International Association
for Cryptologic Research

In a zero-knowledge (ZK) proof of partial knowledge, introduced by Cramer, Damgard and Schoenmakers (CRYPTO 1994), a prover claiming knowledge of witnesses for some $k$-subset of $n$ given public statements can convince the verifier without revealing which $k$-subset. The accompanying dedicated solution based on secret sharing achieves linear communication complexity for general $k,n$ and for many natural classes of statements. Especially the case $k=1$ and $n=2$ (``one-out-of-two'') has seen myriad applications during the last decades, e.g., in electronic voting, ring signatures, and confidential transactions systems in general.

In this paper we focus on the discrete logarithms (DL) setting; the prover's claim pertains to knowledge of discrete logarithms of $k$-out-of-$n$ given elements from a group supporting DL-based cryptography. Groth and Kohlweiss (EUROCRYPT 2015) have shown how to solve the special case $k=1$ and general $n$ with logarithmic communication instead of linear. However, their method, which is original, takes explicit advantage of $k=1$ and does not generalize to $k>1$ without losing all advantage over prior work.

Our contributions are as follows. We show a solution with logarithmic communication for general $k,n$ instead of just $k=1$ and general $n$ from prior work. Applying the Fiat-Shamir transform renders a non-interactive logarithmic-size zero-knowledge proof. Our approach deploys a novel twist on a basic primitive from Compressed $\Sigma$-Protocol Theory (CRYPTO 2020) that we then utilize to compress a carefully chosen adaptation of the CRYPTO 1994 approach down to logarithmic size. Interestingly, even for $k=1$ and general $n$ our approach improves prior work as it reduces communication up to almost a factor $1/2$.

We also generalize this to proofs of partial knowledge about compact commitments of long vectors. Optionally, the prover may at the same time demonstrate his secret to satisfy some arbitrary given constraint. Finally, we also generalize from threshold to arbitrary access structures.

A continuous group key agreement (CGKA) protocol allows a long-lived group of parties to agree on a continuous stream of fresh secret key material. The protocol must support constantly changing group membership, make no assumptions about when, if, or for how long members come online, nor rely on any trusted group managers. Due to sessions' long life-time, CGKA protocols must simultaneously ensure both post-compromise security and forward secrecy (PCFS). That is, current key material should be secure despite both past and future compromises.

The work of Alwen et al. (CRYPTO'20), introduced the CGKA primitive and identified it as a crucial component for constructing end-to-end secure group messaging protocols (SGM) (though we believe there are certainly more applications given the fundamental nature of key agreement). The authors analyzed the TreeKEM CGKA, which lies at the heart of the SGM protocol under development by the IETF working group on Messaging Layer Security (MLS).

In this work, we continue the study of CGKA as a stand-alone cryptographic primitive. We present $3$ new security notions with increasingly powerful adversaries. Even the weakest of the 3 (passive security) already permits attacks to which all prior constructions (including all variants of TreeKEM) are vulnerable.

Going further, the 2 stronger (active security) notions additionally allow the adversary to use parties' exposed states (and full network control) to mount attacks. These are closely related to so-called insider attacks, which involve malicious group members actively deviating from the protocol. Insider attacks present a significant challenge in the study of CGKA (and SGM). Indeed, we believe ours to be the first security notions (and constructions) to formulate meaningful guarantees (e.g. PCFS) against such powerful adversaries. They are also the first composable security notions for CGKA of any type at all.

In terms of constructions, for each of the 3 security notions we provide a new CGKA scheme enjoying sub-linear (potentially even logarithmic) communication complexity in the number of group members. We prove each scheme optimally secure, in the sense that the only security violations possible are those necessarily implied by correctness.

Reverse engineering of integrated circuits, i.e., understanding the internals of ICs, is required for many benign and malicious applications. Examples of the former are detection of patent infringements, hardware Trojans or IP theft, as well as interface recovery and defect analysis, while malicious applications include IP theft and finding insertion points for hardware Trojans. However, regardless of the application, the reverse engineer initially starts with a large unstructured netlist, forming an incomprehensible sea of gates.

This work presents DANA, a generic, technology-agnostic, and fully automated dataflow analysis methodology for flattened gate-level netlists. By analyzing the flow of data between individual FFs, DANA recovers high-level registers. The key idea behind DANA is to combine independent metrics based on structural and control information with a powerful automated architecture. Notably, DANA works without any thresholds, scenario-dependent parameters, or other "magic" values that the user must choose. We evaluate DANA on nine modern hardware designs, ranging from cryptographic co-processors, over CPUs, to the OpenTitan, a state-of-the-art SOC, which is maintained by the lowRISC initiative with supporting industry partners like Google and Western Digital. Our results demonstrate almost perfect recovery of registers for all case studies, regardless whether they were synthesized as FPGA or ASIC netlists. Furthermore, we explore two applications for dataflow analysis: we show that the raw output of DANA often already allows to identify crucial components and high-level architecture features and also demonstrate its applicability for detecting simple hardware Trojans.

Hence, DANA can be applied universally as the first step when investigating unknown netlists and provides major guidance for human analysts by structuring and condensing the otherwise incomprehensible sea of gates. The implementation of DANA, synthesized netlists, and detailed results will be released as open source.

Hardware obfuscation is widely used in practice to counteract reverse engineering. In recent years, low-level obfuscation via camouflaged gates has been increasingly discussed in the scientific community and industry. In contrast to classical high-level obfuscation, such gates result in recovery of an erroneous netlist. This technology has so far been regarded as a purely defensive tool. We show that low-level obfuscation is in fact a double-edged sword that can also enable stealthy malicious functionalities.

In this work, we present Doppelganger, the first generic design-level obfuscation technique that is based on low-level camouflaging. Doppelganger obstructs central control modules of digital designs, e.g., FSMs or bus controllers, resulting in two different design functionalities: an apparent one that is recovered during reverse engineering and the actual one that is executed during operation. Notably, both functionalities are under the designer's control.

In two case studies, we apply Doppelganger to a universal cryptographic coprocessor. First, we show the defensive capabilities by presenting the reverse engineer with a different mode of operation than the one that is actually executed at an area overhead of less than 0.6%. Then, for the first time, we demonstrate the considerable threat potential through low-level obfuscation. We show how an invisible, remotely exploitable key-leakage Trojan can be injected into the same cryptographic coprocessor just through obfuscation at an area overhead of mere 0.01%.

Recently, Huang et al. proposed a concept of public key encryption with filtered equality test (PKE-FET) that allows a tester who has a warrant for the selected message set to check equality of messages in ciphertexts that belong to that set (Journal of Computer and System Sciences, 2017). They also presented an instantiation of the PKE-FET that was asserted to achieve the indistinguishability against adaptive chosen ciphertext attacks (IND-CCA2) in the standard model. In this note, we show that Huang et al.’s instantiation does not achieve the IND-CCA2 security by presenting a simple adaptive chosen ciphertext attack.

Privacy protection and scalability are significant issues with blockchain. We propose an anonymous probabilistic payment under the general functionality for solving them. We consider the situation that several payers pay several payees through a tumbler. We have mediated the tumbler of the payment channel hub between payers and payees. Unlinkability means that the link, which payer pays which payee via the tumbler, is broken. A cryptographic puzzle plays a role in controlling the intermediation and execution of transactions. Masking the puzzle enables the payer and the payee to unlink their payments. The overview of the proposed protocol is similar to TumbleBit (NDSS 2017). We confirm the protocol realizes the ideal functionalities discussed in TumbleBit. The functionality required for our proposal is the hashed time lock contract that various cryptocurrencies use. This request is general, not restricted to any particular cryptocurrency. Our proposal includes a probabilistic payment. In probabilistic payment, one pays an ordinary mount with a certain probability. One pays a small amount as an expected value. One can run fewer transactions than a deterministic payment. It contributes scalability. We introduce a novel fractional oblivious transfer for probabilistic payment. We call it the ring fractional oblivious transfer (RFOT). RFOT is based on the ring learning with errors (RLWE) encryption. Our trick is based on the fact that an element of the ring is indistinguishable from the circular shifted element. We confirm that RFOT holds the properties of fractional hiding and binding presented in the DAM scheme (Eurocrypt 2017).

In modern distributed systems, an adversary’s limitations when corrupting subsets of servers may not necessarily be based on threshold constraints, but rather based on other technical or organizational characteristics in the systems. For example, it can be based on the operating systems they run, the cost of corrupting insiders in a sub-organization, et cetera. This means that the corruption patterns (and thus protection guarantees) are not based on the adversary being limited by a threshold, but on the adversary being limited by other constraints, in particular by what is known as a General Adversary Structure (GAS). GAS settings may come up in situations like large enterprises, computing and networking infrastructure of Internet Service Providers, data centers and cloud infrastructure, IT infrastructure of government agencies, computerized military systems, and critical infrastructure. We consider efficient secure multiparty computation (MPC) under such dynamically-changing GAS settings. During these changes, one desires to protect against and during corruption profile change, which renders some (secret sharing-based) encoding schemes underlying the MPC protocol more efficient than others when operating with the (currently) considered GAS. One of our contributions is a set of novel protocols to efficiently and securely convert back and forth between different MPC schemes for GAS; this process is often called share conversion. Specifically, we consider two MPC schemes, one based on additive secret sharing and the other based on Monotone Span Programs (MSP). The ability to efficiently convert between the secret sharing representations of these MPC schemes enables us to construct the first communication-efficient structure-adaptive proactive MPC protocol for dynamic GAS settings. By structure-adaptive, we mean that the choice of the MPC protocol to execute in future rounds after the GAS is changed (as specified by an administrative entity) is chosen to ensure communication-efficiency (the typical bottleneck in MPC). Furthermore, since such secure collaborative computing may be long-lived, we consider the mobile adversary setting, often called the proactive security setting. As our second contribution, we construct communication-efficient MPC protocols that can adapt to the proactive security setting. Proactive security assumes that at each (well defined) period of time the adversary corrupts different parties and over time may visit the entire system and corrupt all parties, provided that in each period it controls groups obeying the GAS constraints. In our protocol, the shares can be refreshed, meaning that parties receive new shares reconstructing the same secret, and some parties who lost their shares because of the reboot/resetting can recover their shares. As our third contribution, we consider another aspect of global long-term computations, namely, that of the dynamic groups. It is worth pointing out that such a setting with dynamic groups and GAS was not dealt with in existing literature on (proactive) MPC. In dynamic group settings, parties can be added and eliminated from the computation, under different GAS restrictions. We extend our protocols to this additional dynamic group settings defined by different GAS.

Cryptography is one of the basic phenomena of security systems. However, some of the widely used public key cryptography algorithms can be broken by using quantum computers. Therefore, many post-quantum cryptography algorithms are proposed in recent years to handle this issue. NTRU is one of the most important of these quantum-safe algorithms. Besides the importance of cryptography algorithms, the architecture where they are implemented is also essential. In this study, we developed an NTRU public key cryptosystem application and designed several processors to compare them in many aspects. We address two dierent architectures in this work. The RISC-V is chosen as it is the most lately version of classical RISC architecture. As competitor to this, we preferred transport triggered architecture (TTA) which oers high level customization and scalability. Details of all dierent implementations and the test results obtained with them are shared and discussed.

In digital world cryptographic algorithms protect sensitive information from intruder during communication. True random number generation is used for Cryptography algorithms as key value encryption and decryption process. To develop unbreakable algorithms key as one important parameter for Cryptography .We proposed DNA based True random number generation.DNA is deoxyribonucleic acid chemical molecule present in all living cells. DNA molecule consists of 4 nucleotides A-adenine,T-Thymine,G-Guanine and CCytosine. DNA molecules have uniqueness properties like Each person in the world distinguish based on DNA sequences and genes. The proposed algorithm pass NIST SP 800-22 test suite for DNA based true random number generation with highest Entropy,FFT,Block Frequency and Linear Complexity.

Gimli is a family of cryptographic primitives (both a hash function and an AEAD scheme) that has been selected for the second round of the NIST competition for standardizing new lightweight designs. The candidate Gimli is based on the permutation Gimli, which was presented at CHES 2017. In this paper, we study the security of both the permutation and the constructions that are based on it. We exploit the slow diffusion in Gimli and its internal symmetries to build, for the first time, a distinguisher on the full permutation of complexity 2^64 . We also provide a practical distinguisher on 23 out of the full 24 rounds of Gimli that has been implemented.

Next, we give (full state) collision and semi-free-start collision attacks on Gimli-Hash, reaching respectively up to 12 and 18 rounds. On the practical side, we compute a collision on 8-round Gimli-Hash. In the quantum setting, these attacks reach 2 more rounds. Finally, we perform the first study of linear trails in the permutation, and we propose differential-linear cryptanalysis that reach up to 17 rounds of Gimli.

In the implementation of post-quantum primitives, it is well known that all computations that handle secret information need to be implemented to run in constant time. Using the Fujisaki-Okamoto transformation or any of its different variants, a CPA-secure primitive can be converted into an IND-CCA secure KEM. In this paper we show that although the transformation does not handle secret information apart from calls to the CPA-secure primitive, it has to be implemented in constant time. Namely, if the ciphertext comparison step in the transformation is leaking side-channel information, we can launch a key-recovery attack. Several proposed schemes in round 2 of the NIST post-quantum standardization project are susceptible to the proposed attack and we develop and show the details of the attack on one of them, being FrodoKEM. It is implemented on the reference implementation of FrodoKEM, which is claimed to be secure against all timing attacks. Experiments show that the attack code is able to extract the secret key for all security levels using about \(2^{30}\) decapsulation calls.

Side-channel analysis and fault-injection attacks are known as serious threats to cryptographic hardware implementations and the combined protection against both is currently an open line of research. A promising countermeasure with considerable implementation overhead appears to be a mix of first-order secure Threshold Implementations and linear Error-Correcting Codes.

In this paper we employ for the first time the inherent structure of non-systematic codes as fault countermeasure which dynamically mutates the applied generator matrices to achieve a higher-order side-channel and fault-protected design. As a case study, we apply our scheme to the PRESENT block cipher that do not show any higher-order side-channel leakage after measuring 150 million power traces.

Loyalty programs in the form of punch cards that can be redeemed for benefits have long been a ubiquitous element of the consumer landscape. However, their increasingly popular digital equivalents, while providing more convenience and better bookkeeping, pose a considerable risk to consumer privacy. This paper introduces a privacy-preserving punch card protocol that allows firms to digitize their loyalty programs without forcing customers to submit to corporate surveillance. We also present a number of extensions that allow our scheme to provide other privacy-preserving customer loyalty features.

Compared to the best prior work, we achieve a 14x reduction in the computation and a 25x reduction in communication required to perform a "hole punch," a 62x reduction in the communication required to redeem a punch card, and a 394x reduction in the computation time required to redeem a card. Much of our performance improvement can be attributed to removing the reliance on pairings present in prior work, which has only addressed this problem in the context of more general loyalty systems. By tailoring our scheme to punch cards and related loyalty systems, we demonstrate that we can reduce communication and computation costs by orders of magnitude.

Protocols for secure Multi-Party Computation (MPC) can be classified according to the underlying communication model. Two prominent communication models considered in the literature are the synchronous and asynchronous models, which considerably differ in terms of the achievable security guarantees. Synchronous MPC protocols can achieve the optimal corruption threshold $n/2$ and allow every party to give input, but become completely insecure when synchrony assumptions are violated. On the other hand, asynchronous MPC protocols remain secure under arbitrary network conditions, but can tolerate only $n/3$ corruptions and parties with slow connections unavoidably cannot give input.

A natural question is whether there exists a protocol for MPC that can tolerate up to $t_s < n/2$ corruptions under a synchronous network and $t_a < n/3$ corruptions even when the network is asynchronous. We answer this question by showing tight feasibility and impossibility results. More specifically, we show that such a protocol exists if and only if $t_a + 2t_s < n$ and the number of inputs taken into account under an asynchronous network is at most $n-t_s$.

Timed-release encryption (TRE) makes it possible to send information ``into the future'' such that a pre-determined amount of time needs to pass before the information can be decrypted, which has found numerous applications. The most prominent construction is based on sequential squaring in RSA groups, proposed by Rivest et al. in 1996. Malavolta and Thyagarajan (CRYPTO'19) recently proposed an interesting variant of TRE called homomorphic time-lock puzzles (HTLPs). Here one considers multiple puzzles which can be independently generated by different entities. One can homomorphically evaluate a circuit over these puzzles to obtain a new puzzle. Solving this new puzzle yields the output of a circuit evaluated on all solutions of the original puzzles. While this is an interesting concept and enables various new applications, for constructions under standard assumptions one has to rely on sequential squaring.

We observe that viewing HTLPs as homomorphic TRE gives rise to a simple generic construction that avoids the homomorphic evaluation on the puzzles and thus the restriction of relying on sequential squaring. It can be instantiated based on any TLP, such as those based on one-way functions and the LWE assumption (via randomized encodings), while providing essentially the same functionality for applications. Moreover, it overcomes the limitation of the approach of Malavolta and Thyagarajan that, despite the homomorphism, one puzzle needs to be solved per decrypted ciphertext. Hence, we obtain a ``solve one, get many for free'' property for an arbitrary amount of encrypted data, as we only need to solve a single puzzle independent of the number of ciphertexts. In addition, we introduce the notion of incremental TLPs as a particularly useful generalization of TLPs, which yields particularly practical (homomorphic) TRE schemes. Finally, we demonstrate various applications by firstly showcasing their cryptographic application to construct dual variants of timed-release functional encryption and also show that we can instantiate previous applications of HTLPs in a simpler and more efficient way.

In this article, we propose GIFT-COFB, an Authenticated Encryption with Associated Data (AEAD) scheme, based on the GIFT lightweight block cipher and the COFB lightweight AEAD operating mode. We explain how these two primitives can fit together and the various design adjustments possible for performance and security improvements. We show that our design provides excellent performances in all constrained scenarios, hardware or software, while being based on a provably-secure mode and a well analysed block cipher.

Today's most compact zero-knowledge arguments are based on the hardness of the discrete logarithm problem and related classical assumptions. If one is interested in quantum-safe solutions, then all of the known techniques stem from the PCP-based framework of Kilian (STOC 92) which can be instantiated based on the hardness of any collision-resistant hash function. Both approaches produce asymptotically logarithmic sized arguments but, by exploiting extra algebraic structure, the discrete logarithm arguments are a few orders of magnitude more compact in practice than the generic constructions.

In this work, we present the first (poly)-logarithmic, potentially post-quantum zero-knowledge arguments that deviate from the PCP approach. At the core of succinct zero-knowledge proofs are succinct commitment schemes (in which the commitment and the opening proof are sub-linear in the message size), and we propose two such constructions based on the hardness of the (Ring)-Short Integer Solution (Ring-SIS) problem, each having certain trade-offs. For commitments to $N$ secret values, the communication complexity of our first scheme is $\tilde{O}(N^{1/c})$ for any positive integer $c$, and $O(\log^2 N)$ for the second. Both of these are a significant theoretical improvement over the previously best lattice construction by Bootle et al. (CRYPTO 2018) which gave $O(\sqrt{N})$-sized proofs.

In the setting of continual-leakage (CL) --- Brakerski \emph{et al.}, Dodis \emph{et al.}, FOCS 2010 --- the secret key of a cryptographic scheme evolves according to time periods; the adversary gets some bounded leakage function of its choice applied to the current secret key in each time period. This model necessitates a \emph{randomized} key update procedure, as otherwise the adversary can leak a future secret key bit by bit over time. Unfortunately, this is a major source of difficulty, for example in handling leakage on updates. On the other hand, the above reason why a randomized key update procedure is required is arguably unsatisfying, since in practice a leakage function will not continually compute the update procedure and leak a future key in whole.

Our goal is to provide a general security model for continual leakage with deterministic key updates, and constructions that improve in various respects on prior work. In fact, as described below we incorporate forward security into our model as well. For our basic security model we take an \emph{entropy-based} approach, leading to a model we call \emph{entropic continual leakage} (ECL). In the ECL model, the adversary is allowed to make a limited total number of leakage queries that, as in CL, can depend arbitrarily on other keys (in particular, we do not completely bar the leakage function from ``computing the update procedure''), but an \emph{unlimited} total number of what we call ``local'' leakage queries. The latter does not decrease computational entropy of other keys. Hence, in some sense, the local leakage queries do not compute the key update procedure. Another major benefit of allowing deterministic key updates is that we can more readily incorporate forward security (FS) in our constructions, recently pointed out by Bellare \emph{et al.} (CANS 2017) to be an important security hedge in this context. This is because techniques for achieving FS often require deterministic updates. Accordingly, we also introduce the FS+ECL model (which is in fact incomparable to the CL model). We target this enhanced model for our constructions and provide constructions of public-key encryption (based on non-interactive key exchange) and digital signatures (based on identification schemes) that improve over the assumptions or leakage rates of the FS+CL schemes of Bellare \emph{et al.}. These results demonstrate the feasibility of improved constructions in our more realistic model. Finally, as a result of independent interest, we present a public-key encryption scheme in the FS+CL model (with randomized update) that improves on both the assumptions and leakage rates compared to the scheme of Bellare \emph{et al}.

We present a new short zero-knowledge argument for the range proof and the arithmetic circuits without a trusted setup. In particular, the proof size of our protocol is the shortest of the category of proof systems with a trustless setup. More concretely, when proving a committed value is a positive integer less than 64 bits, except for negligible error in the $128$-bit security parameter, the proof size is $576$ byte long, which is of $85.7\%$ size of the previous shortest one due to B\"unz et al.~(Bulletproofs, IEEE Security and Privacy 2018), while computational overheads in both proof generation and verification are comparable with those of Bulletproofs, respectively. Bulletproofs is established as one of important privacy enhancing technologies for distributed ledger, due to its trustless feature and short proof size. In particular, it has been implemented and optimized in various programming languages for practical usages by independent entities since it proposed. The essence of Bulletproofs is based on the logarithmic inner product argument with no zero-knowledge. In this paper, we revisit Bulletproofs from the viewpoint of the first sublinear zero-knowledge argument for linear algebra due to Groth~(CRYPTO 2009) and then propose Bulletproofs+, an improved variety of Bulletproofs. The main ingredient of our proposal is the zero-knowledge weighted inner product argument (zk-WIP) to which we reduce both the range proof and the arithmetic circuit proof. The benefit of reducing to the zk-WIP is a minimal transmission cost during the reduction process. Note the zk-WIP has all nice features of the inner product argument such as an aggregating range proof and batch verification.

We provide a simple and complete proof of the famous Pi&#8853;Pj Theorem in the particular case where &#958;max=2. This Theorem gives a lower bound for the number of solutions of simple linear systems of equations in the case where all the variables have to be pairwise distinct. Such systems often occur in cryptographic proofs of security, and this particular Theorem can be used to prove that the function x&#8614;P(0||x)&#8853;P(1||x) is an optimally secure pseudorandom function when P is a uniformly random permutation.