International Association
for Cryptologic Research

Theft from cryptocurrency exchanges due to cyberattacks or internal fraud is a major problem. Exchanges can partially alleviate customer concerns by providing periodic proofs of solvency. We describe MProve, a proof of assets protocol for Monero exchanges which can be combined with a known proof of liabilities protocol to provide a proof of solvency. MProve also provides a simple proof of non-collusion between exchanges.

Quantum homomorphic encryption (QHE) is an important cryptographic technology for delegated quantum computation. It enables remote Server performing quantum computation on encrypted quantum data, and the specific algorithm performed by Server is unnecessarily known by Client. Quantum fully homomorphic encryption (QFHE) is a QHE that satisfies both compactness and $\mathcal{F}$-homomorphism, which is homomorphic for any quantum circuits. However, Yu et al.[Phys. Rev. A 90, 050303(2014)] proved a negative result: assume interaction is not allowed, it is impossible to construct perfectly secure QFHE scheme. So this article focuses on non-interactive and perfectly secure QHE scheme with loosen requirement, specifically quasi-compactness.

This article defines encrypted gate, which is denoted by $EG[U]:|\alpha\rangle\rightarrow\left((a,b),Enc_{a,b}(U|\alpha\rangle)\right)$. We present a gate-teleportation-based two-party computation scheme for $EG[U]$, where one party gives arbitrary quantum state $|\alpha\rangle$ as input and obtains the encrypted $U$-computing result $Enc_{a,b}(U|\alpha\rangle)$, and the other party obtains the random bits $a,b$. Based on $EG[P^x](x\in\{0,1\})$, we propose a method to remove the $P$-error generated in the homomorphic evaluation of $T/T^\dagger$-gate. Using this method, we design two non-interactive and perfectly secure QHE schemes named \texttt{GT} and \texttt{VGT}. Both of them are $\mathcal{F}$-homomorphic and quasi-compact (the decryption complexity depends on the $T/T^\dagger$-gate complexity).

Assume $\mathcal{F}$-homomorphism, non-interaction and perfect security are necessary property, the quasi-compactness is proved to be bounded by $O(M)$, where $M$ is the total number of $T/T^\dagger$-gates in the evaluated circuit. \texttt{VGT} is proved to be optimal and has $M$-quasi-compactness. According to our QHE schemes, the decryption would be inefficient if the evaluated circuit contains exponential number of $T/T^\dagger$-gates. Thus our schemes are suitable for homomorphic evaluation of any quantum circuit with low $T/T^\dagger$-gate complexity, such as any polynomial-size quantum circuit or any quantum circuit with polynomial number of $T/T^\dagger$-gates.

In this paper, we revisit three existing types of orthogonal lattice (OL) attacks and propose optimized cases to solve approximate common divisor (ACD) problems. In order to reduce both space and time costs, we also make an improved lattice using the rounding technique. Further, we present asymptotic formulas of the time complexities on our optimizations as well as three known OL attacks. Besides, we give specific conditions that the optimized OL attacks can work and show how the attack ability depends on the blocksize $\beta$ in the BKZ-$\beta$ algorithm. Therefore, we put forward a method to estimate the concrete cost of solving the random ACD instances. It can be used in the choice of practical parameters in ACD problems. Finally, we give the security estimates of some ACD-based FHE constructions from the literature and also analyze the implicit factorization problem with sufficient number of samples. In the above situations, our optimized OL attack using the rounding technique performs fastest in practice.

Quasi-cyclic moderate density parity check codes allow the design of McEliece-like public-key encryption schemes with compact keys and a security that provably reduces to hard decoding problems for quasi-cyclic codes.

In particular, QC-MDPC are among the most promising code-based key encapsulation mechanisms (KEM) that are proposed to the NIST call for standardization of quantum safe cryptography (two proposals, BIKE and QC-MDPC KEM).

The first generation of decoding algorithms suffers from a small, but not negligible, decoding failure rate (DFR in the order of $10^{-7}$ to $10^{-10}$). This allows a key recovery attack presented by Guo, Johansson, and Stankovski (GJS attack) at Asiacrypt 2016 which exploits a small correlation between the faulty message patterns and the secret key of the scheme, and limits the usage of the scheme to KEMs using ephemeral public keys. It does not impact the interactive establishment of secure communications (e.g. TLS), but the use of static public keys for asynchronous applications (e.g. email) is rendered dangerous.

Understanding and improving the decoding of QCMDPC is thus of interest for cryptographic applications. In particular, finding parameters for which the failure rate is provably negligible (typically as low as $2^{-64}$ or $2^{-128}$) would allow static keys and increase the applicability of the mentioned cryptosystems.

We study here a simple variant of bit-flipping decoding, which we call step-by-step decoding. It has a higher DFR but its evolution can be modelled by a Markov chain, within the theoretical framework of Julia Chaulet's PhD thesis. We study two other, more efficient, decoders. One is the textbook algorithm. The other is (close to) the BIKE decoder. For all those algorithms we provide simulation results, and, assuming an evolution similar to the step-by-step decoder, we extrapolate the value of the DFR as a function of the block length. This will give an indication of how much the code parameters must be increased to ensure resistance to the GJS attack.

We propose a secure computation solution for blockchain networks. The correctness of computation is verifiable even under malicious majority condition using information-theoretic Message Authentication Code (MAC), and the privacy is preserved using Secret-Sharing. With state-of-the-art multiparty computation protocol and a layer2 solution, our privacy-preserving computation guarantees data security on blockchain, cryptographically, while reducing the heavy-lifting computation job to a few nodes. This breakthrough has several implications on the future of decentralized networks. First, secure computation can be used to support Private Smart Contracts, where consensus is reached without exposing the information in the public contract. Second, it enables data to be shared and used in trustless network, without disclosing the raw data during data-at-use, where data ownership and data usage is safely separated. Last but not least, computation and verification processes are separated, which can be perceived as computational sharding, this effectively makes the transaction processing speed linear to the number of participating nodes. Our objective is to deploy our secure computation network as an layer2 solution to any blockchain system. Smart Contracts\cite{smartcontract} will be used as bridge to link the blockchain and computation networks. Additionally, they will be used as verifier to ensure that outsourced computation is completed correctly. In order to achieve this, we first develop a general MPC network with advanced features, such as: 1) Secure Computation, 2) Off-chain Computation, 3) Verifiable Computation, and 4)Support dApps' needs like privacy-preserving data exchange.

In 2012, Lyubashevsky introduced a new framework for building lattice-based signature schemes without resorting to any trapdoor (such as GPV [6] or NTRU [8]). The idea is to sample a set of short lattice elements and construct the public key as a Short Integer Solution (SIS for short) instance. Signatures are obtained using a small subset sum of the secret key, hidden by a (large) gaussian mask. (Information leakage is dealt with using rejection sampling.) In this paper, we show that this framework cannot be adapted to coding theory. In particular, we show that any code-based signature obtained through a direct translation from the lattice setting is doomed to fail, due to an inherent difference between bounds in Hamming and Euclidean metrics. The attack consists in rewriting a signature as a noisy syndrome decoding problem, which can be handled efficiently using the extended bit flipping decoding algorithm.We illustrate our results by breaking Persichetti’s one-time signature scheme built upon this approach [13]: using a single signature, we recover the secret (signing) key in about the same amount of time as required for a couple of signature verifications.

Event date: 27 June to 28 June 2019
Submission deadline: 20 February 2019
Notification: 20 March 2019

Event date: 5 June to 7 June 2019
Submission deadline: 30 March 2019
Notification: 30 April 2019

We have a number of positions in the area of secure computation based on multi-party computation (MPC) and Homomorphic Encryption. The positions are funded by three projects; an FWO grant under the Odysseus programme, a DARPA grant under the RACE programme and an IARPA grant under the Hector programme.

The goal of the research is to develop new methods for efficient MPC, methods to apply MPC to large numbers of parties, methods to build automated tools to support development of applications based on MPC and FHE, as well as innovative new MPC solutions which solve real world problems.

We are looking for applicants who can work on practice inspired theoretical work in MPC, applicants who can work on implementation research in MPC and FHE, applicants with previous experience in programming language research, as well as applicants working in theoretical aspects of the MPC and FHE.

Strong background in mathematics/computer science and/or cryptography.

PhD applicants we would prefer to have experience in C or C++.

For PostDoc researchers experience in theoretical or practical aspects of secure computation is a must.

Please apply as soon as possible (we will not wait until the closing date to make decisions, but will make them as applications come in).

Closing date for applications: 31 May 2019

Contact: Nigel Smart (nigel.smart (at) kuleuven.be)

More information: https://www.esat.kuleuven.be/cosic/wp-content/uploads/2018/12/PhD-PostDoc-positions-in-secure-computation.pdf

Secure cloud storage is considered one of the most important issues that both businesses and end-users are considering before moving their private data to the cloud. Lately, we have seen some interesting approaches that are based either on the promising concept of Symmetric Searchable Encryption (SSE) or on the well-studied field of Attribute-Based Encryption (ABE). In the first case, researchers are trying to design protocols where users' data will be protected from both \textit{internal} and \textit{external} attacks without paying the necessary attention to the problem of user revocation. On the other hand, in the second case existing approaches address the problem of revocation. However, the overall efficiency of these systems is compromised since the proposed protocols are solely based on ABE schemes and the size of the produced ciphertexts and the time required to decrypt grows with the complexity of the access formula. In this paper, we propose a protocol that combines \textit{both} SSE and ABE in a way that the main advantages of each scheme are used. The proposed protocol allows users to directly search over encrypted data by using an SSE scheme while the corresponding symmetric key that is needed for the decryption is protected via a Ciphertext-Policy Attribute-Based Encryption scheme.

In this paper we revisit some of the main aspects of the DAGS Key Encapsulation Mechanism, one of the code-based candidates to NIST's standardization call for the key exchange/encryption functionalities. In particular, we modify the algorithms for key generation, encapsulation and decapsulation to fit an alternative KEM framework, and we present a new set of parameters that use binary codes. We discuss advantages and disadvantages for each of the variants proposed.

As surveillance systems are popular, the privacy of the recorded video becomes more important. On the other hand, the authenticity of video images should be guaranteed when used as evidence in court. It is challenging to satisfy both (personal) privacy and authenticity of a video simultaneously, since the privacy requires modifications (e.g., partial deletions) of an original video image while the authenticity does not allow any modifications of the original image. This paper proposes a novel method to convert an encryption scheme to support partial decryption with a constant number of keys and construct a privacy-aware authentication scheme by combining with a signature scheme. The security of our proposed scheme is implied by the security of the underlying encryption and signature schemes. Experimental results show that the proposed scheme can handle the UHD video stream with more than 17 fps on a real embedded system, which validates the practicality of the proposed scheme.

Algorithm substitution attack (ASA) on signatures should be treated seriously as the authentication services of numerous systems and applications rely on signature schemes and compromising them has a significant impact on the security of users. We present a somewhat alarming result in this regard: a highly efficient ASA on the Digital Signature Algorithm (DSA) and its implementation. Compared with the generic ASAs on signature schemes proposed in the literature, our attack provides fast and undetectable subversion, which will extract the user's private signing key by collecting maximum three signatures arbitrarily. Moreover, our ASA is proven to be robust against state reset. We implemented the proposed ASA by replacing the original DSA in Libgcrypt (a popular cryptographic library used in many applications) with our subverted DSA. Experiment shows that the user's private key can readily be recovered once the subverted DSA is used to sign messages. In our implementation, various measures have been considered to significantly reduce the possibility of detection through comparing the running time of the original DSA and the subverted one (i.e. timing analysis). To our knowledge, this is the first implementation of ASA in practice, which shows that ASA is a real threat rather than only a theoretical speculation.

A repair of the Faure-Loidreau (FL) public-key code-based cryptosystem is proposed.The FL cryptosystem is based on the hardness of list decoding Gabidulin codes which are special rank-metric codes. We prove that the recent structural attack on the system by Gaborit et al. is equivalent to decoding an interleaved Gabidulin code. Since all known polynomial-time decoders for these codes fail for a large constructive class of error patterns, we are able to construct public keys that resist the attack. It is also shown that all other known attacks fail for our repair and parameter choices. Compared to other code-based cryptosystems, we obtain significantly smaller key sizes for the same security level.

In this short note we give a polynomial-time quantum reduction from the vectorization problem (DLP) to the parallelization problem (CDHP) for group actions. Combined with the trivial reduction from parallelization to vectorization, we thus prove the quantum equivalence of both problems.

The recently proposed CSIDH primitive is a promising candidate for post quantum static-static key exchanges with very small keys. However, until now there is only a variable-time proof-of-concept implementation by Castryck, Lange, Martindale, Panny, and Renes, recently optimized by Meyer and Reith, that can leak various information about the private key. Therefore, we present a constant-time implementation that samples key elements only from intervals of nonnegative numbers and uses dummy isogenies, which prevents certain kinds of side-channel attacks. We apply several optimizations, e.g. SIMBA and Elligator, in order to get a more efficient implementation.

We present an approach and a tool to answer the need for effective, generic and easily applicable protections against side-channel attacks. The protection mechanism is based on code polymorphism, so that the observable behaviour of the protected component is variable and unpredictable to the attacker. Our approach combines lightweight specialized runtime code generation with the optimization capabilities of static compilation. It is extensively configurable. Experimental results show that programs secured by our approach present strong security levels and meet the performance requirements of constrained systems.

Past few years have seen the emergence of Machine Learning and Deep Learning algorithms as promising tools for profiling attacks, especially Convolutional Neural Networks (CNN). The latters have indeed been shown to overcome countermeasures such as de-synchronization or masking. However, CNNs are not widely used yet and Gaussian Templates are usually preferred. Though their efficiency is highly impacted by the countermeasures previously mentioned, their relevance relies on theoretical and physical justifications fairly recognized among the Side Channel community. Instead, the efficiency of CNNs still raises a certain scepticism as they act as a black-box tool. This scepticism is not specific to the Side Channel Analysis context: understanding to what extent CNNs would be so powerful and how they learn to recognize discriminative features for classification problems is still an open problem. Some methods have been proposed by the computer vision community, without satisfying performance in this field. However, methods based on Sensitivity Analysis particularly fit our problem. We propose to apply one of them called Gradient Visualization that uses the derivatives of a CNN model with respect to an input trace in order to accurately identify temporal moments where sensitive information leaks. In this paper, we theoretically show that this method may be used to efficiently localize Points of Interest in the SCA context. The efficiency of the proposed method does not depend on the particular countermeasure that may be applied to the measured traces as long as the profiled CNN can still learn in presence of such difficulties. In addition, the characterization can be made for each trace individually. We verified the soundness of our proposed method on simulated data and on experimental traces from a public Side Channel database. Eventually we empirically show that Sensitivity Analysis is at least as well as state-of-the-art characterization methods, in presence (or not) of countermeasures.

Cryptographic implementations on embedded systems need to be protected against physical attacks. Today, this means that apart from incorporating countermeasures against side-channel analysis, implementations must also withstand fault attacks and combined attacks. Recent proposals in this area have shown that there is a big tradeoff between the implementation cost and the strength of the adversary model. In this work, we introduce a new combined countermeasure M&M that combines Masking with information-theoretic MAC tags and infective computation. It works in a stronger adversary model than the existing scheme ParTI, yet is a lot less costly to implement than the provably secure MPC-based scheme CAPA. We demonstrate M&M with a SCA- and DFA-secure implementation of the AES block cipher. We evaluate the side-channel leakage of the second-order secure design with a non-specific t-test and use simulation to validate the fault resistance.

A set $S \subseteq \mathbb{F}_2^n$ is called degree-$d$ zero-sum if the sum $\sum_{s \in S} f(s)$ vanishes for all $n$-bit Boolean functions of algebraic degree at most $d$. Those sets correspond to the supports of the $n$-bit Boolean functions of degree at most $n-d-1$. We prove some results on the existence of degree-$d$ zero-sum sets of full rank, i.e., those that contain $n$ linearly independent elements, and show relations to degree-1 annihilator spaces of Boolean functions and semi-orthogonal matrices. We are particularly interested in the smallest of such sets and prove bounds on the minimum number of elements in a degree-$d$ zero-sum set of rank $n$.

The motivation for studying those objects comes from the fact that degree-$d$ zero-sum sets of full rank can be used to build linear mappings that preserve special kinds of \emph{nonlinear invariants}, similar to those obtained from orthogonal matrices and exploited by Todo, Leander and Sasaki for breaking the block ciphers Midori, Scream and iScream.