providing nonce misuse resistance), with the design rationale behind GCM. As a result, we propose two enhanced variants of GCM and GCM-SIV, dubbed eGCM and eGCM-SIV, respectively. eGCM and eGCM-SIV are built on top of a new CENC-type encryption mode, dubbed eCTR: using 2n-bit counters, eCTR enjoys beyond-birthday-bound security without significant loss of efficiency. eCTR is combined with an almost uniform and almost universal hash function, yielding a variable input-length variable output-length pseudorandom function, dubbed HteC. GCM and GCM-SIV are constructed using eCTR and HteC as building blocks. eGCM and eGCM-SIV accept nonces of arbitrary length, and provide almost the full security (namely, n-bit security when they are based on an n-bit block cipher) for a constant maximum input length, under the assumption that the underlying block cipher is a pseudorandom permutation (PRP). Their efficiency is also comparable to GCM in terms of the rate and the overall speed.
Last updated:  2025-04-01
Pre-Constructed Publicly Verifiable Secret Sharing and Applications
Karim Baghery, Noah Knapen, Georgio Nicolas, and Mahdi Rahimi
Conventional Publicly Verifiable Secret Sharing (PVSS) protocols allow a dealer to share a secret among parties without interaction, ensuring that any parties (where ) can recover the secret, while anyone can publicly verify the validity of both the individual shares and the reconstructed secret. PVSS schemes are shown to be a key tool in a wide range of practical applications. In this paper, we introduce Pre-constructed PVSS (PPVSS), an extension of standard PVSS schemes, highlighting its enhanced utility and efficiency in various protocols. Unlike standard PVSS, PPVSS requires the dealer to publish a commitment or encryption of the main secret and incorporates a novel secret reconstruction method. We show that these refinements make PPVSS more practical and versatile than conventional PVSS schemes. To build a PPVSS scheme, we first point out that the well-known PVSS scheme by Schoenmakers (CRYPTO'99) and its pairing-based variant presented by Heidarvand and Villar (SAC'08) can be seen as special cases of PPVSS, where the dealer also publishes a commitment to the main secret. However, these protocols are not practical for many applications due to efficiency limitations and are less flexible compared to a standard PPVSS scheme. To address this, we propose a general strategy for transforming a Shamir-based PVSS scheme into a PPVSS scheme. Using this strategy, we construct two practical PPVSS schemes in both the Random Oracle (RO) and plain models, grounded in state-of-the-art PVSS designs. Leveraging the new RO-based PPVSS scheme, we revisit some applications and present more efficient variants. Notably, we propose a new universally verifiable e-voting protocol that improves on the alternative scheme by Schoenmakers (CRYPTO'99), reducing the verification complexity with voters from to exponentiations--a previously unattainable goal with standard PVSS schemes. Our implementation results demonstrate that both our proposed PPVSS schemes and the new universally verifiable e-voting protocol significantly outperform existing alternatives in terms of efficiency.
Last updated:  2025-03-29
Wagner's Algorithm Provably Runs in Subexponential Time for SIS
Léo Ducas, Lynn Engelberts, and Johanna Loyer
At CRYPTO 2015, Kirchner and Fouque claimed that a carefully tuned variant of the Blum-Kalai-Wasserman (BKW) algorithm (JACM 2003) should solve the Learning with Errors problem (LWE) in slightly subexponential time for modulus and narrow error distribution, when given enough LWE samples. Taking a modular view, one may regard BKW as a combination of Wagner's algorithm (CRYPTO 2002), run over the corresponding dual problem, and the Aharonov-Regev distinguisher (JACM 2005). Hence the subexponential Wagner step alone should be of interest for solving this dual problem - namely, the Short Integer Solution problem (SIS) - but this appears to be undocumented so far. We re-interpret this Wagner step as walking backward through a chain of projected lattices, zigzagging through some auxiliary superlattices. We further randomize the bucketing step using Gaussian randomized rounding to exploit the powerful discrete Gaussian machinery. This approach avoids sample amplification and turns Wagner's algorithm into an approximate discrete Gaussian sampler for -ary lattices. For an SIS lattice with equations modulo , this algorithm runs in subexponential time to reach a Gaussian width parameter only requiring many SIS variables. This directly provides a provable algorithm for solving the Short Integer Solution problem in the infinity norm () for norm bounds . This variant of SIS underlies the security of the NIST post-quantum cryptography standard Dilithium. Despite its subexponential complexity, Wagner's algorithm does not appear to threaten Dilithium's concrete security.
Last updated:  2025-03-29
Buffalo: A Practical Secure Aggregation Protocol for Asynchronous Federated Learning
Riccardo Taiello, Clémentine Gritti, Melek Önen, and Marco Lorenzi
Federated Learning (FL) has become a crucial framework for collaboratively training Machine Learning (ML) models while ensuring data privacy. Traditional synchronous FL approaches, however, suffer from delays caused by slower clients (called stragglers), which hinder the overall training process. Specifically, in a synchronous setting, model aggregation happens once all the intended clients have submitted their local updates to the server. To address these inefficiencies, Buffered Asynchronous FL (BAsyncFL) was introduced, allowing clients to update the global model as soon as they complete local training. In such a setting, the new global model is obtained once the buffer is full, thus removing synchronization bottlenecks. Despite these advantages, existing Secure Aggregation (SA) techniques—designed to protect client updates from inference attacks—rely on synchronized rounds, making them unsuitable for asynchronous settings. In this paper, we present Buffalo, the first practical SA protocol tailored for BAsyncFL. Buffalo leverages lattice-based encryption to handle scalability challenges in large ML models and introduces a new role, the assistant, to support the server in securely aggregating client updates. To protect against an actively corrupted server, we enable clients to verify that their local updates have been correctly integrated into the global model. Our comprehensive evaluation—incorporating theoretical analysis and real-world experiments on benchmark datasets—demonstrates that Buffalo is an efficient and scalable privacy-preserving solution in BAsyncFL environments.
Last updated:  2025-03-29
Forking Lemma in EasyCrypt
Denis Firsov and Jakub Janků
Formal methods are becoming an important tool for ensuring correctness and security of cryptographic constructions. However, the support for certain advanced proof techniques, namely rewinding, is scarce among existing verification frameworks, which hinders their application to complex schemes such as multi-party signatures and zero-knowledge proofs. We expand the support for rewinding in EasyCrypt by implementing a version of the general forking lemma by Bellare and Neven. We demonstrate its usability by proving EUF-CMA security of Schnorr signatures.
Last updated:  2025-03-29
Zinnia: An Expressive and Efficient Tensor-Oriented Zero-Knowledge Programming Framework
Zhantong Xue, Pingchuan Ma, Zhaoyu Wang, and Shuai Wang
Zero-knowledge proofs (ZKPs) are cryptographic protocols that enable a prover to convince a verifier of a statement's truth without revealing any details beyond its validity. Typically, the statement is encoded as an arithmetic circuit, and allows the prover to demonstrate that the circuit evaluates to true without revealing its inputs. Despite their potential to enhance privacy and security, ZKPs are difficult to write and optimize, limiting their adoption in machine learning and data science. To address these challenges, we introduce Zinnia, a zero-knowledge programming framework with high utility, expressiveness and efficiency for tensor-oriented computation. Zinnia provides a high-level programming language that enables developers to easily write ZKP programs, and it employs a novel symbolic execution-inspired approach to extracting semantics from these programs to generate arithmetic circuits. Zinnia supports tensor-oriented computations and provides a rich set of programming constructs, optimizations, and a powerful static type system for expressing and optimizing complex logic. We evaluate Zinnia across 25 real-world programming tasks and a user study, comparing it to existing solutions, including DSLs and zkVMs (Halo2, SP1, and RISC0). Our results demonstrate that Zinnia outperforms these baselines in utility, expressiveness, and efficiency, with a statistically significant reduction in development time, shorter code length, 19.3% smaller circuit size, and up to faster proving time compared to zkVMs, paving the way for practical ZKP applications in various domains.
Last updated:  2025-03-29
Universally Composable Relaxed Asymmetric Password-Authenticated Key Exchange
Shuya Hanai, Keisuke Tanaka, Masayuki Tezuka, and Yusuke Yoshida
Password-Authenticated Key Exchange (PAKE) establishes a secure channel between two parties who share a password. Asymmetric PAKE is a variant of PAKE, where one party stores a hash of the password to preserve security under the situation that the party is compromised. The security of PAKE and asymmetric PAKE is often analyzed in the framework of universal composability (UC). Abdalla et al. (CRYPTO '20) relaxed the UC security of PAKE and showed that the relaxed security still guarantees reasonable properties. This relaxation makes it possible to prove the security in the UC framework for several PAKE protocols. In this paper, we propose a relaxed functionality of asymmetric PAKE by following the approach of Abdalla et al. We prove that the SPAKE2+ protocol UC-realizes this functionality. We also define a more relaxed functionality and prove that a variant of the AuCPace protocol UC-realizes it.
Last updated:  2025-03-28
Partial Key Overwrite Attacks in Microcontrollers: a Survey
pcy Sluys, Lennert Wouters, Benedikt Gierlichs, and Ingrid Verbauwhede
Embedded devices can be exposed to a wide range of attacks. Some classes of attacks can be mitigated using security features or dedicated countermeasures. Examples include Trusted Execution Environments, and masking countermeasures against physical side-channel attacks. However, a system that incorporates such secure components is not automatically a secure system. Partial Key Overwrite attacks are one class of attacks that specifically target the interface between different components of the security system. These attacks may allow an adversary to extract otherwise protected cryptographic keys through careful manipulation of memory-mapped registers. So far this powerful class of attacks has received little attention in the academic literature. In this work, we provide an overview of known Partial Key Overwrite vulnerabilities and how they were used in real-world attacks. Additionally, we evaluated 31 common microcontrollers and embedded microprocessors from eleven distinct vendors and detail our findings. Based on a first high-level evaluation we selected 15 SoCs and performed an in-depth evaluation. This evaluation revealed that at least eight of these SoCs are vulnerable to partial key overwrite attacks.
Last updated:  2025-03-28
Solving Data Availability Limitations in Client-Side Validation with UTxO Binding
Yunwen Liu, Bo Wang, and Ren Zhang
Issuing tokens on Bitcoin remains a highly sought-after goal, driven by its market dominance and robust security. However, Bitcoin's limited on-chain storage and functionality pose significant challenges. Among the various approaches to token issuance on Bitcoin, client-side validation (CSV) has emerged as a prominent solution. CSV delegates data storage and functionalities beyond Bitcoin’s native capabilities to off-chain clients, while leveraging the blockchain to validate tokens and prevent double-spending. Nevertheless, these protocols require participants to maintain token ownership and transactional data, rendering them vulnerable to data loss and malicious data withholding. In this paper, we propose UTxO binding, a novel framework that achieves both robust data availability and enhanced functionality compared to existing CSV designs. This approach securely binds a Bitcoin UTxO, which prevents double-spending, to a UTxO on an auxiliary blockchain, providing data storage and programmability. We formally prove its security and implement our design using Nervos CKB as the auxiliary blockchain.
Last updated:  2025-03-28
An in-depth security evaluation of the Nintendo DSi gaming console
pcy Sluys, Lennert Wouters, Benedikt Gierlichs, and Ingrid Verbauwhede
The Nintendo DSi is a handheld gaming console released by Nintendo in 2008. In Nintendo's line-up the DSi served as a successor to the DS and was later succeeded by the 3DS. The security systems of both the DS and 3DS have been fully analysed and defeated. However, for over 14 years the security systems of the Nintendo DSi remained standing and had not been fully analysed. To that end this work builds on existing research and demonstrates the use of a second-order fault injection attack to extract the ROM bootloaders stored in the custom system-on-chip used by the DSi. We analyse the effect of the induced fault and compare it to theoretical fault models. Additionally, we present a security analysis of the extracted ROM bootloaders and develop a modchip using cheap off-the-shelf components. The modchip allows to jailbreak the console, but more importantly allows to resurrect consoles previously assumed irreparable.
Last updated:  2025-03-28
Starfish: A high throughput BFT protocol on uncertified DAG with linear amortized communication complexity
Nikita Polyanskii, Sebastian Mueller, and Ilya Vorobyev
Current DAG-based BFT protocols face a critical trade-off: certified DAGs provide strong security guarantees but require additional rounds of communication to progress the DAG construction, while uncertified DAGs achieve lower latency at the cost of either reduced resistance to adversarial behaviour or higher communication costs. This paper presents Starfish, a partially synchronous DAG-based BFT protocol that achieves the security properties of certified DAGs, the efficiency of uncertified approaches and linear amortized communication complexity. The key innovation is Encoded Cordial Dissemination, a push-based dissemination strategy that combines Reed-Solomon erasure coding with Data Availability Certificates (DACs). Each of the validators disseminates complete transaction data for its own blocks while distributing encoded shards for others' blocks, enabling efficient data reconstruction with just shards. Building on the previous uncertified DAG BFT commit rule, Starfish extends it to efficiently verify data availability through committed leader blocks serving as DACs. For large enough transaction data, this design allows Starfish to achieve amortized communication complexity per committed transaction byte. The average and worst-case end-to-end latencies for Starfish are rigorously proven to be bounded by and in the steady state, where denotes the actual network delay. Experimental evaluation against state-of-the-art DAG BFT protocols demonstrates Starfish's robust performance under steady-state and Byzantine scenarios. Our results show that strong Byzantine fault tolerance, high performance, and low communication complexity can coexist in DAG BFT protocols, making Starfish particularly suitable for large-scale distributed ledger deployments.
Last updated:  2025-03-28
Cryptanalysis of Fruit-F: Exploiting Key-Derivation Weaknesses and Initialization Vulnerabilities
Subhadeep Banik and Hailun Yan
Fruit-F is a lightweight short-state stream cipher designed by Ghafari et al. The authors designed this version of the cipher, after earlier versions of the cipher viz. Fruit 80/v2 succumbed to correlation attacks. The primary motivation behind this design seemed to be preventing correlation attacks. Fruit-F has a Grain-like structure with two state registers of size 50 bits each. In addition, the cipher uses an 80-bit secret key and an 80-bit IV. The authors use a complex key-derivation function to update the non-linear register which prevents the same key-bit alignment across fixed-length window of keystream bits, which is essentially what stops the correlation attacks. In this paper, we first present two attacks against Fruit-F. The first attack stems from the fact that the key-derivation can be rewritten as the Boolean xor of two key-dependent terms one of which is the Boolean OR of two bits of the key. Using this we show that the cipher does not offer 80-bit security: the effective key space of Fruit-F is slightly less than , i.e. a simple brute force attack costs around time. The second is a differential attack using the cipher's complex initialization process. We show that under some given conditions, it is possible to have two initial vectors and that produce identical keystream vectors with any given key. Using this as a distinguisher, it is possible to collect enough linear and quadratic equations of the secret key to find it in practical time with very few keystream bits.
Last updated:  2025-03-27
Attacking soundness for an optimization of the Gemini Polynomial Commitment Scheme
Lydia Garms and Michael Livesey
We demonstrate an attack on the soundness of a widely known optimization of the Gemini multilinear Polynomial Commitment Scheme (PCS). The attack allows a malicious prover to falsely claim that a multilinear polynomial takes a value of their choice, for any input point. We stress that the original Gemini multilinear PCS and HyperKZG, an adaptation of Gemini, are not affected by the attack.
Last updated:  2025-03-27
Combined Masking and Shuffling for Side-Channel Secure Ascon on RISC-V
Linus Mainka and Kostas Papagiannopoulos
Both masking and shuffling are very common software countermeasures against side-channel attacks. However, exploring possible combinations of the two countermeasures to increase and fine-tune side-channel resilience is less investigated. With this work, we aim to bridge that gap by both concretising the security guarantees of several masking and shuffling combinations presented in earlier work and additionally investigating their randomness cost. We subsequently implement these approaches to also analyse their performance. In this context, we present five different protected implementations of the new standard for lightweight cryptography, Ascon, on a 32-bit RISC-V architecture: A 3rd-order masked, unshuffled implementation and three combined 3rd-order masked and shuffled implementations. Additionally, we present a levelled implementation where only the particularly vulnerable keyed initialisation and finalisation of the permutation are masked and shuffled, while the rest is only shuffled. To further improve the security and performance of our implementations we make use of the Probe Isolating Non-Interference (PINI) masked AND gadget, coupled with techniques like bit-slicing and bit-interleaving. Utilising benchmarking and an MI-shortcut security analysis, we pinpoint the best masking-shuffling combinations that maximize security at reasonable overheads.
Last updated:  2025-03-29
An Optimized Instantiation of Post-Quantum MQTT protocol on 8-bit AVR Sensor Nodes
YoungBeom Kim and Seog Chung Seo
Since the selection of the National Institute of Standards and Technology (NIST) Post-Quantum Cryptography (PQC) standardization algorithms, research on integrating PQC into security protocols such as TLS/SSL, IPSec, and DNSSEC has been actively pursued. However, PQC migration for Internet of Things (IoT) communication protocols remains largely unexplored. Embedded devices in IoT environments have limited computational power and memory, making it crucial to optimize PQC algorithms for efficient computation and minimal memory usage when deploying them on low-spec IoT devices. In this paper, we introduce KEM-MQTT, a lightweight and efficient Key Encapsulation Mechanism (KEM) for the Message Queuing Telemetry Transport (MQTT) protocol, widely used in IoT environments. Our approach applies the NIST KEM algorithm Crystals-Kyber (Kyber) while leveraging MQTT’s characteristics and sensor node constraints. To enhance efficiency, we address certificate verification issues and adopt KEMTLS to eliminate the need for Post-Quantum Digital Signatures Algorithm (PQC-DSA) in mutual authentication. As a result, KEM-MQTT retains its lightweight properties while maintaining the security guarantees of TLS 1.3. We identify inefficiencies in existing Kyber implementations on 8-bit AVR microcontrollers (MCUs), which are highly resource-constrained. To address this, we propose novel implementation techniques that optimize Kyber for AVR, focusing on high-speed execution, reduced memory consumption, and secure implementation, including Signed LookUp-Table (LUT) Reduction. Our optimized Kyber achieves performance gains of 81%,75%, and 85% in the KeyGen, Encaps, and DeCaps processes, respectively, compared to the reference implementation. With approximately 3 KB of stack usage, our Kyber implementation surpasses all state-of-the-art Elliptic Curve Diffie-Hellman (ECDH) implementations. Finally, in KEM-MQTT using Kyber-512, an 8-bit AVR device completes the handshake preparation process in 4.32 seconds, excluding the physical transmission and reception times.
Last updated:  2025-03-27
Analysis of One Certificateless Authentication and Key Agreement Scheme for Wireless Body Area Network
Zhengjun Cao and Lihua Liu
We show that the certificateless authentication scheme [Mob. Networks Appl. 2022, 27, 346-356] fails to keep anonymity, not as claimed. The scheme neglects the basic requirement for bit-wise XOR, and tries to encrypt data by the operator. The negligence results in some trivial equalities. The adversary can retrieve the user's identity from one captured string via the open channel.
Last updated:  2025-03-26
ThreatLens: LLM-guided Threat Modeling and Test Plan Generation for Hardware Security Verification
Dipayan Saha, Hasan Al Shaikh, Shams Tarek, and Farimah Farahmandi
Current hardware security verification processes predominantly rely on manual threat modeling and test plan generation, which are labor-intensive, error-prone, and struggle to scale with increasing design complexity and evolving attack methodologies. To address these challenges, we propose ThreatLens, an LLM-driven multi-agent framework that automates security threat modeling and test plan generation for hardware security verification. ThreatLens integrates retrieval-augmented generation (RAG) to extract relevant security knowledge, LLM-powered reasoning for threat assessment, and interactive user feedback to ensure the generation of practical test plans. By automating these processes, the framework reduces the manual verification effort, enhances coverage, and ensures a structured, adaptable approach to security verification. We evaluated our framework on the NEORV32 SoC, demonstrating its capability to automate security verification through structured test plans and validating its effectiveness in real-world scenarios.
Last updated:  2025-03-26
Jump, It Is Easy: JumpReLU Activation Function in Deep Learning-based Side-channel Analysis
Abraham Basurto-Becerra, Azade Rezaeezade, and Stjepan Picek
Deep learning-based side-channel analysis has become a popular and powerful option for side-channel attacks in recent years. One of the main directions that the side-channel community explores is how to design efficient architectures that can break the targets with as little as possible attack traces, but also how to consistently build such architectures. In this work, we explore the usage of the JumpReLU activation function, which was designed to improve the robustness of neural networks. Intuitively speaking, improving the robustness seems a natural requirement for side-channel analysis, as hiding countermeasures could be considered adversarial attacks. In our experiments, we explore three strategies: 1) exchanging the activation functions with JumpReLU at the inference phase, training common side-channel architectures with JumpReLU, and 3) conducting hyperparameter search with JumpReLU as the activation function. While the first two options do not yield improvements in results (but also do not show worse performance), the third option brings advantages, especially considering the number of neural networks that break the target. As such, we conclude that using JumpReLU is a good option to improve the stability of attack results.
Last updated:  2025-03-26
Is Your Bluetooth Chip Leaking Secrets via RF Signals?
Yanning Ji, Elena Dubrova, and Ruize Wang
In this paper, we present a side-channel attack on the hardware AES accelerator of a Bluetooth chip used in millions of devices worldwide, ranging from wearables and smart home products to industrial IoT. The attack leverages information about AES computations unintentionally transmitted by the chip together with RF signals to recover the encryption key. Unlike traditional side-channel attacks that rely on power or near-field electromagnetic emissions as sources of information, RF-based attacks leave no evidence of tampering, as they do not require package removal, chip decapsulation, or additional soldered components. However, side-channel emissions extracted from RF signals are considerably weaker and noisier, necessitating more traces for key recovery. The presented profiled machine learning-assisted attack can recover the full encryption key from 90,000 traces captured at a one-meter distance from the target device, with each trace being an average of 10,000 samples per encryption. This is a twofold improvement over the correlation analysis-based attack on the same AES accelerator.
Last updated:  2025-03-26
Breaking and Fixing Content-Defined Chunking
Kien Tuong Truong, Simon-Philipp Merz, Matteo Scarlata, Felix Günther, and Kenneth G. Paterson
Content-defined chunking (CDC) algorithms split streams of data into smaller blocks, called chunks, in a way that preserves chunk boundaries when the data is partially changed. CDC is ubiquitous in applications that deduplicate data such as backup solutions, software patching systems, and file hosting platforms. Much like compression, CDC can introduce leakage when combined with encryption: fingerprinting attacks can exploit chunk length patterns to infer information about the data. To address these risks, many systems—mainly in the cloud backup setting—have developed bespoke mitigations by mixing a cryptographic key into the chunking process. We study these keyed CDC (KCDC) schemes “in the wild”, presenting efficient key recovery attacks against five different KCDC schemes, deployed in the backup solutions Borg, Bupstash, Duplicacy, Restic, and Tarsnap. Our attacks are in a realistic threat model that relies only on weak known or chosen-plaintext capabilities. This shows, in particular, that they fail to protect against fingerprinting attacks. To demonstrate practical exploitability, we also present “end-to-end” attacks on three complete encrypted backup applications, namely Borg, Restic and Tarsnap. These build on our attacks on the underlying KCDC schemes. In an effort to tackle these problems, we introduce the first formal treatment for KCDC schemes and propose a provably secure construction that fulfills a strong notion of security. We benchmark our construction against existing (broken) approaches, showing that it has competitive performance. In doing so, we take a step towards making real-world systems that rely on KCDC more resilient to attacks.
Last updated:  2025-03-26
Soloist: Distributed SNARKs for Rank-One Constraint System
Weihan Li, Zongyang Zhang, Yun Li, Pengfei Zhu, Cheng Hong, and Jianwei Liu
Distributed SNARKs enable multiple provers to collaboratively generate proofs, enhancing the efficiency and scalability of large-scale computations. The state-of-the-art distributed SNARK for Plonk, Pianist (S\&P '24), achieves constant proof size, constant amortized communication complexity, and constant verifier complexity. However, when proving the Rank-One Constraint System (R1CS), a widely used intermediate representation for SNARKs, Pianist must perform the transformation from R1CS into Plonk before proving, which can introduce a start-up cost of due to the expansion of the statement size. Meanwhile, existing distributed SNARKs for R1CS, e.g., DIZK (USENIX Sec. '18) and Hekaton (CCS '24), fail to match the superior asymptotic complexities of Pianist. We propose , an optimized distributed SNARK for R1CS. achieves constant proof size, constant amortized communication complexity, and constant verifier complexity, relative to the R1CS size . Utilized with sub-provers, its prover complexity is . The concrete prover time is~ as fast as the R1CS-targeted Marlin (Eurocrypt '20). For zkRollups, can prove more transactions, with smaller memory costs, faster preprocessing, and faster proving than Pianist. leverages an improved inner product argument and a new batch bivariate polynomial commitment variant of KZG (Asiacrypt '10). To achieve constant verification, we propose a new preprocessing method with a lookup argument for unprescribed tables, which are usually assumed pre-committed in prior works. Notably, all these schemes are equipped with scalable distributed mechanisms.
Last updated:  2025-03-26
Private SCT Auditing, Revisited
Lena Heimberger, Christopher Patton, and Bas Westerbaan
In order for a client to securely connect to a server on the web, the client must trust certificate authorities (CAs) only to issue certificates to the legitimate operator of the server. If a certificate is miss-issued, it is possible for an attacker to impersonate the server to the client. The goal of Certificate Transparency (CT) is to log every certificate issued in a manner that allows anyone to audit the logs for miss-issuance. A client can even audit a CT log itself, but this would leak sensitive browsing data to the log operator. As a result, client-side audits are rare in practice. In this work, we revisit private CT auditing from a real-world perspective. Our study is motivated by recent changes to the CT ecosystem and advancements in Private Information Retrieval (PIR). First, we find that checking for inclusion of Signed Certificate Timestamps (SCTs) in a log — the audit performed by clients — is now possible with PIR in under a second and under 100kb of communication with minor adjustments to the protocol that have been proposed previously. Our results also show how to scale audits by using existing batching techniques and the algebraic structure of the PIR protocols, in particular to obtain certificate hashes by included in the log. Since PIR protocols are more performant with smaller databases, we also suggest a number of strategies to lower the size of the SCT database for audits. Our key observation is that the web will likely transition to a new model for certificate issuance. While this transition is primarily motivated by the need to adapt the PKI to larger, post-quantum signature schemes, it also removes the need for SCT audits in most cases. We present the first estimates of how this transition may impact SCT auditing, based on data gathered from public CT logs. We find that large scale deployment of the new issuance model may reduce the number of SCT audits needed by a factor of 1,000, making PIR-based auditing practical to deploy.
Last updated:  2025-03-26
Strong Federated Authentication With Password-based Credential Against Identity Server Corruption
Changsong Jiang, Chunxiang Xu, Guomin Yang, Li Duan, and Jing Wang
We initiate the study of strong federated authentication with password-based credential against identity server corruption (SaPBC). We provide a refined formal security model, which captures all the necessary security properties in registration, authentication, and session key establishment between a user and an application server. The new model with fine-grained information leakage separates the leakage of password-related files and long-term secrets (including passwords and credentials). Moreover, we present two SaPBC protocols constructed from efficient cryptographic primitives for these corruption scenarios. In addition to rigorous security proofs, we also conduct comprehensive performance evaluation of the two protocols.
Last updated:  2025-03-25
Analyzing Group Chat Encryption in MLS, Session, Signal, and Matrix
Joseph Jaeger and Akshaya Kumar
We analyze the composition of symmetric encryption and digital signatures in secure group messaging protocols where group members share a symmetric encryption key. In particular, we analyze the chat encryption algorithms underlying MLS, Session, Signal, and Matrix using the formalism of symmetric signcryption introduced by Jaeger, Kumar, and Stepanovs (Eurocrypt 2024). We identify theoretical attacks against each of the constructions we analyze that result from the insufficient binding between the symmetric encryption scheme and the digital signature scheme. In the case of MLS and Session, these translate into practically exploitable replay and reordering attacks by a group-insider. For Signal this leads to a forgery attack by a group-outsider with access to a user’s signing key, an attack previously discovered by Balbás, Collins, and Gajland (Asiacrypt 2023). In Matrix there are mitigations in the broader ecosystem that prevent exploitation. We provide formal security theorems that each of the four constructions are secure up to these attacks. Additionally, in Session we identified two attacks outside the symmetric signcryption model. The first allows a group-outsider with access to an exposed signing key to forge arbitrary messages and the second allows outsiders to replay ciphertexts.
Last updated:  2025-03-25
HIPR: Hardware IP Protection through Low-Overhead Fine-Grain Redaction
Aritra Dasgupta, Sudipta Paria, and Swarup Bhunia
Hardware IP blocks have been subjected to various forms of confidentiality and integrity attacks in recent years due to the globalization of the semiconductor industry. System-on-chip (SoC) designers are now considering a zero-trust model for security, where an IP can be attacked at any stage of the manufacturing process for piracy, cloning, overproduction, or malicious alterations. Hardware redaction has emerged as a promising countermeasure to thwart confidentiality and integrity attacks by untrusted entities in the globally distributed supply chain. However, existing redaction techniques provide this security at high overhead costs, making them unsuitable for real-world implementation. In this paper, we propose HIPR, a fine-grain redaction methodology that is robust, scalable, and incurs significantly lower overhead compared to existing redaction techniques. HIPR redacts security-critical Boolean and sequential logic from the hardware design, performs interconnect randomization, and employs multiple overhead optimization steps to reduce overhead costs. We evaluate HIPR on open-source benchmarks and reduce area overheads by 1 to 2 orders of magnitude compared to state-of-the-art redaction techniques without compromising security. We also demonstrate that the redaction performed by HIPR is resilient against conventional functional and structural attacks on hardware IPs. The redacted test IPs used to evaluate HIPR are available at: https://github.com/UF-Nelms-IoT-Git-Projects/HIPR.
Last updated:  2025-03-25
Black Box Crypto is Useless for Doubly Efficient PIR
Wei-Kai Lin, Ethan Mook, and Daniel Wichs
A (single server) private information retrieval (PIR) allows a client to read data from a public database held on a remote server, without revealing to the server which locations she is reading. In a doubly efficient PIR (DEPIR), the database is first preprocessed offline into a data structure, which then allows the server to answer any client query efficiently in sub-linear online time. Constructing DEPIR is a notoriously difficult problem, and this difficulty even extends to a weaker notion secret-key DEPIR (SK-DEPIR), where the database is preprocessed using secret randomness and the client is given a secret key for making queries. We currently only have constructions of SK-DEPIR from the Ring LWE assumption or from non-standard code-based assumptions. We show that the black-box use of essentially all generic cryptographic primitives (e.g., key agreement, oblivious transfer, indistinguishability obfuscation, etc.), including idealized primitives (e.g., random oracles, generic multilinear groups, virtual black-box obfuscation, etc.) is essentially useless for constructing SK-DEPIR. In particular, in any such SK-DEPIR construction, we can replace all black-box use of these primitives with just a black-box use of one-way functions. While we conjecture that SK-DEPIR cannot be constructed using black-box one-way functions alone, we are unable to show this in its full generality. However, we do show this for 2-round schemes with a passive server that simply outputs requested locations in the preprocessed data structure, which is the format of all known schemes. Overall, this shows that the black-box use of essentially all crypto primitives is insufficient for constructing 2-round passive-server SK-DEPIR, and does not provide any benefit beyond black-box one-way functions for constructing general SK-DEPIR.
Last updated:  2025-03-25
ANARKey: A New Approach to (Socially) Recover Keys
Aniket Kate, Pratyay Mukherjee, Hamza Saleem, Pratik Sarkar, and Bhaskar Roberts
In a social key recovery scheme, users back up their secret keys (typically using Shamir's secret sharing) with their social connections, known as a set of guardians. This places a heavy burden on the guardians, as they must manage their shares both securely and reliably. Finding and managing such a set of guardians may not be easy, especially when the consequences of losing a key are significant. We take an alternative approach of social recovery within a community, where each member already holds a secret key (with possibly an associated public key) and uses other community members as their guardians forming a mutual dependency among themselves. Potentially, each member acts as a guardian for upto other community members. Therefore, in this setting, using standard Shamir's sharing leads to a linear () blow-up in the internal secret storage of the guardian for each key recovery. Our solution avoids this linear blowup in internal secret storage by relying on a novel secret-sharing scheme, leveraging the fact that each member already manages a secret key. In fact, our scheme does not require guardians to store anything beyond their own secret keys. We propose the first formal definition of a social key recovery scheme for general access structures in the community setting. We prove that our scheme is secure against any malicious and adaptive adversary that may corrupt up to parties. As a main technical tool, we use a new notion of secret sharing, that enables out of sharing of a secret even when the shares are generated independently -- we formalize this as bottom-up secret sharing (BUSS), which may be of independent interest. Finally, we provide an implementation benchmarking varying the number of guardians both in a regional, and geo-distributed setting. For instance, for 8 guardians, our backup protocol takes around 146-149 ms in a geo-distributed WAN setting, and 4.9-5.9 ms in the LAN setting; for recovery protocol, the timings are approximately the same for the WAN setting (as network latency dominates), and 1.2-1.4 ms for the LAN setting.
Last updated:  2025-03-26
Exact Formula for RX-Differential Probability through Modular Addition for All Rotations
Alex Biryukov, Baptiste Lambin, and Aleksei Udovenko
This work presents an exact and compact formula for the probability of rotation-xor differentials (RX-differentials) through modular addition, for arbitrary rotation amounts, which has been a long-standing open problem. The formula comes with a rigorous proof and is also verified by extensive experiments. Our formula uncovers error in a recent work from 2022 proposing a formula for rotation amounts bigger than 1. Surprisingly, it also affects correctness of the more studied and used formula for the rotation amount equal to 1 (from TOSC 2016). Specifically, it uncovers rare cases where the assumptions of this formula do not hold. Correct formula for arbitrary rotations now opens up a larger search space where one can often find better trails. For applications, we propose automated mixed integer linear programming (MILP) modeling techniques for searching optimal RX-trails based on our exact formula. They are consequently applied to several ARX designs, including Salsa, Alzette and a small-key variant of Speck, and yield many new RX-differential distinguishers, some of them based on provably optimal trails. In order to showcase the relevance of the RX-differential analysis, we also design Malzette, a 12-round Alzette-based permutation with maliciously chosen constants, which has a practical RX-differential distinguisher, while standard differential/linear security arguments suggest sufficient security.
Last updated:  2025-03-25
Public Key Accumulators for Revocation of Non-Anonymous Credentials
Andrea Flamini, Silvio Ranise, Giada Sciarretta, Mario Scuro, Nicola Smaniotto, and Alessandro Tomasi
Digital identity wallets allow citizens to prove who they are and manage digital documents, called credentials, such as mobile driving licenses or passports. As with physical documents, secure and privacy-preserving management of the credential lifecycle is crucial: a credential can change its status from issued to valid, revoked or expired. In this paper, we focus on the analysis of cryptographic accumulators as a revocation scheme for digital identity wallet credentials. We describe the most well-established public key accumulators, and how zero-knowledge proofs can be used with accumulators for revocation of non-anonymous credentials. In addition, we assess the computational and communication costs analytically and experimentally. Our results show that they are comparable with existing schemes used in the context of certificate revocation.
Last updated:  2025-03-25
Breaking HuFu with 0 Leakage: A Side-Channel Analysis
Julien Devevey, Morgane Guerreau, Thomas Legavre, Ange Martinelli, and Thomas Ricosset
HuFu is an unstructured lattice-based signature scheme proposed during the NIST PQC standardization process. In this work, we present a side-channel analysis of HuFu's reference implementation. We first exploit the multiplications involving its two main secret matrices, recovering approximately half of their entries through a non-profiled power analysis with a few hundred traces. Using these coefficients, we reduce the dimension of the underlying LWE problem, enabling full secret key recovery with calls to a small block-sized BKZ. To mitigate this attack, we propose a countermeasure that replaces sensitive computations involving a secret matrix with equivalent operations derived solely from public elements, eliminating approximately half of the identified leakage and rendering the attack unfeasible. Finally, we perform a non-profiled power analysis targeting HuFu's Gaussian sampling procedure, recovering around 75\% of the remaining secret matrix's entries in a few hundred traces. While full key recovery remains computationally intensive, we demonstrate that partial knowledge of the secret significantly improves the efficiency of signature forgery.
Last updated:  2025-03-25
Improved Cryptanalysis of FEA-1 and FEA-2 using Square Attacks
Abhishek Kumar, Amit Kumar Chauhan, and Somitra Kumar Sanadhya
This paper presents a security analysis of the South Korean Format-Preserving Encryption (FPE) standards FEA-1 and FEA-2. In 2023, Chauhan \textit{et al.} presented the first third-party analysis of FEA-1 and FEA-2 against the square attack. The authors proposed new distinguishing attacks covering up to three rounds of FEA-1 and five rounds of FEA-2, with a data complexity of plaintexts. Additionally, using these distinguishers, they presented key recovery attacks for four rounds of FEA-1 and six rounds of FEA-2, for 192-bit and 256-bit key sizes. The complexities of both the four-round FEA-1 and six-round FEA-2 key recovery attacks are . In this work, we successfully extend the number of rounds attacked for both FEA-1 and FEA-2, using the square attack technique. Specifically, we present a four-round distinguishing attack against FEA-1 and six-round distinguishing attack against FEA-2. The data complexities of these distinguishers are plaintexts. Furthermore, we apply these distinguishers to perform key recovery attacks on five rounds of FEA-1 and seven rounds of FEA-2, targeting the 256-bit key size. The time complexities of the presented key recovery attacks are .
Last updated:  2025-03-24
BugWhisperer: Fine-Tuning LLMs for SoC Hardware Vulnerability Detection
Shams Tarek, Dipayan Saha, Sujan Kumar Saha, and Farimah Farahmandi
The current landscape of system-on-chips (SoCs) security verification faces challenges due to manual, labor-intensive, and inflexible methodologies. These issues limit the scalability and effectiveness of security protocols, making bug detection at the Register-Transfer Level (RTL) difficult. This paper proposes a new framework named BugWhisperer that utilizes a specialized, fine-tuned Large Language Model (LLM) to address these challenges. By enhancing the LLM's hardware security knowledge and leveraging its capabilities for text inference and knowledge transfer, this approach automates and improves the adaptability and reusability of the verification process. We introduce an open-source, fine-tuned LLM specifically designed for detecting security vulnerabilities in SoC designs. Our findings demonstrate that this tailored LLM effectively enhances the efficiency and flexibility of the security verification process. Additionally, we introduce a comprehensive hardware vulnerability database that supports this work and will further assist the research community in enhancing the security verification process.
Last updated:  2025-03-24
Enhancing E-Voting with Multiparty Class Group Encryption
Michele Battagliola, Giuseppe D'Alconzo, Andrea Gangemi, and Chiara Spadafora
CHide is one of the most prominent e-voting protocols, which, while combining security and efficiency, suffers from having very long encrypted credentials. In this paper, starting from CHide, we propose a new protocol, based on multiparty Class Group Encryption (CGE) instead of discrete logarithm cryptography over known order groups, achieving a computational complexity of , for votes and voters, and using a single MixNet. The homomorphic properties of CGE allow for more compact credentials while maintaining the same level of security at the cost of a small slowdown in efficiency.
Last updated:  2025-03-24
Security Analysis of Covercrypt: A Quantum-Safe Hybrid Key Encapsulation Mechanism for Hidden Access Policies
Théophile Brézot, Chloé Hébant, Paola de Perthuis, and David Pointcheval
The ETSI Technical Specification 104 015 proposes a framework to build Key Encapsulation Mechanisms (KEMs) with access policies and attributes, in the Ciphertext-Policy Attribute-Based Encryption (CP-ABE) vein. Several security guarantees and functionalities are claimed, such as pre-quantum and post-quantum hybridization to achieve security against Chosen-Ciphertext Attacks (CCA), anonymity, and traceability. In this paper, we present a formal security analysis of a more generic construction, with application to the specific Covercrypt scheme, based on the pre-quantum ECDH and the post-quantum ML-KEM KEMs. We additionally provide an open-source library that implements the ETSI standard, in Rust, with high effiency.
Last updated:  2025-03-25
Models of Kummer lines and Galois representations
Razvan Barbulescu, Damien Robert, and Nicolas Sarkis
In order to compute a multiple of a point on an elliptic curve in Weierstrass form one can use formulas in only one of the two coordinates of the points. These -only formulas can be seen as an arithmetic on the Kummer line associated to the curve. In this paper, we look at models of Kummer lines, and define an intrinsic notion of isomorphisms of Kummer lines. This allows us to give conversion formulas between Kummer models in a unified manner. When there is one rational point of -torsion on the curve, we also use Mumford's theory of theta groups to show that there are two type of models: the “symmetric” ones with respect to and the “anti-symmetric“ ones. We show how this recovers the Montgomery model and various variants of the theta model. We also classify when curves admit these different models via Galois representations and modular curves. When an elliptic curve is viewed inside a -isogeny volcano, we give a criteria to say if it has a given Kummer model based solely on its position in the volcano. We also give applications to the ECM factorization algorithm.
Last updated:  2025-03-24
That’s AmorE: Amortized Efficiency for Pairing Delegation
Adrian Perez Keilty, Diego F. Aranha, Elena Pagnin, and Francisco Rodríguez-Henríquez
Over two decades since their introduction in 2005, all major verifiable pairing delegation protocols for public inputs have been designed to ensure information-theoretic security. However, we note that a delegation protocol involving only ephemeral secret keys in the public view can achieve everlasting security, provided the server is unable to produce a pairing forgery within the protocol’s execution time. Thus, computationally bounding the adversary’s capabilities during the protocol’s execution, rather than across its entire lifespan, may be more reasonable, especially when the goal is to achieve significant efficiency gains for the delegating party. This consideration is particularly relevant given the continuously evolving computational costs associated with pairing computations and their ancillary blocks, which creates an ever-changing landscape for what constitutes efficiency in pairing delegation protocols. With the goal of fulfilling both efficiency and everlasting security, we present AmorE, a protocol equipped with an adjustable security and efficiency parameter for sequential pairing delegation, which achieves state-of-the-art amortized efficiency in terms of the number of pairing computations. For example, delegating batches of 10 pairings on the BLS48-575 elliptic curve via our protocol costs to the client, on average, less than a single scalar multiplication in G2 per delegated pairing, while still ensuring at least 40 bits of statistical security.
Last updated:  2025-03-24
Physical Design-Aware Power Side-Channel Leakage Assessment Framework using Deep Learning
Dipayan Saha, Jingbo Zhou, and Farimah Farahmandi
Power side-channel (PSC) vulnerabilities present formidable challenges to the security of ubiquitous microelectronic devices in mission-critical infrastructure. Existing side-channel assessment techniques mostly focus on post-silicon stages by analyzing power profiles of fabricated devices, suffering from low flexibility and prohibitively high cost while deploying security countermeasures. While pre-silicon PSC assessments offer flexibility and low cost, the true nature of the power signatures cannot be fully captured through RTL or gate-level design. Although physical design-level analysis provides precise power traces, collecting data is time and resource-consuming at the layout level. To address this challenge, we propose, for the first time, a fast and efficient physical design-level PSC assessment framework using a graph neural network (GNN). This framework predicts dynamic power traces for new layouts, using them to assess physical design security through metrics evaluation. Our experiments on AES-GF layout implementations achieve a tremendous 133 times speedup compared to conventional simulation-based flow without sacrificing substantial accuracy.
Last updated:  2025-03-24
Tangram: Encryption-friendly SNARK framework under Pedersen committed engines
Gweonho Jeong, Myeongkyun Moon, Geonho Yoon, Hyunok Oh, and Jihye Kim
SNARKs are frequently used to prove encryption, yet the circuit size often becomes large due to the intricate operations inherent in encryption. It entails considerable computational overhead for a prover and can also lead to an increase in the size of the public parameters (e.g., evaluation key). We propose an encryption-friendly SNARK framework, , which allows anyone to construct a system by using their desired encryption and proof system. Our approach revises existing encryption schemes to produce Pedersen-like ciphertext, including identity-based, hierarchical identity-based, and attribute-based encryption. Afterward, to prove the knowledge of the encryption, we utilize a modular manner of commit-and-prove SNARKs, which uses commitment as a `bridge'. With our framework, one can prove encryption significantly faster than proving the whole encryption within the circuit. We implement various gadgets and evaluate their performance. Our results show 12x - 3500x times better performance than encryption-in-the-circuit.
Last updated:  2025-03-24
Aegis: Scalable Privacy-preserving CBDC Framework with Dynamic Proof of Liabilities
Gweonho Jeong, Jaewoong Lee, Minhae Kim, Byeongkyu Han, Jihye Kim, and Hyunok Oh
Blockchain advancements, currency digitalization, and declining cash usage have fueled global interest in Central Bank Digital Currencies (CBDCs). The BIS states that the hybrid model, where central banks authorize intermediaries to manage distribution, is more suitable than the direct model. However, designing a CBDC for practical implementation requires careful consideration. First, the public blockchain raises privacy concerns due to transparency. While zk-SNARKs can be a solution, they can introduce significant proof generation overhead for large-scale transactions. Second, intermediaries that provide user-facing services on behalf of the central bank commonly performs Proof of Liabilities on customers' static liabilities. However, in real-world scenarios where user liabilities can arbitrarily increase or decrease, the static nature poses such as window attacks. In this paper, we propose a new smart contract-based privacy-preserving CBDC framework based on zk-SNARKs, called . our framework introduces a transaction batching technique to enhance scalability and defines a new dynamic PoL which is near-real time. We formally define the security models for our system and provide rigorous security proofs to demonstrate its robustness. To evaluate the system’s performance, we instantiate our proposed framework and measure its efficiency. The result indicates that, the end-to-end process, including proof generation for 512 transactions, takes approximately 2.8 seconds, with a gas consumption of 74,726 per user.
Last updated:  2025-03-24
Efficient Proofs of Possession for Legacy Signatures
Anna P. Y. Woo, Alex Ozdemir, Chad Sharp, Thomas Pornin, and Paul Grubbs
Digital signatures underpin identity, authenticity, and trust in modern computer systems. Cryptography research has shown that it is possible to prove possession of a valid message and signature for some public key, without revealing the message or signature. These proofs of possession work only for specially-designed signature schemes. Though these proofs of possession have many useful applications to improving security, privacy, and anonymity, they are not currently usable for widely deployed, legacy signature schemes such as RSA, ECDSA, and Ed25519. Unlocking practical proofs of possession for these legacy signature schemes requires closing a huge efficiency gap. This work brings proofs of possession for legacy signature schemes very close to practicality. Our design strategy is to encode the signature's verification algorithm as a rank-one constraint system (R1CS), then use a zkSNARK to prove knowledge of a solution. To do this efficiently we (1) design and analyze a new zkSNARK called Dorian that supports randomized computations, (2) introduce several new techniques for encoding hashes, elliptic curve operations, and modular arithmetic, (3) give a new approach that allows performing the most expensive parts of ECDSA and Ed25519 verifications outside R1CS, and (4) generate a novel elliptic curve that allows expressing Ed25519 curve operations very efficiently. Our techniques reduce R1CS sizes by up to 200 and prover times by 3-22. We can generate a 240-byte proof of possession of an RSA signature over a message the size of a typical TLS certificate (two kilobytes) in only three seconds.
Last updated:  2025-03-26
Improved Framework of Related-key Differential Neural Distinguisher and Applications to the Standard Ciphers
Rui-Tao Su, Jiong-Jiong Ren, and Shao-Zhen Chen
In recent years, the integration of deep learning with differential cryptanalysis has led to differential neural cryptanalysis, enabling efficient data-driven security evaluation of modern cryptographic algorithms. Compared to traditional differential cryptanalysis, differential neural cryptanalysis enhances the efficiency and automation of the analysis by training neural networks to automatically extract statistical features from ciphertext pairs. As research advances, neural distinguisher construction faces challenges due to the absence of a unified framework capable of cross-algorithm generalization and feature optimization. There's no systematic way to build a framework from data formats and network architectures, which limits their scalability across diverse ciphers and and their suitability for combining different cryptanalysis methods. While neural network training is data-driven, we lack interpretable explanations for the quality of differentially generated datasets. Therefore, there is an urgent need to combine cryptographic theory with data analysis methods to systematically evaluate dataset quality. This paper proposes a novel framework for constructing related-key neural differential distinguishers that integrates three core innovations: (1) multi-ciphertext multi-difference formats to enhance dataset diversity and feature coverage, (2) structural filtering for prioritizing high-probability differential paths aligned with cryptographic architectures, and (3) Deep Residual Shrinkage Network (DRSN) with adaptive thresholding to suppress noise and amplify critical differential features. By applying this framework to two standardized algorithms DES and PRESENT, our results demonstrate significant advancements. For DES, the framework achieves an 8-round related-key neural distinguisher and improves 6/7-round distinguisher accuracy by over 40%. For PRESENT, we construct the first 9-round related-key neural distinguisher, which outperforms existing neutral distinguishers in both round coverage and accuracy. Additionally, we employ kernel principal component analysis (KPCA) and K-means clustering to evaluate the quality of differential datasets for DES and PRESENT, revealing that clustering compactness strongly correlates with distinguisher performance. Furthermore, we propose a validation algorithm to verify differential combinations with cryptographic advantages from a machine learning perspective, identifying ‘good’ plaintext-key differential combinations. We apply this approach to the SIMECK algorithm, demonstrating its broad applicability. These findings validate the framework’s effectiveness in bridging cryptographic analysis with data-driven feature extraction and offer new insights for automated security evaluation of block ciphers.
Last updated:  2025-03-22
A Fiat-Shamir Transformation From Duplex Sponges
Alessandro Chiesa and Michele Orrù
The Fiat-Shamir transformation underlies numerous non-interactive arguments, with variants that differ in important ways. This paper addresses a gap between variants analyzed by theoreticians and variants implemented (and deployed) by practitioners. Specifically, theoretical analyses typically assume parties have access to random oracles with sufficiently large input and output size, while cryptographic hash functions in practice have fixed input and output sizes (pushing practitioners towards other variants). In this paper we propose and analyze a variant of the Fiat-Shamir transformation that is based on an ideal permutation of fixed size. The transformation relies on the popular duplex sponge paradigm, and minimizes the number of calls to the permutation (given the amount of information to absorb and to squeeze). Our variant closely models deployed variants of the Fiat-Shamir transformation, and our analysis provides concrete security bounds that can be used to set security parameters in practice. We additionally contribute spongefish, an open-source Rust library implementing our Fiat-Shamir transformation. The library is interoperable across multiple cryptographic frameworks, and works with any choice of permutation. The library comes equipped with Keccak and Poseidon permutations, as well as several "codecs" for re-mapping prover and verifier messages to the permutation's domain.
Last updated:  2025-03-22
zkPyTorch: A Hierarchical Optimized Compiler for Zero-Knowledge Machine Learning
Tiancheng Xie, Tao Lu, Zhiyong Fang, Siqi Wang, Zhenfei Zhang, Yongzheng Jia, Dawn Song, and Jiaheng Zhang
As artificial intelligence (AI) becomes increasingly embedded in high-stakes applications such as healthcare, finance, and autonomous systems, ensuring the verifiability of AI computations without compromising sensitive data or proprietary models is crucial. Zero-knowledge machine learning (ZKML) leverages zero-knowledge proofs (ZKPs) to enable the verification of AI model outputs while preserving confidentiality. However, existing ZKML approaches require specialized cryptographic expertise, making them inaccessible to traditional AI developers. In this paper, we introduce ZKPyTorch, a compiler that seamlessly integrates ML frameworks like PyTorch with ZKP engines like Expander, simplifying the development of ZKML. ZKPyTorch automates the translation of ML operations into optimized ZKP circuits through three key components. First, a ZKP preprocessor converts models into structured computational graphs and injects necessary auxiliary information to facilitate proof generation. Second, a ZKP-friendly quantization module introduces an optimized quantization strategy that reduces computation bit-widths, enabling efficient ZKP execution within smaller finite fields such as M61. Third, a hierarchical ZKP circuit optimizer employs a multi-level optimization framework at model, operation, and circuit levels to improve proof generation efficiency. We demonstrate ZKPyTorch effectiveness through end-to-end case studies, successfully converting VGG-16 and Llama-3 models from PyTorch, a leading ML framework, into ZKP-compatible circuits recognizable by Expander, a state-of-the-art ZKP engine. Using Expander, we generate zero-knowledge proofs for these models, achieving proof generation for the VGG-16 model in 2.2 seconds per CIFAR-10 image for VGG-16 and 150 seconds per token for Llama-3 inference, improving the practical adoption of ZKML.
Last updated:  2025-03-22
Plonkify: R1CS-to-Plonk transpiler
Pengfei Zhu
Rank-1 Constraint Systems (R1CS) and Plonk constraint systems are two commonly used circuit formats for zero-knowledge succinct non-interactive arguments of knowledge (zkSNARKs). We present Plonkify, a tool that converts a circuit in an R1CS arithmetization to Plonk, with support for both vanilla gates and custom gates. Our tool is able to convert an R1CS circuit with 229,847 constraints to a vanilla Plonk circuit with 855,296 constraints, or a jellyfish turbo Plonk circuit with 429,166 constraints, representing a and reduction in the number of constraints over the respective naïve conversions.
Last updated:  2025-03-24
JesseQ: Efficient Zero-Knowledge Proofs for Circuits over Any Field
Mengling Liu, Yang Heng, Xingye Lu, and Man Ho Au
Recent advances in Vector Oblivious Linear Evaluation (VOLE) protocols have enabled constant-round, fast, and scalable (designated-verifier) zero-knowledge proofs, significantly reducing prover computational cost. Existing protocols, such as QuickSilver [CCS’21] and LPZKv2 [CCS’22], achieve efficiency with prover costs of 4 multiplications in the extension field per AND gate for Boolean circuits, with one multiplication requiring a O(κ log κ)-bit operation where κ = 128 is the security parameter and 3-4 field multiplications per multiplication gate for arithmetic circuits over a large field. We introduce JesseQ, a suite of two VOLE-based protocols: JQv1 and JQv2, which advance state of the art. JQv1 requires only 2 scalar multiplications in an extension field per AND gate for Boolean circuits, with one scalar needing a O(κ)- bit operation, and 2 field multiplications per multiplication gate for arithmetic circuits over a large field. In terms of communication costs, JQv1 needs just 1 field element per gate. JQv2 further reduces communication costs by half at the cost of doubling the prover’s computation. Experiments show that, compared to the current state of the art, both JQv1 and JQv2 achieve at least 3.9× improvement in the online phase for Boolean circuits. For large field circuits, JQv1 has a similar performance, while JQv2 offers a 1.3× improvement. Additionally, both JQv1 and JQv2 maintain the same communication cost as the current state of the art. Notably, on the cheapest AWS instances, JQv1 can prove 9.2 trillion AND gates (or 5.8 trillion multiplication gates over a 61-bit field) for just one US dollar. JesseQ excels in applications like inner products, matrix multiplication, and lattice problems, delivering 40%- 200% performance improvements compared to QuickSilver. Additionally, JesseQ integrates seamlessly with the sublinear Batchman framework [CCS’23], enabling further efficiency gains for batched disjunctive statements.
Last updated:  2025-03-24
Chunking Attacks on File Backup Services using Content-Defined Chunking
Boris Alexeev, Colin Percival, and Yan X Zhang
Systems such as file backup services often use content-defined chunking (CDC) algorithms, especially those based on rolling hash techniques, to split files into chunks in a way that allows for data deduplication. These chunking algorithms often depend on per-user parameters in an attempt to avoid leaking information about the data being stored. We present attacks to extract these chunking parameters and discuss protocol-agnostic attacks and loss of security once the parameters are breached (including when these parameters are not setup at all, which is often available as an option). Our parameter-extraction attacks themselves are protocol-specific but their ideas are generalizable to many potential CDC schemes.
Last updated:  2025-03-21
Understanding the new distinguisher of alternant codes at degree 2
Axel Lemoine, Rocco Mora, and Jean-Pierre Tillich
Distinguishing Goppa codes or alternant codes from generic linear codes [FGO+11] has been shown to be a first step before being able to attack McEliece cryptosystem based on those codes [BMT24]. Whereas the distinguisher of [FGO+11] is only able to distinguish Goppa codes or alternant codes of rate very close to 1, in [CMT23a] a much more powerful (and more general) distinguisher was proposed. It is based on computing the Hilbert series of a Pfaffian modeling. The distinguisher of [FGO+11] can be interpreted as computing . Computing still gives a polynomial time distinguisher for alternant or Goppa codes and is apparently able to distinguish Goppa or alternant codes in a much broader regime of rates as the one of [FGO+11]. However, the scope of this distinguisher was unclear. We give here a formula for corresponding to generic alternant codes when the field size satisfies , where r is the degree of the alternant code. We also show that this expression for provides a lower bound in general. The value of corresponding to random linear codes is known and this yields a precise description of the new regime of rates that can be distinguished by this new method. This shows that the new distinguisher improves significantly upon the one given in [FGO+11].
Last updated:  2025-03-21
Lattice-based extended withdrawable signatures
Ramses Fernandez
This article presents an extension of the work performed by Liu, Baek and Susilo on extended withdrawable signatures to lattice-based constructions. We introduce a general construction, and provide security proofs for this proposal. As instantiations, we provide concrete construction for extended withdrawable signature schemes based on Dilithium and HAETAE.
Last updated:  2025-03-21
On the Anonymity in "A Practical Lightweight Anonymous Authentication and Key Establishment Scheme for Resource-Asymmetric Smart Environments"
Zhengjun Cao and Lihua Liu
We show that the anonymous authentication and key establishment scheme [IEEE TDSC, 20(4), 3535-3545, 2023] fails to keep user anonymity, not as claimed. We also suggest a method to fix it.
Last updated:  2025-03-21
VeRange: Verification-efficient Zero-knowledge Range Arguments with Transparent Setup for Blockchain Applications and More
Yue Zhou and Sid Chi-Kin Chau
Zero-knowledge range arguments are a fundamental cryptographic primitive that allows a prover to convince a verifier of the knowledge of a secret value lying within a predefined range. They have been utilized in diverse applications, such as confidential transactions, proofs of solvency and anonymous credentials. Range arguments with a transparent setup dispense with any trusted setup to eliminate security backdoor and enhance transparency. They are increasingly deployed in diverse decentralized applications on blockchains. One of the major concerns of practical deployment of range arguments on blockchains is the incurred gas cost and high computational overhead associated with blockchain miners. Hence, it is crucial to optimize the verification efficiency in range arguments to alleviate the deployment cost on blockchains and other decentralized platforms. In this paper, we present VeRange with several new zero-knowledge range arguments in the discrete logarithm setting, requiring only group exponentiations for verification, where is the number of bits to represent a range and is a small constant, making them concretely efficient for blockchain deployment with a very low gas cost. Furthermore, VeRange is aggregable, allowing a prover to simultaneously prove range arguments in a single argument, requiring only group exponentiations for verification. We deployed {\tt VeRange} on Ethereum and measured the empirical gas cost, achieving the fastest verification runtime and the lowest gas cost among the discrete-logarithm-based range arguments in practice.
Last updated:  2025-03-21
SoK: Fully-homomorphic encryption in smart contracts
Daniel Aronoff, Adithya Bhat, Panagiotis Chatzigiannis, Mohsen Minaei, Srinivasan Raghuraman, Robert M. Townsend, and Nicolas Xuan-Yi Zhang
Blockchain technology and smart contracts have revolutionized digital transactions by enabling trustless and decentralized exchanges of value. However, the inherent transparency and immutability of blockchains pose significant privacy challenges. On-chain data, while pseudonymous, is publicly visible and permanently recorded, potentially leading to the inadvertent disclosure of sensitive information. This issue is particularly pronounced in smart contract applications, where contract details are accessible to all network participants, risking the exposure of identities and transactional details. To address these privacy concerns, there is a pressing need for privacy-preserving mechanisms in smart contracts. To showcase this need even further, in our paper we bring forward advanced use-cases in economics which only smart contracts equipped with privacy mechanisms can realize, and show how fully-homomorphic encryption (FHE) as a privacy enhancing technology (PET) in smart contracts, operating on a public blockchain, can make possible the implementation of these use-cases. Furthermore, we perform a comprehensive systematization of FHE-based approaches in smart contracts, examining their potential to maintain the confidentiality of sensitive information while retaining the benefits of smart contracts, such as automation, decentralization, and security. After we evaluate these existing FHE solutions in the context of the use-cases we consider, we identify open problems, and suggest future research directions to enhance privacy in blockchain smart contracts.
Last updated:  2025-03-20
AI Agents in Cryptoland: Practical Attacks and No Silver Bullet
Atharv Singh Patlan, Peiyao Sheng, S. Ashwin Hebbar, Prateek Mittal, and Pramod Viswanath
The integration of AI agents with Web3 ecosystems harnesses their complementary potential for autonomy and openness, yet also introduces underexplored security risks, as these agents dynamically interact with financial protocols and immutable smart contracts. This paper investigates the vulnerabilities of AI agents within blockchain-based financial ecosystems when exposed to adversarial threats in real-world scenarios. We introduce the concept of context manipulation -- a comprehensive attack vector that exploits unprotected context surfaces, including input channels, memory modules, and external data feeds. Through empirical analysis of ElizaOS, a decentralized AI agent framework for automated Web3 operations, we demonstrate how adversaries can manipulate context by injecting malicious instructions into prompts or historical interaction records, leading to unintended asset transfers and protocol violations which could be financially devastating. Our findings indicate that prompt-based defenses are insufficient, as malicious inputs can corrupt an agent's stored context, creating cascading vulnerabilities across interactions and platforms. This research highlights the urgent need to develop AI agents that are both secure and fiduciarily responsible.
Last updated:  2025-03-20
Deniable Secret Sharing
Ran Canetti, Ivan Damgård, Sebastian Kolby, Divya Ravi, and Sophia Yakoubov
We introduce deniable secret sharing (DSS), which, analogously to deniable encryption, enables shareholders to produce fake shares that are consistent with a target “fake message”, regardless of the original secret. In contrast to deniable encryption, in a DSS scheme an adversary sees multiple shares, some of which might be real, and some fake. This makes DSS a more difficult task, especially in situations where the fake shares need to be generated by individual shareholders, without coordination with other shareholders. We define several desirable properties for DSS, and show both positive and negative results for each. The strongest property is fake hiding, which is a natural analogy of deniability for encryption: given a complete set of shares, an adversary cannot determine whether any shares are fake. We show a construction based on Shamir secret sharing that achieves fake hiding as long as (1) the fakers are qualified (number or more), and (2) the set of real shares which the adversary sees is unqualified. Next we show a construction based on indistinguishability obfuscation that relaxes condition (1) and achieves fake hiding even when the fakers are unqualified (as long as they comprise more than half of the shareholders). We also extend the first construction to provide the weaker property of faker anonymity for all thresholds. (Faker anonymity requires that given some real shares and some fake shares, an adversary should not be able to tell which are fake, even if it can tell that some fake shares are present.) All of these constructions require the fakers to coordinate in order to produce fake shares. On the negative side, we first show that fake hiding is unachievable when the fakers are a minority, even if the fakers coordinate. Further, if the fakers do not coordinate, then even faker anonymity is unachievable as soon as (namely the reconstruction threshold is smaller than the number of parties).
Last updated:  2025-03-20
Ring Referral: Efficient Publicly Verifiable Ad hoc Credential Scheme with Issuer and Strong User Anonymity for Decentralized Identity and More
The-Anh Ta, Xiangyu Hui, and Sid Chi-Kin Chau
In this paper, we present a ring referral scheme, by which a user can publicly prove her knowledge of a valid signature for a private message that is signed by one of an ad hoc set of authorized issuers, without revealing the signing issuer. Ring referral is a natural extension to traditional ring signature by allowing a prover to obtain a signature from a third-party signer. Our scheme is useful for diverse applications, such as certificate-hiding decentralized identity, privacy-enhancing federated authentication, anonymous endorsement and privacy -preserving referral marketing. In contrast with prior issuer-hiding credential schemes, our ring referral scheme supports more distinguishing features, such as (1) public verifiability over an ad hoc ring, (2) strong user anonymity against collusion among the issuers and verifier to track a user, (3) transparent setup, (4) message hiding, (5) efficient multi-message logarithmic verifiability, (6) threshold scheme for requiring multiple co-signing issuers. Finally, we implemented our ring referral scheme with extensive empirical evaluation
Last updated:  2025-03-19
Assembly optimised Curve25519 and Curve448 implementations for ARM Cortex-M4 and Cortex-M33
Emil Lenngren
Since the introduction of TLS 1.3, which includes X25519 and X448 as key exchange algorithms, one could expect that high efficient implementations for these two algorithms become important as the need for power efficient and secure IoT devices increases. Assembly optimised X25519 implementations for low end processors such as Cortex-M4 have existed for some time but there has only been scarce progress on optimised X448 implementations for low end ARM processors such as Cortex-M4 and Cortex-M33. This work attempts to fill this gap by demonstrating how to design a constant time X448 implementation that runs in 2 273 479 cycles on Cortex-M4 and 2 170 710 cycles on Cortex-M33 with DSP. An X25519 implementation is also presented that runs in 441 116 cycles on Cortex-M4 and 411 061 cycles on Cortex-M33 with DSP.
Last updated:  2025-03-19
New Techniques for Analyzing Fully Secure Protocols: A Case Study of Solitary Output Secure Computation
Bar Alon, Benjamin Saldman, and Eran Omri
Solitary output secure computation allows a set of mutually distrustful parties to compute a function of their inputs such that only a designated party obtains the output. Such computations should satisfy various security properties such as correctness, privacy, independence of inputs, and even guaranteed output delivery. We are interested in full security, which captures all of these properties. Solitary output secure computation has been the study of many papers in recent years, as it captures many real-world scenarios. A systematic study of fully secure solitary output computation was initiated by Halevi et al. [TCC 2019]. They showed several positive and negative results, however, they did not characterize what functions can be computed with full security. Alon et al. [EUROCRYPT 2024] considered the special, yet important case, of three parties with Boolean output, where the output-receiving party has no input. They completely characterized the set of such functionalities that can be computed with full security. Interestingly, they also showed a possible connection with the seemingly unrelated notion of fairness, where either all parties obtain the output or none of them do. We continue this line of investigation and study the set of three-party solitary output Boolean functionalities where all parties hold private inputs. Our main contribution is defining and analyzing a family of ``special-round'' protocols, which generalizes the set of previously proposed protocols. Our techniques allow us to identify which special-round protocols securely compute a given functionality (if such exists). Interestingly, our analysis can also be applied in the two-party setting (where fairness is an issue). Thus, we believe that our techniques may prove useful in additional settings and deepen our understanding of the connections between the various settings.
Last updated:  2025-03-19
Division polynomials for arbitrary isogenies
Katherine E. Stange
Following work of Mazur-Tate and Satoh, we extend the definition of division polynomials to arbitrary isogenies of elliptic curves, including those whose kernels do not sum to the identity. In analogy to the classical case of division polynomials for multiplication-by-n, we demonstrate recurrence relations, identities relating to classical elliptic functions, the chain rule describing relationships between division polynomials on source and target curve, and generalizations to higher dimension (i.e., elliptic nets).
Last updated:  2025-03-19
Masking-Friendly Post-Quantum Signatures in the Threshold-Computation-in-the-Head Framework
Thibauld Feneuil, Matthieu Rivain, and Auguste Warmé-Janville
Side-channel attacks pose significant threats to cryptographic implementations, which require the inclusion of countermeasures to mitigate these attacks. In this work, we study the masking of state-of-the-art post-quantum signatures based on the MPC-in-the-head paradigm. More precisely, we focus on the recent threshold-computation-in-the-head (TCitH) framework that applies to some NIST candidates of the post-quantum standardization process. We first provide an analysis of side-channel attack paths in the signature algorithms based on the TCitH framework. We then explain how to apply standard masking to achieve a -probing secure implementation of such schemes, with performance scaling in , for the masking order. Our main contribution is to introduce different ways to tweak those signature schemes towards their masking friendliness. While the TCitH framework comes in two variants, the GGM variant and the Merkle tree variant, we introduce a specific tweak for each of these variants. These tweaks allow us to achieve complexities of and at the cost of non-constant signature size, caused by the inclusion of additional seeds in the signature. We also propose a third tweak that takes advantage of the threshold secret sharing used in TCitH. With the right choice of parameters, we show how, by design, some parts of the TCitH algorithms satisfy probing security without additional countermeasures. While this approach can substantially reduce the cost of masking in some part of the signature algorithm, it degrades the soundness of the core zero-knowledge proof, hence slightly increasing the size of the signature. We analyze the complexity of the masked implementations of our tweaked TCitH signatures and provide benchmarks on a RISC-V platform with built-in hash accelerator. We use a modular benchmarking approach, allowing to estimate the performance of diverse signature instances with different tweaks and parameters. Our results illustrate how the different variants scale for an increasing masking order. For instance, for a masking order , we obtain signatures of around kB that run in second on a the target RISC-V CPU with a MHz frequency. This is to be compared with the seconds required by the original signature scheme masked at the same order on the same platform. For a masking order , we obtain a signature of kB running in second, to be compared with seconds for the stardard masked signature. Finally, we discuss the extension of our techniques to signature schemes based on the VOLE-in-the-Head framework, which shares similarities with the GGM variant of TCitH. One key takeaway of our work is that the Merkle tree variant of TCitH is inherently more amenable to efficient masking than frameworks based on GGM trees, such as TCitH-GGM or VOLE-in-the-Head.
Last updated:  2025-03-19
mid-pSquare: Leveraging the Strong Side-Channel Security of Prime-Field Masking in Software
Brieuc Balon, Lorenzo Grassi, Pierrick Méaux, Thorben Moos, François-Xavier Standaert, and Matthias Johann Steiner
Efficiently protecting embedded software implementations of standard symmetric cryptographic primitives against side-channel attacks has been shown to be a considerable challenge in practice. This is, in part, due to the most natural countermeasure for such ciphers, namely Boolean masking, not amplifying security well in the absence of sufficient physical noise in the measurements. So-called prime-field masking has been demonstrated to provide improved theoretical guarantees in this context, and the Feistel for Prime Masking (FPM) family of Tweakable Block Ciphers (TBCs) has been recently introduced (Eurocrypt’24) to efficiently leverage these advantages. However, it was so far only instantiated for and empirically evaluated in a hardware implementation context, by using a small (7-bit) prime modulus. In this paper, we build on the theoretical incentive to increase the field size to obtain improved side-channel (Eurocrypt’24) and fault resistance (CHES’24), as well as on the practical incentive to instantiate an FPM instance with optimized performance on 32-bit software platforms. We introduce mid-pSquare for this purpose, a lightweight TBC operating over a 31-bit Mersenne prime field. We first provide an in-depth black box security analysis with a particular focus on algebraic attacks – which, contrary to the cryptanalysis of instances over smaller primes, are more powerful than statistical ones in our setting. We also design a strong tweak schedule to account for potential related-tweak algebraic attacks which, so far, are almost unknown in the literature. We then demonstrate that mid-pSquare implementations deliver very competitive performance results on the target platform compared to analogous binary TBCs regardless of masked or unmasked implementation (we use fix-sliced SKINNY for our comparisons). Finally, we experimentally establish the side-channel security improvements that masked mid-pSquare can lead to, reaching unmatched resistance to profiled horizontal attacks on lightweight 32-bit processors (ARM Cortex-M4).
Last updated:  2025-03-19
Secret-Sharing Schemes for General Access Structures: An Introduction
Amos Beimel
A secret-sharing scheme is a method by which a dealer distributes shares to parties such that only authorized subsets of parties can reconstruct the secret. Secret-sharing schemes are an important tool in cryptography and they are used as a building block in many secure protocols, e.g., secure multiparty computation protocols for arbitrary functionalities, Byzantine agreement, threshold cryptography, access control, attribute-based encryption, and weighted cryptography (e.g., stake-based blockchains). The collection of authorized sets that should be able to reconstruct the secret is called an access structure. The main goal in secret sharing is to minimize the share size in a scheme realizing an access structure. In most of this monograph, we will consider secret-sharing schemes with information-theoretic security, i.e., schemes in which unauthorized sets cannot deduce any information on the secret even when the set has unbounded computational power. Although research on secret-sharing schemes has been conducted for nearly 40 years, we still do not know what the optimal share size required to realize an arbitrary 𝑛-party access structure is; there is an exponential gap between the best known upper bounds and the best known lower bounds on the share size. In this monograph, we review the most important topics on secret sharing. We start by discussing threshold secret-sharing schemes in which the authorized sets are all sets whose size is at least some threshold 𝑡; these are the most useful secret-sharing schemes. We then describe efficient constructions of secret-sharing schemes for general access structures; in particular, we describe constructions of linear secret-sharing schemes from monotone formulas and monotone span programs and provide a simple construction for arbitrary 𝑛-party access structures with share size 2𝑐𝑛 for some constant 𝑐 < 1. To demonstrate the importance of secret-sharing schemes, we show how they are used to construct secure multi-party computation protocols for arbitrary functions. We next discuss the main problem with known secret-sharing schemes – the large share size, which is exponential in the number of parties. We present the known lower bounds on the share size. These lower bounds are fairly weak, and there is a big gap between the lower and upper bounds. For linear secret-sharing schemes, which are a class of schemes based on linear algebra that contains most known schemes, exponential lower bounds on the share size are known. We then turn to study ideal secret-sharing schemes in which the share size of each party is the same as the size of the secret; these schemes are the most efficient secret-sharing schemes. We describe a characterization of the access structures that have ideal schemes via matroids. Finally, we discuss computational secret-sharing schemes, i.e., secret-sharing schemes that are secure only against polynomial-time adversaries. We show computational schemes for monotone and non-monotone circuits; these constructions are more efficient than the best known schemes with information-theoretic security.
Last updated:  2025-03-19
Designated-Verifier SNARGs with One Group Element
Gal Arnon, Jesko Dujmovic, and Yuval Ishai
We revisit the question of minimizing the proof length of designated-verifier succinct non-interactive arguments (dv-SNARGs) in the generic group model. Barta et al. (Crypto 2020) constructed such dv-SNARGs with inverse-polynomial soundness in which the proof consists of only two group elements. For negligible soundness, all previous constructions required a super-constant number of group elements. We show that one group element suffices for negligible soundness. Concretely, we obtain dv-SNARGs (in fact, dv-SNARKs) with soundness where proofs consist of one element of a generic group and additional bits. In particular, the proof length in group elements is constant even with soundness error. In more concrete terms, compared to the best known SNARGs using bilinear groups, we get dv-SNARGs with roughly x shorter proofs (with soundness at a -bit security level). We are not aware of any practically feasible proof systems that achieve similar succinctness, even fully interactive or heuristic ones. Our technical approach is based on a novel combination of techniques for trapdoor hash functions and group-based homomorphic secret sharing with linear multi-prover interactive proofs.
Last updated:  2025-03-21
Don't Use It Twice: Reloaded! On the Lattice Isomorphism Group Action
Alessandro Budroni, Jesús-Javier Chi-Domínguez, and Ermes Franch
Group actions have emerged as a powerful framework in post-quantum cryptography, serving as the foundation for various cryptographic primitives. The Lattice Isomorphism Problem (LIP) has recently gained attention as a promising hardness assumption for designing quantum-resistant protocols. Its formulation as a group action has opened the door to new cryptographic applications, including a commitment scheme and a linkable ring signature. In this work, we analyze the security properties of the LIP group action and present new findings. Specifically, we demonstrate that it fails to satisfy the weak unpredictability and weak pseudorandomness properties when the adversary has access to as few as three and two instances with the same secret, respectively. This significantly improves upon prior analysis by Budroni et al. (PQCrypto 2024). As a direct consequence of our findings, we reveal a vulnerability in the linkable ring signature scheme proposed by Khuc et al. (SPACE 2024), demonstrating that the hardness assumption underlying the linkable anonymity property does not hold.
Last updated:  2025-03-19
Compressed Sigma Protocols: New Model and Aggregation Techniques
Yuxi Xue, Tianyu Zheng, Shang Gao, Bin Xiao, and Man Ho Au
Sigma protocols (-protocols) provide a foundational paradigm for constructing secure algorithms in privacy-preserving applications. To enhance efficiency, several extended models [BG18], [BBB+18], [AC20] incorporating various optimization techniques have been proposed as ``replacements'' for the original -protocol. However, these models often lack the expressiveness needed to handle complex relations and hinder designers from applying appropriate instantiation and optimization strategies. In this paper, we introduce a novel compressed -protocol model that effectively addresses these limitations by providing concrete constructions for relations involving non-linear constraints. Our approach is sufficiently expressive to encompass a wide range of relations. Central to our model is the definition of doubly folded commitments, which, along with a proposed Argument of Knowledge, generalizes the compression and amortization processes found in previous models. Despite the ability to express more relations, this innovation also provides a foundation to discuss a general aggregation technique, optimizing the proof size of instantiated schemes. To demonstrate the above statements, we provide a brief review of several existing protocols that can be instantiated using our model to demonstrate the versatility of our construction. We also present use cases where our generalized model enhances applications traditionally considered ``less compact'', such as binary proofs [BCC+15] and -out-of- proofs [ACF21]. In conclusion, our new model offers a more efficient and expressive alternative to the current use of -protocols, paving the way for broader applicability and optimization in cryptographic applications.
Last updated:  2025-03-19
On Extractability of the KZG Family of Polynomial Commitment Schemes
Juraj Belohorec, Pavel Dvořák, Charlotte Hoffmann, Pavel Hubáček, Kristýna Mašková, and Martin Pastyřík
We present a unifying framework for proving the knowledge-soundness of KZG-like polynomial commitment schemes, encompassing both univariate and multivariate variants. By conceptualizing the proof technique of Lipmaa, Parisella, and Siim for the univariate KZG scheme (EUROCRYPT 2024), we present tools and falsifiable hardness assumptions that permit black-box extraction of the multivariate KZG scheme. Central to our approach is the notion of a canonical Proof-of-Knowledge of a Polynomial (PoKoP) of a polynomial commitment scheme, which we use to capture the extractability notion required in constructions of practical zk-SNARKs. We further present an explicit polynomial decomposition lemma for multivariate polynomials, enabling a more direct analysis of interpolating extractors and bridging the gap between univariate and multivariate commitments. Our results provide the first standard-model proofs of extractability for the multivariate KZG scheme and many of its variants under falsifiable assumptions.
Last updated:  2025-03-19
Server-Aided Anonymous Credentials
Rutchathon Chairattana-Apirom, Franklin Harding, Anna Lysyanskaya, and Stefano Tessaro
This paper formalizes the notion of server-aided anonymous credentials (SAACs), a new model for anonymous credentials (ACs) where, in the process of showing a credential, the holder is helped by additional auxiliary information generated in an earlier (anonymous) interaction with the issuer. This model enables lightweight instantiations of 'publicly verifiable and multi-use' ACs from pairing-free elliptic curves, which is important for compliance with existing national standards. A recent candidate for the EU Digital Identity Wallet, BBS#, roughly adheres to the SAAC model we have developed; however, it lacks formal security definitions and proofs. In this paper, we provide rigorous definitions of security for SAACs, and show how to realize SAACs from the weaker notion of keyed-verification ACs (KVACs) and special types of oblivious issuance protocols for zero-knowledge proofs. We instantiate this paradigm to obtain two constructions: one achieves statistical anonymity with unforgeability under the Gap -SDH assumption, and the other achieves computational anonymity and unforgeability under the DDH assumption.
Last updated:  2025-03-19
Optimizing AES-GCM on ARM Cortex-M4: A Fixslicing and FACE-Based Approach
Hyunjun Kim and Hwajeong Seo
The Advanced Encryption Standard (AES) in Galois/Counter Mode (GCM) delivers both confidentiality and integrity yet poses performance and security challenges on resource-limited microcontrollers. In this paper, we present an optimized AES-GCM implementation for the ARM Cortex-M4 that combines Fixslicing AES with the FACE (Fast AES-CTR Encryption) strategy, significantly reducing redundant computations in AES-CTR. We further examine two GHASH implementations—a 4-bit Table-based approach and a Karatsuba-based constant-time variant—to balance speed, memory usage, and resistance to timing attacks. Our evaluations on an STM32F4 microcontroller show that Fixslicing+FACE reduces AES-128 GCTR cycle counts by up to 19.41\%, while the Table-based GHASH achieves nearly double the speed of its Karatsuba counterpart. These results confirm that, with the right mix of bitslicing optimizations, counter-mode caching, and lightweight polynomial multiplication, secure and efficient AES-GCM can be attained even on low-power embedded devices.
Last updated:  2025-03-28
VeriSSO: A Privacy-Preserving Legacy-Compatible Single Sign-On Protocol Using Verifiable Credentials
Ifteher Alom, Sudip Bhujel, and Yang Xiao
Single Sign-On (SSO) is a popular authentication mechanism enabling users to access multiple web services with a single set of credentials. Despite its convenience, SSO faces outstanding privacy challenges. The Identity Provider (IdP) represents a single point of failure and can track users across different Relying Parties (RPs). Multiple colluding RPs may track users through common identity attributes. In response, anonymous credential-based SSO solutions have emerged to offer privacy-preserving authentication without revealing unnecessary user information. However, these solutions face two key challenges: supporting RP authentication without compromising user unlinkability and maintaining compatibility with the predominant Authorization Code Flow (ACF). This paper introduces VeriSSO, a novel SSO protocol based on verifiable credentials (VC) that supports RP authentication while preserving privacy and avoiding single points of failure. VeriSSO employs an independent authentication server committee to manage RP and user authentication, binding RP authentication with credential-based anonymous user authentication. This approach ensures user unlinkability while supporting RP authentication and allows RPs to continue using their existing verification routines with identity tokens as in the ACF workflow. VeriSSO's design also supports lawful de-anonymization, ensuring user accountability for misbehavior during anonymity. Experimental evaluations of VeriSSO demonstrate its efficiency and practicality, with authentication processes completed within 100 milliseconds.
Last updated:  2025-03-21
Adaptive Adversaries in Byzantine-Robust Federated Learning: A survey.
Jakub Kacper Szeląg, Ji-Jian Chin, and Sook-Chin Yip
Federated Learning (FL) has recently emerged as one of the leading paradigms for collaborative machine learning, serving as a tool for model computation without a need to expose one’s privately stored data. However, despite its advantages, FL systems face severe challenges within its own security solutions that address both privacy and robustness of models. This paper focuses on vulnerabilities within the domain of FL security with emphasis on model-robustness. Identifying critical gaps in current defences, particularly against adaptive adversaries which modify their attack strategies after being disconnected and rejoin systems to continue attacks. To our knowledge, other surveys in this domain do not cover the concept of adaptive adversaries, this along with the significance of their impact serves as the main motivation for this work. Our contributions are fivefold: (1) we present a comprehensive overview of FL systems, presenting a complete summary of its fundamental building blocks, (2) an extensive overview of existing vulnerabilities that target FL systems in general, (3) highlight baseline attack vectors as well as state-of-the-art approaches to development of attack methods and defence mechanisms, (4) introduces a novel baseline method of attack leveraging reconnecting malicious clients, and (5) identifies future research directions to address and counter adaptive attacks. We demonstrate through experimental results that existing baseline secure aggregation rules used in other works for comparison such as Krum and Trimmed Mean are insufficient against those attacks. Further, works improving upon those algorithms do not address this concern either. Our findings serve as a basis for redefining FL security paradigms in the direction of adaptive adversaries.
Last updated:  2025-03-18
Almost Optimal KP and CP-ABE for Circuits from Succinct LWE
Hoeteck Wee
We present almost-optimal lattice-based attribute-based encryption (ABE) and laconic function evaluation (LFE). For depth d circuits over -bit inputs, we obtain * key-policy (KP) and ciphertext-policy (CP) ABE schemes with ciphertext, secret key and public key size ; * LFE with ciphertext size as well as CRS and digest size ; where O(·) hides poly(d, λ) factors. The parameter sizes are optimal, up to the poly(d) dependencies. The security of our schemes rely on succinct LWE (Wee, CRYPTO 2024). Our results constitute a substantial improvement over the state of the art; none of our results were known even under the stronger evasive LWE assumption.
Last updated:  2025-03-18
Towards Building Scalable Constant-Round MPC from Minimal Assumptions via Round Collapsing
Vipul Goyal, Junru Li, Rafail Ostrovsky, and Yifan Song
In this work, we study the communication complexity of constant-round secure multiparty computation (MPC) against a fully malicious adversary and consider both the honest majority setting and the dishonest majority setting. In the (strong) honest majority setting (where for a constant ), the best-known result without relying on FHE is given by Beck et al. (CCS 2023) based on the LPN assumption that achieves communication, where is the security parameter and the achieved communication complexity is independent of the number of participants. In the dishonest majority setting, the best-known result is achieved by Goyal et al. (ASIACRYPT 2024), which requires bits of communication and is based on the DDH and LPN assumptions. In this work, we achieve the following results: (1) For any constant , we give the first constant-round MPC in the dishonest majority setting for corruption threshold with communication assuming random oracles and oblivious transfers, where is the circuit depth. (2) We give the first constant-round MPC in the standard honest majority setting (where ) with communication only assuming random oracles. Unlike most of the previous constructions of constant-round MPCs that are based on multiparty garbling, we achieve our result by letting each party garble his local computation in a non-constant-round MPC that meets certain requirements. We first design a constant-round MPC that achieves communication assuming random oracles in the strong honest majority setting of . Then, we combine the party virtualization technique and the idea of MPC-in-the-head to boost the corruption threshold to for any constant assuming oblivious transfers to achieve our first result. Finally, our second result is obtained by instantiating oblivious transfers using a general honest-majority MPC and the OT extension technique built on random oracles.
Last updated:  2025-03-18
Scalable Zero-knowledge Proofs for Non-linear Functions in Machine Learning
Meng Hao, Hanxiao Chen, Hongwei Li, Chenkai Weng, Yuan Zhang, Haomiao Yang, and Tianwei Zhang
Zero-knowledge (ZK) proofs have been recently explored for the integrity of machine learning (ML) inference. However, these protocols suffer from high computational overhead, with the primary bottleneck stemming from the evaluation of non-linear functions. In this paper, we propose the first systematic ZK proof framework for non-linear mathematical functions in ML using the perspective of table lookup. The key challenge is that table lookup cannot be directly applied to non-linear functions in ML since it would suffer from inefficiencies due to the intolerably large table. Therefore, we carefully design several important building blocks, including digital decomposition, comparison, and truncation, such that they can effectively utilize table lookup with a quite small table size while ensuring the soundness of proofs. Based on these blocks, we implement complex mathematical operations and further construct ZK proofs for current mainstream non-linear functions in ML such as ReLU, sigmoid, and normalization. The extensive experimental evaluation shows that our framework achieves 50 ∼ 179× runtime improvement compared to the state-of-the-art work, while maintaining a similar level of communication efficiency.
Last updated:  2025-03-17
On the Estonian Internet Voting System, IVXV, SoK and Suggestions
Shymaa M. Arafat
The Estonian i-voting experience is probably the richest to analyze; a country that is considered a pioneer in digitizing both the government and private sector since 2001, and hence digital voting in 2005, yet there are still some complaints submitted, critics and remarks to consider about the IVXV system. In this paper, we introduce a Systemization of Knowledge of the Estonian IVXV i-voting system and propose some added security enhancements. The presented SoK includes applications implemented by election observers in 2023 & 2024 elections, which, to our knowledge, has never been mentioned and/or analyzed in the academic literature before. The paper also updates the general knowledge about an extra right given to auditors (but not observers) in the June 2024 European election, recent complaints, and about newer solutions suggested by academia in 2024. Finally, we discuss the current system status in 2024 EP elections and propose our own suggestions to some problems stated in the OSCE-ODIHR 2023 report that are still there.
Last updated:  2025-03-17
Capitalized Bitcoin Fork for National Strategic Reserve
Charanjit Singh Jutla and Arnab Roy
We describe a strategy for a nation to acquire majority stake in Bitcoin with zero cost to the taxpayers of the nation. We propose a bitcoin fork sponsored by the the government of the nation, and backed by the full faith of treasury of the nation, such that the genesis block of this fork attributes fixed large amount of new kinds of tokens called strategic-reserve-bitcoin tokens (SRBTC) to the nation's treasury, which is some multiple (greater than one) of the amount of all Bitcoin tokens (BTC) currently set in the Bitcoin protocol. The BTC tokens continue to be treated 1:1 as SRBTC tokens in the forked chain. The only capital that the nation puts up is its explicit guarantee that the SRBTC tokens of the fork will be accepted as legal tender, such as payment of tax to the treasury. We suggest that this is a better approach than starting a new blockchain that mimics Bitcoin, as it will be partially fair to the current holders of Bitcoin, which in turn would make it competitive in the space of other such possible forks by other powerful nations. Moreover, such a proof-of-work blockchain retains its egalitarian and democratic nature, which competitively deters the said nation from any dilutions in the future. To justify our proposal we setup three competitive games, and show strategies for different players that are in Nash equilibrium and which throw further light on these claims. In particular, 1. The first game shows that if the only two alternatives for investors is to invest in BTC or SRBTC, then individuals who have a certain fraction of their wealth already invested in BTC, will invest new money in the original chain, whereas the individuals whose current wealth invested in BTC is less than the fraction will invest new money in SRBTC. 2. The second game shows that if there is a third alternative for investment, which is cash that is losing value (inflation-adjusted) by a percentage , then the investors who had less than fraction of wealth in Bitcoin, will invest in SRBTC only if the dilution of SRBTC is large enough (as an increasing (linear) function of ). Here by dilution we mean the new SRBTC tokens that are allowed to be eventually mined in the fork. 3. The third game shows that investors would prefer a fork of Bitcoin over a replica of Bitcoin that doesn't value original BTC, when both are available and even if both are backed similarly by one or more nations.
Last updated:  2025-03-17
Ideal Compartmented Secret Sharing Scheme Based on the Chinese Remainder Theorem for Polynomial Rings
Alexandru-Valentin Basaga and Sorin Iftene
A secret sharing scheme starts with a secret and then derives from it certain shares (or shadows) which are distributed to users. The secret may be recovered only by certain predetermined groups. In case of compartmented secret sharing, the set of users is partitioned into compartments and the secret can be recovered only if the number of participants from any compartment is greater than or equal to a fixed compartment threshold and the total number of participants is greater than or equal to a global threshold. In this paper we use the Chinese Remainder Theorem for Polynomial Rings in order to construct an ideal compartmented secret sharing scheme, inspired by the work from [20].
Last updated:  2025-03-17
Max Bias Analysis: A New Approach on Computing the Entropy of Free Ring-Oscillator
Nicolas David and Eric Garrido
This work introduce a new approach called Max bias analysis for the entropy computation of structures of Free Ring Oscillator-based Physical Random Number Generator. It employs the stochastic model based on the well-established Wiener process, specifically adapted to only capture thermal noise contributions while accounting for potential non-zero bias in the duty cycle. Our analysis is versatile, applicable to combinations of multiple sampled Ring Oscillator (RO) filtering by any function. The entropy computation takes as inputs the parameters of the thermal stochastic model and delivers directly a proven bound for both Shannon entropy and min-entropy to fulfill AIS31 and NIST SP 800-90 B. As an example, we apply the new methodology on an enhanced structure of TRNG combining several free-running Ring Oscillators filtered by a vectorial function built from a linear error correcting code that optimizes the functional performance in terms of [entropy rate/silicium area used] and that maintains the mathematical proof of the entropy lower bound as simple as possible.
Last updated:  2025-03-21
Registration-Based Encryption in the Plain Model
Jesko Dujmovic, Giulio Malavolta, and Wei Qi
Registration-based encryption (RBE) is a recently developed alternative to identity-based encryption, that mitigates the well-known key-escrow problem by letting each user sample its own key pair. In RBE, the key authority is substituted by a key curator, a completely transparent entity whose only job is to reliably aggregate users' keys. However, one limitation of all known RBE scheme is that they all rely on one-time trusted setup, that must be computed honestly. In this work, we ask whether this limitation is indeed inherent and we initiate the systematic study of RBE in the plain model, without any common reference string. We present the following main results: - (Definitions) We show that the standard security definition of RBE is unachievable without a trusted setup and we propose a slight weakening, where one honest user is required to be registered in the system. - (Constructions) We present constructions of RBE in the plain model, based on standard cryptographic assumptions. Along the way, we introduce the notions of non-interactive witness indistinguishable (NIWI) proofs secure against chosen statements attack and re-randomizable RBE, which may be of independent interest. A major limitation of our constructions, is that users must be updated upon every new registration. - (Lower Bounds) We show that this limitation is in some sense inherent. We prove that any RBE in the plain model that satisfies a certain structural requirement, which holds for all known RBE constructions, must update all but a vanishing fraction of the users, upon each new registration. This is in contrast with the standard RBE settings, where users receive a logarithmic amount of updates throughout the lifetime of the system.
Last updated:  2025-03-20
Quantum Key-Recovery Attacks on Permutation-Based Pseudorandom Functions
Hong-Wei Sun, Fei Gao, Rong-Xue Xu, Dan-Dan Li, Zhen-Qiang Li, and Ke-Jia Zhang
Due to their simple security assessments, permutation-based pseudo-random functions (PRFs) have become widely used in cryptography. It has been shown that PRFs using a single -bit permutation achieve bits of security, while those using two permutation calls provide bits of security in the classical setting. This paper studies the security of permutation-based PRFs within the Q1 model, where attackers are restricted to classical queries and offline quantum computations. We present improved quantum-time/classical-data tradeoffs compared with the previous attacks. Specifically, under the same assumptions/hardware as Grover's exhaustive search attack, i.e. the offline Simon algorithm, we can recover keys in quantum time , with classical queries and qubits. Furthermore, we enhance previous superposition attacks by reducing the data complexity from exponential to polynomial, while maintaining the same time complexity. This implies that permutation-based PRFs become vulnerable when adversaries have access to quantum computing resources. It is pointed out that the above quantum attack can be used to quite a few cryptography, including PDMMAC and pEDM, as well as general instantiations like XopEM, EDMEM, EDMDEM, and others.
Last updated:  2025-03-18
SecurED: Secure Multiparty Edit Distance for Genomic Sequences
Jiahui Gao, Yagaagowtham Palanikuma, Dimitris Mouris, Duong Tung Nguyen, and Ni Trieu
DNA edit distance (ED) measures the minimum number of single nucleotide insertions, substitutions, or deletions required to convert a DNA sequence into another. ED has broad applications in healthcare such as sequence alignment, genome assembly, functional annotation, and drug discovery. Privacy-preserving computation is essential in this context to protect sensitive genomic data. Nonetheless, the existing secure DNA edit distance solutions lack efficiency when handling large data sequences or resort to approximations and fail to accurately compute the metric. In this work, we introduce secureED, a protocol that tackles these limitations, resulting in a significant performance enhancement of approximately compared to existing methods. Our protocol computes a secure ED between two genomes, each comprising letters, in just a few seconds. The underlying technique of our protocol is a novel approach that transforms the established approximate matching technique (i.e., the Ukkonen algorithm) into exact matching, exploiting the inherent similarity in human DNA to achieve cost-effectiveness. Furthermore, we introduce various optimizations tailored for secure computation in scenarios with a limited input domain, such as DNA sequences composed solely of the four nucleotide letters.
Last updated:  2025-03-16
SCAPEgoat: Side-channel Analysis Library
Dev Mehta, Trey Marcantino, Mohammad Hashemi, Sam Karkache, Dillibabu Shanmugam, Patrick Schaumont, and Fatemeh Ganji
Side-channel analysis (SCA) is a growing field in hardware security where adversaries extract secret information from embedded devices by measuring physical observables like power consumption and electromagnetic emanation. SCA is a security assessment method used by governmental labs, standardization bodies, and researchers, where testing is not just limited to standardized cryptographic circuits, but it is expanded to AI accelerators, Post Quantum circuits, systems, etc. Despite its importance, SCA is performed on an ad hoc basis in the sense that its flow is not systematically optimized and unified among labs. As a result, the current solutions do not account for fair comparisons between analyses. Furthermore, neglecting the need for interoperability between datasets and SCA metric computation increases students’ barriers to entry. To address this, we introduce SCAPEgoat, a Python-based SCA library with three key modules devoted to defining file format, capturing interfaces, and metric calculation. The custom file framework organizes side-channel traces using JSON for metadata, offering a hierarchical structure similar to HDF5 commonly applied in SCA, but more flexible and human-readable. The metadata can be queried with regular expressions, a feature unavailable in HDF5. Secondly, we incorporate memory-efficient SCA metric computations, which allow using our functions on resource-restricted machines. This is accomplished by partitioning datasets and leveraging statistics-based optimizations on the metrics. In doing so, SCAPEgoat makes the SCA more accessible to newcomers so that they can learn techniques and conduct experiments faster and with the possibility to expand on in the future.
Last updated:  2025-03-16
Scoop: An Optimizer for Profiling Attacks against Higher-Order Masking
Nathan Rousselot, Karine Heydemann, Loïc Masure, and Vincent Migairou
In this paper we provide new theoretical and empirical evidences that gradient-based deep learning profiling attacks (DL-SCA) suffer from masking schemes. This occurs through an initial stall of the learning process: the so-called plateau effect. To understand why, we derive an analytical expression of a DL-SCA model targeting simulated traces which enables us to study an analytical expression of the loss. By studying the loss landscape of this model, we show that not only do the magnitudes of the gradients decrease as the order of masking increases, but the loss landscape also exhibits a prominent saddle point interfering with the optimization process. From these observations, we (1) propose the usage of a second-order optimization algorithm mitigating the impact of low-gradient areas. In addition, we show how to leverage the intrinsic sparsity of valuable information in SCA traces to better pose the DL-SCA problem. To do so, we (2) propose to use the implicit regularization properties of the sparse mirror descent. These propositions are gathered in a new publicly available optimization algorithm, Scoop. Scoop combines second-order derivative of the loss function in the optimization process, with a sparse stochastic mirror descent. We experimentally show that Scoop pushes further the current limitations of DL-SCA against simulated traces, and outperforms the state-of-the-art on the ASCADv1 dataset in terms of number of traces required to retrieve the key, perceived information and plateau length. Scoop also performs the first non-worst-case attack on the ASCADv2 dataset. On simulated traces, we show that using Scoop reduces the DL-SCA time complexity by the equivalent of one masking order.
Last updated:  2025-03-16
Fast Scloud+: A Fast Hardware Implementation for the Unstructured LWE-based KEM - Scloud+
Jing Tian, Yaodong Wei, Dejun Xu, Kai Wang, Anyu Wang, Zhiyuan Qiu, Fu Yao, and Guang Zeng
Scloud+ is an unstructured LWE-based key encapsulation mechanism (KEM) with conservative quantum security, in which ternary secrets and lattice coding are incorporated for higher computational and communication efficiency. However, its efficiencies are still much inferior to those of the structured LWE-based KEM, like ML-KEM (standardized by NIST). In this paper, we present a configurable hardware architecture for Scloud+.KEM to improve the computational efficiency. Many algorithmic and architectural co-optimizations are proposed to reduce the complexity and increase the degree of parallelism. Specially, the matrix multiplications are computed by a block in serial and the block is calculated in one cycle, without using any multipliers. In addition, the random bits all are generated by an unfolded Keccak core, well matched with the data flow required by the block matrix multiplier. The proposed design is coded in Verilog and implemented under the SMIC 40nm LP CMOS technology. The synthesized results show that Scloud+.KEM-128 only costs 23.0 , 24.3 , and 24.6 in the KeyGen, Encaps, and Decaps stages, respectively, with an area consumption of 0.69 , significantly narrowing the gap with the state-of-the-art of Kyber hardware implementation.
Last updated:  2025-03-16
Shortcut2Secrets: A Table-based Differential Fault Attack Framework
Weizhe Wang, Pierrick Méaux, and Deng Tang
Recently, Differential Fault Attacks (DFAs) have proven highly effective against stream ciphers designed for Hybrid Homomorphic Encryption (HHE). In this work, we present a table-based DFA framework called the \textit{shortcut attack}, which generalizes the attack proposed by Wang and Tang on the cipher \textsf{Elisabeth}. The framework applies to a broad sub-family of ciphers following the Group Filter Permutator (GFP) paradigm and enhances previous DFAs by improving both the fault identification and path generation steps. Notably, the shortcut attack circumvents the issue of function representation, allowing successful attacks even when the cipher's filter function cannot be represented over the ring it is defined on. Additionally, we provide complexity estimates for the framework and apply the shortcut attack to \textsf{Elisabeth-4} and its patches. As a result, we optimize the DFA on \textsf{Elisabeth-4}, requiring fewer keystreams and running faster than previous methods. Specifically, we achieve a DFA that requires only keystreams, which is one-fifth of the previous best result. We also successfully mount a practical DFA on \textsf{Gabriel-4} and provide a theoretical DFA for \textsf{Elisabeth-b4}. For the latest patch, \textsf{Margrethe-18-4}, which follows the more general Mixed Filter Permutator (MFP) paradigm, we present a DFA in a stronger model. To the best of our knowledge, these are the first DFA results on the patches of \textsf{Elisabeth-4}. Finally, we derive security margins to prevent shortcut attacks on a broad sub-family of MFP ciphers, which can serve as parameter recommendations for designers.
Last updated:  2025-03-16
A Security-Enhanced Pairing-Free Certificateless Aggregate Signature for Vehicular Ad-Hoc Networks, Revisited
Zhengjun Cao and Lihua Liu
We show that the aggregate signature scheme [IEEE Syst. J., 2023, 17(3), 3822-3833] is insecure against forgery attack. This flaw is due to that the ephemeral key or ephemeral value chosen in the signing phase is not indeed bound to the final signature. An adversary can sign any message while the verifier cannot find the fraud. We also suggest a revising method to frustrate this attack.
Last updated:  2025-03-15
Electromagnetic Side-Channel Analysis of PRESENT Lightweight Cipher
Nilupulee A Gunathilake, Owen Lo, William J Buchanan, and Ahmed Al-Dubai
Side-channel vulnerabilities pose an increasing threat to cryptographically protected devices. Consequently, it is crucial to observe information leakages through physical parameters such as power consumption and electromagnetic (EM) radiation to reduce susceptibility during interactions with cryptographic functions. EM side-channel attacks are becoming more prevalent. PRESENT is a promising lightweight cryptographic algorithm expected to be incorporated into Internet-of-Things (IoT) devices in the future. This research investigates the EM side-channel robustness of PRESENT using a correlation attack model. This work extends our previous Correlation EM Analysis (CEMA) of PRESENT with improved results. The attack targets the Substitution box (S-box) and can retrieve 8 bytes of the 10-byte encryption key with a minimum of 256 EM waveforms. This paper presents the process of EM attack modelling, encompassing both simple and correlation attacks, followed by a critical analysis.
Last updated:  2025-03-15
Tighter Concrete Security for the Simplest OT
Iftach Haitner and Gil Segev
The Chou-Orlandi batch oblivious transfer (OT) protocol is a particularly attractive OT protocol that bridges the gap between practical efficiency and strong security guarantees and is especially notable due to its simplicity. The security analysis provided by Chou and Orlandi bases the security of their protocol on the hardness of the computational Diffie-Hellman () problem in prime-order groups. Concretely, in groups in which no better-than-generic algorithms are known for the problem, their security analysis yields that an attacker running in time and issuing random-oracle queries breaks the security of their protocol with probability at most , where is the bit-length of the group's order. This concrete bound, however, is somewhat insufficient for 256-bit groups (e.g., for , it does not provide any guarantee already for and ). In this work, we establish a tighter concrete security bound for the Chou-Orlandi protocol. First, we introduce the list square Diffie-Hellman () problem and present a tight reduction from the security of the protocol to the hardness of solving . That is, we completely shift the task of analyzing the concrete security of the protocol to that of analyzing the concrete hardness of the problem. Second, we reduce the hardness of the problem to that of the decisional Diffie-Hellman () problem without incurring a multiplicative loss. Our key observation is that although and have the same assumed concrete hardness, relying on the hardness of enables our reduction to efficiently test the correctness of the solutions it produces. Concretely, in groups in which no better-than-generic algorithms are known for the problem, our analysis yields that an attacker running in time and issuing random-oracle queries breaks the security of the Chou-Orlandi protocol with probability at most (i.e., we eliminate the above multiplicative term). We prove our results within the standard real-vs-ideal framework considering static corruptions by malicious adversaries, and provide a concrete security treatment by accounting for the statistical distance between a real-model execution and an ideal-model execution.
Last updated:  2025-03-15
Endorser Peer Anonymization in Hyperledger Fabric for Consortium of Organizations
Dharani J, Sundarakantham K, Kunwar Singh, and Mercy Shalinie S
Hyperledger Fabric is a unique permissioned platform for implementing blockchain in a consortium. It has a distinct transaction flow of execute-order-validate. During the execution phase, a pre-determined set of endorsing peers execute a transaction and sign the transaction response. This process is termed endorsement. In the validation phase, peers validate the transaction with reference to an endorsement policy. The identity of the endorsing organizations is obtainable to all the nodes in the network through the endorser signature and endorsement policy. Knowing this has led to serious vulnerabilities in the blockchain network. In this paper, we propose a privacy-preserving endorsement system which conceals both endorser signature and endorsement policy. Endorser is anonymized by replacing the signature scheme with a scoped-linkable threshold ring signature scheme. Endorsement policy is secured using Pedersen commitments and non-interactive proof of knowledge of integer vector. We also achieve efficiency in the computation by employing non-interactive proof of co-prime roots. We provide the necessary security analysis to prove that the proposed work guarantees anonymity and unlinkability properties. A comparative analysis of our work with an existing framework is provided which shows that the proposed scheme offers higher level of security and it is optimal in terms of efficiency.
Last updated:  2025-03-15
Blind Brother: Attribute-Based Selective Video Encryption
Eugene Frimpong, Bin Liu, Camille Nuoskala, and Antonis Michalas
The emergence of video streams as a primary medium for communication and the demand for high-quality video sharing over the internet have given rise to several security and privacy issues, such as unauthorized access and data breaches. To address these limitations, various Selective Video Encryption (SVE) schemes have been proposed, which encrypt specific portions of a video while leaving others unencrypted. The SVE approach balances security and usability, granting unauthorized users access to certain parts while encrypting sensitive content. However, existing SVE schemes adopt an all-or-nothing coarse-grain encryption approach, where a user with a decryption key can access all the contents of a given video stream. This paper proposes and designs a fine-grained access control-based selective video encryption scheme, ABSVE, and a use-case protocol called \protocol. Our scheme encrypts different identified Regions of Interest (ROI) with a unique symmetric key and applies a Ciphertext Policy Attribute Based Encryption (CP-ABE) scheme to tie these keys to specific access policies. This method provides multiple access levels for a single encrypted video stream. Crucially, we provide a formal syntax and security definitions for ABSVE, allowing for rigorous security analysis of this and similar schemes -- which is absent in prior works. Finally, we provide an implementation and evaluation of our protocol in the Kvazaar HEVC encoder. Overall, our constructions enhance security and privacy while allowing controlled access to video content and achieve comparable efficiency to compression without encryption.
Last updated:  2025-03-14
PREAMBLE: Private and Efficient Aggregation of Block Sparse Vectors and Applications
Hilal Asi, Vitaly Feldman, Hannah Keller, Guy N. Rothblum, and Kunal Talwar
We revisit the problem of secure aggregation of high-dimensional vectors in a two-server system such as Prio. These systems are typically used to aggregate vectors such as gradients in private federated learning, where the aggregate itself is protected via noise addition to ensure differential privacy. Existing approaches require communication scaling with the dimensionality, and thus limit the dimensionality of vectors one can efficiently process in this setup. We propose PREAMBLE: Private Efficient Aggregation Mechanism for Block-sparse Euclidean Vectors. PREAMBLE is a novel extension of distributed point functions that enables communication- and computation-efficient aggregation of block-sparse vectors, which are sparse vectors where the non-zero entries occur in a small number of clusters of consecutive coordinates. We then show that PREAMBLE can be combined with random sampling and privacy amplification by sampling results, to allow asymptotically optimal privacy-utility trade-offs for vector aggregation, at a fraction of the communication cost. When coupled with recent advances in numerical privacy accounting, our approach incurs a negligible overhead in noise variance, compared to the Gaussian mechanism used with Prio.
Last updated:  2025-03-14
Translating Between the Common Haar Random State Model and the Unitary Model
Eli Goldin and Mark Zhandry
Black-box separations are a cornerstone of cryptography, indicating barriers to various goals. A recent line of work has explored black-box separations for quantum cryptographic primitives. Namely, a number of separations are known in the Common Haar Random State (CHRS) model, though this model is not considered a complete separation, but rather a starting point. A few very recent works have attempted to lift these separations to a unitary separation, which are considered complete separations. Unfortunately, we find significant errors in some of these lifting results. We prove general conditions under which CHRS separations can be generically lifted, thereby giving simple, modular, and bug-free proofs of complete unitary separations between various quantum primitives. Our techniques allow for simpler proofs of existing separations as well as new separations that were previously only known in the CHRS model.
Last updated:  2025-03-14
Exploring General Cyclotomic Rings in Torus-Based Fully Homomorphic Encryption: Part I - Prime Power Instances
Philippe Chartier, Michel Koskas, and Mohammed Lemou
In the realm of fully homomorphic encryption on the torus, we investigate the algebraic manipulations essential for handling polynomials within cyclotomic rings characterized by prime power indices. This includes operations such as modulo reduction, computation of the trace operator, extraction, and the blind rotation integral to the bootstrapping procedure, all of which we reformulate within this mathematical framework.
Last updated:  2025-03-14
webSPDZ: Versatile MPC on the Web
Thomas Buchsteiner, Karl W. Koch, Dragos Rotaru, and Christian Rechberger
Multi-party computation (MPC) has become increasingly practical in the last two decades, solving privacy and security issues in various domains, such as healthcare, finance, and machine learning. One big caveat is that MPC sometimes lacks usability since the knowledge barrier for regular users can be high. Users have to deal with, e.g., various CLI tools, private networks, and sometimes even must install many dependencies, which are often hardware-dependent. A solution to improve the usability of MPC is to build browser-based MPC engines where each party runs within a browser window. Two examples of such an MPC web engine are JIFF and the web variant of MPyC. Both support an honest majority with passive corruptions. : Our work brings one of the most performant and versatile general-purpose MPC engines, MP-SPDZ, to the web. MP-SPDZ supports ≥40 MPC protocols with different security models, enabling many security models on the web. To port MP-SPDZ to the web, we use Emscripten to compile MP-SPDZ’s C++ BackEnd to WebAssembly and upgrade the party communication for the browser (WebRTC or WebSockets). We call the new MPC web engine webSPDZ. As with the native versions of the mentioned MPC web engines, MPyC-Web and JIFF, webSPDZ outperforms them in our end-to-end experiments. We believe that webSPDZ brings forth many interesting and practically relevant use cases. Thus, webSPDZ pushes the boundaries of practical MPC: making MPC more usable and enabling it for a broader community.
Last updated:  2025-03-14
On One-Shot Signatures, Quantum vs Classical Binding, and Obfuscating Permutations
Omri Shmueli and Mark Zhandry
One-shot signatures (OSS) were defined by Amos, Georgiou, Kiayias, and Zhandry (STOC'20). These allow for signing exactly one message, after which the signing key self-destructs, preventing a second message from ever being signed. While such an object is impossible classically, Amos et al observe that OSS may be possible using quantum signing keys by leveraging the no-cloning principle. OSS has since become an important conceptual tool with many applications in decentralized settings and for quantum cryptography with classical communication. OSS are also closely related to separations between classical-binding and collapse-binding for post-quantum hashing and commitments. Unfortunately, the only known OSS construction due to Amos et al. was only justified in a classical oracle model, and moreover their justification was ultimately found to contain a fatal bug. Thus, the existence of OSS, even in a classical idealized model, has remained open. We give the first standard-model OSS, with provable security assuming (sub-exponential) indistinguishability obfuscation (iO) and LWE. This also gives the first standard-model separation between classical and collapse-binding post-quantum commitments/hashing, solving a decade-old open problem. Along the way, we also give the first construction with unconditional security relative to a classical oracle. To achieve our standard-model construction, we develop a notion of permutable pseudorandom permutations (permutable PRPs), and show how they are useful for translating oracle proofs involving random permutations into obfuscation-based proofs. In particular, obfuscating permutable PRPs gives a trapdoor one-way permutation that is , solving another decade-old-problem of constructing this object from (sub-exponential) iO and one-way functions.
Last updated:  2025-03-19
Key reconstruction for QC-MDPC McEliece from imperfect distance spectrum
Motonari Ohtsuka, Takahiro Ishimaru, Rei Iseki, Shingo Kukita, and Kohtaro Watanabe
McEliece cryptosystems, based on code-based cryptography, is a candidate in Round 4 of NIST's post-quantum cryptography standardization process. The QC-MDPC (quasi-cyclic moderate-density parity-check) variant is particularly noteworthy due to its small key length. The Guo-Johansson-Stankovski (GJS) attack against the QC-MDPC McEliece cryptosystem was recently proposed and has intensively been studied. This attack reconstructs the secret key using information on decoding error rate (DER). However, in practice, obtaining complete DER information is presumed to be time-consuming. This paper proposes two algorithms to reconstruct the secret key under imperfection in the DER information and evaluates the relationship between the imperfection and efficiency of key reconstruction. This will help us to increase the efficacy of the GJS attack.
Last updated:  2025-03-14
EvoLUTe+: Fine-Grained Look-Up-Table-based RTL IP Redaction
Rui Guo, M Sazadur Rahman, Jingbo Zhou, Hadi M Kamali, Fahim Rahman, Farimah Farahmandi, and Mark Tehranipoor
Hardware obfuscation is an active trustworthy design technique targeting threats in the IC supply chain, such as IP piracy and overproduction. Recent research on Intellectual Property (IP) protection technologies suggests that using embedded reconfigurable components (e.g., eFPGA redaction) could be a promising approach to hide the functional and structural information of security-critical designs. However, such techniques suffer from almost prohibitive overhead in terms of area, power, delay, and testability. This paper proposes an obfuscation technique called EvoLUTe+, which is a unique and more fine-grained redaction approach using smaller reconfigurable components (e.g., Look-Up Tables (LUTs)). EvoLUTe+ achieves fine-grained partitioning, sub-circuit coloring, and scoring of IP, and then encrypts the original IP through the substitution of some sub-circuits. Different attacks are used to test the robustness of EvoLUTe+, including structural and machine learning attacks, as well as Bounded Model Checking (BMC) attacks. The overhead of the obfuscation design is also analyzed. Experimental results demonstrate that EvoLUTe+ exhibits robustness with acceptable overhead while resisting such threat models.
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