Recent works in amortized sublinear Private Information Retrieval (PIR) have demonstrated great potential. Despite the inspiring progress, existing schemes in this new paradigm are still faced with various challenges and bottlenecks, including large client storage, high communication, poor practical efficiency, need for non-colluding servers, or restricted client query sequences. We present simple and practical amortized sublinear stateful private information retrieval schemes without these drawbacks using new techniques in hint construction and usage. In particular, we introduce a dummy set to the client's request to eliminate any leakage or correctness failures. Our techniques can work with two non-colluding servers or a single server. The resulting PIR schemes achieve practical efficiency. The online response overhead is only twice that of simply fetching the desired entry without privacy. For a database with $2^{28}$ entries of 32-byte, each query of our two-server scheme consumes 34 KB of communication and 2.7 milliseconds of computation, and each query of our single-server scheme consumes amortized 47 KB of communication and 4.5 milliseconds of computation. These results are one or more orders of magnitude better than prior works.

We establish new results on the Fiat-Shamir (FS) security of several protocols that are widely used in practice, and we provide general tools for establishing similar results for others. More precisely, we: (1) prove the FS security of the FRI and batched FRI protocols; (2) analyze a general class of protocols, which we call $\delta$-correlated, that use low-degree proximity testing as a subroutine (this includes many "Plonk-like" protocols (e.g., Plonky2 and Redshift), ethSTARK, RISC Zero, etc.); and (3) prove FS security of the aforementioned "Plonk-like" protocols, and sketch how to prove the same for the others. We obtain our first result by analyzing the round-by-round (RBR) soundness and RBR knowledge soundness of FRI. For the second result, we prove that if a $\delta$-correlated protocol is RBR (knowledge) sound under the assumption that adversaries always send low-degree polynomials, then it is RBR (knowledge) sound in general. Equipped with this tool, we prove our third result by formally showing that "Plonk-like" protocols are RBR (knowledge) sound under the assumption that adversaries always send low-degree polynomials. We then outline analogous arguments for the remainder of the aforementioned protocols. To the best of our knowledge, ours is the first formal analysis of the Fiat-Shamir security of FRI and widely deployed protocols that invoke it.

Privacy-preserving payment systems face the difficult task of balancing privacy and accountability: on one hand, users should be able to transact privately and anonymously, on the other hand, no illegal activities should be tolerated. The challenging question of finding the right balance lies at the core of the research on accountable privacy that stipulates the use of cryptographic techniques for policy enforcement. Current state-of-the-art systems are only able to enforce rather limited policies, such as spending or transaction limits, or assertions about single participants, but are unable to enforce more complex policies that for example jointly evaluate both, the private credentials of sender and recipient, such as admissible cross-border payments, let alone to do this without auditors in the loop during payment. This severely limits the cases where decentralized virtual assets can be used in accordance with regulatory compliance such as the Financial Action Task Force (FATF) travel rule, while further retaining strong privacy features. We present unlinkable Policy-Compliant Signatures (ul-PCS), an enhanced cryptographic primitive extending the work of Badertscher et al. (TCC 21). We give rigorous definitions, formally proven constructions, and benchmarks using our prototype developed using CharmCrypto. Unlinkable PCS has the following unique combination of features: 1. It is an enhanced signature scheme where the public key encodes in a privacy-preserving way the user's verifiable credentials (obtained from a credential authority). 2. Signatures can be created (and later publicly verified) by additionally specifying a recipient's public key aside of the to-be-signed message. A valid signature can only ever be created if the attributes $x_S$ of the signer and the attributes $x_R$ of the receiver fulfill some global policy $F(x_S,x_R)$. 3. The signature can be created by the signer just knowing the recipient's public key; there is no further interaction needed no attributes are leaked (beyond the validity of the policy). 4. Once credentials are obtained, a user can generate fresh public keys without interacting with the credential authority. By merging the act of signing a transaction with the act of providing an assurance about the involved participants being compliant with complex policies, yet retain that participants are able to change addresses without the involvement of an authority, we show how ul-PCS constitutes a crucial step towards achieving a technology that improves regulatory compliance of privacy coins such as Monero or Zcash.

DuckyZip is a provably honest global linking service which links short memorable identifiers to arbitrarily large payloads (URLs, text, documents, archives, etc.) without being able to undetectably provide different payloads for the same short identifier to different parties. DuckyZip uses a combination of Verifiable Random Function (VRF)-based zero knowledge proofs and a smart contract in order to provide strong security guarantees: despite the transparency of the smart contract log, observers cannot feasibly create a mapping of all short identifiers to payloads that is faster than $\mathcal{O}(n)$ classical enumeration.

Although power LEDs have been integrated in various devices that perform cryptographic operations for decades, the cryptanalysis risk they pose has not yet been investigated. In this paper, we present optical cryptanalysis, a new form of cryptanalytic side-channel attack, in which secret keys are extracted by using a photodiode to measure the light emitted by a device’s power LED and analyzing subtle fluctuations in the light intensity during cryptographic operations. We analyze the optical leakage of power LEDs of various consumer devices and the factors that affect the optical SNR. We then demonstrate end-to-end optical cryptanalytic attacks against a range of consumer devices (smartphone, smartcard, and Raspberry Pi, along with their USB peripherals) and recover secret keys (RSA, ECDSA, SIKE) from prior and recent versions of popular cryptographic libraries (GnuPG, Libgcrypt, PQCrypto-SIDH) from a maximum distance of 25 meters

Most succinct arguments (SNARKs) are initially only proven knowledge sound (KS). We show that the commonly employed compilation strategy from polynomial interactive oracle proofs (PIOP) via polynomial commitments to knowledge sound SNARKS actually also achieves other desirable properties: weak unique response (WUR) and trapdoorless zero-knowledge (TLZK); and that together they imply simulation extractability (SIM-EXT). The factoring of SIM-EXT into KS + WUR + TLZK is becoming a cornerstone of the analysis of non-malleable SNARK systems. We show how to prove WUR and TLZK for PIOP compiled SNARKs under mild falsifiable assumptions on the polynomial commitment scheme. This means that the analysis of knowledge soundness from PIOP properties that inherently relies on non-falsifiable or idealized assumption such as the algebraic group model (AGM) or generic group model (GGM) need not be repeated. While the proof of WUR requires only mild assumptions on the PIOP, TLZK is a different matter. As perfectly hiding polynomial commitments sometimes come at a substantial performance premium, SNARK designers prefer to employ deterministic commitments with some leakage. This results in the need for a stronger zero-knowledge property for the PIOP. The modularity of our approach implies that any analysis improvements, e.g. in terms of tightness, credibility of the knowledge assumption and model of the KS analysis, or the precision of capturing real-world optimizations for TLZK also benefits the SIM-EXT guarantees.

In this paper, we provide a systematic treatment for the batch arithmetic circuit satisfiability and evaluation problem. Building on the core idea which treats circuit inputs/outputs as a low-degree polynomials, we explore various interactive argument and proof schemes that can produce succinct proofs with short verification time. In particular, for the batch satisfiability problem, we provide a construction of succinct interactive argument of knowledge for generic log-space uniform circuits based on the bilinear pairing and common reference string assumption. Our argument has size in $O(poly(\lambda) \cdot (|\mathbf{w}| + d \log |C|))$, where $\lambda$ is the security parameter, $|\mathbf{w}|$ is the size of the witness, and $d$ and $|C|$ are the depth and size of the circuit, respectively. Note that the argument size is independent of the batch size. To the best of our knowledge, asymptotically it is the smallest among all known batch argument schemes that allow public verification. The batch satisfiablity problem simplifies to a batch evaluation problem when the circuit only takes in public inputs (i.e., no witness). For the evaluation problem, we construct statistically sound interactive proofs for various special yet highly important types of circuits, including linear circuits, and circuits representing sum of polynomials. Our proposed protocols are able to achieve proof sizes independent of the batch size. We also describe protocols optimized specifically for batch FFT and batch matrix multiplication which achieve desirable properties, including lower prover time and better composability. We believe these protocols are of interest in their own right and can be used as primitives in more complex applications.

We show that the key agreement scheme [IEEE Internet Things J., 9(12), 2022, 9918--9933] is flawed. In order to authenticate each other, all participants use message authentication code (MAC) to generate tags for exchanged data. But MAC is a cryptographic technique which requires that the sender and receiver share a symmetric key. The scheme tries to establish a new shared key by using an old shared key, which results in a vicious circle. To the best of our knowledge, it is the first time to discuss such a flaw in the related literatures.

This paper establishes the computational complexity of the Quasi-Cyclic Syndrome Decoding Problem (QC-SDP). We introduce a novel characterization of Quasi-Cyclic (QC) codes that generalizes their structure and reveals connections to random codes. Building on this characterization, we prove that QC-SDP is NP-hard and that its decision variant is NP-complete. These results provide the first formal complexity treatment of QC-SDP in its general form, addressing a fundamental open question in code-based cryptography. We also discuss the practical implications and limitations of these theoretical findings for cryptographic applications.

We design DiStefano: an efficient, maliciously-secure framework for generating private commitments over TLS-encrypted web traffic, for verification by a designated third-party. DiStefano provides many improvements over previous TLS commitment systems, including: a modular protocol specific to TLS 1.3, support for arbitrary verifiable claims over encrypted data, client browsing history privacy amongst pre-approved TLS servers, and various optimisations to ensure fast online performance of the TLS 1.3 session. We build a permissive open-source implementation of DiStefano integrated into the BoringSSL cryptographic library (used by Chromium-based Internet browsers). We show that DiStefano is practical in both LAN and WAN settings for committing to facts in arbitrary TLS traffic, requiring \(<\) 1 s and \(≤\) 80 KiB to execute the complete online phase of the protocol.

We show that every language in NP has an Interactive Oracle Proof (IOP) with inverse polynomial soundness error and small query complexity. This achieves parameters that surpass all previously known PCPs and IOPs. Specifically, we construct an IOP with perfect completeness, soundness error $1/n$, round complexity $O(\log \log n)$, proof length $poly(n)$ over an alphabet of size $O(n)$, and query complexity $O(\log \log n)$. This is a step forward in the quest to establish the sliding-scale conjecture for IOPs (which would additionally require query complexity $O(1)$). Our main technical contribution is a high-soundness small-query proximity test for the Reed-Solomon code. We construct an IOP of proximity for Reed-Solomon codes, over a field $\mathbb{F}$ with evaluation domain $L$ and degree $d$, with perfect completeness, soundness error (roughly) $\max\{1-\delta , O(\rho^{1/4})\}$ for $\delta$-far functions, round complexity $O(\log \log d)$, proof length $O(|L|/\rho)$ over $\mathbb{F}$, and query complexity $O(\log \log d)$; here $\rho = (d+1)/|L|$ is the code rate. En route, we obtain a new high-soundness proximity test for bivariate Reed-Muller codes. The IOP for NP is then obtained via a high-soundness reduction from NP to Reed-Solomon proximity testing with rate $\rho = 1/poly(n)$ and distance $\delta = 1-1/poly(n)$ (and applying our proximity test). Our constructions are direct and efficient, and hold the potential for practical realizations that would improve the state-of-the-art in real-world applications of IOPs.

To mitigate the negative effects of the maximal extractable value (MEV), we propose techniques that utilize randomized permutation to shuffle the order of transactions in a committed block before execution. We argue that existing approaches based on encrypted mempools cannot provide sufficient mitigation, particularly against block producer, and can be extended by permutation-based techniques to provide multi-layer protection. With a focus on PoS committee-based consensus we then introduce BlindPerm, a framework enhancing an encrypted mempool with permutation and present various optimizations. Notably, we propose a protocol where this enhancement comes at essentially no overheads by piggybacking on the encrypted mempool. Further, we demonstrate how to extend our mitigation technique to support PoW longest-chain consensus. Finally, we illustrate the effectiveness of our solutions on arbitrage and sandwich attacks as the two main types of MEV extraction through running simulations using historical Ethereum data.

During the pandemic, the limited functionality of existing privacy-preserving contact tracing systems highlights the need for new designs. Wang et al. proposed an environmental-adaptive framework (CSS '21) but failed to formalize the security. The similarity between their framework and attribute-based credentials (ABC) inspires us to reconsider contact tracing from the perspective of ABC schemes. In such schemes, users can obtain credentials on attributes from issuers and prove the credentials anonymously (i.e., hiding sensitive information of both user and issuer). This work first extends ABC schemes with auditability, which enables designated auditing authorities to revoke the anonymity of particular issuers. For this purpose, we propose an ``auditable public key (APK)'' mechanism that extends the updatable public key by Fauzi et al. (AsiaCrypt '19). We provide formal security definitions regarding auditability and build our auditable ABC scheme by adding a DDH-based APK to Connolly et al.'s ABC construction (PKC '22). Note that the APK mechanism can be used as a plug-in for other cryptographic primitives and may be of independent interest. Finally, regarding contact tracing, we refine Wang et al.'s framework and present a formal treatment that includes security definitions and protocol construction. An implementation is provided to showcase the practicality of our design.

Proof-of-useful-work (PoUW), an alternative to the widely used proof-of-work (PoW), aims to re-purpose the network's computing power. Namely, users evaluate meaningful computational problems, e.g., solving optimization problems, instead of computing numerous hash function values as in PoW. A recent approach utilizes the training process of deep learning as ``useful work''. However, these works lack security analysis when deploying them with blockchain-based protocols, let alone the informal and over-complicated system design. This work proposes a distributed proof-of-deep-learning (D-PoDL) scheme concerning PoUW's requirements. With a novel hash-traininßg-hash structure and model-referencing mechanism, our scheme is the first deep learning-based PoUW scheme that enables achieving better accuracy distributively. Next, we introduce a transformation from the D-PoDL scheme to a generic D-PoDL blockchain protocol which can be instantiated with two chain selection rules, i.e., the longest-chain rule and the weight-based blockchain framework (LatinCrypt' 21). This work is the first to provide formal proofs for deep learning-involved blockchain protocols concerning the robust ledger properties, i.e., chain growth, chain quality, and common prefix. Finally, we implement the D-PoDL scheme to discuss the effectiveness of our design.

An encryption scheme is Key Dependent Message (KDM) secure if it is safe to encrypt messages that can arbitrarily depend on the secret keys themselves. In this work, we show how to upgrade essentially the weakest form of KDM security into the strongest one. In particular, we assume the existence of a symmetric-key bit-encryption that is circular-secure in the $1$-key setting, meaning that it maintains security even if one can encrypt individual bits of a single secret key under itself. We also rely on a standard CPA-secure public-key encryption. We construct a public-key encryption scheme that is KDM secure for general functions (of a-priori bounded circuit size) in the multi-key setting, meaning that it maintains security even if one can encrypt arbitrary functions of arbitrarily many secret keys under each of the public keys. As a special case, the latter guarantees security in the presence of arbitrary length key cycles. Prior work already showed how to amplify $n$-key circular to $n$-key KDM security for general functions. Therefore, the main novelty of our work is to upgrade from $1$-key to $n$-key security for arbitrary $n$. As an independently interesting feature of our result, our construction does not need to know the actual specification of the underlying 1-key circular secure scheme, and we only rely on the existence of some such scheme in the proof of security. In particular, we present a universal construction of a multi-key KDM-secure encryption that is secure as long as some 1-key circular-secure scheme exists. While this feature is similar in spirit to Levin's universal construction of one-way functions, the way we achieve it is quite different technically, and does not come with the same ``galactic inefficiency''.

In this work, we extend the MPC-in-the-head framework, used in recent efficient zero-knowledge protocols, to work over the ring $\mathbb{Z}_{2^k}$, which is the primary operating domain for modern CPUs. The proposed schemes are compatible with any threshold linear secret sharing scheme and draw inspiration from MPC protocols adapted for ring operations. Additionally, we explore various batching methodologies, leveraging Shamir's secret sharing schemes and Galois ring extensions, and show the applicability of our approach in RAM program verification. Finally, we analyse different options for instantiating the resulting ZK scheme over rings and compare their communication costs.

Public data can be authenticated by obtaining from a trustworthy website with TLS. Private data, such as user profile, are usually restricted from public access. If a user wants to authenticate his private data (e.g., address) provided by a restricted website (e.g., user profile page of a utility company website) to a verifier, he cannot simply give his username and password to the verifier. DECO (CCS 2020) provides a solution for liberating these data without introducing undesirable trust assumption, nor requiring server-side modification. Their implementation is mainly based on TLS 1.2. In this paper, we propose an optimized solution for TLS 1.3 websites. We tackle a number of open problems, including the support of X25519 key exchange in TLS 1.3, the design of round-optimal three-party key exchange, the architecture of two-party computation of TLS 1.3 key scheduling, and circuit design optimized for two-party computation. We test our implementation with real world website and show that our optimization is necessary to avoid timeout in TLS handshake.

Deep neural networks (DNNs) represent a powerful technique for assessing cryptographic security concerning side-channel analysis (SCA) due to their ability to aggregate leakages automatically, rendering attacks more efficient without preprocessing. Nevertheless, despite their effectiveness, DNNs employed in SCA are predominantly black-box algorithms, posing considerable interpretability challenges. In this paper, we propose a novel technique called Key Guessing Occlusion (KGO) that acquires a minimal set of sample points required by the DNN for key recovery, which we call OccPoIs. These OccPoIs provide information on which areas of the traces are important to the DNN for retrieving the key, enabling evaluators to know where to refine their cryptographic implementation. After obtaining the OccPoIs, we first explore the leakages found in these OccPoIs to understand what the DNN is learning with first-order Correlation Power Analysis (CPA). We show that KGO obtains relevant sample points that have a high correlation with the given leakage model but also acquires sample points that first-order CPA fails to capture. Furthermore, unlike the first-order CPA in the masking setting, KGO obtains these OccPoIs without the knowledge of the shares or mask. Next, we employ the template attack (TA) using the OccPoIs to investigate if KGO could be used as a feature selection tool. We show that using the OccPoIs with TA can recover the key for all the considered synchronized datasets and is consistent as a feature selection tool even on datasets protected by first-order masking. Furthermore, it also allows a more efficient attack than other feature selections on the first-order masking dataset called ASCADf.

This paper studies the quantum computational complexity of the discrete logarithm (DL) and related group-theoretic problems in the context of ``generic algorithms''---that is, algorithms that do not exploit any properties of the group encoding. We establish the quantum generic group model and hybrid classical-quantum generic group model as quantum and hybrid analogs of their classical counterpart. This model counts the number of group operations of the underlying cyclic group $G$ as a complexity measure. Shor's algorithm for the discrete logarithm problem and related algorithms can be described in this model and make $O(\log |G|)$ group operations in their basic form. We show the quantum complexity lower bounds and (almost) matching algorithms of the discrete logarithm and related problems in these models. * We prove that any quantum DL algorithm in the quantum generic group model must make $\Omega(\log |G|)$ depth of group operation queries. This shows that Shor's algorithm that makes $O(\log |G|)$ group operations is asymptotically optimal among the generic quantum algorithms, even considering parallel algorithms. * We observe that some (known) variations of Shor's algorithm can take advantage of classical computations to reduce the number and depth of quantum group operations. We show that these variants are optimal among generic hybrid algorithms up to constant multiplicative factors: Any generic hybrid quantum-classical DL algorithm with a total number of (classical or quantum) group operations $Q$ must make $\Omega(\log |G|/\log Q)$ quantum group operations of depth $\Omega(\log\log |G| - \log\log Q)$. * When the quantum memory can only store $t$ group elements and use quantum random access classical memory (QRACM) of $r$ group elements, any generic hybrid quantum-classical algorithm must make either $\Omega(\sqrt{|G|})$ group operation queries in total or $\Omega(\log |G|/\log (tr))$ quantum group operation queries. In particular, classical queries cannot reduce the number of quantum queries beyond $\Omega(\log |G|/\log (tr))$. As a side contribution, we show a multiple discrete logarithm problem admits a better algorithm than solving each instance one by one, refuting a strong form of the quantum annoying property suggested in the context of password-authenticated key exchange protocol.

The majority of secure messengers have single, centralized service providers that relay ciphertexts between users to enable asynchronous communication. However, in some scenarios such as mass protests in censored networks, relying on a centralized provider is fatal. Mesh messengers attempt to solve this problem by building ad hoc networks in which user clients perform the ciphertext-relaying task. Yet, recent analyses of widely deployed mesh messengers discover severe security weaknesses (Albrecht et al. CT-RSA'21 & USENIX Security'22). To support the design of secure mesh messengers, we provide a new, more complete security model for mesh messaging. Our model captures forward and post-compromise security, as well as forward and post-compromise anonymity, both of which are especially important in this setting. We also identify novel, stronger confidentiality goals that can be achieved due to the special characteristics of mesh networks (e.g., delayed communication, distributed network and adversary). Finally, we develop a new protocol, called ASMesh, that provably satisfies these security goals. For this, we revisit Signal's Double Ratchet and propose non-trivial enhancements. On top of that, we add a mechanism that provides forward and post-compromise anonymity. Thus, our protocol efficiently provides strong confidentiality and anonymity under past and future user corruptions. Most of our results are also applicable to traditional messaging. We prove security of our protocols and evaluate their performance in simulated mesh networks. Finally, we develop a proof of concept implementation.

Shor's algorithm efficiently solves the discrete logarithm problem (DLP) by taking advantage of the commutativity structure of the group underlying the problem. To counter Shor's algorithm, Horan et al. propose a DLP analogue in the semidirect product semigroup $G\rtimes \mathrm{End}(G)$, given a (semi)group $G$, to construct a quantum-resistant Diffie-Hellman key exchange based on it. For general (semi)groups, the semidirect discrete logarithm problem (SDLP) can be reduced to the hidden shift problem where Kuperberg's subexponential quantum algorithm is applicable. In this paper, we consider a specific case where $G$ is an elliptic curve over a finite field and we show that SDLP on elliptic curves can be solved efficiently using an adaptation of Shor's algorithm for the standard elliptic curve discrete logarithm problem (ECDLP). The key implication of the result is that one should not use elliptic curves as the platforms for the semidirect product key exchange.

Zero-knowledge proof systems are becoming increasingly prevalent and being widely used to secure decentralized financial systems and protect the privacy of users. Given the sensitivity of these applications, zero-knowledge proof systems are a natural target for formal verification methods. We describe methods for checking one such proof system: Halo2. We use abstract interpretation and an SMT solver to check various properties of Halo2 circuits. Using abstract interpretation, we can detect unused gates, unconstrained cells, and unused columns. Using an SMT solver, we can detect under-constrained (in the sense that for the same public input they have two efficiently computable satisfying assignments) circuits. This is the first work we are aware of that applies lightweight formal methods to PLONKish arithmetization and Halo2 circuits.

We construct a succinct non-interactive argument ($\mathsf{SNARG}$) for the class of monotone policy batch $\mathsf{NP}$ languages under the Learning with Errors ($\mathsf{LWE}$) assumption. This class is a subclass of $\mathsf{NP}$ that is associated with a monotone function~$f:\{0,1\}^k\rightarrow\{0,1\}$ and an $\mathsf{NP}$ language $\mathcal L$, and contains instances $(x_1,\ldots,x_k)$ such that $f(b_1,\ldots,b_k)=1$ where $b_j=1$ if and only if $x_j\in \mathcal L$. Our $\mathsf{SNARG}$s are arguments of knowledge in the non-adaptive setting, and satisfy a new notion of somewhere extractability against adaptive adversaries. This is the first $\mathsf{SNARG}$ under standard hardness assumptions for a sub-class of $\mathsf{NP}$ that is not known to have a (computational) non-signaling $\mathsf{PCP}$ with small locality. Indeed, our approach necessarily departs from the known framework of constructing $\mathsf{SNARG}$s dating back to [Kalai-Raz-Rothblum, STOC '13] Our construction combines existing quasi-arguments for $\mathsf{NP}$ (based on batch arguments for $\mathsf{NP}$) with a novel ingredient which we call a predicate-extractable hash ($\mathsf{PEH}$) family. This notion generalizes the notion of a somewhere extractable hash. Whereas a somewhere extractable hash allows to extract a single input coordinate, our $\mathsf{PEH}$ extracts a global property of the input. We view this primitive to be of independent interest, and believe that it will find other applications.

The low-degree method postulates that no efficient algorithm outperforms low-degree polynomials in certain hypothesis-testing tasks. It has been used to understand computational indistinguishability in high-dimensional statistics. We explore the use of the low-degree method in the context of cryptography. To this end, we apply it in the design and analysis of a new public-key encryption scheme whose security is based on Goldreich's pseudorandom generator. The scheme is a combination of two proposals of Applebaum, Barak, and Wigderson, and inherits desirable features from both.

Topological Data Analysis (TDA) offers a suite of computational tools that provide quantified shape features in high dimensional data that can be used by modern statistical and predictive machine learning (ML) models. In particular, persistent homology (PH) takes in data (e.g., point clouds, images, time series) and derives compact representations of latent topological structures, known as persistence diagrams (PDs). Because PDs enjoy inherent noise tolerance, are interpretable and provide a solid basis for data analysis, and can be made compatible with the expansive set of well-established ML model architectures, PH has been widely adopted for model development including on sensitive data, such as genomic, cancer, sensor network, and financial data. Thus, TDA should be incorporated into secure end-to-end data analysis pipelines. In this paper, we take the first step to address this challenge and develop a version of the fundamental algorithm to compute PH on encrypted data using homomorphic encryption (HE).

We construct the first tight verifiable delay function (VDF) where the evaluation algorithm only evaluates sequentially the function and hence outputs and empty proof, verification is independent of time parameter $T$ and setup has constant size parameters. Our VDF is based on repeated squaring in hidden order groups, but it requires that coins used to sample a random instance must be kept secret in order to guarantee sequentiality. We denote such a VDF as a private coin verifiable delay function and show that it can be used to obtain multiplicatively homomorphic non-interactive timed commitment with efficient publicly verifiable force decommitment algorithm.

Lattice-based cryptographic schemes such as Crystals-Kyber and Dilithium are post-quantum algorithms selected to be standardized by NIST as they are considered to be secure against quantum computing attacks. The multiplication in polynomial rings is the most time-consuming operation in many lattice-based cryptographic schemes, which is also subject to side-channel attacks. While NTT-based polynomial multiplication is almost a norm in a wide range of implementations, a relatively new method, incomplete NTT is preferred to accelerate lattice-based cryptography, especially on some computing platforms that feature special instructions. In this paper, we present a novel, efficient and non-profiled power/EM side-channel attack targeting polynomial multiplication based on the incomplete NTT algorithm. We apply the attack on the Crystals-Dilithium signature algorithm and Crystals-Kyber KEM. We demonstrate that the method accelerates attack run-time when compared to the existing approaches. While a conventional non-profiled side-channel attack tests a much larger hypothesis set because it needs to predict two coefficients of secret polynomials together, we propose a much faster zero-value filtering attack (ZV-FA), which reduces the size of the hypothesis set by targeting the coefficients individually. We also propose an effective and efficient validation and correction technique employing the inverse NTT to estimate and modify the mispredicted coefficients. Our experimental results show that we can achieve a speed-up of 1915x over brute-force.

Zero-knowledge proofs are widely used in real-world applications, such as authentication, access control, blockchains, and cryptocurrencies. The underlying hash function is a core element in these zero-knowledge proof systems, and it plays a vital role in its efficiency. While traditional hash functions, such as SHA3 or BLAKE, are efficient on CPU architectures, they perform poorly within proof systems. This is primarily because these systems require functions that operate efficiently over finite fields, without mixing operations from different algebras. To address this challenge, a new paradigm called Arithmetization-Orientation has emerged. These designs are tailored for efficiency within proof systems while providing reliable security guarantees. Several such hash functions have been proposed, many have been successfully targeted by algebraic attacks or fail to provide optimal performances. In this work, we provide a new framework to design such hash functions that prevent these attacks and allow a highly efficient implementation in various proof systems. To this end, we combine the Marvellous design strategy with a new type of S-boxes and propose a new security argument against algebraic attacks that relies on a single well-defined and reasonable conjecture of a novel type. Using these techniques in the framework, we construct four new hash functions, XHash12-Goldilocks, XHash8-Goldilocks, XHash24-M31, and XHash16-M31. These high-performance hash functions are designed for ZK-STARKs and Circle-STARKs.

The problem of designing authenticated key establishment protocols has a rich history. Since 1976 more than a hundred different protocols have been proposed. But the task of comparing and classifying existing protocols is usually complicated by the fact that they are described in different terms and with different levels of detail. This paper contains intermediate results on enumeration and uniform description of AKE protocols. We publish it in order to get feedback on the description principles used. Here we describe 100 AKE protocols (there are much more such protocols, but we found these earlier) in identical terms and the same level of detail. The proposed descriptions are not structured (chronologically only) but classifying of these protocols is future work direction.

In recent years, personal and medical data collected through mobile apps has become a useful data source for researchers. Platforms like Apple ResearchKit try to make it as easy as possible for non-experts to set up such data collection campaigns. However, since the collected data is sensitive, it must be well protected. Methods that provide technical privacy guarantees often limit the usefulness of the data and results. In this paper, we model and analyze mobile data donation to better understand the requirements that must be fulfilled by privacy-preserving approaches. To this end, we give an overview of the functionalities researchers require from data donation apps by analyzing existing apps. We also create a model of the current practice and analyze it using the LINDDUN privacy framework to identify privacy threats.

In response to side-channel attacks on masked implementations of post-quantum cryptographic algorithms, a new bitsliced higher-order masked implementation of CRYSTALS-Kyber has been presented at CHES'2022. The bitsliced implementations are typically more difficult to break by side-channel analysis because they execute a single instruction across multiple bits in parallel. However, in this paper, we reveal new vulnerabilities in the masked Boolean to arithmetic conversion procedure of this implementation that make the shared and secret key recovery possible. We also present a new chosen ciphertext construction method which maximizes secret key recovery probability for a given message bit recovery probability. We demonstrate practical shared and secret key recovery attacks on the first-, second- and third-order masked implementations of Kyber-768 in ARM Cortex-M4 using profiled deep learning-based power analysis.

Suppose two parties have hash functions $h_1$ and $h_2$ respectively, but each only trusts the security of their own. We wish to build a hash combiner $C^{h_1, h_2}$ which is secure so long as either one of the underlying hash functions is. This question has been well-studied in the regime of collision resistance. In this case, concatenating the two hash outputs clearly works. Unfortunately, a long series of works (Boneh and Boyen, CRYPTO'06; Pietrzak, Eurocrypt'07; Pietrzak, CRYPTO'08) showed no (noticeably) shorter combiner for collision resistance is possible. We revisit this pessimistic state of affairs, motivated by the observation that collision-resistance is insufficient for many applications of cryptographic hash functions anyway. We argue the right formulation of the "hash combiner" is what we call random oracle (RO) combiners. Indeed, we circumvent the previous lower bounds for collision resistance by constructing a simple length-preserving RO combiner $$\widetilde{C}_{\mathcal{Z}_1,\mathcal{Z}_2}^{h_1,h_2}(M) = h_1(M, \mathcal{Z}_1) \oplus h_2(M, \mathcal{Z}_2),$$ where $\mathcal{Z}_1, \mathcal{Z}_2$ are random salts of appropriate length. We show that this extra randomness is necessary for RO combiners, and indeed our construction is somewhat tight with this lower bound. On the negative side, we show that one cannot generically apply the composition theorem to further replace "monolithic" hashes $h_1$ and $h_2$ by some simpler indifferentiable construction (such as the Merkle-Damgård transformation) from smaller components, such as fixed-length compression functions. Despite this issue, we directly prove collision resistance of the Merkle-Damgård variant of our combiner, where $h_1$ and $h_2$ are replaced by iterative Merkle-Damgård hashes applied to fixed-length compression functions. Thus, we can still subvert the concatenation barrier for collision-resistance combiners using practically small components.

Homomorphic encryption (HE) enables computation delegation to untrusted third parties while maintaining data confidentiality. Hybrid encryption (a.k.a transciphering) allows a reduction in the number of ciphertexts and storage size, which makes FHE solutions practical for a variety of modern applications. Still, modern transciphering has three main drawbacks: 1) lack of standardization or bad performance of symmetric decryption under FHE; 2) post-HE-evaluation is limited to small-size applications; 3) lack of input data integrity. Interestingly, modern-size secure inference applications were demonstrated using approximated FHE schemes such as CKKS. However, implementing transciphering using standard Authenticated Encryption (AE) over CKKS is challenging due to its approximated nature. In this paper, we aim to close these gaps. First, we report and demonstrate the first end-to-end process that uses transciphering for real-world applications i.e., running deep neural network (DNN) inference under encryption. For that, we discuss the concept of Authenticated Transciphering (AT), which like AE, provides some integrity guarantees for the transciphered data. Finally, to demonstrate the AT concept, we report on the first implementation of Ascon decryption under CKKS, and complete the picture with a detailed technical description of our AES-GCM implementation under CKKS.

Modern security systems depend fundamentally on the ability of users to authenticate their communications to other parties in a network. Unfortunately, cryptographic authentication can substantially undermine the privacy of users. One possible solution to this problem is to use privacy-preserving cryptographic authentication. These protocols allow users to authenticate their communications without revealing their identity to the verifier. In the non-interactive setting, the most common protocols include blind, ring, and group signatures, each of which has been the subject of enormous research in the security and cryptography literature. These primitives are now being deployed at scale in major applications, including Intel's SGX software attestation framework. The depth of the research literature and the prospect of large-scale deployment motivate us to systematize our understanding of the research in this area. This work provides an overview of these techniques, focusing on applications and efficiency.

The advent of quantum computers poses a serious challenge to the security of cloud infrastructures and services, as they can potentially break the existing public-key cryptosystems, such as Rivest–Shamir–Adleman (RSA) and Elliptic Curve Cryptography (ECC). Even though the gap between today’s quantum computers and the threats they pose to current public-key cryptography is large, the cloud landscape should act proactively and initiate the transition to the post-quantum era as early as possible. To comply with that, the U.S. government issued a National Security Memorandum in May 2022 that mandated federal agencies to migrate to post-quantum cryptosystems (PQC) by 2035. To ensure the long-term security of cloud computing, it is imperative to develop and deploy PQC resistant to quantum attacks. A promising class of post-quantum cryptosystems is based on lattice problems, which require polynomial arithmetic. In this paper, we propose and implement a scalable number-theoretic transform (NTT) architecture that significantly enhances the performance of polynomial multiplication. Our proposed design exploits multi-levels of parallelism to accelerate the NTT computation on reconfigurable hardware. We use the high-level synthesis (HLS) method to implement our design, which allows us to describe the NTT algorithm in a high-level language and automatically generate optimized hardware code. HLS facilitates rapid prototyping and enables us to explore different design spaces and trade-offs on the hardware platforms. Our experimental results show that our design achieves 11$\times$ speedup compared to the state-of-the-art requiring only 14 clock cycles for an NTT computation over a polynomial of degree 256. To demonstrate the applicability of our design, we also present a coprocessor architecture for Kyber, a key encapsulation mechanism (KEM) chosen by the NIST post-quantum standardization process, that utilizes our scalable NTT core.

Modern system-on-chip (SoC) designs are becoming prone to numerous security threats due to their critical applications and ever-growing complexity and size. Therefore, the early stage of the design flow requires comprehensive security verification. The control flow of an SoC, generally implemented using finite state machines (FSMs), is not an exception to this requirement. Any deviations from the desired flow of FSMs can cause serious security issues. On the other hand, the control FSMs may be prone to fault-injection and denial-of-service (DoS) attacks or have inherent information leakage and access control issues at the gate-level netlist abstraction. Therefore, defining a set of security rules (guidelines) for obtaining FSM implementations free from particular security vulnerabilities after performing logic synthesis is crucial. Unfortunately, as of today, no solution exists in the state-of-the-art domain to verify the security of control FSMs. In this paper, we propose a set of such security rules for control FSM design and a verification framework called ARC-FSM-G to check for those security rule violations at pre-silicon to prevent any security vulnerabilities of FSM against fault-injection, access control, and information leakage threats. Experimental results on several benchmarks varying in size and complexity illustrate that ARC-FSM-G can effectively check for violations of all the proposed rules within a few seconds.

Perfect ciphers have been a very attractive cryptographic tool ever since C. Shannon described them. Note that, by definition, if a perfect cipher is used, no one can get any information about the encrypted message without knowing the secret key. We consider the problem of reducing the key length of perfect ciphers, because in many applications the length of the secret key is a crucial parameter. This paper describes a simple method of key length reduction. This method gives a perfect cipher and is based on the use of data compression and randomisation, and the average key length can be made close to Shannon entropy (which is the key length limit). It should be noted that the method can effectively use readily available data compressors (archivers).

We introduce a new candidate post-quantum digital signature scheme from the regular syndrome decoding (RSD) assumption, an established variant of the syndrome decoding assumption which asserts that it is hard to find $w$-regular solutions to systems of linear equations over $\mathbb{F}_2$ (a vector is regular if it is a concatenation of $w$ unit vectors). Our signature is obtained by introducing and compiling a new 5-round zero-knowledge proof system constructed using the MPC-in-the-head paradigm. At the heart of our result is an efficient MPC protocol in the preprocessing model that checks the correctness of a regular syndrome decoding instance by using a share ring-conversion mechanism. The analysis of our construction is non-trivial and forms a core technical contribution of our work. It requires careful combinatorial analysis and combines several new ideas, such as analyzing soundness in a relaxed setting where a cheating prover is allowed to use any witness sufficiently close to a regular vector. We complement our analysis with an in-depth overview of existing attacks against RSD. Our signatures are competitive with the best-known code-based signatures, ranging from $12.52$ KB (fast setting, with a signing time of the order of a few milliseconds on a single core of a standard laptop) to about $9$ KB (short setting, with estimated signing time of the order of 15ms).

With the growing number of decentralized finance (DeFi) applications, transaction fairness in blockchains has gained much research interest. As a broad concept in distributed systems and blockchains, fairness has been used in different contexts, varying from ones related to the liveness of the system to ones that focus on the received order of transactions. In this work, we revisit the fairness definitions and find that existing fairness definitions are not adapted to blockchains with multiple DApps. We then provide a more generic one called verifiable fairness. Compared with prior definitions, our notion has two unique features: (i) it relaxes the ordering rules to a predicate; (ii) it enables users to independently verify if their transactions comply with the predicate for concrete applications. We also provide a scheme that achieves verifiable fairness, leveraging trusted hardware. Unlike prior works that usually design a dedicated consensus protocol to achieve fairness, our scheme can be integrated with any blockchain system. Our evaluation results on Amazon EC2 using up to 120 instances across different regions show that our construction imposes only minimal overhead on existing blockchain systems.

Our research focuses on designing efficient commitment schemes by drawing inspiration from (perfect) information-theoretical secure primitives, e.g., the one-time pad and secret sharing. We use a random input as a mask for the committed value, outputting a function on the random input. Then, couple the output with the committed value xored with folded random input. First, we explore the potential of leveraging the unique properties of the one-time pad to design effective one-way functions. Our methodology applies the exclusive-or (xor) operation to two randomly chosen strings. To address concerns related to preimage mappings, we incorporate error detection codes. Additionally, we utilize permutations to overcome linearity issues in the computation process. Feistel networks are employed to ensure super pseudo-random permutation using the (random string) input (that serves as the commitment mask) and also as the encryption key. We propose integrating a secret-sharing scheme based on a linear polynomial to mitigate possible collisions. Lastly, we explore the possibility of nesting one-way functions as a countermeasure against potential backdoors. The resulting commitment schemes are efficient, in particular, have fewer layers than the standard cryptographic hash functions, such as SHA, and may fit the NIST effort for lightweight IoT cryptography (e.g., ASCON).

This paper's primary purpose is to provide a source of introductory information into building a zero knowledge proof system for general computation. We review how to build such a system with a polynomial commitment scheme, and how to implement a fully functional command set in terms of zero knowledge primitives.

In 2022, Hosny et al. introduce an image encryption scheme that employs a fractional-order chaotic system. Their approach uses the hyper-chaotic system to generate the system's main parameter, namely a secret permutation which is dependent on the size and the sum of the pixels of the source image. According to the authors, their scheme offers adequate security (i.e. $498$ bits) for transmitting color images over unsecured channels. Nevertheless, in this paper we show that the scheme's security is independent on the secret parameters used to initialize the hyper-chaotic system. More precisely, we provide a brute-force attack whose complexity is $\mathcal O(2^{10.57}(WH)^3)$ and needs $2^{9.57}WH$ oracle queries, where $W$ and $H$ are the width and the height of the encrypted image. For example, for an image of size $4000 \times 3000$ ($12$ megapixels image) we obtain a security margin of $81.11$ bits, which is six times lower than the claimed bound. To achieve this result, we present two cryptanalytic attacks, namely a chosen plaintext attack and a chosen ciphertext attack.

The development of quantum computers, which employ a different paradigm of computation, is posing a threat to the security of cryptography. Narrowing down the scope to symmetric-key cryptography, the Grover search algorithm is probably the most influential in terms of its impact on security. Recently, there have been efforts to estimate the complexity of the Grover’s key search for symmetric key ciphers and evaluate their post-quantum security. In this paper, we present a depth-optimized implementation of a quantum circuit for ASCON, which is a symmetric key cipher that has recently been standardized in the NIST (National Institute of Standards and Technology) Lightweight Cryptography standardization. As far as we know, this is the first implementation of a quantum circuit for the ASCON AEAD (Authenticated Encryption with Associated Data) scheme. To our understanding, reducing the depth of the quantum circuit for the target cipher is the most effective approach for Grover’s key search. We demonstrate the optimal Grover’s key search cost for ASCON, along with a proposed depth-optimized quantum circuit. Further, based on the estimated cost, we evaluate the post-quantum security strength of ASCON according to relevant evaluation criteria and state-of-the-art research.

The hodlCoin game is a competitive zero-sum massively multiplayer staking protocol where the goal is to hodl (stake) an asset for long periods of time. By hodling, a user deposits coins of a given asset in a common reserve and receives a proportional amount of hodlCoins. Users who un-hodl (unstake) pay a fee that is accumulated in the common reserve. Thus, the longer a user hodls, in comparison with other users, the more the user will benefit from fees paid by the users who are un-hodling earlier. Surprisingly, we prove here that, thanks to the accumulation of fees, the price of hodlCoins in comparison with the underlying asset never decreases.

In public key encryption (PKE), anonymity is essential to ensure privacy by preventing the ciphertext from revealing the recipient’s identity. However, the literature has addressed the anonymity of PKE under different attack scenarios to a limited extent. Benhamouda et al. (TCC 2020) introduced the first formal definition of anonymity for PKE under corruption, and Huang et al. (ASIACRYPT 2022) made further extensions and provided a generic framework. In this paper, we introduce a new security notion named enhanced decryption key exposure resistance (En-DKER) for revocable identity-based encryption (RIBE). This notion ensures that the exposure of decryption keys within any time period will not compromise the confidentiality and anonymity of ciphertexts encrypted during different periods. Meanwhile, we construct the first RIBE scheme with En-DKER and prove its security under the learning with errors (LWE) assumption. Our scheme offers several advantages. Firstly, the periodic workload of the key generation center (KGC) in our scheme is nearly zero. Secondly, the encryptor does not need to handle real-time revocation information of users within the system. Thirdly, the size of user secret keys remains constant in multi-bit encryption. Additionally, we present a novel approach to delegate a lattice basis. Diverging from the work of Cash et al. (J CRYPTOL 2012), our approach allows for the outsourcing of subsequent sampling operations to an untrusted server. Leveraging this approach, our scheme significantly reduces the periodic workload for users to generate decryption keys. Finally, we efficiently implemented our scheme using the number theory library (NTL) and multi-threaded parallel program. The experimental results confirm the advantages of our scheme.

With the ever greater adaptation of blockchain systems, smart contract based ecosystems have formed to provide financial services and other utility. This results in an ever increasing demand for transactions on blockchains, however, the amount of transactions per second on a given ledger is limited. Layer-2 systems attempt to improve scalability by taking transactions off-chain, with building blocks that are two party channels which are concatenated to form networks. Interaction between two parties requires (1) routing such a network, (2) interaction with and collateral from all intermediaries on the routed path and (3) interactions are often more limited compared to what can be done on the ledger. In contrast to that design, recent constructions such as Hydra Heads (FC’21) are both multi-party and isomorphic, allowing interactions to have the same expressiveness as on the ledger making it akin to a ledger located on Layer-2. The follow up Interhead Construction (MARBLE’22) further extends the protocol to connect Hydra Heads into networks by means of a “virtual” Hydra Head construction. This work puts forth an even greater generalization of the Interhead Protocol, allowing for inter- action across different Layer-2 ledgers with a multitude of improvements. As concrete example, our design is modular and lightweight, which makes it viable for both full virtual ledger constructions as well as straightfor- ward one-time interactions and payments systems.

In this paper we provide the implementation details and performance analysis of the lattice-based post-quantum commitment scheme introduced by Martínez and Morillo in their work titled «RLWE-Based Zero-Knowledge Proofs for Linear and Multiplicative Relations» together with the corresponding Zero-Knowledge Proofs of Knowledge (ZKPoK) of valid openings, linear and multiplicative relations among committed elements. We bridge the gap between the existing theoretical proposals and practical applications, thoroughly revisiting the security proofs of the aforementioned paper to obtain tight conditions that allow us to find the best sets of parameters for actual instantiations of the commitment scheme and its companion ZKPoK. Our implementation is very flexible and its parameters can be adjusted to obtain a trade-off between speed and memory usage, analyzing how suitable for practical use are the underlying lattice-based techniques. Moreover, our implementation further extends the literature of exact Zero-Knowledge proofs, providing ZKPoK of committed elements without any soundness slack.

Hash functions are a crucial component in incrementally verifiable computation (IVC) protocols and applications. Among those, recursive SNARKs and folding schemes require hash functions to be both fast in native CPU computations and compact in algebraic descriptions (constraints). However, neither SHA-2/3 nor newer algebraic constructions, such as Poseidon, achieve both requirements. In this work we overcome this problem in several steps. First, for certain prime field domains we propose a new design strategy called Kintsugi, which explains how to construct nonlinear layers of high algebraic degree which allow fast native implementations and at the same time also an efficient circuit description for zero-knowledge applications. Then we suggest another layer, based on the Feistel Type-3 scheme, and prove wide trail bounds for its combination with an MDS matrix. We propose a new permutation design named Monolith to be used as a sponge or compression function. It is the first arithmetization-oriented function with a native performance comparable to SHA3-256. At the same time, it outperforms Poseidon in a circuit using the Merkle tree prover in the Plonky2 framework. Contrary to previously proposed designs, Monolith also allows for efficient constant-time native implementations which mitigates the risk of side-channel attacks

This paper introduces the notion of timed secret sharing (TSS), which establishes lower and upper time bounds for secret reconstruction in a threshold secret sharing scheme. Such time bounds are particularly useful in scenarios where an early or late reconstruction of a secret matters. We propose several new constructions that offer different security properties and show how they can be instantiated efficiently using novel techniques. We highlight how our ideas can be used to break the public goods game, which is an issue inherent to threshold secret sharing-based systems, without relying on incentive mechanism. We achieve this through an upper time bound that can be implemented either via short-lived proofs, or the gradual release of additional shares, establishing a trade-off between time and fault tolerance. The latter independently provides robustness in the event of dropout by some portion of shareholders.

The substitution box (S-box) is an important nonlinear component in most symmetric cryptosystems and thus should have good properties. Its difference distribution table (DDT) and linear approximation table (LAT) affect the security of the cipher against differential and linear cryptanalysis. In most previous work, differential uniformity and linearity of an S-box are two primary cryptographic properties to impact the resistance against differential and linear attacks. In some cases, the branch number and fixed point are also be considered. However, other important cryptographic properties such as the frequency of differential uniformity (resp. linearity) and the number of Bad Input and Bad Output (BIBO) patterns in DDT (resp. LAT) are often ignored. These properties substantially affect lightweight cryptography based on substitution bit permutation networks (SbPN) such as PRESENT, GIFT and RECTANGLE. This paper introduces a new method to search for S-boxes satisfying all above criteria simultaneously. In our strategy, we transform the process of searching for S-boxes under certain constraints on cryptographic properties into a satisfiability (SAT) problem. As applications, we use our new approach to search out 4-bit and 5-bit S-boxes with the same or better cryptographic properties compared with the S-boxes from well-known ciphers. Finally, we also utilize our method to verify a conjecture proposed by Boura et al. in the case of all 3-bit and 4-bit S-boxes. We propose a proposition and two corollaries to reduce the search space in this verification.

Zero-knowledge middleboxes (ZKMBs) are a recent paradigm in which clients get privacy while middleboxes enforce policy: clients prove in zero knowledge that the plaintext underlying their encrypted traffic complies with network policies, such as DNS filtering. However, prior work had impractically poor performance and was limited in functionality. This work presents Zombie, the first system built using the ZKMB paradigm. Zombie introduces techniques that push ZKMBs to the verge of practicality: preprocessing (to move the bulk of proof generation to idle times between requests), asynchrony (to remove proving and verifying costs from the critical path), and batching (to amortize some of the verification work). Zombie’s choices, together with these techniques, reduce client and middlebox overhead by $\approx$ 3.5$\times$ lowering the critical path overhead for a DNS filtering application on commodity hardware to less than 300ms or, in the asynchronous configuration, to 0. As an additional contribution that is likely of independent interest, Zombie introduces a portfolio of techniques to efficiently encode regular expressions in probabilistic (and zero knowledge) proofs; these techniques offer significant asymptotic and constant factor improvements in performance over a standard baseline. Zombie builds on this portfolio to support policies based on regular expressions, such as data loss prevention.

Succinct Non-interactive Arguments of Knowledge (SNARKs) enable a party to cryptographically prove a statement regarding a computation to another party that has constrained resources. Practical use of SNARKs often involves a Zero-Knowledge Virtual Machine (zkVM) that receives an input program and input data, then generates a SNARK proof of the correct execution of the input program. Most zkVMs emulate the von Neumann architecture and must prove relations between a program's execution and its use of Random Access Memory. However, there are conceptually simpler models of computation that are naturally modeled in a SNARK yet are still practical for use. Nock is a minimal, homoiconic combinator function, a Turing-complete instruction set that is practical for general computation, and is notable for its use in Urbit. We introduce Eden, an Efficient Dyck Encoding of Nock that serves as a practical, SNARK-friendly combinator function and instruction set architecture. We describe arithmetization techniques and polynomial equations used to represent the Eden ISA in an Interactive Oracle Proof. Eden provides the ability to prove statements regarding the execution of any program that compiles down to the Eden ISA. We present the Eden zkVM, a particular instantiation of Eden as a zk-STARK.

Since the pioneering work of Gentry, Halevi, and Smart in 2012, the state of the art on transciphering has moved away from work on AES to focus on new symmetric algorithms that are better suited for a homomorphic execution. Yet, with recent advances in homomorphic cryptosystems, the question arises as to where we stand today. Especially since AES execution is the application that may be chosen by NIST in the FHE part of its future call for threshold encryption. In this paper, we propose an AES implementation using TFHE programmable bootstrapping which runs in less than a minute on an average laptop. We detail the transformations carried out on the original AES code to lead to a more efficient homomorphic evaluation and we also give several execution times on different machines, depending on the type of execution (sequential or parallelized). These times vary from 4.5 minutes (resp. 54 secs) for sequential (resp. parallel) execution on a standard laptop down to 28 seconds for a parallelized execution over 16 threads on a multi-core workstation.

Recently, a number of highly optimized threshold signing protocols for Schnorr signatures have been proposed. While these proposals contain important new techniques, some of them present and analyze these techniques in very specific contexts, making it less than obvious how these techniques can be adapted to other contexts, or combined with one another. The main goal of this paper is to abstract out and extend in various ways some of these techniques, building a toolbox of techniques that can be easily combined in different ways and in different contexts. To this end, we present security results for various "enhanced" modes of attack on the Schnorr signature scheme in the non-distributed setting, and we demonstrate how to reduce the security in the distributed threshold setting to these enhanced modes of attack in the non-distributed setting. This results in a very modular approach to protocol design and analysis, which can be used to easily design new threshold Schnorr protocols that enjoy better security and/or performance properties than existing ones.

At Asiacrypt 2021, Baksi et al. introduced DEFAULT, the first block cipher designed to resist differential fault attacks (DFA) at the algorithm level, boasting of a 64-bit DFA security. The cipher initially employed a straightforward key schedule, where a single key was XORed in all rounds, and the key schedule was updated by incorporating round-independent keys in a rotating fashion. However, during Eurocrypt 2022, Nageler et al. presented a DFA attack that exposed vulnerabilities in the claimed DFA security of DEFAULT, reducing it by up to 20 bits in the case of the simple key schedule and even allowing for unique key recovery in the presence of rotating keys. In this work, we have significantly improved upon the existing differential fault attack (DFA) on the DEFAULT cipher. Our enhanced attack allows us to effectively recover the encryption key with minimal faults. We have accomplished this by computing deterministic differential trails for up to five rounds, injecting around 5 faults into the simple key schedule for key recovery, recovering equivalent keys with just 36 faults in the DEFAULT-LAYER, and introducing a generic DFA approach suitable for round-independent keys within the DEFAULT cipher. These results represent the most efficient key recovery achieved for the DEFAULT cipher under DFA attacks. Additionally, we have introduced a novel fault attack called the Statistical-Differential Fault Attack (SDFA), specifically tailored for linear-structured SBOX-based ciphers like DEFAULT. This novel technique has been successfully applied to BAKSHEESH, resulting in a nearly unique key recovery. Our findings emphasize the vulnerabilities present in linear-structured SBOX-based ciphers, including both DEFAULT and BAKSHEESH, and underscore the challenges in establishing robust DFA protection for such cipher designs. In summary, our research highlights the significant risks associated with designing linear-structured SBOX-based block ciphers with the aim of achieving cipher-level DFA protection.

Threshold secret sharing allows a dealer to split a secret $s$ into $n$ shares, such that any $t$ shares allow for reconstructing $s$, but no $t-1$ shares reveal any information about $s$. Leakage-resilient secret sharing requires that the secret remains hidden, even when an adversary additionally obtains a limited amount of leakage from every share. Benhamouda et al. (CRYPTO'18) proved that Shamir's secret sharing scheme is one bit leakage-resilient for reconstruction threshold $t\geq0.85n$ and conjectured that the same holds for $t=c\cdot n$ for any constant $0\leq c\leq1$. Nielsen and Simkin (EUROCRYPT'20) showed that this is the best one can hope for by proving that Shamir's scheme is not secure against one-bit leakage when $t=c\cdot n/\log(n)$. In this work, we strengthen the lower bound of Nielsen and Simkin. We consider noisy leakage-resilience, where a random subset of leakages is replaced by uniformly random noise. We prove a lower bound for Shamir's secret sharing, similar to that of Nielsen and Simkin, which holds even when a constant fraction of leakages is replaced by random noise. To this end, we first prove a lower bound on the share size of any noisy-leakage-resilient sharing scheme. We then use this lower bound to show that there exist universal constants $c_1,c_2$, such that for infinitely many $n$, it holds that Shamir's secret sharing scheme is not noisy-leakage-resilient for $t\leq c_1\cdot n/\log(n)$, even when a $c_2$ fraction of leakages are replaced by random noise.

Anonymous credentials (AC) have emerged as a promising privacy-preserving solu- tion for user-centric identity management. They allow users to authenticate in an anonymous and unlinkable way such that only required information (i.e., attributes) from their credentials are re- vealed. With the increasing push towards decentralized systems and identity, e.g., self-sovereign identity (SSI) and the concept of verifiable credentials, this also necessitates the need for suit- able AC systems. For instance, when relying on existing AC systems, obtaining credentials from different issuers requires the presentation of independent credentials, which can become cum- bersome. Consequently, it is desirable for AC systems to support the so-called multi-authority (MA) feature. It allows a compact and efficient showing of multiple credentials from different is- suers. Another important property is called issuer hiding (IH). This means that showing a set of credentials is not revealed which issuer has issued which credentials but only whether a verifier- defined policy on the acceptable set of issuers is satisfied. This issue becomes particularly acute in the context of MA, where a user could be uniquely identified by the combination of issuers in their showing. Unfortunately, there are no AC schemes that satisfy both these properties simul- taneously. To close this gap, we introduce the concept of Issuer-Hiding Multi-Authority Anonymous Cre- dentials (IhMA). Our proposed solution involves the development of two new signature primi- tives with versatile randomization features which are independent of interest: 1) Aggregate Sig- natures with Randomizable Tags and Public Keys (AtoSa) and 2) Aggregate Mercurial Signatures (ATMS), which extend the functionality of AtoSa to additionally support the randomization of messages and yield the first instance of an aggregate (equivalence-class) structure-preserving sig- nature. These primitives can be elegantly used to obtain IhMA with different trade-offs but have applications beyond. We formalize all notations and provide rigorous security definitions for our proposed primi- tives. We present provably secure and efficient instantiations of the two primitives as well as corresponding IhMA systems. Finally, we provide benchmarks based on an implementation to demonstrate the practical efficiency of our constructions

Private computation on (labeled) set intersection (PCSI/PCLSI) is a secure computation protocol that allows two parties to compute fine-grained functions on set intersection, including cardinality, cardinality-sum, secret shared intersection, and arbitrary functions. Recently, some computationally efficient PCSI protocols have emerged, but a limitation of these protocols is the communication complexity, which scales (super)-linear with the size of the large set. This is of particular concern when performing PCSI in the unbalanced case, where one party is a constrained device with a small set, and the other is a service provider holding a large set. In this work, we first formalize a new ideal functionality called shared characteristic and its labeled variety called shared characteristic with labels, from which we propose the frameworks of PCSI/PCLSI protocols. By instantiating our frameworks, we obtain a series of efficient PCSI/PCLSI protocols, whose communication complexity is linear in the size of the small set, and logarithmic in the large set. We demonstrate the practicality of our protocols with implementations. Experiment results show that our protocols outperform previous ones and the larger difference between the sizes of two sets, the better our protocols perform. For input set sizes $2^{10}$ and $2^{22}$ with items of length $128$ bits, our PCSI requires only $4.62$MB of communication to compute the cardinality; $4.71$MB of communication to compute the cardinality-sum. Compared with the state-of-the-art PCSI proposed by Chen et al.~\cite{CZZD22}, there are $ 58 \times$ and $77 \times$ reductions in the communication cost of computing cardinality and cardinality-sum.

We introduce a new data-independent priority queue which supports amortized polylogarithmic-time insertions and constant-time deletions, and crucially, (non-amortized) constant-time \textit{read-front} operations, in contrast with a prior construction of Toft (PODC'11). Moreover, we reduce the number of required comparisons. Data-independent data structures - first identified explicitly by Toft, and further elaborated by Mitchell and Zimmerman (STACS'14) - facilitate computation on encrypted data without branching, which is prohibitively expensive in secure computation. Using our efficient data-independent priority queue, we introduce a new privacy-preserving dark pool application, which significantly improves upon prior constructions which were based on costly sorting operations. Dark pools are securities-trading venues which attain ad-hoc order privacy, by matching orders outside of publicly visible exchanges. In this paper, we describe an efficient and secure dark pool (implementing a full continuous double auction), building upon our priority queue construction. Our dark pool's security guarantees are cryptographic - based on secure multiparty computation (MPC) - and do not require that the dark pool operators be trusted. Our approach improves upon the asymptotic and concrete efficiency attained by previous efforts. Existing cryptographic dark pools process new orders in time which grows linearly in the size of the standing order book; ours does so in polylogarithmic time. We describe a concrete implementation of our protocol, with malicious security in the honest majority setting. We also report benchmarks of our implementation, and compare these to prior works. Our protocol reduces the total running time by several orders of magnitude, compared to prior secure dark pool solutions.

This work defines a notion of secure multiparty computation: MPC with fall-back security. Fall-back security for an $n$-party protocol is defined with respect to an adversary structure $\mathcal{Z}$ wherein security is guaranteed in the presence of both a computationally unbounded adversary with adversary structure $\mathcal{Z}$, and a computationally bounded adversary corrupting an arbitrarily large subset of the parties. This notion was considered in the work of Chaum (Crypto 89) via the Spymaster's double agent problem where he showed a semi-honest secure protocol for the honest majority adversary structure. Subsequent works extend this to give maliciously secure protocols tolerating threshold adversaries. Our first main result is a compiler that can transform any $n$-party protocol that is semi-honestly secure with statistical security tolerating a general adversary structure $\mathcal{Z}$ to one that (additionally) provides semi-honest fall-back security w.r.t $\mathcal{Z}$. The resulting protocol has optimal round complexity, up to a constant factor, and is optimal in assumptions and the adversary structure. Our second result fully characterizes when malicious fall-back security is feasible. More precisely, we show that malicious fallback secure protocol w.r.t $\mathcal{Z}$ exists if and only if $\mathcal{Z}$ admits unconditional MPC against a semi-honest adversary (namely, iff $\mathcal{Z} \in \mathcal{Q}^2$).

This paper introduces arithmetic sketching, an abstraction of a primitive that several previous works use to achieve lightweight, low-communication zero-knowledge verification of secret-shared vectors. An arithmetic sketching scheme for a language $\mathcal{L} \in \mathbb{F}^n$ consists of (1) a randomized linear function compressing a long input x to a short “sketch,” and (2) a small arithmetic circuit that accepts the sketch if and only if $x \in \mathcal{L}$, up to some small error. If the language $\mathcal{L}$ has an arithmetic sketching scheme with short sketches, then it is possible to test membership in $\mathcal{L}$ using an arithmetic circuit with few multiplication gates. Since multiplications are the dominant cost in protocols for computation on secret-shared, encrypted, and committed data, arithmetic sketching schemes give rise to lightweight protocols in each of these settings. Beyond the formalization of arithmetic sketching, our contributions are: – A general framework for constructing arithmetic sketching schemes from algebraic varieties. This framework unifies schemes from prior work and gives rise to schemes for useful new languages and with improved soundness error. – The first arithmetic sketching schemes for languages of sparse vectors: vectors with bounded Hamming weight, bounded $L_1$ norm, and vectors whose few non-zero values satisfy a given predicate. – A method for “compiling” any arithmetic sketching scheme for a language $\mathcal{L}$ into a low-communication malicious-secure multi-server protocol for securely testing that a client-provided secret-shared vector is in $\mathcal{L}$. We also prove the first nontrivial lower bounds showing limits on the sketch size for certain languages (e.g., vectors of Hamming-weight one) and proving the non-existence of arithmetic sketching schemes for others (e.g., the language of all vectors that contain a specific value).

Statistical sender privacy (SSP) is the strongest achievable security notion for two-message oblivious transfer (OT) in the standard model, providing statistical security against malicious receivers and computational security against semi-honest senders. In this work we provide a novel construction of SSP OT from the Decisional Diffie-Hellman (DDH) and the Learning Parity with Noise (LPN) assumptions achieving (asymptotically) optimal amortized communication complexity, i.e. it achieves rate 1. Concretely, the total communication complexity for $k$ OT instances is $2k(1+o(1))$, which (asymptotically) approaches the information-theoretic lower bound. Previously, it was only known how to realize this primitive using heavy rate-1 FHE techniques [Brakerski et al., Gentry and Halevi TCC'19]. At the heart of our construction is a primitive called statistical co-PIR, essentially a a public key encryption scheme which statistically erases bits of the message in a few hidden locations. Our scheme achieves nearly optimal ciphertext size and provides statistical security against malicious receivers. Computational security against semi-honest senders holds under the DDH assumption.

Privacy-preserving machine learning (PPML) promises to train machine learning (ML) models by combining data spread across multiple data silos. Theoretically, secure multiparty computation (MPC) allows multiple data owners to train models on their joint data without revealing the data to each other. However, the prior implementations of this secure training using MPC have three limitations: they have only been evaluated on CNNs, and LSTMs have been ignored; fixed point approximations have affected training accuracies compared to training in floating point; and due to significant latency overheads of secure training via MPC, its relevance for practical tasks with streaming data remains unclear. The motivation of this work is to report our experience of addressing the practical problem of secure training and inference of models for urban sensing problems, e.g., traffic congestion estimation, or air pollution monitoring in large cities, where data can be contributed by rival fleet companies while balancing the privacy-accuracy trade-offs using MPC-based techniques. Our first contribution is to design a custom ML model for this task that can be efficiently trained with MPC within a desirable latency. In particular, we design a GCN-LSTM and securely train it on time-series sensor data for accurate forecasting, within 7 minutes per epoch. As our second contribution, we build an end-toend system of private training and inference that provably matches the training accuracy of cleartext ML training. This work is the first to securely train a model with LSTM cells. Third, this trained model is kept secret-shared between the fleet companies and allows clients to make sensitive queries to this model while carefully handling potentially invalid queries. Our custom protocols allow clients to query predictions from privately trained models in milliseconds, all the while maintaining accuracy and cryptographic security

Circuit-based Private Set Intersection (circuit-PSI) refers to cryptographic protocols that let two parties with input set $X$ and $Y$ compute a function $f$ over the intersection set $X \cap Y$, without revealing any other information. The research efforts for circuit-PSI mainly focus on the case where input set sizes $|X|$ and $|Y|$ are similar so far, and they scale poorly for extremely unbalanced set sizes $|X| \gg |Y|$. Recently, Lepoint \textit{et al.} (ASIACRYPT'21) proposed the first dedicated solutions for this problem, which has online cost only linear in the small set size $|Y|$. However, it requires an expensive setup phase that requires huge storage of about $O(|X|)$ on the small set holder side, which can be problematic in applications where the small set holder is assumed to have restricted equipment. In this work, we suggest new efficient proposals for circuit-PSI tailored for unbalanced inputs, which feature {\emph{zero}} small set holder side storage, and comparable online phase performance to the previous work. At the technical core, we use homomorphic encryption (HE) based {\emph{plain}} PSI protocols of Cong \textit{et al.} (CCS'21), with several technically non-trivial arguments on algorithm and security. We demonstrate the superiority of our proposals in several input set sizes by an implementation. As a representative example, for input sets of size $2^{24}$ and $2^{12}$, our proposals require {\emph{zero}} storage on the small set holder whereas Lepoint \textit{et al.} requires over $7$GB. The online phase remains similar; over LAN network setting, ours takes $7.5$ (or $20.9$s) seconds with $45$MB (or $11.7$MB) communication, while Lepoint \textit{et al.} requires $4.2$ seconds with $117$MB communication.

In this work, we introduce a new attack for the Loidreau scheme [PQCrypto 2017] and its more recent variant LowMS. This attack is based on a constrained linear system for which we provide two solving approaches: - The first one is an enumeration algorithm inspired from combinatorial attacks on the Rank Decoding (RD) Problem. While the attack technique remains very simple, it allows us to obtain the best known structural attack on the parameters of these two schemes. - The second one is to rewrite it as a bilinear system over Fq. Even if Gröbner basis techniques on this second system seem infeasible, we provide a detailed analysis of the first degree fall polynomials which arise when applying such algorithms.

Incompressibility is a popular security notion for white-box cryptography and captures that a large encryption program cannot be compressed without losing functionality. Fouque, Karpman, Kirchner and Minaud (FKKM) defined strong incompressibility, where a compressed program should not even help to distinguish encryptions of two messages of equal length. Equivalently, the notion can be phrased as indistinguishability under chosen-plaintext attacks and key-leakage (LK-IND-CPA), where the leakage rate is high. In this paper, we show that LK-IND-CPA security with superlogarithmic-length leakage, and thus strong incompressibility, cannot be proven under standard (i.e. single-stage) assumptions, if the encryption scheme is key-fixing, i.e. a polynomial number of message-ciphertext pairs uniquely determine the key with high probability. Our impossibility result refutes a claim by FKKM that their big-key generation mechanism achieves strong incompressibility when combined with any PRG or any conventional encryption scheme, since the claim is not true for encryption schemes which are key-fixing (or for PRGs which are injective). In particular, we prove that the cipher block chaining (CBC) block cipher mode is key-fixing when modelling the cipher as a truly random permutation for each key. Subsequent to and inspired by our work, FKKM prove that their original big-key generation mechanism can be combined with a random oracle into an LK-IND-CPA-secure encryption scheme, circumventing the impossibility result by the use of an idealised model. Along the way, our work also helps clarifying the relations between incompressible white-box cryptography, big-key symmetric encryption, and general leakage resilient cryptography, and their limitations.

Consider the standard setting of two-party computation where the sender has a secret function $f$ and the receiver has a secret input $x$ and the output $f(x)$ is delivered to the receiver at the end of the protocol. Let us consider the unidirectional message model where only one party speaks in each round. In this setting, Katz and Ostrovsky (Crypto 2004) showed that at least four rounds of interaction between the parties are needed in the plain model (i.e., no trusted setup) if the simulator uses the adversary in a black-box way (a.k.a. black-box simulation). Suppose the sender and the receiver would like to run multiple sequential iterations of the secure computation protocol on possibly different inputs. For each of these iterations, do the parties need to start the protocol from scratch and exchange four messages? In this work, we explore the possibility of \textit{amortizing} the round complexity or in other words, \textit{reusing} a certain number of rounds of the secure computation protocol in the plain model. We obtain the following results. 1. Under standard cryptographic assumptions, we construct a four-round two-party computation protocol where (i) the first three rounds of the protocol could be reused an unbounded number of times if the receiver input remains the same and only the sender input changes, and (ii) the first two rounds of the protocol could be reused an unbounded number of times if the receiver input needs to change as well. In other words, the sender sends a single additional message if only its input changes, and in the other case, we need one message each from the receiver and the sender. The number of additional messages needed in each of the above two modes is optimal and, additionally, our protocol allows arbitrary interleaving of these two modes. 2. We also extend these results to the multiparty setting (in the simultaneous message exchange model) and give round-optimal protocols such that (i) the first two rounds could be reused an unbounded number of times if the inputs of the parties need to change and (ii) the first three rounds could be reused an unbounded number of times if the inputs remain the same but the functionality to be computed changes. As in the two-party setting, we allow arbitrary interleaving of the above two modes of operation.

Vehicular Social Networks (VSNs) rely on data shared by users to provide convenient services. Data is outsourced to the cloud server and the distributed roadside unit in VSNs. However, roadside unit has limited resources, so that data sharing process is inefficient and is vulnerable to security threats, such as illegal access, tampering attack and collusion attack. In this article, to overcome the shortcomings of security, we define a chain tolerance semi-trusted model to describe the credibility of distributed group based on the anti tampering feature of blockchain. We further propose a Blockchain-based Lightweight Access Control scheme in VSNs that resist tampering and collusion attacks, called BLAC. To overcome the shortcomings of efficiency, we design a ciphertext piece storage algorithm and a recovery one to achieve lightweight storage cost. In the decryption operation, we separate a pre-decryption algorithm based on outsourcing to achieve lightweight decryption computation cost on the user side. Finally, we present the formal security analyses and the simulation experiments for BLAC, and compare the results of experiments with existing relevant schemes. The security analyses show that our scheme is secure, and the results of experiments show that our scheme is lightweight and practical.

ECVRF is a verifiable random function (VRF) scheme used in multiple cryptocurrency systems. It has recently been proven to satisfy the notion of non-malleability which is useful in applications to blockchains (Peikert and Xu, CT-RSA 2023); however, the existing proof uses the rewinding technique and has a quadratic security loss. In this work, we re-analyze the non-malleability of ECVRF in the algebraic group model (AGM) and give a tight proof. We also compare our proof with the unforgeability proof for the Schnorr signature scheme in the AGM (Fuchsbauer, Plouviez and Seurin, EUROCRYPT 2020).

It is well known that without randomization, Byzantine agreement (BA) requires a linear number of rounds in the synchronous setting, while it is flat out impossible in the asynchronous setting. The primitive which allows to bypass the above limitation is known as oblivious common coin (OCC). It allows parties to agree with constant probability on a random coin, where agreement is oblivious, i.e., players are not aware whether or not agreement has been achieved. The starting point of our work is the observation that no known protocol exists for information-theoretic multi-valued OCC---i.e., OCC where the coin might take a value from a domain of cardinality larger than 2---with optimal resiliency in the asynchronous (with eventual message delivery) setting. This apparent hole in the literature is particularly problematic, as multi-valued OCC is implicitly or explicitly used in several constructions. (In fact, it is often falsely attributed to the asynchronous BA result by Canetti and Rabin [STOC ’93], which, however, only achieves binary OCC and does not translate to a multi-valued OCC protocol.) In this paper, we present the first information-theoretic multi-valued OCC protocol in the asynchronous setting with optimal resiliency, i.e., tolerating $t<n/3$ corruptions, thereby filling this important gap. Further, our protocol efficiently implements OCC with an exponential-size domain, a property which is not even achieved by known constructions in the simpler, synchronous setting. We then turn to the problem of round-preserving parallel composition of asynchronous BA. A protocol for this task was proposed by Ben-Or and El-Yaniv [Distributed Computing ’03]. Their construction, however, is flawed in several ways: For starters, it relies on multi-valued OCC instantiated by Canetti and Rabin's result (which, as mentioned above, only provides binary OCC). This shortcoming can be repaired by plugging in our above multi-valued OCC construction. However, as we show, even with this fix it remains unclear whether the protocol of Ben-Or and El-Yaniv achieves its goal of expected-constant-round parallel asynchronous BA, as the proof is incorrect. Thus, as a second contribution, we provide a simpler, more modular protocol for the above task. Finally, and as a contribution of independent interest, we provide proofs in Canetti's Universal Composability framework; this makes our work the first one offering composability guarantees, which are important as BA is a core building block of secure multi-party computation protocols.

The relationship between oblivious transfer (OT) and public-key encryption (PKE) has been studied by Gertner et al. (FOCS 2000). They showed that OT can be constructed from special types of PKE, i.e., PKE with oblivious sampleability of public keys or ciphertexts. In this work, we give new black-box constructions of OT from PKE without any oblivious sampleability. Instead, we require that the PKE scheme is rerandomizable, meaning that one can use the public key to rerandomize a ciphertext into a fresh ciphertext. We give two different OT protocols with different efficiency features based on rerandomizable PKE. For $1$-out-of-$n$ OT, in our first OT protocol, the sender has sublinear (in $n$) cost, and in our second OT protocol, the cost of the receiver is independent of $n$. As a comparison, in the PKE-based OT protocols of Gertner et al., both the sender and receiver have linear cost.

A cryptographic accumulator is a succinct set commitment scheme with efficient (non-)membership proofs that typically supports updates (additions and deletions) on the accumulated set. When elements are added to or deleted from the set, an update message is issued. The collection of all the update messages essentially leaks the underlying accumulated set which in certain applications is not desirable. In this work, we define oblivious accumulators, a set commitment with concise membership proofs that hides the elements and the set size from every entity: an outsider, a verifier or other element holders. We formalize this notion of privacy via two properties: element hiding and add-delete indistinguishability. We also define almost-oblivious accumulators, that only achieve a weaker notion of privacy called add-delete unlinkability. Such accumulators hide the elements but not the set size. We consider the trapdoorless, decentralized setting where different users can add and delete elements from the accumulator and compute membership proofs. We then give a generic construction of an oblivious accumulator based on key-value commitments (KVC). We also show a generic way to construct KVCs from an accumulator and a vector commitment scheme. Finally, we give lower bounds on the communication (size of update messages) required for oblivious accumulators and almost-oblivious accumulators.

In this paper, we present a novel method for timestamping and data notarisation on a distributed ledger. The problem with on-chain hashes is that a cryptographic hash is a deterministic function that it allows the blockchain be used as an oracle that confirms whether potentially leaked data is authentic (timestamped or notarised by the user). Instead, we suggest using on-chain Pedersen commitments and off-chain zero knowledge proofs (ZKP) for designated verifiers to prove the link between the data and the on-chain commitment. Our technique maintains the privacy of the data, and retains control of who can access it and when they can access it. This holds true even on a public blockchain, and even if the data is leaked by authorised parties. Indeed, an authorised data consumer (a designated-verifier for the ZKP), who discloses the data publicly, cannot convince anyone about the legitimacy of the data (in the sense that it is consistent with the information uploaded to the blockchain), because the ZKP proof is valid only for them. Our techniques can be used in scenarios where it is required to audit highly-sensitive data (e.g. application logs) by specific third parties, or to provide on-demand data certification by notaries

With the advancement in technology, Cloud computing always amazes the world with revolutionizing solutions that automate and simplify complex computational tasks. The advantages like no maintenance cost, accessibility, data backup, pay-per-use models, unlimited storage, and processing power encourage individuals and businesses to migrate their workload to the cloud. Despite the numerous advantages of cloud computing, the geolocation of data in the cloud environment is a massive concern, which relates to the performance and government legislation that will be applied to data. The unclarity of data geolocation can cause compliance concerns. In this work, we have presented a technique that will allow users to restrict the geolocation of their data in the cloud environment. We have used trusted computing mechanisms to attest the host and its geolocation remotely. With this model, the user will upload the data whose decryption key will be shared with a third-party attestation server only. The decryption key will be sealed to the TPM of the host after successful attestation guaranteeing the authorized geolocation and platform state.

In the threshold version of Paillier's encryption scheme, a set of parties collectively holds the secret decryption key through a secret sharing scheme. Whenever a ciphertext is to be decrypted, the parties send their decryption shares, which are then verified for correctness and combined into the plaintext. The scheme has been widely adopted in various applications, from secure voting to general purpose MPC protocols. However, among the handful existing proposals for a maliciously secure scheme, one must choose between an efficient implementation that relies on non-standard assumptions or a computationally expensive implementation that relies on widely acceptable assumptions. In this work, we show that one can enjoy the benefits of both worlds. Specifically, we adjust a scheme by Damgard et al. (Int. J. Inf. Secur. 2010) to get a practical distributed key generation (DKG). While the original scheme was only known to be secure under ad-hoc non-standard assumptions, we prove that the adjusted scheme is in fact secure under the decisional composite residuosity (DCR) assumption alone, required for the semantic security of the Pallier encryption scheme itself. This is possible thanks to a novel reduction technique, from the soundness of a zero-knowledge proof of equality of discrete logs, to the factoring problem. Furthermore, we use similar ideas to prove that batching techniques by Aditya et al. (ACNS 2004), which allows a prover to batch several statements into a single proof, can be applied to our adjusted scheme. This enables a batched threshold Paillier decryption in the fully distributed setting for the first time. Until now, verifying that a decryption share is correct was the bottleneck of threshold Paillier schemes and hindered real world deployments (unless one is willing to rely on a trusted dealer). Our work accumulates to shifting the bottleneck back to the plaintext reconstruction, just like in the semi-honest setting, and render threshold Paillier practical for the first time, supporting large scale deployments. We exemplify this shift by implementing the scheme and report our evaluation with up to 1000 parties, in the dishonest majority setting. For instance, over an EC2 C6i machine, we get a throughput of about 50 and 3.6 decryptions per second, when run over a network of 100 and 1000 parties, respectively.

In this article, we discuss the decoding of Gabidulin and related codes from a cryptographic point of view, and we observe that these codes can be decoded solely from the knowledge of a generator matrix. We then extend and revisit Gibson and Overbeck attacks on the generalized GPT encryption scheme (instantiated with the Gabidulin code) for different ranks of the distortion matrix. We apply our attack to the case of an instantiation with twisted Gabidulin codes.

We present a new method for transforming zero-knowledge protocols in the designated verifier setting into public-coin protocols, which can be made non-interactive and publicly verifiable. Our transformation applies to a large class of ZK protocols based on oblivious transfer. In particular, we show that it can be applied to recent, fast protocols based on vector oblivious linear evaluation (VOLE), with a technique we call VOLE-in-the-head, upgrading these protocols to support public verifiability. Our resulting ZK protocols have linear proof size, and are simpler, smaller and faster than related approaches based on MPC-in-the-head. To build VOLE-in-the-head while supporting both binary circuits and large finite fields, we develop several new technical tools. One of these is a new proof of security for the SoftSpokenOT protocol (Crypto 2022), which generalizes it to produce certain types of VOLE correlations over large fields. Secondly, we present a new ZK protocol that is tailored to take advantage of this form of VOLE, which leads to a publicly verifiable VOLE-in-the-head protocol with only 2x more communication than the best, designated-verifier VOLE-based protocols. We analyze the soundness of our approach when made non-interactive using the Fiat-Shamir transform, using round-by-round soundness. As an application of the resulting NIZK, we present FAEST, a post-quantum signature scheme based on AES. FAEST is the first AES-based signature scheme to be smaller than SPHINCS+, with signature sizes between 5.6 and 6.6kB at the 128-bit security level. Compared with the smallest version of SPHINCS+ (7.9kB), FAEST verification is slower, but the signing times are between 8x and 40x faster.

Consider the problem of efficiently evaluating isogenies $\phi: \mathcal{E} \to \mathcal{E}/H$ of elliptic curves over a finite field $\mathbb{F}_q$, where the kernel \(H = \langle{G}\rangle\) is a cyclic group of odd (prime) order: given \(\mathcal{E}\), \(G\), and a point (or several points) $P$ on $\mathcal{E}$, we want to compute $\phi(P)$. This problem is at the heart of efficient implementations of group-action- and isogeny-based post-quantum cryptosystems such as CSIDH. Algorithms based on Vélu's formul\ae{} give an efficient solution to this problem when the kernel generator $G$ is defined over $\mathbb{F}_q$. However, for general isogenies, \(G\) is only defined over some extension $\mathbb{F}_{q^k}$, even though $\langle{G}\rangle$ as a whole (and thus \(\phi\)) is defined over the base field $\mathbb{F}_q$; and the performance of Vélu-style algorithms degrades rapidly as $k$ grows. In this article, we revisit the isogeny-evaluation problem with a special focus on the case where $1 \le k \le 12$. We improve Vélu-style isogeny evaluation for many cases where \(k = 1\) using special addition chains, and combine this with the action of Galois to give greater improvements when \(k > 1\).

Code-Based Cryptosystem, CBC, is one of the candidates for Post-Quantum Cryptosystems, PQCs. Its security primarily bases on the Syndrome Decoding Problem, SDP. In this paper, we focus on the rank CBC whose security relies on the rank SDP. The GRS (Gaborit-Ruatta-Schrek) algorithm is well known as the current best decoding algorithm for the rank SDP. We propose the quantum version of the GRS algorithm. Then, we introduce the attack strategy using that quantum algorithm for previous rank CBCs remained at the 2nd Round of the NIST's PQC standardization project, and consider the quantum security for those cryptosystems. We present a result that is effective for RQC by our attack method, so give new RQC's instances which is secure against that attack.

We show that the key agreement scheme [Multim. Tools Appl. 80:799-829, 2021] is flawed. (1) The scheme is a hybrid which piles up various tools such as public key encryption, signature, symmetric key encryption, hash function, cancelable templates from thumb fingerprints, and elliptic curve cryptography. These tools are excessively used because key agreement is just a simple cryptographic primitive in contrast to public key encryption. (2) The involved reliance is very intricate. Especially, the requirement for a secure channel between two parties is generally unavailable.

Non-Interactive Verifiable Secret Sharing (NI-VSS) is a technique for distributing a secret among a group of individuals in a verifiable manner, such that shareholders can verify the validity of their received share and only a specific number of them can access the secret. VSS is a fundamental tool in cryptography and distributed computing. In this paper, we present an extremely efficient NI-VSS scheme using Zero-Knowledge (ZK) proofs on secret shared data. While prior VSS schemes have implicitly used ZK proofs on secret shared data, we specifically use their formal definition recently provided by Boneh et al. in CRYPTO 2019. The proposed NI-VSS scheme uses a quantum random oracle and a quantum computationally hiding commitment scheme in a black-box manner, which ensures its ease of use, especially in post-quantum threshold protocols. Implementation results further solidify its practicality and superiority over current constructions. With the new VSS scheme, for parameter sets $(n, t)=(128, 63)$ and $(2048, 1023)$, a dealer can share a secret in less than $0.02$ and $2.0$ seconds, respectively, and shareholders can verify their shares in less than $0.4$ and $5.0$ milliseconds. Compared to the well-established Pedersen VSS scheme, for the same parameter sets, at the cost of slightly higher communication, the new scheme is respectively $22.5\times$ and $3.25\times$ faster in the sharing phase, and notably needs $271\times$ and $479\times$ less time in the verification. Leveraging the new NI-VSS scheme, we revisit several classic and PQ-secure threshold protocols and improve their efficiency. Our revisions led to more efficient versions of both the Pedersen DKG protocol and the GJKR threshold signature scheme. We show similar efficiency enhancements and improved resilience to malicious parties in isogeny-based DKG and threshold signature schemes. We think, due to its remarkable efficiency and ease of use, the new NI-VSS scheme can be a valuable tool for a wide range of threshold protocols.

Data-dependent accesses to memory are necessary for many real-world applications, but their cost remains prohibitive in secure computation. Prior work either focused on minimizing the need for data-dependent access in these applications, or reduced its cost by improving oblivious RAM for secure computation (SC-ORAM). Despite extensive efforts to improve SC-ORAM, the most concretely efficient solutions still require $\approx0.7$s per access to arrays of $2^{30}$ entries. This plainly precludes using MPC in a number of settings. In this work, we take a pragmatic approach, exploring how concretely cheap MPC RAM access could be made if we are willing to allow one of the participants to learn the access pattern. We design a highly efficient Shared-Output Client-Server ORAM (SOCS-ORAM) that has constant overhead, uses one round trip of interaction per access, and whose access cost is independent of array size. SOCS-ORAM is useful in settings with hard performance constraints, where one party in the computation is more trust-worthy and is allowed to learn the RAM access pattern. Our SOCS-ORAM is assisted by a third helper party that helps initialize (and reinitialize, as needed) the protocol and is designed for the honest-majority semi-honest corruption model. We implement our construction in C++ and report its performance. For an array of length $2^{30}$ with $4$B entries, we communicate $13$B per access and take essentially no overhead beyond network latency.

Healthcare providers cannot share their patients' encrypted data among themselves because of interoperability issues. Many blockchain- based solutions have been proposed to allow for sharing medical data in a privacy-preserving manner, but interoperability problems persist. In this paper, we present a protocol called Blockchain-Format Preserving Encryption (B-FPE) to preserve patients' data privacy. Each patient is provided with an FPE key at the time of registration. All medical records are encrypted with the FPE key and stored in the blockchain. All the blockchain transactions are signed using group signatures. We use group signatures for signing the transactions to maintain the anonymity of healthcare providers. The new encrypted data block is concatenated to the blockchain. We present two cases: The regular phase, in which a patient is in a conscious state to share their FPE key with the healthcare provider, and the Emergency phase, in which a patient is not in a conscious state to share their key with the healthcare provider. In the latter case, the healthcare provider reconstructs the FPE key and decrypts the ciphertext. We assume this decryption happens in an oblivious manner.

Considering password-based authentication technique, password memorability is a real challenge on users. Hence, password reuse across different web applications is a common trend among users which makes websites vulnerable to credential stuffing attack. A solution as password manager helps the users to create random passwords for different websites on the user machine. However, it has practical challenges. Password database breach detection is another related and challenging task. Among recent developments for breach detection, honeyword-based approach is much appreciated by the research community. However, honeyword generation itself is a challenging part of the solution. In this work, we propose i) Password Reuse Detection (PRD) protocol for detecting password reuse using a secure two party private set intersection; ii) Breach Detection (BD) protocol that detects credential stuffing attacks using two party private set inclusion protocol based on random oblivious transfer. Both the proposals are designed for the authentication servers of the respective applications and need communication between multiple websites following the work by wang et al. Through analysis we show that our PRD protocol is around 2.8 times faster, and space efficient than existing works for 5000 honeywords. Our near to real-time BD protcol is around 2 times faster than existing works.

Fully homomorphic encryption (FHE) schemes are either lightweight and can evaluate boolean circuits or are relatively heavy and can evaluate arithmetic circuits on encrypted vectors, i.e., they perform single instruction multiple data operations (SIMD). SIMD FHE schemes can either perform exact modular arithmetic in the case of the Brakerski-Gentry-Vaikuntanathan (BGV) and Brakerski-Fan-Vercauteren (BFV) schemes or approximate arithmetic in the case of the Cheon-Kim-Kim-Song (CKKS) scheme. While one can homomorphically switch between BGV/BFV and CKKS using the computationally expensive bootstrapping procedure, it is unknown how to switch between these schemes without bootstrapping. Finding more efficient methods than bootstrapping of converting between these schemes was stated as an open problem by Halevi and Shoup, Eurocrypt 2015. In this work, we provide strong evidence that homomorphic switching between BGV/BFV and CKKS is as hard as bootstrapping. In more detail, if one could efficiently switch between these SIMD schemes, then one could bootstrap these SIMD FHE schemes using a single call to a homomorphic scheme-switching algorithm without applying homomorphic linear transformations. Thus, one cannot hope to obtain significant improvements to homomorphic scheme-switching without also significantly improving the state-of-the-art for bootstrapping. We also explore the relative hardness of computing homomorphic comparison in these same SIMD FHE schemes as a secondary contribution. We show that given a comparison algorithm, one can bootstrap these schemes using a few calls to the comparison algorithm for typical parameter settings. While we focus on the comparison function in this work, the overall approach to demonstrate relative hardness of computing specific functions homomorphically extends beyond comparison to other useful functions such as min/max or ReLU.

We propose a novel approach that utilizes fuzzification theory to perform feature selection on website content for encryption purposes. Our objective is to identify and select the most relevant features from the website by harnessing the principles of fuzzy logic. Fuzzification allows us to transform the crisp website content into fuzzy representations, enabling a more nuanced analysis of their characteristics. By considering the degree of membership of each feature in different fuzzy categories, we can evaluate their importance and relevance for encryption. This approach enables us to prioritize and focus on the features that exhibit higher membership degrees, indicating their significance in the encryption process. By employing fuzzification-based feature selection, we aim to enhance the effectiveness and efficiency of website content encryption, ultimately improving the overall internet security

Private-ID (PID) protocol enables two parties, each holding a private set of items, to privately compute a set of random universal identifiers (UID) corresponding to the records in the union of their sets, where each party additionally learns which UIDs correspond to which items in its set but not if they belong to the intersection or not. PID is very useful in the privacy computation of databases query, e.g. inner join and join for compute. Known PID protocols all assume the input of both parties is a set. In the case of join, a more common scenario is that one party's primary key (unique) needs to join the other party's foreign key (duplicate). How to construct an efficient Private Multiset ID (PMID) protocol to support the above \emph{key-foreign key join} remains open. We resolve this problem by constructing efficient PMID protocols from Oblivious PRF, Private Set Union, and a newly introduced primitive called Deterministic-Value Oblivious Programmable PRF (dv-OPPRF). We also propose some PMID applications, including Private Inner Join, Private Full Join, and Private Join for Compute. We implement our PMID protocols and state-of-the-art PID protocols as performance baselines. The experiments show that the performances of our PMID are almost the same as the state-of-the-art PIDs when we set the multiplicity $U_x = U_y = 1$. Our PMID protocols scale well when either $U_x > 1$ or $U_y > 1$. The performances also correctly reflect excessive data expansion when both $U_x, U_y > 1$ for the more general \emph{cross join} case.

In the permutation inversion problem, the task is to find the preimage of some challenge value, given oracle access to the permutation. This is a fundamental problem in query complexity, and appears in many contexts, particularly cryptography. In this work, we examine the setting in which the oracle allows for quantum queries to both the forward and the inverse direction of the permutation---except that the challenge value cannot be submitted to the latter. Within that setting, we consider two options for the inversion algorithm: whether it can get quantum advice about the permutation, and whether it must produce the entire preimage (search) or only the first bit (decision). We prove several theorems connecting the hardness of the resulting variations of the inversion problem, and establish a number of lower bounds. Our results indicate that, perhaps surprisingly, the inversion problem does not become significantly easier when the adversary is granted oracle access to the inverse, provided it cannot query the challenge itself.

A number of supersingular isogeny based cryptographic protocols require the endomorphism ring of the initial elliptic curve to be either unknown or random in order to be secure. To instantiate these protocols, Basso et al. recently proposed a secure multiparty protocol that generates supersingular elliptic curves defined over $\mathbb{F}_{p^2}$ of unknown endomorphism ring as long as at least one party acts honestly. However, there are many protocols that specifically require curves defined over $\mathbb{F}_p$, for which the Basso et al. protocol cannot be used. Also, the simple solution of using a signature scheme such as CSI-FiSh or SeaSign for proof of knowledge either requires extensive precomputation of large ideal class groups or is too slow for everyday applications. In this paper, we present CSIDH-SCG, a new multiparty protocol that generates curves of unknown endomorphism ring defined over $\mathbb{F}_p$. This protocol relies on CSIDH-IP, a new CSIDH based proof of knowledge. We also present CSIDH-CR, a multiparty algorithm that be used in conjunction with CSIDH-SCG to generate a random curve over $\mathbb{F}_p$ while still keeping the endomorphism ring unknown.

{\em Range searching} is the problem of preprocessing a set of points $P$, such that given a query range $\gamma$ we can efficiently compute some function $f(P\cap\gamma)$. For example, in a 1 dimensional {\em range counting} query, $P$ is a set of numbers, $\gamma$ is a segment and we need to count how many numbers of $P$ are in $\gamma$. In higher dimensions, $P$ is a set of $d$ dimensional points and the query range is some volume in $R^d$. In general, we want to compute more than just counting, for example, the average of $P\cap\gamma$. Range searching has applications in databases where some SELECT queries can be translated to range queries. It had received a lot of attention in computational geometry where a data structure called {\em partition tree} was shown to solve range queries in time sub-linear in $|P|$ using space only linear in $|P|$. In this paper we consider partition trees under FHE where we answer range queries without learning the value of the points or the parameters of the range. We show how partition trees can be securely traversed with $O(t \cdot n^{1-\frac{1}{d}+\epsilon} + n^{1+\epsilon})$ operations, where $n=|P|$, $t$ is the number of operations needed to compare to $\gamma$ and $\epsilon>0$ is a parameter. As far as we know, this is the first non-trivial bound on range searching under FHE and it improves over the na\"ive solution that needs $O(t\cdot n)$ operations. Our algorithms are independent of the encryption scheme but as an example we implemented them using the CKKS FHE scheme. Our experiments show that for databases of sizes $2^{23}$ and $2^{25}$, our algorithms run $\times 2.8$ and $\times 4.7$ (respectively) faster than the na\"ive algorithm. The improvement of our algorithm comes from a method we call copy-and-recurse. With it we efficiently traverse a $r$-ary tree (where each inner node has $r$ children) that also has the property that at most $\xi$ of them need to be recursed into when traversing the tree. We believe this method is interesting in its own and can be used to improve traversals in other tree-like structures.

A possible new approach to the Zodiac Killer's 32-Character Cipher (Z32) is proposed based on the strengths and weaknesses of previous approaches and novel interpretations. This approach does not assume the use of anagrams or similar complex transposition methods; does not assume the identity of a particular Zodiac suspect; and assumes the use of homophonic substitution (as in Z408 and Z340), and simple transposition (as in Z340). Assumptions are clearly defined and tested with sensitivity tests. With Mount Diablo as the pole of a plane polar coordinate system, the instruction "set to Mag. N." is interpreted by setting the hour and minute hands of a watchface to the magnetic declination of the Bay Area circa 1970. Sensitivity tests reveal the exact year and location have little impact on the declination in this case. The hour and minute given by the hands are interpreted as the radial coordinate r and the angular coordinate theta, as in "Radians & # inches along the radians". The hand corresponding to each coordinate is tested, as are 12- and 24-hour interpretations. Impossible or improbable coordinates are excluded leaving one coordinate as a possible solution. This coordinate is explored as the possible plaintext for Z32 using the Z340 transposition method. Further exploration of the proposed method is necessary.

We present a reactive MPC protocol built from FHE which is robust in the presence of active adversaries. In addition the protocol enables reduced bandwidth via means of transciphering, and also enables more expressive/efficient programs via means of a $\mathsf{Declassify}$ operation. All sub-components of the protocol can be efficiently realised using existing technology. We prove our protocol secure in the UC framework.

We examine the use of Trivium and Kreyvium as transciphering mechanisms for use with the TFHE FHE scheme. Originally these two ciphers were investigated for FHE transciphering only in the context of the BGV/BFV FHE schemes; this is despite Trivium and Kreyvium being particarly suited to TFHE. Recent work by Dobraunig et al. gave some initial experimental results using TFHE. We show that these two symmetric ciphers have excellent performance when homomorphically evaluated using TFHE. Indeed we improve upon the results of Dobraunig et al. by at least two orders of magnitude in terms of latency. This shows that, for TFHE at least, one can transcipher using a standardized symmetric cipher (Trivium), without the need for special FHE-friendly ciphers being employed. For applications wanting extra security, but without the benefit of relying on a standardized cipher, our work shows that Kreyvium is a good candidate.

Fully Homomorphic Encryption has known impressive improvements in the last 15 years, going from a technology long thought to be impossible to an existing family of encryption schemes able to solve a plethora of practical use cases related to the privacy of sensitive information. Recent results mainly focus on improving techniques within the traditionally defined framework of GLWE-based schemes, but the recent CPU implementation improvements are mainly incremental. To keep improving this technology, one solution is to modify the aforementioned framework, by using slightly different hardness assumptions. In this paper, we identify two limitations with (T)FHE: (i) there is no fine-grained control over the size of a GLWE secret key, which is traditionally composed of $k$ polynomials with $N=2^\alpha>1$ coefficients; (ii) for security reasons one cannot use a noise variance smaller than a certain $\sigma_{\min}$ so, for all ciphertext modulus $q\in \mathbb{N}$, there exists an integer $n_{\mathsf{plateau}}$ such that, with any secret key of size $k\cdot N \ge n_{\mathsf{plateau}}$, one cannot control their level of security, resulting in unnecessary big security levels. To overcome the aforementioned limitations, we introduce two new types of secret keys for GLWE-based cryptosystems, that can be used separately or together. We explain why these new secret keys are as secure as the traditional ones and we detail all the improvements that they bring to existing FHE algorithms alongside new algorithms especially efficient with these new keys. We provide many comparisons with state-of-the-art TFHE techniques with traditional secret keys, and some benchmarks showing computational speed-ups between $1.3$ and $2.4$ while keeping the same level of security and failure probability (correctness). Furthermore, the size of the key switching and bootstrapping keys is also reduced with this contribution by factors ranging from $1.5$ to $2.7$.

Four recent trends have emerged in the evolution of authenticated encryption schemes: (1) Regarding simplicity, the adoption of public permutations as primitives allows for sparing a key schedule and the need for storing round keys; (2) using the sums of permutation outputs, inputs, or outputs has been a well-studied means to achieve higher security beyond the birthday bound; (3) concerning robustness, schemes should provide graceful security degradation if a limited amount of nonces repeats during the lifetime of a key, and (4) Andreeva et al.'s ForkCipher approach can increase the efficiency of a scheme since they can use fewer rounds per output branch compared to full-round primitives. In this work, we improve on the state of the art by combining those aspects for efficient authenticated encryption. We propose $\textsf{PAE}$, an efficient nonce-based AE scheme that employs a public permutation and one call to an XOR-universal hash function. $\textsf{PAE}$ provides $O(2n/3)$-bit security and high throughput by combining forked public-permutation-based variants of $\textsf{nEHtM}$ and an Encrypted Davies-Meyer. Thus, it can use a single, in part round-reduced, public permutation for most operations, spare a key schedule, and guarantee security beyond the birthday bound even under limited nonce reuse.

Timed commitments (Boneh and Naor, CRYPTO 2000) are a variant of standard commitments which incorporates a forced opening mechanism that allows anyone to reveal the committed message, but not before a certain prescribed date. Timed commitments have a wide-range of applications such as contract signing, fair multi-party computation, sealed bid auctions or new blockchain applications such as preventing front-running or unbiased randomness generation. We revisit the notion of timed commitments and propose an alternative simplified definition. We also provide two new constructions of timed commitments with different trade-offs.

With applications in secure messaging, Updatable Public Key Encryption (UPKE) was proposed by Jost et al. (EUROCRYPT '19) and Alwen et al. (CRYPTO '20). It is a natural relaxation of forward-secure public-key encryption. In UPKE, we can update secret keys by using update ciphertexts which any sender can generate. The UPKE schemes proposed so far that satisfy the strong CCA security are Haidar et al.'s concrete construction (CCS '22) and Dodis et al's generic construction that use Non-Interactive Zero-Knowledge (NIZK) arguments. Yet, even despite the aid of random oracles, their concrete efficiency is quite far from the most efficient CPA-secure scheme. In this paper, we first demonstrate a simple and efficient attack against Dodis et al.'s strongly CCA-secure scheme, and show how to fix it. Then, based on the observation from the attack and fix, we propose a new strongly CCA-secure generic construction for a UPKE scheme with random oracles and show that its instantiation is almost as concretely efficient as the most efficient CPA-secure one.

Many to many data sharing in the group setting in a cloud environment is a challenging problem that is crucial for numerous schemes. To our best knowledge, there is no generic study to allow sharing of confidential information in many to many pattern between different groups. Thus we propose a novel data sharing scheme enabling many to many sharing of encrypted data between different groups with using cryptographic techniques such as traceable ring signatures, multiple receiver key encapsulation, etc. We give a comprehensive security analysis showing our scheme is indistinguishable under user encapsulation keys and chosen plaintext attack secure under discrete logarithm assumption. We propose the implementation of our scheme, and the experimental results show that the proposed scheme is applicable for decentralized data sharing.

Proofs for machine computation prove the correct execution of arbitrary programs that operate over fixed instruction sets (e.g., RISC-V, EVM, Wasm). A standard approach for proving machine computation is to prove a universal set of constraints that encode the full instruction set at each step of the program execution. This approach incurs a proving cost per execution step on the order of the total sum of instruction constraints for all of the instructions in the set, despite each step of the program only executing a single instruction. Existing proving approaches that avoid this universal cost per step (and incur only the cost of a single instruction's constraints per step) either fail to provide zero-knowledge or rely on recursive proof composition for which security relies on the heuristic instantiation of the random oracle. We present new protocols for proving machine execution that resolve these limitations, enabling prover efficiency on the order of only the executed instructions while achieving zero-knowledge and avoiding recursive proofs. Our core technical contribution is a new primitive that we call a succinct vector lookup argument which enables a prover to build up a machine execution ``on-the-fly''. We propose succinct vector lookups for both univariate polynomial and multivariate polynomial commitments in which vectors are encoded on cosets of a multiplicative subgroup and on subcubes of the boolean hypercube, respectively. We instantiate our proofs for machine computation by integrating our vector lookups with existing efficient, succinct non-interactive proof systems for NP.

Uniswap is currently the most liquid Decentralized Exchange (DEX) on Ethereum. In May 2021, it upgraded to the third protocol version named Uniswap V3. The key feature update is “concentrated liquidity”, which supports liquidity provision within custom price ranges. However, this design introduces a new type of Miner Extractable Value (MEV) source called Just-in-Time (JIT) liquidity attack, where the adversary mints and burns a liquidity position right before and after a sizable swap. We begin by formally defining the JIT liquidity attack and subsequently conduct empirical measurements on Ethereum. Over a span of 20 months, we identify 36,671 such attacks, which have collectively generated profits of 7,498 ETH. Our analysis suggests that the JIT liquidity attack essentially represents a whales’ game, predominantly controlled by a select few bots. The most active bot, identified as 0xa57...6CF, has managed to amass 92% of the total profit. Furthermore, we find that this attack strategy poses significant entry barriers, as it necessitates adversaries to provide liquidity that is, on average, 269 times greater than the swap volume. In addition, our findings reveal that the JIT liquidity attack exhibits relatively poor profitability, with an average Return On Investment (ROI) of merely 0.007%. We also find this type of attack to be detrimental to existing Liquidity Providers (LPs) within the pool, as their shares of liquidity undergo an average dilution of 85%. On the contrary, this attack proves advantageous for liquidity takers, who secure execution prices that are, on average, 0.139% better than before. We further dissect the behaviors of the top MEV bots and evaluate their strategies through local simulation. Our observations reveal that the most active bot, 0xa57...6CF, conducted 27% of non-optimal attacks, thereby failing to capture at least 7,766 ETH (equivalent to 16.1M USD) of the potential attack profit.