We present simple and improved constructions of public-key functional encryption (FE) schemes for quadratic functions. Our main results are: - an FE scheme for quadratic functions with constant-size keys as well as shorter ciphertexts than all prior schemes based on static assumptions; – a public-key partially-hiding FE that supports NC1 computation on public attributes and quadratic computation on the private message, with ciphertext size independent of the length of the public attribute. Both constructions achieve selective, simulation-based security against unbounded collusions, and rely on the (bi-lateral) k-linear assumption in prime-order bilinear groups. At the core of these constructions is a new reduction from FE for quadratic functions to FE for linear functions.

We study information-theoretic secure multiparty protocols that achieve full security, including guaranteed output delivery, at the presence of an active adversary that corrupts a constant fraction of the parties. It is known that 2 rounds are insufficient for such protocols even when the adversary corrupts only two parties (Gennaro, Ishai, Kushilevitz, and Rabin; Crypto 2002), and that perfect protocols can be implemented in $3$ rounds as long as the adversary corrupts less than a quarter of the parties (Applebaum , Brakerski, and Tsabary; Eurocrypt, 2019). Furthermore, it was recently shown that the quarter threshold is tight for any 3-round \emph{perfectly-secure} protocol (Applebaum, Kachlon, and Patra; FOCS 2020). Nevertheless, one may still hope to achieve a better-than-quarter threshold at the expense of allowing some negligible correctness errors and/or statistical deviations in the security. Our main results show that this is indeed the case. Every function can be computed by 3-round protocols with \emph{statistical} security as long as the adversary corrupts less than a third of the parties. Moreover, we show that any better resiliency threshold requires $4$ rounds. Our protocol is computationally inefficient and has an exponential dependency in the circuit's depth $d$ and in the number of parties $n$. We show that this overhead can be avoided by relaxing security to computational, assuming the existence of a non-interactive commitment (NICOM). Previous 3-round computational protocols were based on stronger public-key assumptions. When instantiated with statistically-hiding NICOM, our protocol provides \emph{everlasting statistical} security, i.e., it is secure against adversaries that are computationally unlimited \emph{after} the protocol execution. To prove these results, we introduce a new hybrid model that allows for 2-round protocols with a linear resiliency threshold. Here too we prove that, for perfect protocols, the best achievable resiliency is $n/4$, whereas statistical protocols can achieve a threshold of $n/3$. In the plain model, we also construct the first 2-round $n/3$-statistical verifiable secret sharing that supports second-level sharing and prove a matching lower-bound, extending the results of Patra, Choudhary, Rabin, and Rangan (Crypto 2009). Overall, our results refine the differences between statistical and perfect models of security and show that there are efficiency gaps even for thresholds that are realizable in both models.

We present the first complete implementation of the offline Simon's algorithm, and estimate its cost to attack the MAC Chaskey, the block cipher PRINCE and the NIST lightweight candidate AEAD scheme Elephant. These attacks require a reasonable amount of qubits, comparable to the number of qubits required to break RSA-2048. They are faster than other collision algorithms, and the attacks against PRINCE and Chaskey are the most efficient known to date. As Elephant has a key smaller than its state size, the algorithm is less efficient and ends up more expensive than exhaustive search. We also propose an optimized quantum circuit for boolean linear algebra as well as complete reversible implementations of PRINCE, Chaskey, spongent and Keccak which are of independent interest for quantum cryptanalysis. We stress that our attacks could be applied in the future against today's communications, and recommend caution when choosing symmetric constructions for cases where long-term security is expected.

Correlated secret randomness is a useful resource for many cryptographic applications. We initiate the study of pseudorandom correlation functions (PCFs) that offer the ability to securely generate virtually unbounded sources of correlated randomness using only local computation. Concretely, a PCF is a keyed function $F_k$ such that for a suitable joint key distribution $(k_0,k_1)$, the outputs $(f_{k_0}(x),f_{k_1}(x))$ are indistinguishable from instances of a given target correlation. An essential security requirement is that indistinguishability hold not only for outsiders, who observe the pairs of outputs, but also for insiders who know one of the two keys. We present efficient constructions of PCFs for a broad class of useful correlations, including oblivious transfer and multiplication triple correlations, from a variable-density variant of the Learning Parity with Noise assumption (VDLPN). We also present several cryptographic applications that motivate our efficient PCF constructions. The VDLPN assumption is independently motivated by two additional applications. First, different flavors of this assumption give rise to weak pseudorandom function candidates in depth-2 $\mathsf{AC}^0[\oplus]$ that can be conjectured to have subexponential security, matching the best known learning algorithms for this class. This is contrasted with the quasipolynomial security of previous (higher-depth) $\mathsf{AC}^0[\oplus]$ candidates. We support our conjectures by proving resilience to several classes of attacks. Second, VDLPN implies simple constructions of pseudorandom generators and weak pseudorandom functions with security against XOR related-key attacks.

In this paper, we present the more accurate definition of strong linear complexity of feedback shift registers based on Boolean algebraic than before, and analyze the bound of strong linear complexity by the fixed feedback function. Furthermore, the feedback shift registers with maximum strong linear complexity are constructed, whose feedback functions require the least number of monomials. We also show that the conclusions provide particular ideas and criteria for the design of feedback shift registers.

With the emerging popularity of cloud computing, the problem of how to query over cryptographically-protected data has been widely studied. However, most existing works focus on querying protected relational databases, few work has shown interests in graph databases. In this paper, we first investigate and summarize two single-instruction queries, namely Graph Pattern Matching (GPM) and Graph Navigation (GN). Then we follow their design intuitions and leverage secure Multi-Party Computation (MPC) to implement their functionalities in a privacy-preserving manner. Moreover, we propose a general framework for processing multi-instruction query on secret-shared graph databases and present a novel cryptographic primitive Oblivious Filter (OF) as a core building block. Nevertheless, we formalize the problem of OF and present its constructions using homomorphic encryption. Finally, we conduct an empirical study to evaluate the efficiency of our proposed OF protocol.

Mixed Integer Linear Programming (MILP) is a very common method of modelling differential and linear bounds for ciphers, as it automates the process of finding the best differential trail or linear approximation. The Convex Hull (CH) modelling, introduced by Sun et al. (Eprint 2013/Asiacrypt 2014), is a popular method in this regard, which can convert the conditions corresponding to a small (4-bit) SBox to MILP constraints efficiently. In our work, we study this modelling with CH in more depth and observe a previously unreported problem associated with it. Our analysis shows, there are SBoxes for which the CH modelling can yield incorrect modelling. As such, using the CH modelling may lead to incorrect differential or linear bounds. This arises from the observation that although the CH is generated for a certain set of points, there can be points outside this set which also satisfy all the inequalities of the CH. As apparently no variant of the CH modelling can circumvent this problem, we propose a new modelling for differential and linear bounds. Our modelling makes use of every points of interest individually. This modelling works for an arbitrary SBox, and is able to find the exact bound. Additionally, we also explore the possibility of using redundant constraints, such that the run time for an MILP solver can be reduced while keeping the optimal result unchanged. For this purpose, we revisit the CH modelling and use the CH constraints as redundant constraints (on top of our usual constraints, which ensure the aforementioned problem does not occur). In fact, we choose two heuristics from the convex hull modelling. The first uses all the inequalities of a convex hull, while second uses a reduced number of inequalities. Apart from that, we also propose to use the solutions for the smaller rounds as another heuristic to find the optimal bound for a higher round. With our experiments on round-reduced GIFT-128, we show it is possible to reduce the run time a few folds using a suitable choice of redundant constraints. Further, we observe the necessity to consider separate heuristics for the differential and linear cases. We also present the optimal linear bounds for 11- and 12-rounds of GIFT-128, extending from the best-known result of 10-rounds.

We present a two-message oblivious transfer protocol achieving statistical sender privacy and computational receiver privacy based on the RLWE assumption for cyclotomic number fields. This work improves upon prior lattice-based statistically sender-private oblivious transfer protocols by reducing the total communication between parties by a factor $O(n\log q)$ for transfer of length $O(n)$ messages. Prior work of Brakerski and Döttling uses transference theorems to show that either a lattice or its dual must have short vectors, the existence of which guarantees lossy encryption for encodings with respect to that lattice, and therefore statistical sender privacy. In the case of ideal lattices from embeddings of cyclotomic integers, the existence of one short vector implies the existence of many, and therefore encryption with respect to either a lattice or its dual is guaranteed to ``lose" more information about the message than can be ensured in the case of general lattices. This additional structure of ideals of cyclotomic integers allows for efficiency improvements beyond those that are typical when moving from the generic to ideal lattice setting, resulting in smaller message sizes for sender and receiver, as well as a protocol that is simpler to describe and analyze.

We study the communication complexity of unconditionally secure multiparty computation (MPC) protocols in the honest majority setting. Despite tremendous efforts in achieving efficient protocols for binary fields under computational assumptions, there are no efficient unconditional MPC protocols in this setting. In particular, there are no $n$-party protocols with constant overhead admitting communication complexity of $O(n)$ bits per gate. Cascudo, Cramer, Xing and Yuan (CRYPTO 2018) were the first ones to achieve such an overhead in the amortized setting by evaluating $O(\log n)$ copies of the same circuit in the binary field in parallel. In this work, we construct the first unconditional MPC protocol secure against a malicious adversary in the honest majority setting evaluating just a single boolean circuit with amortized communication complexity of $O(n)$ bits per gate.

We construct uniquely decodable codes against channels which are computationally bounded. Our construction requires only a public-coin (transparent) setup. All prior work for such channels either required a setup with secret keys and states, could not achieve unique decoding, or got worse rates (for a given bound on codeword corruptions). On the other hand, our construction relies on a strong cryptographic hash function with security properties that we only instantiate in the random oracle model.

Zero knowledge proofs are an important building block in many cryptographic applications. Unfortunately, when the proof statements become very large, existing zero-knowledge proof systems easily reach their limits: either the computational overhead, the memory footprint, or the required bandwidth exceed levels that would be tolerable in practice. We present an interactive zero-knowledge proof system for boolean and arithmetic circuits, called Mac'n'Cheese, with a focus on supporting large circuits. Our work follows the commit-and-prove paradigm instantiated using information-theoretic MACs based on vector oblivious linear evaluation to achieve high efficiency. We additionally show how to optimize disjunctions, with a general OR transformation for proving the disjunction of $m$ statements that has communication complexity proportional to the longest statement (plus an additive term logarithmic in $m$). These disjunctions can further be nested, allowing efficient proofs about complex statements with many levels of disjunctions. We also show how to make Mac'n'Cheese non-interactive (after a preprocessing phase) using the Fiat-Shamir transform, and with only a small degradation in soundness. We have implemented the online phase of Mac'n'Cheese and achieve a runtime of 144 ns per AND gate and 1.5 $\mu$s per multiplication gate in $\mathbb{F}_{2^{61}-1}$ when run over a network with a 95 ms latency and a bandwidth of 31.5 Mbps. In addition, we show that the disjunction optimization improves communication as expected: when proving a boolean circuit with eight branches and each branch containing roughly 1 billion multiplications, Mac'n'Cheese requires only 75 more bytes to communicate than in the single branch case.

In this work we apply the dynamical systems analysis of Hanrot et al. (CRYPTO'11) to a class of lattice block reduction algorithms that includes (natural variants of) slide reduction and block-Rankin reduction. This implies sharper bounds on the polynomial running times (in the query model) for these algorithms and opens the door to faster practical variants of slide reduction. We give heuristic arguments showing that such variants can indeed speed up slide reduction significantly in practice. This is confirmed by experimental evidence, which also shows that our variants are competitive with state-of-the-art reduction algorithms.

Broadcast is a primitive which allows a specific party to distribute a message consistently among $n$ parties, even if up to $t$ parties exhibit malicious behaviour. In the classical model with a complete network of bilateral authenticated channels, the seminal result of Pease et al. [PSL80] shows that broadcast is achievable if and only if $t < n/3$. There are two generalizations suggested for the broadcast problem -- with respect to the adversarial model and the communication model. Fitzi and Maurer [FM98] consider a (non-threshold) 'general adversary' that is characterized by the subsets of parties that could be corrupted, and show that broadcast can be realized from bilateral channels if and only if the union of no three possible corrupted sets equals the entire set of $n$ parties. On the other hand, Considine et al. [CFF+05] extend the standard model of bilateral channels with the existence of $b$-minicast channels that allow to locally broadcast among any subset of $b$ parties; the authors show that in this enhanced model of communication, secure broadcast tolerating up to $t$ corrupted parties is possible if and only if $t < \frac{b-1}{b+1}n$. These generalizations are unified in the work by Raykov [Ray15], where a tight condition on the possible corrupted sets is presented such that broadcast is achievable from a complete set of $b$-minicasts. This paper investigates the achievability of broadcast in 'general networks', i.e., networks where only some subsets of minicast channels may be available, thereby addressing open problems posed in [JMS12,Ray15]. To that end, we propose a hierarchy over all possible general adversaries, and identify for each class of general adversaries 1) a set of minicast channels that are necessary to achieve broadcast and 2) a set of minicast channels that are sufficient to achieve broadcast. In particular, this allows us to derive bounds on the amount of $b$-minicasts that are necessary and that suffice towards constructing broadcast in general $b$-minicast networks.

Let $p$ be a prime such that $p=1+2^nm$, where $n\geq 1$ and $m$ is odd. Given a square $u$ in $\mathbb{Z}_p$ and a non-square $z$ in $\mathbb{Z}_p$, we describe an algorithm to compute a square root of $u$ which requires $\mathfrak{T}+O(n^{3/2})$ operations (i.e., squarings and multiplications), where $\mathfrak{T}$ is the number of operations required to exponentiate an element of $\mathbb{Z}_p$ to the power $(m-1)/2$. This improves upon the Tonelli-Shanks (TS) algorithm which requires $\mathfrak{T}+O(n^{2})$ operations. Bernstein had proposed a table look-up based variant of the TS algorithm which requires $\mathfrak{T}+O((n/w)^{2})$ operations and $O(2^wn/w)$ storage, where $w$ is a parameter. A table look-up variant of the new algorithm requires $\mathfrak{T}+O((n/w)^{3/2})$ operations and the same storage. In concrete terms, the new algorithm is shown to require significantly fewer operations for particular values of $n$.

Secure electronic voting is a relatively trivial exercise if a single authority can be completely trusted. In contrast, the construction of efficient and usable schemes which provide strong security without strong trust assumptions is still an open problem, particularly in the remote setting. Coercion-resistance is one of, if not the hardest property to add to a verifiable e-voting system. Numerous secure e-voting systems have been designed to provide coercion-resistance. One of these systems is VoteAgain (Usenix Security 2020) whose security we revisit in this work. We discovered several pitfalls that break the security properties of VoteAgain in threat scenarios for which it was claimed secure. The most critical consequence of our findings is that there exists a voting authority in VoteAgain which needs to be trusted for all security properties. This means that VoteAgain is as (in)secure as a trivial voting system with a single and completely trusted voting authority. We argue that this problem is intrinsic to VoteAgain's design and could thus only be resolved, if possible, by fundamental modifications. We hope that our work will ensure that VoteAgain is not employed for real elections in its current form. Further, we highlight subtle security pitfalls to avoid on the path towards more efficient, usable, and reasonably secure coercion-resistant e-voting. To this end, we conclude the paper by describing the open problems which need to be solved to make VoteAgain's approach secure.

Grover search algorithm can be used to find the $n$-bit secret key at the speed of $\sqrt{n}$, which is the most effective quantum attack method for block ciphers. In order to apply the Grover search algorithm, the target block cipher should be implemented in quantum circuits. Many recent research works optimized the expensive substitute layer to evaluate the need for quantum resources of AES block ciphers. Research on the implementation of quantum circuits for lightweight block ciphers such as SIMON, SPECK, HIGHT, CHAM, LEA, and Gimli, an active research field, is also gradually taking place. In this paper, we present optimized implementations of GIFT block ciphers for quantum computers. To the best of our knowledge, this is the first implementation of GIFT in quantum circuits. Finally, we estimate quantum resources for applying the Grover algorithm to the our optimized GIFT quantum circuit.

The cube attack is one of the most important cryptanalytic techniques against Trivium. Many improvements have been proposed and lots of key-recovery attacks based on cube attacks have been established. However, among these key-recovery attacks, few attacks can recover the 80-bit full key practically. In particular, the previous best practical key-recovery attack was on 784-round Trivium proposed by Fouque and Vannet at FSE 2013 with on-line complexity about $2^{39}$. To mount a practical key-recovery attack against Trivium on a PC, a sufficient number of low-degree superpolies should be recovered, which is around 40. This is a difficult task both for experimental cube attacks and division property based cube attacks with randomly selected cubes due to lack of efficiency. In this paper, we give a new algorithm to construct candidate cubes targeting at linear superpolies in cube attacks. It is shown by our experiments that the new algorithm is very effective. In our experiments, the success probability is $ 100\% $ for finding linear superpolies using the constructed cubes. As a result, we mount a practical key-recovery attack on 805-round Trivium, which increases the number of attacked initialisation rounds by 21. We obtain over 1000 cubes with linear superpolies for 805-round Trivium, where 42 linearly independent ones could be selected. With these superpolies, for 805-round Trivium, the 80-bit key could be recovered within on-line complexity $ 2^{41.40} $, which could be carried out on a single PC equipped with a GTX-1080 GPU in several hours. Furthermore, the new algorithm is applied to 810-round Trivium, a cube of size 43 is constructed and two subcubes of size 42 with linear superpolies for 810-round Trivium are found.

A graph signature scheme is a digital signature scheme that allows a recipient to obtain a signature on a graph and subsequently prove properties thereof in zero-knowledge proofs of knowledge. While known to be expressive enough to encode statements from NP languages, one main use of graph signatures is in topology certification and confidentiality-preserving security assurance. In this paper, we present an efficient and provably secure graph signature scheme in the standard model with tight reduction. Based on the MoniPoly attribute-based credential system, this new graph signature scheme offers zero-knowledge proofs of possession of the signature itself as well as confidentiality-preserving show proofs on logical statements such as the existence of vertices, graph connectivity or isolation.

Evaluating resistance of ciphers against differential cryptanalysis is essential to define the number of rounds of new designs and to mount attacks derived from differential cryptanalysis. In this paper, we compare existing automatic tools to find the best differential characteristic on the SKINNY block cipher. As usually done in the literature, we split this search in two stages denoted by Step 1 and Step 2. In Step 1, each difference variable is abstracted with a Boolean variable and we search for the value that minimizes the trail weight, whereas Step 2 tries to instantiate each difference value while maximizing the overall differential characteristic probability. We model Step 1 using a MILP tool, a SAT tool, an ad-hoc method and a CP tool based on the Choco-solver library and provide performance results. Step 2 is modeled using the Choco-solver as it seems to outperform all previous methods on this stage. Notably, for SKINNY-128 in the SK model and for 13 rounds, we retrieve the results of Abdelkhalek et al. within a few seconds (to compare with 16 days) and we provide, for the first time, the best differential related-tweakey characteristic up to respectively 14 and 12 rounds for the TK1 and TK2 models.

We present a garbling scheme for quantum circuits, thus achieving a decomposable randomized encoding scheme for quantum computation. Specifically, we show how to compute an encoding of a given quantum circuit and quantum input, from which it is possible to derive the output of the computation and nothing else. In the classical setting, garbled circuits (and randomized encodings in general) are a versatile cryptographic tool with many applications such as secure multiparty computation, delegated computation, depth-reduction of cryptographic primitives, complexity lower-bounds, and more. However, a quantum analogue for garbling general circuits was not known prior to this work. We hope that our quantum randomized encoding scheme can similarly be useful for applications in quantum computing and cryptography. To illustrate the usefulness of quantum randomized encoding, we use it to design a conceptually-simple zero-knowledge (ZK) $\Sigma$-protocol for the complexity class QMA. Our protocol has a single-bit challenge, and allows the inputs to be delayed to the last round. The only previously-known ZK $\Sigma$-protocol for QMA is due to Broadbent and Grilo (FOCS 2020), which does not have the aforementioned properties.

Transferable e-cash is the most faithful digital analog of physical cash, as it allows users to transfer coins between them in isolation, that is, without interacting with a bank or a “ledger”. Appropriate protection of user privacy and, at the same time, providing means to trace fraudulent behavior (double-spending of coins) have made instantiating the concept notoriously hard. Baldimtsi et al. (PKC'15) gave a first instantiation, but, as it relies on a powerful cryptographic primitive, the scheme is not practical. We also point out a flaw in their scheme. In this paper we revisit the model for transferable e-cash and propose simpler yet stronger security definitions. We then provide the first concrete construction, based on bilinear groups, give rigorous proofs that it satisfies our model, and analyze its efficiency in detail.

We present a novel public key encryption scheme that enables users to exchange many bits messages by means of \emph{at least} two large prime numbers in a Goldwasser-Micali manner. Our cryptosystem is in fact a generalization of the Joye-Libert scheme (being itself an abstraction of the first probabilistic encryption scheme). We prove the security of the proposed cryptosystem in the standard model (based on the gap $2^k$-residuosity assumption) and report complexity related facts. We also describe an application of our scheme to biometric authentication and discuss the security of our suggested protocol. Last but not least, we indicate several promising research directions.

Minimal codes are characterized by the property that none of the codewords is covered by some other linearly independent codeword. We first show that the use of a bent function $g$ in the so-called direct sum of Boolean functions $h(x,y)=f(x)+g(y)$, where $f$ is arbitrary, induces minimal codes. This approach gives an infinite class of minimal codes of length $2^n$ and dimension $n+1$ (assuming that $h: \F_2^n \rightarrow \F_2$), whose weight distribution is exactly specified for certain choices of $f$. To increase the dimension of these codes with respect to their length, we introduce the concept of \textit{non-covering permutations} (referring to the property of minimality) used to construct a bent function $g$ in $s$ variables, which allows us to employ a suitable subspace of derivatives of $g$ and generate minimal codes of dimension $s+s/2+1$ instead. Their exact weight distribution is also determined. In the second part of this article, we first provide an efficient method (with easily satisfied initial conditions) of generating minimal $[2^n,n+1]$ linear codes that cross the so-called Ashikhmin-Barg bound. This method is further extended for the purpose of generating minimal codes of larger dimension $n+s/2+2$, through the use of suitable derivatives along with the employment of non-covering permutations. To the best of our knowledge, the latter method is the most general framework for designing binary minimal linear codes that violate the Ashikhmin-Barg bound. More precisely, for a suitable choice of derivatives of $h(x,y)=f(x) + g(y)$, where $g$ is a bent function and $f$ satisfies certain minimality requirements, for any fixed $f$, one can derive a huge class of non-equivalent wide binary linear codes of the same length by varying the permutation $\phi$ when specifying the bent function $g(y_1,y_2)=\phi(y_2)\cdot y_1$ in the Maiorana-McFarland class. The weight distribution is given explicitly for any (suitable) $f$ when $\phi$ is an almost bent permutation.

In this paper, we show how multiplication for polynomial rings used in the NIST PQC finalists Saber and NTRU can be efficiently implemented using the Number-theoretic transform (NTT). We obtain superior performance compared to the previous state of the art implementations using Toom–Cook multiplication on both NIST’s primary software optimization targets AVX2 and Cortex-M4. Interestingly, these two platforms require different approaches: On the Cortex-M4, we use 32-bit NTT-based polynomial multiplication, while on Intel we use two 16-bit NTT-based polynomial multiplications and combine the products using the Chinese Remainder Theorem (CRT). For Saber, the performance gain is particularly pronounced. On Cortex-M4, the Saber NTT-based matrix-vector multiplication is 61% faster than the Toom-Cook multiplication resulting in 22% fewer cycles for Saber encapsulation. For NTRU, the speed-up is less impressive, but still NTT-based multiplication performs better than Toom–Cook for all parameter sets on Cortex-M4. The NTT-based polynomial multiplication for NTRU-HRSS is 10% faster than Toom–Cook which results in a 6% cost reduction for encapsulation. On AVX2, we obtain speed-ups for three out of four NTRU parameter sets. As a further illustration, we also include code for AVX2 and Cortex-M4 for the Chinese Association for Cryptologic Research competition award winner LAC (also a NIST round 2 candidate) which outperforms existing code.

Recently, privacy-preserving logistic regression techniques on distributed data among several data owners drew attention in terms of their applicability in federated learning environment. Many of them have been built upon cryptographic primitives such as secure multiparty computations(MPC) and homomorphic encryptions(HE) to protect the privacy of data. The secure multiparty computation provides fast and secure unit operations for arithmetic and bit operations but they often does not scale with large data well enough due to large computation cost and communication overhead. From recent works, many HE primitives provide their operations in a batch sense so that the technique can be an appropriate choice in a big data environment. However computationally expensive operations such as ciphertext slot rotation or refreshment(so called bootstrapping) and large public key size are hurdles that hamper widespread of the technique in the industry-level environment. In this paper, we provide a new hybrid approach of a privacy-preserving logistic regression training and a inference, which utilizes both MPC and HE techniques to provide efficient and scalable solution while minimizing needs of key management and complexity of computation in encrypted state. Utilizing batch sense properties of HE, we present a method to securely compute multiplications of vectors and matrices using one HE multiplication, compared to the naive approach which requires linear number of multiplications regarding to the size of input data. We also show how we used a 2-party additive secret sharing scheme to control noises of expensive HE operations such as bootstrapping efficiently.

We initiate the study of multi-party computation for classical functionalities (in the plain model) with security against malicious polynomial-time quantum adversaries. We observe that existing techniques readily give a polynomial-round protocol, but our main result is a construction of constant-round post-quantum multi-party computation. We assume mildly super-polynomial quantum hardness of learning with errors (LWE), and polynomial quantum hardness of an LWE-based circular security assumption. Along the way, we develop the following cryptographic primitives that may be of independent interest: - A spooky encryption scheme for relations computable by quantum circuits, from the quantum hardness of an LWE-based circular security assumption. This yields the first quantum multi-key fully-homomorphic encryption scheme with classical keys. - Constant-round zero-knowledge secure against multiple parallel quantum verifiers from spooky encryption for relations computable by quantum circuits. To enable this, we develop a new straight-line non-black-box simulation technique against parallel verifiers that does not clone the adversary's state. This forms the heart of our technical contribution and may also be relevant to the classical setting. - A constant-round post-quantum non-malleable commitment scheme, from the mildly super-polynomial quantum hardness of LWE.

With the location-based services (LBS) booming, the volume of spatial data inevitably explodes. In order to reduce local storage and computational overhead, users tend to outsource data and initiate queries to the cloud. However, sensitive data or queries may be compromised if cloud server has access to raw data and plaintext token. To cope with this problem, searchable encryption for geometric range is applied. Geometric range search has wide applications in many scenarios, especially the circular range search. In this paper, a practical and secure circular range search scheme (PSCS) is proposed to support searching for spatial data in a circular range. With our scheme, a semi-honest cloud server will return data for a given circular range correctly without uncovering index privacy or query privacy. We propose a polynomial split algorithm which can decompose the inner product calculation neatly. Then, we define the security of our PSCS formally and prove that it is secure under same-closeness-pattern chosen-plaintext attacks (CLS-CPA) in theory. In addition, we demonstrate the efficiency and accuracy through analysis and experiments compared with existing schemes.

Digital contact tracing apps allow to alert people who have been in contact with people who may be contagious. The Google/Apple Exposure Notification (GAEN) system is based on Bluetooth proximity estimation. It has been adopted by many countries around the world. However, many possible attacks are known. The goal of some of them is to inject a false alert on someone else's phone. This way, an adversary can eliminate a competitor in a sport event or a business in general. Political parties can also prevent people from voting. In this report, we review several methods to inject false alerts. One of them requires to corrupt the clock of the smartphone of the victim. For that, we build a time-traveling machine to be able to remotely set up the clock on a smartphone and experiment our attack. We show how easy this can be done. We successfully tested several smartphones with either the Swiss or the Italian app (SwissCovid or Immuni). We confirms is also works on other GAEN-based apps: NHS COVID-19 (in England and Wales), Corona-Warn-App (in Germany), and Coronalert (Belgium). The time-machine can also be used in active attack to identify smartphones. We can recognize smartphones that we have passively seen in the past. We can passively recognize in the future smartphones that we can see in present. We can also make smartphones identify themselves with a unique number. Finally, we report a simpler attack which needs no time machine but relies on the existence of still-valid keys reported on the server. We observed the case in several countries. The attack is made trivial in Austria, Denmark, Spain, Italy, the Netherlands, Alabama, Delaware, Wyoming, Canada, and England & Whales. Other regions are affected by interoperability too.

Boyle et al. (TCC 2019) proposed a new approach for secure computation in the preprocessing model building on function secret sharing (FSS), where a gate $g$ is evaluated using an FSS scheme for the related offset family $g_r(x)=g(x+r)$. They further presented efficient FSS schemes based on any pseudorandom generator (PRG) for the offset families of several useful gates $g$ that arise in "mixed-mode'' secure computation. These include gates for zero test, integer comparison, ReLU, and spline functions. The FSS-based approach offers significant savings in online communication and round complexity compared to alternative techniques based on garbled circuits or secret sharing. In this work, we improve and extend the previous results of Boyle et al. by making the following three kinds of contributions: - Improved Key Size: The preprocessing and storage costs of the FSS-based approach directly depend on the FSS key size. We improve the key size of previous constructions through two steps. First, we obtain roughly 4x reduction in key size for Distributed Comparison Function (DCF), i.e., FSS for the family of functions $f^<_a_,_b(x)$ that output $b$ if $x < a$ and $0$ otherwise. DCF serves as a central building block in the constructions of Boyle et al. Second, we improve the number of DCF instances required for realizing useful gates $g$. For example, whereas previous FSS schemes for ReLU and $m$-piece spline required 2 and $2m$ DCF instances, respectively, ours require only a single instance of DCF in both cases. This improves the FSS key size by 6-22x for commonly used gates such as ReLU and sigmoid. - New Gates: We present the first PRG-based FSS schemes for arithmetic and logical shift gates, as well as for bit-decomposition where both the input and outputs are shared over $Z_N$ for $N = 2^n$. These gates are crucial for many applications related to fixed-point arithmetic and machine learning. - A Barrier: The above results enable a 2-round PRG-based secure evaluation of "multiply-then-truncate,'' a central operation in fixed-point arithmetic, by sequentially invoking FSS schemes for multiplication and shift. We identify a barrier to obtaining a 1-round implementation via a single FSS scheme, showing that this would require settling a major open problem in the area of FSS: namely, a PRG-based FSS for the class of bit-conjunction functions.

In this paper, we initiate the study of interactive proofs for the promise problem $\mathsf{QBBC}$ (i.e., quantum black-box computations), which consists of a quantum device $\mathcal{D}(|x\rangle |y\rangle) =|x\rangle D_x(|y\rangle)$ acting on $(n+m)$ qubits for some self-joint unitary $D_x$ (i.e., $D_x(D_x(|y\rangle)) = |y\rangle$), a classical device $\mathcal{R}_F$ deciding the input-output relation of some unknown function $F:\{0,1\}^n \rightarrow \{0,1\}^m$, and two reals $0< b < a \leq 1$. Let $p(\mathcal{D},x) = \| |x,F(x)\rangle \langle x,F(x)| \mathcal{D}(|x\rangle |0^m\rangle)\|^2$ be the probability of obtaining $(x,F(x))$ as a result of a standard measurement of the $(n+m)$-qubit state returned by $\mathcal{D}$ on input $|x\rangle |0^m\rangle$. The task of the problem $\mathsf{QBBC}(\mathcal{D},\mathcal{R}_F,a,b)$ is to distinguish between two cases for all $x\in \{0,1\}^n$: \\ $\bullet$ YES Instance: $p(\mathcal{D},x) \geq a$; $\bullet$ NO Instance: $p(\mathcal{D},x) \leq b$. First, we show that for any constant $15/16< a \leq 1$, the problem $\mathsf{QBBC}(\mathcal{D},\mathcal{R}_F,a,b)$ has an efficient two-round interactive proof $(\mathcal{P}^{\mathcal{D}},\mathcal{V}^{\mathcal{R}_F})$ which basically allows a verifier $\mathcal{V}$, given a classical black-box device $\mathcal{R}_F$, to efficiently verify if the prover $\mathcal{P}$ has a quantum black-box device $\mathcal{D}$ (correctly) computing $F$. This proof system achieves completeness $\frac{1 + a}{2}$ and soundness error $\frac{31}{32} + \frac{\epsilon}{2} + \mathsf{negl}(n)$ for any constant $\max(0,b-\frac{15}{16})<\epsilon<a - \frac{15}{16}$, given that the verifier $\mathcal{V}$ has some (limited) quantum capabilities. In terms of query complexities, the prover $\mathcal{P}^\mathcal{D}$ will make at most two quantum queries to $\mathcal{D}$, while the verifier $\mathcal{V}^{\mathcal{R}_F}$ only makes a single classical query to $\mathcal{R}_F$. This result is based on an information versus disturbance lemma, which may be of independent interest. Second, under the learning with errors (LWE) assumption in (Regev 2005), we show that the problem $\mathsf{QBBC}(\mathcal{D},\mathcal{R}_F,a,b)$ can even have an efficient interactive proof $(\mathcal{P}^{\mathcal{D}},\mathcal{V}^{\mathcal{R}_F})$ with a fully classical verifier $\mathcal{V}$ that does not have any quantum capability. This proof system achieves completeness $\frac{1 + a}{2}-\mathsf{negl}(n)$ and soundness error $\frac{1+b}{2} + \mathsf{negl}(n)$, and thus applies to any $\mathsf{QBBC}(\mathcal{D},\mathcal{R}_F,a,b)$ with constants $0< b<a \leq 1$. Moreover, this proof system has the same query complexities as above. This result is based on the techniques introduced in (Brakerski et al. 2018) and (Mahadev 2018). As an application, we show that the problem of distinguishing the random oracle model (ROM) and the quantum random oracle model (QROM) in cryptography can be naturally seen as a $\mathsf{QBBC}$ problem. By applying the above result, we immediately obtain a separation between ROM and QROM under the standard LWE assumption.

Threshold signing research progressed a lot in the last three years, especially for ECDSA, which is less MPC-friendly than Schnorr-based signatures such as EdDSA. This progress was mainly driven by blockchain applications, and boosted by breakthrough results concurrently published by Lindell and by Gennaro & Goldfeder. Since then, several research teams published threshold signature schemes with different features, design trade-offs, building blocks, and proof techniques. Furthermore, threshold signing is now deployed within major organizations to protect large amounts of digital assets. Researchers and practitioners therefore need a clear view of the research state, of the relative merits of the protocols available, and of the open problems, in particular those that would address "real-world" challenges. This survey therefore proposes to (1) describe threshold signing and its building blocks in a general, unified way, based on the extended arithmetic black-box formalism (ABB+); (2) review the state-of-the-art threshold signing protocols, highlighting their unique properties and comparing them in terms of security assurance and performance, based on criteria relevant in practice; (3) review the main open-source implementations available.

One of the NIST Post-Quantum Cryptography Standardization Process Round 2 candidates is the NewHope cryptosystem, which is a suite of two RLWE based key encapsulation mechanisms. Recently, four key reuse attacks were proposed against NewHope by Bauer et al., Qin et al., Bhasin et al. and Okada et al. In these attacks, the adversary has access to the key mismatch oracle which tells her if a given ciphertext decrypts to a given message under the targeted secret key. Previous attacks either require more than 26 000 queries to the oracle or they never recover the whole secret key. In this paper, we present a new attack against the NewHope cryptosystem in these key reuse situations. Our attack recovers the whole secret key with the probability of 100% and requires less than 3 200 queries on average. Our work improves state-of-the-art results for NewHope and makes the comparison with other candidates more relevant.

This work studies signcryption of classical data in the quantum setting. Essentially, we investigate the quantum security of generic constructions of signcryption schemes based on three paradigms, viz., encrypt-then-sign (EtS), sign-then-encrypt (StE) and commit-then-encrypt-and-sign (CtE&S). For doing that we define the confidentiality and authenticity of signcryption for classical data both in insider and outsider models against quantum adversaries. In the insider model, we show that the quantum variants of the classical results hold in the quantum setting. However, for arguing authenticity in outsider model of StE and CtE&S paradigms, we need to consider an intermediate setting in which the adversary is given quantum access to unsigncryption oracle but classical access to signcryption oracle. In two-user outsider model, as in the classical setting, we show that post-quantum CPA security of the base encryption scheme is amplified in the EtS paradigm if the base signature scheme satisfies a stronger definition. We prove an analogous result in the StE paradigm. Interestingly, in the multi-user setting, our results strengthen the known classical results. Furthermore, our results for the EtS and StE paradigms in the two-user outsider model also extend to the setting of authenticated encryption. Finally, we briefly discuss concrete instantiations in various paradigms utilizing some available candidates of quantum secure encryption and signature schemes.

To expand capacity, many resource-constrained industrial devices encrypt and outsource their private data to public clouds, employing a searchable encryption (SE) scheme that provides efficient search service directly to encrypted data. Current tree-based SE schemes can do this and support sublinear encrypted Boolean queries. However, they all suffer from log n overhead in a search procedure. To resolve the challenge, in this paper, we propose a new tree structure called the four-branch tree (FB-tree). Our key design is to build a tree node with four branches, which helps a search reach the destination nodes with fast jumps. Based on the index tree, we setup two systems for different requirements. The first system for efficiency-first settings achieves nearly optimal search complexity and adaptive security. The second, constructed via an oblivious RAM for security-first environments, still achieves worst-case sublinear search complexity. FB-tree performance is extensively evaluated with several real datasets. The Experimental data demonstrate that the FB-tree-based systems outperform the state-of-the-art solutions in terms of efficiency and scalability when Boolean queries are issued.

We construct the first decentralized multi-authority attribute-based encryption (MA-ABE) scheme for a non-trivial class of access policies whose security is based (in the random oracle model) solely on the Learning With Errors (LWE) assumption. The supported access policies are ones described by DNF formulas. All previous constructions of MA-ABE schemes supporting any non-trivial class of access policies were proven secure (in the random oracle model) assuming various assumptions on bilinear maps. In our system, any party can become an authority and there is no requirement for any global coordination other than the creation of an initial set of common reference parameters. A party can simply act as a standard ABE authority by creating a public key and issuing private keys to different users that reflect their attributes. A user can encrypt data in terms of any DNF formulas over attributes issued from any chosen set of authorities. Finally, our system does not require any central authority. In terms of efficiency, when instantiating the scheme with a global bound $s$ on the size of access policies, the sizes of public keys, secret keys, and ciphertexts, all grow with $s$. Technically, we develop new tools for building ciphertext-policy ABE (CP-ABE) schemes using LWE. Along the way, we construct the first provably secure CP-ABE scheme supporting access policies in $\mathsf{NC}^1$ that avoids the generic universal-circuit-based key-policy to ciphertext-policy transformation. In particular, our construction relies on linear secret sharing schemes with new properties and in some sense is more similar to CP-ABE schemes that rely on bilinear maps. While our CP-ABE construction is not more efficient than existing ones, it is conceptually intriguing and further we show how to extend it to get the MA-ABE scheme described above.

In this paper, we present new algorithms for the field arithmetic of supersingular isogeny Diffie-Hellman; one of the fifteen remaining candidates in the NIST post-quantum standardization process. Our approach uses a polynomial representation of the field elements together with mechanisms to keep the coefficients within bounds during the arithmetic operations. We present timings and comparisons for SIKEp503 and suggest a novel 736-bit prime that offers a $1.17\times$ speedup compared to SIKEp751 for a similar level of security.

In a recent seminal work, Bitansky and Shmueli (STOC '20) gave the first construction of a constant round zero-knowledge argument for NP secure against quantum attacks. However, their construction has several drawbacks compared to the classical counterparts. Specifically, their construction only achieves computational soundness, requires strong assumptions of quantum hardness of learning with errors (QLWE assumption) and the existence of quantum fully homomorphic encryption (QFHE), and relies on non-black-box simulation. In this paper, we resolve these issues at the cost of weakening the notion of zero-knowledge to what is called $\epsilon$-zero-knowledge. Concretely, we construct the following protocols: - We construct a constant round interactive proof for NP that satisfies statistical soundness and black-box $\epsilon$-zero-knowledge against quantum attacks assuming the existence of collapsing hash functions, which is a quantum counterpart of collision-resistant hash functions. Interestingly, this construction is just an adapted version of the classical protocol by Goldreich and Kahan (JoC '96) though the proof of $\epsilon$-zero-knowledge property against quantum adversaries requires novel ideas. - We construct a constant round interactive argument for NP that satisfies computational soundness and black-box $\epsilon$-zero-knowledge against quantum attacks only assuming the existence of post-quantum one-way functions. At the heart of our results is a new quantum rewinding technique that enables a simulator to extract a committed message of a malicious verifier while simulating verifier's internal state in an appropriate sense.

Dilithium is a lattice-based digital signature, one of the finalist candidates in the NIST's standardization process for post-quantum cryptography. In this paper, we propose a first side-channel attack on the process of signature generation of Dilithium. During the Dilithium signature generation process, we used NTT encryption single-trace for machine learning-based profiling attacks. In addition, it is possible to attack masked Dilithium using sparse multiplication. The proposed method is shown through experiments that all key values can be exposed 100% through a single-trace regardless of the optimization level.

A multi-identity pure fully homomorphic encryption (MIFHE) enables a server to perform arbitrary computation on the ciphertexts that are encrypted under different identities. In case of multi-attribute pure FHE (MAFHE), the ciphertexts are associated with different attributes. Clear and McGoldrick (CANS 2014) gave the first chosen-plaintext attack secure MIFHE and MAFHE based on indistinguishability obfuscation. In this study, we focus on building MIFHE and MAFHE which are se- cure under type 1 of chosen-ciphertext attack (CCA1) security model. In particular, using witness pseudorandom functions (Zhandry, TCC 2016) and multi-key pure FHE or MFHE (Mukherjee and Wichs, EUROCRYPT 2016) we propose the following constructions: – CCA secure identity-based encryption (IBE) that enjoys an optimal size ciphertexts, which we extend to a CCA1 secure MIFHE scheme. – CCA secure attribute-based encryption (ABE) having an optimal size ciphertexts, which we transform into a CCA1 secure MAFHE scheme. By optimal size, we mean that the bit-length of a ciphertext is the bit-length of the message plus a security parameter multiplied with a constant. Known constructions of multi-identity(attribute) FHEs are either leveled, that is, support only bounded depth circuit evaluations or secure in a weaker CPA security model. With our new approach, we achieve both CCA1 security and evaluation on arbitrary depth circuits for multi-identity(attribute) FHE schemes.

Prior works in privacy-preserving biometric authentication mostly focus on the following setting. An organization collects users' biometric data during registration and later authorized access to the organization services after successful authentication. Each organization has to maintain its own biometric database. Similarly each user has to release her biometric information to multiple organizations; Independently, government authorities are making their extensive, nation-wide biometric database available to agencies and organizations, for countries that allow such access. This will enable organizations to provide authentication without maintaining biometric databases, while users only need to register once. However privacy remains a concern. We propose a privacy-preserving system, PBio, for this new setting. The core component of PBio is a new protocol comprising distance recoverable encryption and secure distance computation. We introduce an encrypt-then-split mechanism such that each of the organizations holds only an encrypted partial biometric database. This minimizes the risk of template reconstruction in the event that the encrypted partial database is recovered due to leak of the encryption key. PBio is also secure even when the organizations collude. A by-product benefit is that the use of encrypted partial templates allows quicker rejection for non-matching instances. We implemented a cloud-based prototype with desktop and Android applications. Our experiment results based on real remote users show that PBio is highly efficient. A round-trip authentication takes approximately 74ms (desktop) and 626ms (Android). The computation and communication overhead introduced by our new cryptographic protocol is only about 10ms (desktop) and 54ms (Android).

In this paper the author introduces methods that represent elements of a Finite Field $F_q$ as matrices that linearize certain operations like the product of elements in $F_q$. Since the Central Polynomial Map $\mathcal{F}(X)$ coming from the HFE scheme involves multiplication of elements in a Finite Field $F_q$, using a \textit{novel method} based in Linear Algebra the Quadratic Forms resulting from the polynomial map of the Public Key can be computed in few steps and these are bounded by the matrix $R$ that represents the linear action of the polynomial remainder modulo $f(t)$, which is the irreducible polynomial that identifies $F_q$. When the irreducible polynomial $f(t)$ is of the form $t^a+t^b+1$ \textit{modulo $2$}, the matrix $R$ is computed deterministically in few steps and all the Quadratic Forms are derived from this matrix. The research done tells that the central Polynomial Map $\mathcal{F}(X)$ is computed extremely fast, for example, in the CAS \textit{Mathematica}, taking an HFE Polynomial, Quadratic Forms are computed in $\textcolor{red}{\approx 1.4}$ seconds for the case $n=128$. This raises the more general lemma that Quadratic Forms obtained from BigField schemes are entirely dependent on the selected irreducible polynomial $f(t)$ as the matrix $R$ is conditioned by the structure of this polynomial.

Access Control or authorization is referred to as the confinement of specific actions of an entity to perform an action. Blockchain driven access control mechanisms have gained considerable attention since applications for blockchain were found beyond the premises of cryptocurrencies. However, there are no systematic efforts to analyze existing empirical evidence. To this end, we aim to synthesize literature to understand the state-of-the-art in blockchain driven access control mechanisms with respect to underlying platforms, utilized blockchain properties, nature of the models and associated testbeds & tools. We conducted the review in a systematic way. Meta Analysis and thematic synthesis was performed on the findings and results from the relevant primary studies in order to answer the research questions in perspective. We identified 76 relevant primary studies passing the quality assessment. A number of problems like single point of failure, security, privacy etc were targeted by the relevant primary studies. The meta analysis suggests the use of different blockchain platforms, several application domains and different utilized blockchain properties. In this paper, we present a systematic literature review of blockchain driven access control systems. In hindsight, we present a taxonomy of blockchain driven access control systems to better under the immense implications this field has over various application domains.

A hash function family $\mathcal{H}$ is correlation intractable for a $t$-input relation $\mathcal{R}$ if, given a random function $h$ chosen from $\mathcal{H}$, it is hard to find $x_1,\ldots,x_t$ such that $\mathcal{R}(x_1,\ldots,x_t,h(x_1),\ldots,h(x_t))$ is true. Among other applications, such hash functions are a crucial tool for instantiating the Fiat-Shamir heuristic in the plain model, including the only known NIZK for NP based on the learning with errors (LWE) problem (Peikert and Shiehian, CRYPTO 2019). We give a conceptually simple and generic construction of single-input CI hash functions from shift-hiding shiftable functions (Peikert and Shiehian, PKC 2018) satisfying an additional one-wayness property. This results in a clean abstract framework for instantiating CI, and also shows that a previously existing function family (PKC 2018) was already CI under the LWE assumption. In addition, our framework transparently generalizes to other settings, yielding new results: - We show how to instantiate certain forms of multi-input CI under the LWE assumption. Prior constructions either relied on a very strong ``brute-force-is-best'' type of hardness assumption (Holmgren and Lombardi, FOCS 2018) or were restricted to ``output-only'' relations (Zhandry, CRYPTO 2016). - We construct single-input CI hash functions from indistinguishability obfuscation (iO) and one-way permutations. Prior constructions relied essentially on variants of fully homomorphic encryption that are impossible to construct from such primitives. This result also generalizes to more expressive variants of multi-input CI under iO and additional standard assumptions.

We show that lazily Barrett reducing when computing the inverse number theoretic transform (NTT) is optimal.

We give upper bounds for the solving degree and the last fall degree of the polynomial system associated to the HFE (Hidden Field Equations) cryptosystem. Our bounds improve the known bounds for this type of systems. We also present new results on the connection between the solving degree and the last fall degree and prove that, in some cases, the solving degree is independent of coordinate changes.

The security of multivariate cryptosystems and digital signature schemes relies on the hardness of solving a system of polynomial equations over a finite field. Polynomial system solving is also currently a bottleneck of index-calculus algorithms to solve the elliptic and hyperelliptic curve discrete logarithm problem. The complexity of solving a system of polynomial equations is closely related to the cost of computing Gröbner bases, since computing the solutions of a polynomial system can be reduced to finding a lexicographic Gröbner basis for the ideal generated by the equations. Several algorithms for computing such bases exist: We consider those based on repeated Gaussian elimination of Macaulay matrices. In this paper, we analyze the case of random systems, where random systems means either semi-regular systems, or quadratic systems in $n$ variables which contain a regular sequence of $n$ polynomials. We provide explicit formulae for bounds on the solving degree of semi-regular systems with $m>n$ equations in $n$ variables, for equations of arbitrary degrees for $m=n+1$, and for any $m$ for systems of quadratic or cubic polynomials. In the appendix, we provide a table of bounds for the solving degree of semi-regular systems of $m=n+k$ quadratic equations in $n$ variables for $2\leq k,n\leq 100$ and online we provide the values of the bounds for $2\leq k,n\leq 500$. For quadratic systems which contain a regular sequence of $n$ polynomials, we argue that the Eisenbud-Green-Harris conjecture, if true, provides a sharp bound for their solving degree, which we compute explicitly.

Memory encryption with an authentication tree has received significant attentions due to the increasing threats of active attacks and the widespread use of non-volatile memories. It is also gradually deployed to real-world systems, as shown by SGX available in Intel processors. The topic of memory encryption has been recently extensively studied, most actively from the viewpoint of system architecture. In this paper, we study the topic from the viewpoint of provable secure symmetric-key designs, with a primal focus on latency which is an important criterion for memory. A progress in such a direction can be observed in the memory encryption scheme inside SGX (SGX integrity tree or SIT). It uses dedicated, low-latency symmetric-key components, i.e., a message authentication code (MAC) and an authenticated encryption (AE) scheme based on AES-GCM. SIT has an excellent latency, however, it has a scalability issue for its on-chip memory size. By carefully examining the required behavior of MAC and AE schemes and their interactions in the tree operations, we develop a new memory encryption scheme called ELM. It consists of fully-parallelizable, low-latency MAC and AE schemes and utilizes an incremental property of the MAC. Our AE scheme is similar to OCB, however it improves OCB in terms of decryption latency. To showcase the effectiveness, we consider instantiations of ELM using the same cryptographic cores as SIT, and show that ELM has significantly lower latency than SIT for large memories. We also conducted preliminary hardware implementations to show that the total implementation size is comparable to SIT.

Improved filter permutators are designed to build stream ciphers that can be efficiently evaluated homomorphically. So far the transciphering with such ciphers has been implemented with homomorphic schemes from the second generation. In theory the third generation is more adapted for the particular design of these ciphers. In this article we study how suitable it is in practice. We implement the transciphering of different instances of the stream cipher family FiLIP with homomorphic encryption schemes of the third generation using the TFHE library. We focus on two kinds of filter for FiLIP. First we consider the direct sum of monomials, already evaluated using HElib and we show the improvements on these results. Then we focus on the XOR-threshold filter, we develop strategies to efficiently evaluate any symmetric Boolean function in an homomorphic way, allowing us to give the first timings for such filters. We investigate different approaches for the homomorphic evaluation: using the leveled homomorphic scheme TGSW, an hybrid approach combining TGSW and TLWE schemes, and the gate boostrapping approach. We discuss the costs in time and memory and the impact on delegation of computation of these different approaches, and we perform a comparison with others transciphering schemes.

Searchable Symmetric Encryption(SSE) remains to be one of the hot topics in the field of cloud storage technology. However, malicious servers may return incorrect search results intentionally, which will bring significant security risks to users. Therefore, verifiable searchable encryption emerged. In the meantime, single-keyword query limits the applications of searchable encryption. Accordingly, more expressive searchable encryption schemes are desirable. In this paper, we propose a verifiable conjunctive keyword search scheme based on Cuckoo filter (VCKSCF), which significantly reduces verification and storage overhead. Security analysis indicates that the proposed scheme achieves security in the face of indistinguishability under chosen keyword attack and the unforgeability of proofs and search tokens. Meanwhile, the experimental evaluation demonstrates that it achieves preferable performance in real-world settings.

We extend the classical problem of privacy amplification to a setting where the active adversary, Eve, is also allowed to fully corrupt the internal memory (which includes the shared randomness, and local randomness tape) of one of the honest parties, Alice and Bob, before the execution of the protocol. We require that either one of Alice or Bob detects tampering, or they agree on a shared key that is indistinguishable from the uniform distribution to Eve. We obtain the following results: (1) We give a privacy amplification protocol via low-error non-malleable two-source extractors with one source having low min-entropy. In particular, this implies the existence of such (non-efficient) protocols; (2) We show that even slight improvements to the state-of-the-art explicit non-malleable two-source extractors would lead to explicit low-error, low min-entropy two-source extractors, thereby resolving a long-standing open question. This suggests that obtaining (information-theoretically secure) explicit non-malleable two-source extractors for (1) might be hard; (3) We present explicit constructions of low-error, low min-entropy non-malleable two-source extractors in the CRS model of (Garg, Kalai, Khurana, Eurocrypt 2020), assuming either the quasi-polynomial hardness of DDH or the existence of nearly-optimal collision-resistant hash functions; (4) We instantiate our privacy amplification protocol with the above mentioned non-malleable two-source extractors in the CRS model, leading to explicit, computationally-secure protocols. This is not immediate from (1) because in the computational setting we need to make sure that, in particular, all randomness sources remain samplable throughout the proof. This requires upgrading the assumption of quasi-polynomial hardness of DDH to sub-exponential hardness of DDH. We emphasize that each of the first three results can be read independently.

This paper presents an attack against common procedures for comparing the size-security tradeoffs of proposed cryptosystems. The attack begins with size-security tradeoff data, and then manipulates the presentation of the data in a way that favors a proposal selected by the attacker, while maintaining plausible deniability for the attacker. As concrete examples, this paper shows two manipulated comparisons of size-security tradeoffs of lattice-based encryption proposals submitted to the NIST Post-Quantum Cryptography Standardization Project. One of these manipulated comparisons appears to match public claims made by NIST, while the other does not, and the underlying facts do not. This raises the question of whether NIST has been subjected to this attack. This paper also considers a weak defense and a strong defense that can be applied by standards-development organizations and by other people comparing cryptographic algorithms. The weak defense does not protect the integrity of comparisons, although it does force this type of attack to begin early. The strong defense stops this attack.

New Number Field Sieves (NFS) attacks on the discrete logarithm problem have led to increase the key size of pairing-based cryptography and more precisely pairings on most popular curves like BN. To ensure 128-bit security level, recent costs estimations recommand to switch for BLS24 curves. However, using BLS24 curves for pairing requires to have an efficient arithmetic in Fp4. In this paper, we transposed previous work on multiplication over extesnsion fields using Newton's interpolation to construct a new formula for multiplication in Fp4 and propose time x area efficient hardware implementation of this operation. This co-processor is implemented on Kintex-7 Xilinx FPGA. The efficiency of our design in terms of time x area is almost 3 times better than previous specific architecture for multiplication in Fp4. Our architecture is used to estimate the efficiency of hardware implementations of full pairings on BLS12 and BLS24 curves with a 128-bit security level. This co-processeur can be easily modified to anticipate further curve changes.

Point randomization is an important countermeasure to protect Elliptic Curve Cryptography (ECC) implementations against side-channel attacks. In this paper, we revisit its worst-case security in front of advanced side-channel adversaries taking advantage of analytical techniques in order to exploit all the leakage samples of an implementation. Our main contributions in this respect are the following: first, we show that due to the nature of the attacks against the point randomization (which can be viewed as Simple Power Analyses), the gain of using analytical techniques over simpler divide-and-conquer attacks is limited. Second, we take advantage of this observation to evaluate the theoretical noise levels necessary for the point randomization to provide strong security guarantees and compare different elliptic curve coordinates systems. Then, we turn this simulated analysis into actual experiments and show that reasonable security levels can be achieved by implementations even on low-cost (e.g. 8-bit) embedded devices. Finally, we are able to bound the security on 32-bit devices against worst-case adversaries.

Bitcoin is a blockchain whose immutability relies on Proof-of-Work: Before appending a new block, some so-called miner has to solve a cryptographic challenge by brute force. The blockchain is spread over a network of faithful miners, whose cumulated computing power is assumed to be so large that, among other things, it should be too expensive for an attacker to mine a secret fork $n$ blocks longer than the main blockchain, provided that $n$ is big enough. For a given targeted advance of $n$ blocks, we investigate the expected time for the attacker to mine such a secret fork, the underlying cumulative distribution function, and some related optimization problems.

By design, TLS (Transport Layer Security) is a 2-party, end-to-end protocol. Yet, in practice, TLS delegation is often deployed: that is, middlebox proxies inspect and even modify TLS traffic between the endpoints. Recently, industry-leaders (e.g., Akamai, Cloudflare, Telefonica, Ericcson), standardization bodies (e.g., IETF, ETSI), and academic researchers have proposed numerous ways of achieving safer TLS delegation. We present LURK the LURK (Limited Use of Remote Keys) extension for TLS~1.2, a suite of designs for TLS delegation, where the TLS-server is aware of the middlebox. We implement and test LURK. We also cryptographically prove and formally verify, in Proverif, the security of LURK. Finally, we comprehensively analyze how our designs balance (provable) security and competitive performance.

The security of cryptosystems based on Chebyshev recursive relation, T_n(x)=2xT_{n-1}(x)-T_{n-2}(x), relies on the difficulty of finding the large degree of Chebyshev polynomials from given parameters. The relation cannot be used to evaluate T_n(x) if n is very large. We will investigate other three methods: matrix-multiplication-based evaluation, halve-and-square evaluation, and root-extraction-based evaluation. Though they have the same theoretical complexity O(\log n\log^2p), we find in some cases the root-extraction-based method is more efficient than the others, which is as fast as the general modular exponentiation. The result indicates that the hardness of some cryptosystems based on modular Chebyshev polynomials is almost equivalent to that of solving general discrete logarithm.

In a hybrid key encapsulation construction, multiple independent key encapsulation mechanisms are combined in a way that ensures the resulting key is secure according to the strongest mechanism. Such constructions can combine mechanisms that are secure in different settings and achieve the combined security of all mechanisms. For example classical and post-quantum mechanisms can be combined in order to secure communication against current threats as well as future quantum adversaries. This paper contains proofs of security for two hybrid key encapsulation mechanisms along with the relevant security definitions. Practical interpretation of these results is also provided in order to guide the use of these mechanisms in applications and standards.

We use biometrics like fingerprints and facial images to identify ourselves to our mobile devices and log on to applications everyday. Such authentication is internal-facing: we provide measurement on the same device where the template is stored. If our personal devices could participate in external-facing authentication too, where biometric measurement is captured by a nearby external sensor, then we could also enjoy a frictionless authentication experience in a variety of physical spaces like grocery stores, convention centers, ATMs, etc. The open setting of a physical space brings forth important privacy concerns though. We design a suite of secure protocols for external-facing authentication based on the cosine similarity metric which provide privacy for both user templates stored on their devices and the biometric measurement captured by external sensors in this open setting. The protocols provide different levels of security, ranging from passive security with some leakage to active security with no leakage at all. With the help of new packing techniques and zero-knowledge proofs for Paillier encryption - and careful protocol design, our protocols achieve very practical performance numbers. For templates of length 256 with elements of size 16 bits each, our fastest protocol takes merely 0.024 seconds to compute a match, but even the slowest one takes no more than 0.12 seconds. The communication overhead of our protocols is very small too. The passive and actively secure protocols (with some leakage) need to exchange just 16.5KB and 27.8KB of data, respectively. The first message is designed to be reusable and, if sent in advance, would cut the overhead down to just 0.5KB and 0.8KB, respectively.

Proof of Work (PoW) protocols, originally proposed to circumvent DoS and email spam attacks, are now at the heart of the majority of recent cryptocurrencies. Current popular PoW protocols are based on hash puzzles. These puzzles are solved via a brute force search for a hash output with particular properties, such as a certain number of leading zeros. By considering the hash as a random function, and fixing a priori a sufficiently large search space, Grover's search algorithm gives an asymptotic quadratic advantage to quantum machines over classical machines. In this paper, as a step towards a fuller understanding of post quantum blockchains, we propose a PoW protocol for which quantum machines have a smaller asymptotic advantage. Specifically, for a lattice of rank \(n\) sampled from a particular class, our protocol provides as the PoW an instance of the Hermite Shortest Vector Problem (Hermite-SVP) in the Euclidean norm, to a small approximation factor. Asymptotically, the best known classical and quantum algorithms that directly solve SVP type problems are heuristic lattice sieves, which run in time \(2^{0.292n + o(n)}\) and \(2^{0.265n + o(n)}\) respectively. We discuss recent advances in SVP type problem solvers and give examples of where the impetus provided by a lattice based PoW would help explore often complex optimization spaces.

The random oracle model (ROM) enjoys widespread popularity, mostly because it tends to allow for tight and conceptually simple proofs where provable security in the standard model is elusive or costly. While being the adequate replacement of the ROM in the post-quantum security setting, the quantum-accessible random oracle model (QROM) has thus far failed to provide these advantages in many settings. In this work, we focus on adaptive reprogrammability, a feature of the ROM enabling tight and simple proofs in many settings. We show that the straightforward quantum-accessible generalization of adaptive reprogramming is feasible by proving a bound on the adversarial advantage in distinguishing whether a random oracle has been reprogrammed or not. We show that our bound is tight by providing a matching attack. We go on to demonstrate that our technique recovers the mentioned advantages of the ROM in three QROM applications: 1) We give a tighter proof of security of the message compression routine as used by XMSS. 2) We show that the standard ROM proof of chosen-message security for Fiat-Shamir signatures can be lifted to the QROM, straightforwardly, achieving a tighter reduction than previously known. 3) We give the first QROM proof of security against fault injection and nonce attacks for the hedged Fiat-Shamir transform.

This paper gives the first definitions and constructions for incremental pseudo-random functions (IPRFs). The syntax is nonce based. (Algorithms are deterministic but may take as input a non-repeating quantity called a nonce.) The design approach is modular. First, given a scheme secure only in the single-document setting (there is just one document on which incremental updates are being performed) we show how to generically build a scheme that is secure in the more realistic multi-document setting (there are many documents, and they are simultaneously being incrementally updated). Then we give a general way to build an IPRF from (1) an incremental hash function with weak collision resistance properties and (2) a symmetric encryption scheme. (This adapts the classic Carter-Wegman paradigm used to build message authentication schemes in the non-incremental setting.) This leads to many particular IPRFs. Our work has both practical and theoretical motivation and value: Incremental PRFs bring the benefits of incrementality to new applications (such as incremental key derivation), and the movement from randomized or stateful schemes to nonce based ones, and from UF (unforgeability) to PRF security, bring incremental symmetric cryptography up to speed with the broader field of symmetric cryptography itself.

The six infinite families of power APN functions are among the oldest known instances of APN functions, and it has been conjectured in 2000 that they exhaust all possible power APN functions. Another long-standing open problem is that of the Walsh spectrum of the Dobbertin power family, for which it still remains unknown. We derive alternative representations for theinfinite APN monomial families. We show how the Niho, Welch, and Dobbertin functions can be represented as the composition $x^i \circ x^{1/j}$ of two power functions, and prove that our representations are optimal, i.e. no two power functions of lesser algebraic degree can produce the same composition. We investigate compositions $x^i \circ L \circ x^{1/j}$ for a linear polynomial $L$, and compute all APN functions of this form for $n \le 9$ and for $L$ with binary coefficients, thereby confirming that our theoretical constructions exhaust all possible cases. We present observations and data on power functions with exponent $\sum_{i = 1}^{k-1} 2^{2ni} - 1$ which generalize the inverse and Dobbertin families. We present data on the Walsh spectrum of the Dobbertin function for $n \le 35$, and conjecture its exact form. As an application of our results, we determine the exact values of the Walsh transform of the Kasami function at all points of a special form. Computations performed for $n \le 21$ show that these points cover about 2/3 of the field.

The existence of a provable one-way function is a long-standing open problem. This short note presents an example towards the existence a provable one-way function, example in which both directions are polynomial. Namely, we prove that given a sorted array it takes O(n) operations to randomly permute the array values uniformly over the permutation space, while (comparison based) sorting of the permuted array (of big enough values) requires in the worst case (and in the average case) Omega(n log n) compare operations . We also present a candidate cryptosystem based on permutations of random polynomial values.

Recent research in Dynamic Searchable Symmetric Encryption (DSSE) focuses on efficient search over encrypted data while allowing updates. Unfortunately, as demonstrated by many attacks, updates can be a source of information leakage that can compromise DSSE privacy. To mitigate these attacks, forward and backward privacy of DSSE schemes have been introduced. A concerted effort of the research community has resulted in the publication of many DSSE schemes. To the best of our knowledge, however, there is no DSSE scheme supporting conjunctive queries, which achieves both forward and backward privacy. We give two DSSE schemes with forward and backward privacy, which support conjunctive queries, and they are suitable for different applications. In particular, we first introduce a new data structure termed the extended bitmap index. Then we describe our forward and backward private DSSE schemes, which support conjunctive queries. Our security analysis proves the claimed privacy characteristics, and experiments show that our schemes are practical. Compared to the state-of-the-art DSSE VBTree supporting conjunctive queries (but not backward privacy), our schemes offer search time that is a few orders of magnitude faster. Besides, our schemes claim better security (called Type-C backward privacy).

In this paper we introduce new algorithms that, based only on the independent round keys assumption, allow to practically compute the exact expected differential probability of (truncated) differentials and the expected linear potential of (multidimensional) linear hulls. That is, we can compute the exact sum of the probability or the potential of all characteristics that follow a given activity pattern. We apply our algorithms to various recent SPN ciphers and discuss the results.

We introduce a novel variant of Lagrange interpolation called modular Lagrange interpolation that allows us to obtain and prove error bounds for explicit low-degree polynomial approximations of a function on a union of equally-spaced small intervals even if the function overall is not continuous. We apply our technique to the mod function and obtain explicit low-degree polynomial approximations with small error. In particular, for every $k$ and $N >>k$, we construct low-degree polynomials that approximate $f(x) = x \mod N$, for $|f(x)| \leq 1$ and $|x| \leq kN$, to within O($1/N$) additive approximation. For $k= O(\log N)$, the result is generalized to give O($d$)-degree polynomial approximations to within O($N^{-d}$) error for any $d \geq 1$. Literature in approximation theory allows for arbitrary precision polynomial approximation of only smooth functions, whereas the mod function is only piecewise linear. These polynomials can be used in bootstrapping for approximate homomorphic encryption, which requires computing the mod function near multiples of the modulus. Our work bypasses the fundamental error of approximation in prior works caused by first approximating the mod function by a scaled sine function. We implement the bootstrapping of $\mathsf{HEAAN}$ using our polynomials and profile various parameter settings. For example, we demonstrate bootstrapping that can achieve 67 bit message precision, larger than the precision of a $\mathsf{double}$ variable, whereas the most advanced prior work was only capable of up to 40 bit message precision.

We present two new related families of lattice trapdoors based on the inhomogeneous NTRU problem (iNTRU) defined in Genise et. al (ASIACRYPT 2019). Our constructions are ``gadget-based'' and offer compact secret keys and preimages and compatibility with existing, efficient preimage sampling algorithms. Our trapdoors can be used as a fundamental building block in lattice-based schemes relying lattice trapdoors. In addition, we implemented our trapdoors using the PALISADE library.

There are lots of applications of inner-product functional encryption (IPFE). In this paper, we consider two important extensions of it. One is to enhance IPFE with access control such that only users with a pre-defined identity are allowed to compute the inner product, referred as identity-based inner-product functional encryption (IBIPFE). We formalize the definition of IBIPFE, and propose the first adaptive-secure IBIPFE scheme from Decisional Bilinear Diffie-Hellman (DBDH) assumption. In an IBIPFE scheme, the ciphertext is related to a vector $\vec{x}$ and a new parameter, identity ID. Each secret key is also related to a vector $\vec{y}$ and an identity ID'. The decryption algorithm will output the inner-product value $<\vec{x}, \vec{y}>$ only if ID $=$ ID'. The other extension is to make IBIPFE leakage resilient. We consider the bounded-retrieval model (BRM) in which an adversary can learn at most $l$ bits information from each secret key. Here, $l$ is the leakage bound determined by some external parameters, and it can be set arbitrarily large. After giving the security definition of leakage-resilient IBIPFE, we extend our IBIPFE scheme into a leakage-resilient IBIPFE scheme in the BRM by hash proof system (HPS).

Byzantine Broadcast is an important topic in distributed systems and improving its round complexity has long been a focused challenge. Under honest majority, the state of the art for Byzantine Broadcast is 10 rounds for a static adversary and 16 rounds for an adaptive adversary. In this paper, we present a Byzantine Broadcast protocol with expected 8 rounds under a static adversary and expected 10 rounds under an adaptive adversary. We also generalize our idea to the dishonest majority setting and achieve an improvement over existing protocols.

Most efficient zero-knowledge arguments lack a concrete security analysis, making parameter choices and efficiency comparisons challenging. This is even more true for non-interactive versions of these systems obtained via the Fiat-Shamir transform, for which the security guarantees generically derived from the interactive protocol are often too weak, even when assuming a random oracle. This paper initiates the study of state-restoration soundness in the algebraic group model (AGM) of Fuchsbauer, Kiltz, and Loss (CRYPTO '18). This is a stronger notion of soundness for an interactive proof or argument which allows the prover to rewind the verifier, and which is tightly connected with the concrete soundness of the non-interactive argument obtained via the Fiat-Shamir transform. We propose a general methodology to prove tight bounds on state-restoration soundness, and apply it to variants of Bulletproofs (Bootle et al, S&P '18) and Sonic (Maller et al., CCS '19). To the best of our knowledge, our analysis of Bulletproofs gives the first non-trivial concrete security analysis for a non-constant round argument combined with the Fiat-Shamir transform.

Many organizations stand to benefit from pooling their data together in order to draw mutually beneficial insights -- e.g., for fraud detection across banks, better medical studies across hospitals, etc. However, such organizations are often prevented from sharing their data with each other by privacy concerns, regulatory hurdles, or business competition. We present Senate, a system that allows multiple parties to collaboratively run analytical SQL queries without revealing their individual data to each other. Unlike prior works on secure multi-party computation (MPC) that assume that all parties are semi-honest, Senate protects the data even in the presence of malicious adversaries. At the heart of Senate lies a new MPC decomposition protocol that decomposes the cryptographic MPC computation into smaller units, some of which can be executed by subsets of parties and in parallel, while preserving its security guarantees. Senate then provides a new query planning algorithm that decomposes and plans the cryptographic computation effectively, achieving a performance of up to 145$\times$ faster than the state-of-the-art.

In this paper, we investigate the key dependency of differentials in block ciphers by examining the results of numerous experiments applied to the substitution-permutation network (SPN) structure using 4-bit S-boxes. In particular, we consider two cipher structures: a toy 16-bit SPN and a realistic 64-bit SPN. For both ciphers, we generate many different experimental results by inserting the S-boxes used in many lightweight cipher proposals and applying different forms of round key generation. It is demonstrated that, in most circumstances, with enough rounds in the cipher, the probability distribution (across all keys) of the differential probability follows the distribution expected in the theoretically ideal scenario. However, this does not occur consistently for all S-boxes and all approaches to round key generation. Consequently, it is possible that a cipher may have more susceptibility to differential cryptanalysis for some subset of the cipher keys than is implied when employing the standard assumptions used in analyzing a cipher’s security.

We introduce Vetted Encryption (VE), a novel cryptographic primitive, which addresses the following scenario: a receiver controls, or vets, who can send them encrypted messages. We model this as a filter publicly checking ciphertext validity, where the overhead does not grow with the number of senders. The filter receives one public key for verification, and every user receives one personal encryption key. We present three versions: Anonymous, Identifiable, and Opaque VE (AVE, IVE and OVE), and concentrate on formal definitions, security notions and examples of instantiations based on preexisting primitives of the latter two. For IVE, the sender is identifiable both to the filter and the receiver, and we make the comparison with identity-based signcryption. For OVE, a sender is anonymous to the filter, but is identified to the receiver. OVE is comparable to group signatures with message recovery, with the important additional property of confidentiality of messages.

In this paper we examine the central question that is how well do side channel evaluation regimes capture the true security level of a product. Concretely, answering this question requires considering the optimality of the attack/evaluation strategy selected by the evaluator, and the various steps to instantiate it. We draw on a number of published works and discuss whether state-of-the-art solutions for the different steps of a side-channel security evaluation offer bounds or guarantees of optimality, or if they are inherently heuristic. We use this discussion to provide an informal rating of the steps' optimality and to put forward where risks of overstated security levels remain.

SodsMPC is a quantum-safe smart contract system. SodsMPC permissioned servers (verification nodes) execute contracts by secure multi-party computation (MPC) protocols. MPC ensures the contract execution correctness while trivially keeping the \textit{data privacy}. Moreover, SodsMPC accomplishes the contract \textit{business logic privacy} while protecting the contract user \textit{anonymous identity} simultaneously. We express the logic of a contract by a finite state machine (FSM). A state transition of the FSM is represented by a \textit{blind polynomial} with secret-shared coefficients. When using MPC to compute this blind polynomial, the contract business logic privacy is obtained. These coefficients which control the logic are binary secret shares. We also propose a base conversion method among binary and integer secret shares by MPC. Our contract anonymity comes from the ``mixing-then-contract'' paradigm. The online phase of the SodsMPC mixing is a multiplication between a preprocessed permutation matrix and an input vector in the form of secret sharing, which accomplishes a fully randomized shuffle of the inputs and keeps the secret share form for the following contract execution. All SodsMPC components, including a verifiable secret sharing scheme, are quantum-safe, asynchronous, coping with $t<n/3$ compromised servers, and robust (tolerates Byzantine servers) in both preprocessing and online phases.

Adaptor signatures (AS) are an extension of digital signatures that enable the encoding of a cryptographic hard problem (e.g., discrete logarithm) within the signature itself. An AS scheme ensures that (i) the signature can be created only by the user knowing the solution to the cryptographic problem; (ii) the signature reveals the solution itself; (iii) the signature can be verified with the standard verification algorithm. These properties have made AS a salient building block for many blockchain applications, in particular, off-chain payment systems such as payment-channel networks, payment-channel hubs, atomic swaps or discrete log contracts. Current AS constructions, however, are not secure against adversaries with access to a quantum computer. In this work, we present IAS, a construction for adaptor signatures that relies on standard cryptographic assumptions for isogenies, and builds upon the isogeny-based signature scheme CSI-FiSh. We formally prove the security of IAS against a quantum adversary. We have implemented IAS and our evaluation shows that IAS can be incorporated into current blockchains while requiring $\sim1500$ bytes of storage size on-chain and $\sim140$ milliseconds for digital signature verification. We also show how IAS can be seamlessly leveraged to build post-quantum off-chain payment applications without harming their security and privacy.

We provide a formal proof for the indifferentiability of SKINNY-HASH internal function from a random oracle. SKINNY-HASH is a family of function-based sponge hash functions, and it was selected as one of the second round candidates of the NIST lightweight cryptography competition. Its internal function is constructed from the tweakable block cipher SKINNY. The construction of the internal function is very simple and the designers claim $n$-bit security, where $n$ is the block length of SKINNY. However, a formal security proof of this claim is not given in the original specification of SKINNY-HASH. In this paper, we formally prove that the internal function of SKINNY-HASH has $n$-bit security, i.e., it is indifferentiable from a random oracle up to $O(2^n)$ queries, substantiating the security claim of the designers.

The contributions of this paper are twofold. First, we simplify the description of the Unbalanced Oil and Vinegar scheme (UOV) and its Rainbow variant, which makes it easier to understand the scheme and the existing attacks. We hope that this will make UOV and Rainbow more approachable for cryptanalysts. Secondly, we give two new attacks against the UOV and Rainbow signature schemes; the intersection attack that applies to both UOV and Rainbow and the rectangular MinRank attack that applies only to Rainbow. Our attacks are more powerful than existing attacks. In particular, we estimate that compared to previously known attacks, our new attacks reduce the cost of a key recovery by a factor of $2^{17}$, $2^{53}$, and $2^{73}$ for the parameter sets submitted to the second round of the NIST PQC standardization project targeting the security levels I, III, and V respectively. For the third round parameters, the cost is reduced by a factor of $2^{20}$, $2^{40}$, and $2^{55}$ respectively. This means all these parameter sets fall short of the security requirements set out by NIST.

Dynamic searchable symmetric encryption (SSE) supports updates and keyword searches in tandem on outsourced symmetrically encrypted data, while aiming to minimize the information revealed to the (untrusted) host server. The literature on dynamic SSE has identified two crucial security properties in this regard - forward and backward privacy. Forward privacy makes it hard for the server to correlate an update operation with previously executed search operations. Backward privacy limits the amount of information learnt by the server about documents that have already been deleted from the database. To date, work on forward and backward private SSE has focused mainly on single keyword search. However, for any SSE scheme to be truly practical, it should at least support conjunctive keyword search. In this setting, most prior SSE constructions with sub-linear search complexity do not support dynamic databases. The only exception is the scheme of Kamara and Moataz (EUROCRYPT'17); however it only achieves forward privacy. Achieving both forward and backward privacy, which is the most desirable security notion for any dynamic SSE scheme, has remained open in the setting of conjunctive keyword search. In this work, we develop the first forward and backward private SSE scheme for conjunctive keyword searches. Our proposed scheme, called Oblivious Dynamic Cross Tags (or ODXT in short) scales to very large arbitrarily-structured databases (including both attribute-value and free-text databases). ODXT provides a realistic trade-off between performance and security by efficiently supporting fast updates and conjunctive keyword searches over very large databases, while incurring only moderate access pattern leakages to the server that conform to existing notions of forward and backward privacy. We precisely define the leakage profile of ODXT, and present a detailed formal analysis of its security. We then demonstrate the practicality of ODXT by developing a prototype implementation and evaluating its performance on real world databases containing millions of documents.

We introduce a new primitive in information-theoretic cryptography, namely zero-communication reductions (ZCR), with different levels of security. We relate ZCR to several other important primitives, and obtain new results on upper and lower bounds. In particular, we obtain new upper bounds for PSM, CDS and OT complexity of functions, which are exponential in the information complexity of the functions. These upper bounds complement the results of Beimel et al. (2014) which broke the circuit-complexity barrier for ``high complexity'' functions; our results break the barrier of input size for ``low complexity'' functions. We also show that lower bounds on secure ZCR can be used to establish lower bounds for OT-complexity. We recover the known (linear) lower bounds on OT-complexity by Beimal and Malkin (2004) via this new route. We also formulate the lower bound problem for secure ZCR in purely linear-algebraic terms, by defining the invertible rank of a matrix. We present an Invertible Rank Conjecture, proving which will establish super-linear lower bounds for OT-complexity (and if accompanied by an explicit construction, will provide explicit functions with super-linear circuit lower bounds).

We report the homomorphic evaluation of the SM4 symmetric block-cipher based on BGV homomorphic encryption scheme. We implement bootstrapping and non-bootstrapping homomorphic evaluation of the 32-rounds SM4 based on HELib with about 128-bit security level. Our ways refer to and are similar as the AES homomorphic evaluation. The implementation uses packed ciphertexts and bytes in slots. The S-Box evaluation is similar as the AES evaluation method, and the Linear Transform layer uses the permutation of the bytes in states. Since the rounds are more than the AES and the SM4's feistel structer is different with the AES, the depths and levels of homomorphic evaluation of the SM4 are much more than AES, so need larger parameter(non-bootstrapping) and more bootstrapping. Our bootstrapping implementaion(3 ciphertexts, 360 blocks) runs about 1.5 hours on Macbook Pro(MacOS catalina 10.15, 16G), and the non-bootstrapping(1 ciphertext, 480 block) implementation runs about 6 hours on Macbook Pro(MacOS catalina 10.15, 16G).

Quantum copy protection uses the unclonability of quantum states to construct quantum software that provably cannot be pirated. Copy protection would be immensely useful, but unfortunately little is known about how to achieve it in general. In this work, we make progress on this goal, by giving the following results: –We show how to copy protect any program that cannot be learned from its input/output behavior, relative to a classical oracle. This improves on Aaronson [CCC’09], which achieves the same relative to a quantum oracle. By instantiating the oracle with post-quantum candidate obfuscation schemes, we obtain a heuristic construction of copy protection. –We show, roughly, that any program which can be watermarked can be copy detected, a weaker version of copy protection that does not prevent copying, but guarantees that any copying can be detected. Our scheme relies on the security of the assumed watermarking, plus the assumed existence of public key quantum money. Our construction is general, applicable to many recent watermarking schemes.

Abstract. In this paper, we present different implementations of point multiplication over Curve448. Curve448 has recently been recommended by NIST to provide 224-bit security over elliptic curve cryptography. Although implementing high-security cryptosystems should be considered due to recent improvements in cryptanalysis, hardware implementation of Curve488 has been investigated in a few studies. Hence, in this study, we propose three variable-base-point FPGA-based Curve448 implementations, i.e., lightweight, area-time efficient, and high-performance architectures, which aim to be used for different applications. Synthesized on a Xilinx Zynq 7020 FPGA, our proposed high-performance design increases 12% throughput with executing 1,219 point multiplication per second and increases 40% efficiency in terms of required clock cycles\timesutilized area compared to the best previous work. Furthermore, the proposed lightweight architecture works in 250 MHz and saves 96% of resources with the same performance. Additionally, our area-time efficient design considers a trade-off between time and required resources, which shows a 48% efficiency improvement with 52% fewer resources. Finally, effective side-channel countermeasures are added to our proposed designs, which also outperform previous works.

An extensive research of MPC protocols in different adversarial settings over the past few years has led to various improvements. Goyal et al.\cite{goyal2019communication} in their paper addressed the issue of an efficient MPC protocol in active adversarial setting by removing the dependency on multiplication depth $D_m$ in the arithmetic circuit. This development was followed by Hirt et al. in ITC 2020, which proposed an efficient MPC protocol tolerating mixed adversary with communication complexity of $O((c_i + c_m + c_o)n\kappa + c_iBA(\kappa) + D_m(n^3\kappa + nBA(\kappa)))$ bits, where $D_m$ is the multiplicative depth of the circuit and $\kappa$ is the size of an element in the field. Additionally, Hirt et al.\cite{hirt2020efficient}, proposed an open problem to construct a protocol for the mixed adversarial setting, independent of the multiplicative depth $D_m$, with linear communication complexity. In this paper, we resolve this problem in the affirmative by providing an efficient MPC protocol in the mixed adversarial setting independent of the multiplicative depth of the circuit.

Efficient computation of polynomial multiplication for characteristic three fields, $\mathbb{F}_{3^{n}}$ for $n\geq1$, is an important attribute for many cryptographic protocols. In this paper, we propose three new polynomial multiplication algorithms over $\mathbb{F}_{3}[x]$ and show that they are more efficient than the current state-of-the-art algorithms. We first examine through the well-known multiplication algorithms in $\mathbb{F}_{3}[x]$ including Karatsuba-2-way and 3-way split formulas along with the recent enhancements. Then, we propose a new 4-way split polynomial multiplication algorithm and an improved version of it which are both derived by using interpolation in $\mathbb{F}_{9}$. Moreover, we propose a 5-way split multiplication algorithm, and then compare the efficiencies of these algorithms altogether. We apply the proposed algorithms to the NTRU Prime protocol, a post-quantum key encapsulation mechanism (KEM), submitted to the NIST PQC Competition by Bernstein et al., performing polynomial multiplication in characteristic three fields in its decapsulation phase. We observe that the new hybrid algorithms provide a $12.9\%$ reduction in the arithmetic complexity. Furthermore, we implement these new hybrid methods on Intel (R) Core (TM) i7-9750H architecture using C and obtain a $37.3\%$ reduction in the implementation cycle count.

Homomorphic encryption (HE) is a promising cryptographic primitive that enables computation over encrypted data, with a variety of applications including medical, genomic, and financial tasks. In Asiacrypt 2017, Cheon et al. proposed the CKKS scheme to efficiently support approximate computation over encrypted data of real numbers. HE schemes including CKKS, nevertheless, still suffer from slow encryption speed and large ciphertext expansion compared to symmetric cryptography. In this paper, we propose a novel hybrid framework, dubbed RtF (Real-to-Finite-field) framework, that supports CKKS. The main idea behind this construction is to combine the CKKS and the FV homomorphic encryption schemes, and use a stream cipher using modular arithmetic in between. As a result, real numbers can be encrypted without significant ciphertext expansion or computational overload on the client side. As an instantiation of the stream cipher in our framework, we propose a new HE-friendly cipher, dubbed HERA, and extensively analyze its security and efficiency. The main feature of HERA is that it uses a simple randomized key schedule. Compared to recent HE-friendly ciphers such as FLIP and Rasta using randomized linear layers, HERA requires a smaller number of random bits. For this reason, HERA significantly outperforms existing HE-friendly ciphers on both the client and the server sides. With the RtF transciphering framework combined with HERA at the 128-bit security level, we achieve small ciphertext expansion ratio with a range of 1.23 to 1.54, which is at least 23 times smaller than using (symmetric) CKKS-only, assuming the same precision bits and the same level of ciphertexts at the end of the framework. We also achieve 1.6 $\mu$s and 21.7 MB/s for latency and throughput on the client side, which are 9085 times and 17.8 times faster than the CKKS-only environment, respectively.

The standard model security of the Fiat-Shamir transform has been an active research area for many years. In breakthrough results, Canetti et al. (STOC'19) and Peikert-Shiehian (Crypto'19) showed that, under the Learning-With-Errors (LWE) assumption, it provides soundness by applying correlation-intractable (CI) hash functions to so-called trapdoor $\Sigma$-protocols. In order to be compatible with CI hash functions based on standard LWE assumptions with polynomial approximation factors, all known such protocols have been obtained via parallel repetitions of a basic protocol with binary challenges. In this paper, we consider languages related to Paillier's composite residuosity assumption (DCR) for which we give the first trapdoor $\Sigma$-protocols providing soundness in one shot, via exponentially large challenge spaces. This improvement is analogous to the one enabled by Schnorr over the original Fiat-Shamir protocol in the random oracle model. Using the correlation-intractable hash function paradigm, we then obtain simulation-sound NIZK arguments showing that an element of $\mathbb{Z}_{N^2}^\ast$ is a composite residue, which opens the door to space-efficient applications in the standard model. As a concrete example, we build logarithmic-size ring signatures (assuming a common reference string) with the shortest signature length among schemes based on standard assumptions in the standard model. We prove security under the DCR and LWE assumptions, while keeping the signature size comparable with that of random-oracle-based schemes.

We propose an improvement for the inner product argument of Bootle et al. (EUROCRYPT’16). The new argument replaces the unstructured common reference string (the commitment key) by a structured one. We give two instantiations of this argument, for two different distributions of the CRS. In the designated verifier setting, this structure can be used to reduce verification from linear to logarithmic in the circuit size. The argument can be compiled to the publicly verifiable setting in asymmetric bilinear groups. The new common reference string can easily be updateable. The argument can be directly used to improve verification of Bulletproofs range proofs (IEEE SP’18). On the other hand, to use the improved argument to prove circuit satisfiability with logarithmic verification, we adapt recent techniques from Sonic (ACM CCS’19) to work with the new common reference string. The resulting argument is secure under standard assumptions (in the Random Oracle Model), in contrast with Sonic and recent works that improve its efficiency (Plonk, Marlin, AuroraLight), which, apart from the Random Oracle Model, need either the Algebraic Group Model or Knowledge Type assumptions.

Protecting the privacy of voters is a basic requirement of any electronic voting scheme, and formal definitions can be used to prove that a scheme satisfies privacy. In this work, we provide new game-based definitions of ballot secrecy for electronic voting schemes. First, we propose an intuitive definition in the honest model, i.e., a model in which all election officials are honest. Then, we show that this definition can be easily extended to the malicious ballot box setting and a setting that allows for a distributed tallier. In fact, to the best of our knowledge, we provide the first game-based definition of ballot secrecy that models both a malicious ballot box and a malicious subset of talliers. We demonstrate that our definitions of ballot secrecy are satisfiable, defining electronic voting scheme constructions which we prove satisfy our definitions. Finally, we revisit existing definitions, exploring their limitations and contextualising our contributions to the field.

The long term privacy of voting systems is of increasing concern as quantum computers come closer to reality. Everlasting privacy schemes offer the best way to manage these risks at present. While homomorphic tallying schemes with everlasting privacy are well developed, most national elections, using electronic voting, use mixnets. Currently the best candidate encryption scheme for making these kinds of elections everlastingly private is PPATC, but it has not been shown to work with any mixnet of comparable efficiency to the current ElGamal mixnets. In this work we give a paper proof, and a machine checked proof, that the variant of Wikstrom's mixnet commonly in use is safe for use with the PPATC encryption scheme.

In this work we introduce a novel four-party honest-majority MPC protocol with active security that achieves comparable efficiency to equivalent protocols in the same setting, while having a much simpler design and not relying on function-dependent preprocessing. Our initial protocol satisfies security with abort, but we present some extensions to achieve guaranteed output delivery. Unlike previous works, we do not achieve this by delegating the computation to one single party that is identified to be honest, which is likely to hinder the adoption of these technologies as it centralizes sensitive data. Instead, our novel approach guarantees termination of the protocol while ensuring that no single party (honest or corrupt) learns anything beyond the output. We implement our four-party protocol with abort in the MP-SPDZ framework for multiparty computation and benchmark multiple applications like MNIST classification training and ImageNet inference. Our results show that our four-party protocol performs similarly to an efficient honest-majority three-party protocol that only provides semi-honest/passive security, which suggest that adding a fourth party can be an effective method to achieve active security without harming performance.

In a threshold symmetric-key encryption (TSE) scheme, encryption/decryption is performed by interacting with any threshold number of parties who hold parts of the secret-keys. Security holds as long as the number of corrupt (possibly colluding) parties stay below the threshold. Recently, Agrawal et al. [CCS 2018] (alternatively called DiSE) initiated the study of TSE. They proposed a generic TSE construction based on any distributed pseudorandom function (DPRF). Instantiating with DPRF constructions by Naor, Pinkas and Reingold [Eurocrypt 1999] (also called NPR) they obtained several efficient TSE schemes with various merits. However, their security models and corresponding analyses consider only static (and malicious) corruption, in that the adversary fixes the set of corrupt parties in the beginning of the execution before acquiring any information (except the public parameters) and is not allowed to change that later. In this work we augment the DiSE TSE definitions to the fully adaptive (and malicious) setting, in that the adversary is allowed to corrupt parties dynamically at any time during the execution. The adversary may choose to corrupt a party depending on the information acquired thus far, as long as the total number of corrupt parties stays below the threshold. We also augment DiSE’s DPRF definitions to support adaptive corruption. We show that their generic TSE construction, when plugged-in with an adaptive DPRF (satisfying our definition), meets our adaptive TSE definitions. We provide an efficient instantiation of the adaptive DPRF, proven secure assuming decisional Diffie-Hellman assumption (DDH), in the random oracle model. Our construction borrows ideas from Naor, Pinkas and Reingold’s [Eurocrypt 1999] statically secure DDH-based DPRF (used in DiSE) and Libert, Joye and Yung’s [PODC 2014] adaptively secure threshold signature. Similar to DiSE, we also give an extension satisfying a strengthened adaptive DPRF definition, which in turn yields a stronger adaptive TSE scheme. For that, we construct a simple and efficient adaptive NIZK protocol for proving a specific commit-and-prove style statement in the random oracle model assuming DDH.

This paper initiates a new direction in the design and analysis of searchable symmetric encryption (SSE) schemes. We provide the first comprehensive security model and definition for SSE that takes into account leakage from the entirety of the SSE system, including not only from access to encrypted indices but also from access to the encrypted database documents themselves. Such system-wide leakage is intrinsic in end-to-end SSE systems, and can be used to break almost all state-of-the-art SSE schemes (Gui et al., IEEE S&P 2023). We then provide static and dynamic SSE constructions targeting our new notions. Our constructions involve a combination of novel techniques: bucketization to hide volumes of responses to queries; delayed, pseudorandom write-backs to disrupt access patterns; and indistinguishable search and update operations. The oblivious operations make it easy to establish strong versions of forward and backward security for our dynamic SSE scheme and rule out file-injection attacks. We implement our schemes and demonstrate that they offer very strong security against general classes of (system-wide) leakage-abuse attacks with moderate overhead. Our schemes scale smoothly to databases containing hundreds of thousand of documents and millions of keyword-document pairs. To the best of our knowledge, these are the first end-to-end SSE schemes that effectively suppress system-wide leakage while maintaining practical efficiency.

The Messaging Layer Security (MLS) protocol is an open standard for end-to-end (E2E) secure group messaging being developed by the IETF poised for deployment to consumers, industry, and government. It is designed to provide E2E privacy and authenticity for messages in long lived sessions whenever possible despite the participation (at times) of malicious insiders that can adaptively interact with the PKI at will, actively deviate from the protocol, leak honest parties' states, and fully control the network. The core of the MLS protocol (from which it inherits essentially all of its efficiency and security properties) is a Continuous Group Key Agreement (CGKA) protocol. It provides asynchronous E2E group management by allowing group members to agree on a fresh independent symmetric key after every change to the group's state (e.g. when someone joins/leaves the group). In this work, we make progress towards a precise understanding of the insider security of MLS (Draft 12). On the theory side, we overcome several subtleties to formulate the first notion of insider security for CGKA (or group messaging). Next, we isolate the core components of MLS to obtain a CGKA protocol we dub Insider Secure TreeKEM (ITK). Finally, we give a rigorous security proof for ITK. In particular, this work also initiates the study of insider secure CGKA and group messaging protocols. Along the way we give three new (very practical) attacks on MLS and corresponding fixes. (Those fixes have now been included into the standard.) We also describe a second attack against MLS-like CGKA protocols proven secure under all previously considered security notions (including those designed specifically to analyze MLS). These attacks highlight the pitfalls in simplifying security notions even in the name of tractability.

Constructing one-way functions from average-case hardness is a long-standing open problem. A positive result would exclude Pessiland (Impagliazzo ’95) and establish a highly desirable win-win situation: either (symmetric) cryptography exists unconditionally, or all NP problems can be solved efficiently on the average. Motivated by the lack of progress on this seemingly very hard question, we initiate the investigation of weaker yet meaningful candidate win-win results of the following type: either there are fine-grained one-way functions (FGOWF), or nontrivial speedups can be obtained for all NP problems on the average. FGOWFs only require a fixed polynomial gap (as opposed to superpolynomial) between the running time of the function and the running time of an inverter. We obtain three main results: Construction. We show that if there is an NP language having a very strong form of average-case hardness, which we call block finding hardness, then FGOWF exist. We provide heuristic support for this very strong average-case hardness notion by showing that it holds for a random language. Then, we study whether weaker (and more natural) forms of average-case hardness could already suffice to obtain FGOWF, and obtain two negative results: Separation I. We provide a strong oracle separation for the implication (\exists exponentially average-case hard language => FGOWF). Separation II. We provide a second strong negative result for an even weaker candidate win- win result. Namely, we rule out a black-box proof for the implication (\exists exponentially average-case hard language whose hardness amplifies optimally through parallel repetitions => FGOWF). This separation forms the core technical contribution of our work.

All academic methods to secure software implementations of block ciphers against adversaries with full control of the device have been broken. Despite the huge progress in the cryptanalysis of these white-box implementations, no recent progress has been made on the design side. Most of the white-box designs follow the CEJO framework, where each round is encoded by composing it with small random permutations. While several generic attacks have been proposed on the CEJO framework, no generic analysis has been performed on self-equivalence encodings, a different design where only the affine layer of each round is encoded with random self-equivalences of the S-box layer, that is, affine permutations commuting with the non-linear layer. In this work, we analyse the security of white-box implementations based on self-equivalence encodings for a broad class of SPN ciphers. First, we characterize the self-equivalence groups of S-box layers, and we prove that all the self-equivalences of a cryptographically strong S-box layer have a diagonal shape. Then, we propose the first generic attack on self-equivalence encodings. Our attack, based on affine equivalence problems, identifies the connection between the security of self-equivalence encodings and the self-equivalence structure of the cipher components. While we show that traditional SPN ciphers with cryptographically strong S-box layers cannot be secured with self-equivalence encodings, our analysis shows that self-equivalence encodings resist the generic attack if the cipher components satisfy several conditions, revealing the potential of self-equivalence encodings to secure other types of ciphers.

We show (almost) separation between certain important classes of Boolean functions. The technique that we use is to show that the total influence of functions in one class is less than the total influence of functions in the other class. In particular, we show (almost) separation of several classes of Boolean functions which have been studied in the coding theory and cryptography from classes which have been studied in combinatorics and complexity theory.

We present an honest-majority Distributed Key Generation protocol (DKG) based on Shamir's $(k,n)$-threshold secret sharing in the setting of Very Hard Homogenous Spaces (VHHS). DKG's in the DLOG setting use Pedersen commitments, for which there is no known analogue in the VHHS setting. As a replacement, we introduce a new primitive called piecewise verifiable proofs, which allow a prover to prove that a list of NP-statements is valid with respect to a common witness, and such that the different statements can be verified individually. Our protocol is robust and actively secure in the Quantum Random Oracle Model. For $n$ participants, the total runtime of our protocol is\break $2+\lambda+n(1+4\lambda)$ group action evaluations, where $\lambda$ is the underlying security parameter, and is thus independent of the threshold $k$. When instantiated with CSIDH-512, this amounts to approximately $4.5+18n$ seconds.

The threat of a cryptographically relevant quantum computer contributes to an increasing interest in the field of post-quantum cryptography (PQC). Compared to existing research efforts regarding the integration of PQC into the Transport Layer Security (TLS) protocol, industrial communication protocols have so far been neglected. Since industrial cyber-physical systems (CPS) are typically deployed for decades, protection against such long-term threats is needed. In this work, we propose two novel solutions for the integration of post-quantum (PQ) primitives (digital signatures and key establishment) into the industrial protocol Open Platform Communications Unified Architecture (OPC UA): a hybrid solution combining conventional cryptography with PQC and a solution solely based on PQC. Both approaches provide mutual authentication between client and server and are realized with certificates fully compliant to the X.509 standard. Moreover, we implement the two solutions and measure and evaluate their performance across three different security levels. All selected algorithms (Kyber, Dilithium, and Falcon) are candidates for standardization by the National Institute of Standards and Technology (NIST). We show that Falcon is a suitable option—especially—when using floating-point hardware provided by our ARM-based evaluation platform. Our proposed hybrid solution provides PQ security for early adopters but comes with additional performance and communication requirements. Our solution solely based on PQC shows superior performance across all evaluated security levels in terms of handshake duration compared to conventional OPC UA but comes at the cost of increased sizes for handshake messages.

Recent results on quantum cryptanalysis show that some symmetric key schemes can be broken in polynomial time even if they are proven to be secure in the classical setting. Liskov, Rivest, and Wagner showed that secure tweakable block ciphers can be constructed from secure block ciphers in the classical setting. However, Kaplan et al.~showed that their scheme can be broken by polynomial time quantum superposition attacks, even if underlying block ciphers are quantum-secure. Since then, it remains open if there exists a mode of block ciphers to build quantum-secure tweakable block ciphers. This paper settles the problem in the reduction-based provable security paradigm. We show the first design of quantum-secure tweakable block ciphers based on quantum-secure block ciphers, and present a provable security bound. Our construction is simple, and when instantiated with a quantum-secure $n$-bit block cipher, it is secure against attacks that query arbitrary quantum superpositions of plaintexts and tweaks up to $O(2^{n/6})$ quantum queries. Our security proofs use the compressed oracle technique introduced by Zhandry. More precisely, we use an alternative formalization of the technique introduced by Hosoyamada and Iwata.