International Association
for Cryptologic Research

Laconic function evaluation (LFE) allows us to compress a circuit $f$ into a short digest. Anybody can use this digest as a public-key to efficiently encrypt some input $x$. Decrypting the resulting ciphertext reveals the output $f(x)$, while hiding everything else about $x$. In this work we consider LFE for Random-Access Machines (RAM-LFE) where, instead of a circuit $f$, we have a RAM program $f_{\mathsf{DB}}$ that potentially contains some large hard-coded data $\mathsf{DB}$. The decryption run-time to recover $f_{\mathsf{DB}}(x)$ from the ciphertext should be roughly the same as a plain evaluation of $f_{\mathsf{DB}}(x)$ in the RAM model, which can be sublinear in the size of $\mathsf{DB}$. Prior works constructed LFE for circuits under LWE, and RAM-LFE under indisitinguishability obfuscation (iO) and Ring-LWE. In this work, we construct RAM-LFE with essentially optimal encryption and decryption run-times from just Ring-LWE and a standard circular security assumption, without iO.

RAM-LFE directly yields 1-key succinct functional encryption and reusable garbling for RAMs with similar parameters.

If we only want an attribute-based LFE for RAMs (RAM-AB-LFE), then we can replace Ring-LWE with plain LWE in the above. Orthogonally, if we only want leveled schemes, where the encryption/decryption efficiency can scale with the depth of the RAM computation, then we can remove the need for a circular-security. Lastly, we also get a leveled many-key attribute-based encryption for RAMs (RAM-ABE), from LWE.

Threshold signatures enable any subgroup of predefined cardinality $t$ out of a committee of $n$ participants to generate a valid, aggregated signature. Although several $(t,n)$-threshold signature schemes exist, most of them assume that the threshold $t$ and the set of participants do not change over time. Practical applications of threshold signatures might benefit from the possibility of updating the threshold or the committee of participants. Examples of such applications are consensus algorithms and blockchain wallets. In this paper, we present Dynamic-FROST (D-FROST, for short) that combines FROST, a Schnorr threshold signature scheme, with CHURP, a dynamic proactive secret sharing scheme. The resulting protocol is the first Schnorr threshold signature scheme that accommodates changes in both the committee and the threshold value without relying on a trusted third party. Besides detailing the protocol, we present a proof of its security: as the original signing scheme, D-FROST preserves the property of Existential Unforgeability under Chosen-Message Attack.

Multi-Key Homomorphic Signatures (MKHS) allow one to evaluate a function on data signed by distinct users while producing a succinct and publicly-verifiable certificate of the correctness of the result. All the constructions of MKHS in the state of the art achieve a weak level of succinctness where signatures are succinct in the total number of inputs but grow linearly with the number of users involved in the computation. The only exception is a SNARK-based construction which relies on a strong notion of knowledge soundness in the presence of signing oracles that not only requires non-falsifiable assumptions but also encounters some impossibility results.

In this work, we present the first construction of MKHS that are fully succinct (also with respect to the number of users) while achieving adaptive security under standard falsifiable assumptions. Our result is achieved through a novel combination of batch arguments for NP (BARGs) and functional commitments (FCs), and yields diverse MKHS instantiations for circuits of unbounded depth based on either pairing or lattice assumptions. Additionally, our schemes support efficient verification with pre-processing, and they can easily be extended to achieve multi-hop evaluation and context-hiding.

This paper presents quantum algorithms for fast correlation attacks, one of the most powerful techniques for cryptanalysis on LFSR-based stream ciphers in the classical setting. Typical fast correlation attacks recover a value related to the initial state of the underlying LFSR by solving a decoding problem on a binary linear code with the Fast Walsh-Hadamard Transform (FWHT). Applying the FWHT on a function in the classical setting is mathematically equivalent to applying the Hadamard transform on the corresponding state in quantum computation. While the classical FWHT on a function with $\ell$-bit inputs requires $O(\ell 2^\ell)$ operations, the Hadamard transform on $\ell$-qubit states requires only a parallel application of $O(\ell)$ basic gates. This difference leads to the exponential speed-up by some quantum algorithms, including Simon's period finding algorithm.

Given these facts, the question naturally arises of whether a quantum speedup can also be achieved for fast correlations by replacing the classical FWHT with the quantum Hadamard transform. We show quantum algorithms achieving speed-up in such a way, introducing a new attack model in the Q2 setting. The new model endows adversaries with a quite strong power, but we demonstrate its feasibility by showing that certain members of the ChaCha and Salsa20 families will likely be secure in the new model. Our attack exploits the link between LFSRs' state update and multiplication in a fine field to apply Shor's algorithm for the discrete logarithm problem. We apply our attacks on SNOW 2.0, SNOW 3G, and Sosemanuk, observing a large speed-up from classical attacks.

We construct a (compact) quantum fully homomorphic encryption (QFHE) scheme starting from any (compact) classical fully homomorphic encryption scheme with decryption in $\mathsf{NC}^{1}$, together with a dual-mode trapdoor function family. Compared to previous constructions (Mahadev, FOCS 2018; Brakerski, CRYPTO 2018) which made non-black-box use of similar underlying primitives, our construction provides a pathway to instantiations from different assumptions. Our construction uses the techniques of Dulek, Schaffner and Speelman (CRYPTO 2016) and shows how to make the client in their QFHE scheme classical using dual-mode trapdoor functions. As an additional contribution, we show a new instantiation of dual-mode trapdoor functions from group actions.

Recent years have exhibited an increase in applications that distribute trust across $n$ servers to protect user data from a central point of attack. However, these deployments remain limited due to a core obstacle: establishing $n$ distinct trust domains. An application provider, a single trust domain, cannot directly deploy multiple trust domains. As a result, application providers forge business relationships to enlist third-parties as trust domains, which is a manual, lengthy, and expensive process, inaccessible to many application developers.

We introduce the on-demand distributed-trust architecture that enables an application provider to deploy distributed trust automatically and immediately without controlling the other trust domains. The insight lies in reversing the deployment method such that each user's client drives deployment instead of the application provider. While at a first glance, this approach appears infeasible due to cost, performance, and resource abuse concerns, our system Flock resolves these challenges. We implement and evaluate Flock on 3 major cloud providers and 8 distributed-trust applications. On average, Flock achieves 1.05x the latency and 0.68-2.27x the cloud cost of a traditional distributed-trust deployment, without reliance on third-party relationships.

Masking is one of the most popular countermeasures to protect implementations against power and electromagnetic side channel attacks, because it offers provable security. Masking has been shown secure against d-threshold probing adversaries by Ishai et al. at CRYPTO'03, but this adversary's model doesn't consider any physical hardware defaults and thus such masking schemes were shown to be still vulnerable when implemented as hardware circuits. To addressed these limitations glitch-extended probing adversaries and correspondingly glitch-immune masking schemes have been introduced. This paper introduces glitch-stopping circuits which, when instantiated with registers, coincide with circuits protected via glitch-immune masking. Then we show that one can instantiate glitch-stopping circuits without registers by using clocked logic gates or latches. This is illustrated for both ASIC and FPGA, offering a promising alternative to conventional register-based masked implementations. Compared to the traditional register-based approach, these register-free solutions can reduce the latency to a single cycle and achieve a lower area cost. We prove and experimentally confirm that the proposed solution is as secure as the register-based one. In summary, this paper proposes a novel method to address the latency of register-based hardware masking without jeopardising their security. This method not only reduces the latency down to one clock, but also improves the areas costs of the implementations.

Ring signatures, a cryptographic primitive introduced by Rivest, Shamir and Tauman (ASIACRYPT 2001), offer signer anonymity within dynamically formed user groups. Recent advancements have focused on lattice-based constructions to improve efficiency, particularly for large signing rings. However, current state-of-the-art solutions suffer from significant overhead, especially for smaller rings.

In this work, we present a novel NTRU-based ring signature scheme, Gandalf, tailored towards small rings. Our post-quantum scheme achieves a 50% reduction in signature sizes compared to the linear ring signature scheme Raptor (ACNS 2019). When compared to the sublinear ring signature scheme Smile (CRYPTO 2021), our signatures are more compact for rings of up to 26. In particular, for rings of size two, our ring signatures are only 1236 bytes.

Additionally, we explore the use of ring signatures to obtain deniability in authenticated key exchange mechanisms (AKEMs), the primitive behind the recent HPKE standard used in MLS and TLS. We take a fine-grained approach at formalising sender deniability within AKEM and seek to define the strongest possible notions. Our contributions extend to a black-box construction of a deniable AKEM from a KEM and a ring signature scheme for rings of size two. Our approach attains the highest level of confidentiality and authenticity, while simultaneously preserving the strongest forms of deniability in two orthogonal settings. Finally, we present parameter sets for our schemes, and show that our deniable AKEM, when instantiated with our ring signature scheme, yields ciphertexts of 2004 bytes.

As blockchain technology continues to transform the realm of digital transactions, scalability has emerged as a critical issue. This challenge has spurred the creation of innovative solutions, particularly Layer 2 scalability techniques like rollups. Among these, ZK-Rollups are notable for employing Zero-Knowledge Proofs to facilitate prompt on-chain transaction verification, thereby improving scalability and efficiency without sacrificing security. Nevertheless, the intrinsic complexity of ZK-Rollups has hindered an exhaustive evaluation of their efficiency, economic impact, and performance.

This paper offers a theoretical and empirical examination aimed at comprehending and evaluating ZK-Rollups, with particular attention to ZK-EVMs. We conduct a qualitative analysis to break down the costs linked to ZK-Rollups and scrutinize the design choices of well-known implementations. Confronting the inherent difficulties in benchmarking such intricate systems, we introduce a systematic methodology for their assessment, applying our method to two prominent ZK-Rollups: Polygon zkEVM and zkSync Era. Our research provides initial findings that illuminate trade-offs and areas for enhancement in ZK-Rollup implementations, delivering valuable insights for future research, development, and deployment of these systems.

One of the key areas of focus in blockchain research is how to realize privacy-preserving auditing without sacrificing the system’s security and trustworthiness. However, simultaneously achieving auditing and privacy protection, two seemingly contradictory objectives, is challenging because an auditing system would require transparency and accountability which might create privacy and security vulnerabilities. This becomes worse in cross-chain scenarios, where the information silos from multiple chains further complicate the problem. In this paper, we identify three important challenges in cross-chain privacy-preserving auditing, namely Cross-chain Linkability Exposure (CLE), Incompatibility of Privacy and Auditing (IPA), and Full Auditing Inefficiency (FAI). To overcome these challenges, we propose $\mathsf{zkCross}$, which is a novel two-layer cross-chain architecture equipped with three cross-chain protocols to achieve privacy-preserving cross-chain auditing. Among these three protocols, two are privacy-preserving cross-chain protocols for transfer and exchange, respectively; the third one is an efficient cross-chain auditing protocol. These protocols are built on solid cross-chain schemes to guarantee privacy protection and audit efficiency. We implement $\mathsf{zkCross}$ on both local and cloud servers and perform comprehensive tests to validate that $\mathsf{zkCross}$ is well-suited for processing large-scale privacy-preserving auditing tasks. We evaluate the performance of the proposed protocols in terms of run time, latency, throughput, gas consumption, audit time, and proof size to demonstrate their practicality.

End-to-end encrypted messaging applications ensure that an attacker cannot read a user's message history without their decryption keys. While end-to-end encryption provides strong privacy, it creates a usability problem: if a user loses their devices and cannot access their decryption keys, they can no longer access their message history. To solve this usability problem, users should be able to back up their decryption keys with the messaging provider. For privacy, the provider should not have access to users' decryption keys. To solve this problem, we present Secure Value Recovery 3 (SVR3), a secret key recovery system that distributes trust across different types of hardware enclaves run by different cloud providers in order to protect users' decryption keys. SVR3 is the first deployed secret key recovery system to split trust across heterogeneous enclaves managed by different cloud providers: this design ensures that a single type of enclave does not become a central point of attack. SVR3 protects decryption keys via rollback protection and fault tolerance techniques tailored to the enclaves' security guarantees. SVR3 costs $0.0025/user/year and takes 365ms for a user to recover their key, which is a rare operation. A part of SVR3 has been rolled out to millions of real users in a deployment with capacity for over 500 million users, demonstrating the ability to operate at scale.

The rapid development of advanced cryptographic applications like multi-party computation (MPC), fully homomorphic encryption (FHE), and zero-knowledge (ZK) proofs have motivated the designs of the so-called arithmetic-oriented (AO) primitives. Efficient AO primitives typically build over large fields and use large S-boxes. Such design philosophy brings difficulties in the cryptanalysis of these primitives as classical cryptanalysis methods do not apply well. The generally recognized attacks against these primitives are algebraic attacks, especially Groebner basis attacks. Thus, the numbers of security rounds are usually derived through the complexity of solving the system of algebraic equations using Groebner bases. In this paper, we propose a novel framework for algebraic attacks against AO primitives. Instead of using Groebner basis, we use resultants to solve a system of multivariate equations that can better exploit the algebraic structures of AO primitives. We employ several techniques to reduce the dimensions of the resultants and avoid rapid increases in degrees, including meet-in-the-middle modeling, variable substitutions, and fast Lagrange interpolation. We apply our attack to three mainstream AO cryptographic primitives: Rescue-Prime, Anemoi, and Jarvis. For Rescue-Prime, we theoretically prove that the final univariate equation has a degree of at most a specific power of three and practically attack five rounds for the first time. We attack the full-round of Anemoi with complexity 2^110.10, which has been claimed to provide 127 bits of security. We also give the first practical attack against eight rounds of Anemoi over a 55-bit prime field. For Jarvis, we improve the existing practical attack by a factor of 100. Therefore, we point out that our analysis framework can be used as a new evaluation method for AO designs.

In onion routing, a message travels through the network via a series of intermediaries, wrapped in layers of encryption to make it difficult to trace. Onion routing is an attractive approach to realizing anonymous channels because it is simple and fault tolerant. Onion routing protocols provably achieving anonymity in realistic adversary models are known for the synchronous model of communication so far.

In this paper, we give the first onion routing protocol that achieves anonymity in the asynchronous model of communication. The key tool that our protocol relies on is the novel cryptographic object that we call bruisable onion encryption. The idea of bruisable onion encryption is that even though neither the onion’s path nor its message content can be altered in transit, an intermediate router on the onion’s path that observes that the onion is delayed can nevertheless slightly damage, or bruise it. An onion that is chronically delayed will have been bruised by many intermediaries on its path and become undeliverable. This prevents timing attacks and, as we show, yields a provably secure onion routing protocol in the asynchronous setting.

Interactive proofs are a cornerstone of modern cryptography and as such used in many areas, from digital signatures to multy-party computation. Often the knowledge error $\kappa$ of an interactive proof is not small enough, and thus needs to be reduced. This is usually achieved by repeating the interactive proof in parallel t times. Recently, it was shown that parallel repetition of any $(k_1, \ldots , k_\mu)$-special-sound multi-round public-coin interactive proof reduces the knowledge error from $\kappa$ to $\kappa^t$, which is optimal. However, in many cases parallel repetitions lead to a significant increase in transcript size. A common technique to mitigate this drawback, which is often used in digital signatures obtained by using the Fiat-Shamir transform, is to use fixed-weight challenges, i.e. vectors of challenges having a constant number of entries equal to a fixed value. While widely used, this method has not been fully assessed from a security standpoint. In particular, the effect of the technique on the knowledge error of the special-sound repeated interactive proof has remained unstudied. In this work, we fill the gap and prove that a fixed-weight repetition of a $(k_1, \ldots, k_\mu)$-special-sound multi-round public-coin interactive proof is still knowledge sound. We provide an explicit bound for the knowledge error of the protocol, proving that it matches with the cheating probability of a dishonest prover. Our results apply to some recently-proposed digital signatures which are supposed to be quantum resistant, for example CROSS.

In the field of Artificial Intelligence (AI), convolution operations have primarily been used in Convolutional Neural Networks (CNNs). However, its utility is increasing with the appearance of convolution integrated transformers or state space models where convolution is a constituent element. In the field of private AI, generalized algorithm, multiplexed parallel convolution was recently proposed to implement CNNs based on the Homomorphic Encryption scheme, residue number system variant Cheon-Kim-Kim-Song. Multiplexed parallel convolution is highly applicable, but its usage has been partly limited due to requiring many rotation operations. In this paper, we propose rotation optimized convolution, which reduces the rotation required for multiplexed parallel convolution, thus lowering latency, enhancing usability, and additionally decreasing the required rotation key. We additionally reduce the size of rotation keys by applying the hierarchical rotation key system, and our proposed small level key system. We also propose a new form of matrix-vector multiplication called Parallel Baby-Step Giant-Step matrix-vector multiplication which also reduces the number of rotations. In our experiment case, rotation optimized convolution achieved a maximum 70% reduction in execution time and 29× reduction for rotation keys using our method. Also, our proposed matrix-vector multiplication method achieved a reduction of execution time by up to 64%.

ECMQV is a standardized key agreement protocol based on ECC with an additional implicit signature authentication. In this paper we investigate the vulnerability of ECMQV against fault attacks and propose two efficient lattice-based fault attacks. In our attacks, by inducing a storage fault to the ECC parameter $a$ before the execution of ECMQV, we can construct two kinds of weak curves and successfully pass the public-key validation step in the protocol. Then, by solving ECDLP and using a guess-and-determine method, some information of the victim's temporary private key and the implicit-signature result can be deduced. Based on the retrieved information, we build two new lattice-attack models and recover the upper half of the static private key. Compared with the previous lattice-attack models, our models relax the attack conditions and do not require the exact partial knowledge of the nonces. The validity of the attacks is proven by experimental simulations, which show our attacks pose real threats to the unprotected ECMQV implementations since only one permanent fault is sufficient to retrieve half bits of the secret key.

Atomic cross-chain swap, which allows users to exchange coins securely, is critical functionality to facilitate inter-currency exchange and trading. Although most classic atomic swap protocols based on Hash Timelock Contracts have been applied and deployed in practice, they are substantially far from universality due to the inherent dependence of rich scripting language supported by the underlying blockchains. The recently proposed Universal Atomic Swaps protocol [IEEE S\&P'22] takes a novel path to scriptless cross-chain swap, and it ingeniously delegates scripting functionality to cryptographic lock mechanisms, particularly the adaptor signature and timed commitment schemes designed to guarantee atomicity. However, in this work, we discover a new form of attack called double-claiming attack, such that the honest user would lose coins with overwhelming probability and atomicity is directly broken. Moreover, this attack is easy to carry out and can be naturally generalized to other cross-chain swap protocols as well as the payment channel networks, highlighting a general difficulty in designing universal atomic swap.

We present pipeSwap, a cross-chain swap protocol that satisfies both security and practical universality. To avoid transactions of the same frozen coins being double-claimed to violate the atomicity property, pipeSwap proposes a novelly designed paradigm of pipelined coins flow by using two-hop swap and two-hop refund techniques. pipeSwap achieves universality by not relying on any specific script language, aside from the basic ability to verify signatures. Furthermore, we analyze why existing ideal functionality falls short in capturing the atomicity property of Universal Atomic Swaps, and define for the first time ideal functionality to guarantee atomicity. In addition to a detailed security analysis in the Universal Composability framework, we develop a proof-of-concept implementation of pipeSwap with Schnorr/ECDSA signatures, and conduct extensive experiments to evaluate the overhead. The experimental results show that pipeSwap can be performed in less than 1.7 seconds and requires less than 7 kb of communication overhead on commodity machines, which demonstrates its high efficiency.

We introduce a new tool for the study of isogeny-based cryptography, namely pairings which are sesquilinear (conjugate linear) with respect to the $\mathcal{O}$-module structure of an elliptic curve with CM by an imaginary quadratic field $\mathcal{O}$. We use these pairings to study the security of problems based on the class group action on collections of oriented ordinary or supersingular elliptic curves. This extends work of [CHM+23] and [FFP24].

In this paper we point out the problem of insufficient tools for protecting against split-view attacks in Key Transparency protocols, and propose a solution to fill the void. We discuss why current approaches are not suitable and then propose a novel notion, GOD-less broadcast, that solves the issue. Like conventional notions of broadcast, GOD-less broadcast guarantees consistency. However, it does not provide Guaranteed Output Delivery (GOD). We provide an efficient realization of this new notion using a hidden committee of randomly selected and initially undisclosed users which endorse the current view. We also introduce and analyze a new concept of a quorum which ensures consistency among all honest active users. Our GOD-less broadcast protocol is practical and applicable to existing large scale Key Transparency systems, e.g. the Key Transparency used in WhatsApp.

We provide explicit radical $N$-isogeny formulae for all odd integers $N$. The formulae are compact closed-form expressions which require one $N$th root computation and $\mathcal{O}(N)$ basic field operations. The formulae are highly efficient to compute a long chain of $N$-isogenies, and have the potential to be extremely beneficial for speeding up certain cryptographic protocols such as CSIDH. Unfortunately, the formulae are conjectured, but we provide ample supporting evidence which strongly suggests their correctness.

For CSIDH-512, we notice an additional 35% speed-up when using radical isogenies up to $N=199$, compared to the work by Castryck, Decru, Houben and Vercauteren, which uses radical isogenies up to $N=19$ only. The addition of our radical isogenies also speeds up the computation of larger class group actions in a comparable fashion.