International Association
for Cryptologic Research

In this paper we concern anonymous identification, where the verifier can check that the user belongs to a given group of users (just like in case of ring signatures), however a transcript of a session executed between a user and a verifier is deniable. That is, neither the verifier nor the prover can convice a third party that a given user has been involved in a session but also he cannot prove that any user has been interacting with the verifier. Thereby one can achieve high standards for protecting personal data according to the General Data Protection Regulation – the fact that an interaction took place might be a sensitive data from information security perspective. We show a simple realization of this idea based on Schnorr identification scheme arranged like for ring signatures. We show that with minor modifications one can create a version immune to leakage of ephemeral keys. We extend the above scenario to the case of k out of n, where the prover must use at least k private keys corresponding to the set of n public keys. With the most probable setting of k = 2 or 3, we are talking about the practical case of multifactor authentication that might be necessary for applications with higher security level.

Motivated by the quest for scalable and succinct zero knowledge arguments, we revisit worst-case-to-average-case reductions for linear spaces, raised by [Rothblum, Vadhan, Wigderson, STOC 2013]. The previous state of the art by [Ben-Sasson, Kopparty, Saraf, CCC 2018] showed that if some member of an affine space $U$ is $\delta$-far in relative Hamming distance from a linear code $V$ — this is the worst-case assumption — then most elements of $U$ are almost-$\delta$-far from $V$ — this is the average case. However, this result was known to hold only below the “double Johnson” function of the relative distance $\delta_V$ of the code $V$ , i.e., only when $\delta < 1 - \sqrt[4]{1 - \delta_V}$. First, we increase the soundness-bound to the “one-and-a-half Johnson” function of $\delta_V$ and show that the average distance of $U$ from $V$ is nearly $\delta$ for any worst-case distance $\delta$ smaller than $1 - \sqrt[3]{1 - \delta_V}$. This bound is tight, which is somewhat surprising because the one-and-a-half Johnson function is unfamiliar in the literature on error correcting codes. To improve soundness further for Reed Solomon codes we sample outside the box. We suggest a new protocol in which the verifier samples a single point $z$ outside the box $D$ on which codewords are evaluated, and asks the prover for the value at $z$ of the interpolating polynomial of a random element of $U$. Intuitively, the answer provided by the prover “forces” it to choose one codeword from a list of “pretenders” that are close to $U$. We call this technique Domain Extending for Eliminating Pretenders (DEEP). The DEEP method improves the soundness of the worst-case-to-average-case reduction for RS codes up their list decoding radius. This radius is bounded from below by the Johnson bound, implying average distance is approximately $\delta$ for all $\delta < 1 - \sqrt{1 - \delta_V}$. Under a plausible conjecture about the list decoding radius of Reed-Solomon codes, average distance from $V$ is approximately $\delta$ for all $\delta$. The DEEP technique can be generalized to all linear codes, giving improved reductions for capacity-achieving list-decodable codes. Finally, we use the DEEP technique to devise two new protocols: • An Interactive Oracle Proof of Proximity (IOPP) for RS codes, called DEEP-FRI. This soundness of the protocol improves upon that of the FRI protocol of [Ben-Sasson et al., ICALP 2018] while retaining linear arithmetic proving complexity and logarithmic verifier arithmetic complexity. • An Interactive Oracle Proof (IOP) for the Algebraic Linking IOP (ALI) protocol used to construct zero knowledge scalable transparent arguments of knowledge (ZK-STARKs) in [Ben-Sasson et al., eprint 2018]. The new protocol, called DEEP-ALI, improves soundness of this crucial step from a small constant $< 1/8$ to a constant arbitrarily close to $1$.

Implementations of ARX ciphers are hoped to have some intrinsic side channel resilience owing to the specific choice of cipher components: modular addition (A), rotation (R) and exclusive-or (X). Previous work has contributed to this understanding by developing theory regarding the side channel resilience of components (pioneered by the early works of Prouff) as well as some more recent practical investigations by Biryukov et al. that focused on lightweight cipher constructions. We add to this work by specifically studying ARX-boxes both mathematically as well as practically. Our results show that previous works' reliance on the simplistic assumption that intermediates independently leak (their Hamming weight) has led to the incorrect conclusion that the modular addition is necessarily the best target and that ARX constructions are therefore harder to attack in practice: we show that on an ARM M0, the best practical target is the exclusive or and attacks succeed with only tens of traces.

Bit-decomposition is a powerful tool which can be used to design constant round protocols for bit-oriented multiparty computation (MPC) problems, such as comparison and Hamming weight computation. However, protocols that involve bit-decomposition are expensive in terms of performance. In this paper, we introduce a set of protocols for distributed exponentiation without bit-decomposition. We build upon the current state-of-the-art by Ning and Xu [ASIACRYPT 2010 & ASIACRYPT 2011], in terms of round and multiplicative complexity. We consider different cases where the inputs are either private or public and present privacy-preserving protocols for each case. Our protocols offer perfect security against passive and active adversaries and have constant multiplicative and round complexity, for any fixed number of parties. Furthermore, we showcase how these primitives can be used, for instance, to perform secure distributed decryption for some public key schemes, that are based on modular exponentiation.

There are several new efficient approaches to decrease the trust in the CRS creators in the case of non-interactive zero knowledge (NIZK) in the CRS model. Recently, Groth et al. (CRYPTO 2018) defined the notion of NIZK with updatable CRS (updatable NIZK) and described an updatable SNARK. We consider the same problem in the case of QA-NIZKs. While doing it, we define an important new property: we require that after updating the CRS, one should be able to update a previously generated argument to a new argument that is valid with the new CRS. We propose a general definitional framework for key-and-argument-updatable QA-NIZKs. After that, we describe a key-and-argument-updatable version of the most efficient known QA-NIZK for linear subspaces by Kiltz and Wee. Importantly, for obtaining soundness it suffices to update a universal public key that just consists of a matrix drawn from a KerMDH-hard distribution and thus can be shared by any pairing-based application that relies on the same hardness assumption. After specializing the universal public key to concrete language parameter, one can use the proposed key-and-argument updating algorithms to continue updating to strengthen the soundness guarantee.

To achieve security and privacy for data stored on the cloud, we need the ability to secure data in compute. Equality comparisons, ``$x=y, x\neq y$'', have been widely studied with many proposals but there is much room for improvement for order comparisons, ``$x < y,~x \leq y, x > y$ and $x \geq y$''. Most protocols for order comparisons have some limitation, either leaking some information about the data or requiring several rounds of communication between client and server. In addition, little work has been done on retrieving with compound conditions, mixing several equality and order comparisons. Fully homomorphic encryption (FHE) promises the ability to compute arbitrary functions on encrypted data without sacrificing privacy and without communication, but its potential has yet to be fulfilled. Particularly, private comparisons for database queries using FHE are expensive to compute.

In this work, we design efficient private database query (PDQ) protocols which support order comparisons and compound conditions. To this end, we first present a private comparison algorithm on encrypted integers using FHE, which scales efficiently for the length of input integers, by applying techniques from finite field theory. Then, we consider two scenarios for PDQ protocols, the first for retrieving data based on one order comparison and the second based on a conjunction of one order and four equality conditions. The proposed algorithm and protocols are implemented and tested to determine their performance in practice. The proposed comparison algorithm takes about 20.155 seconds to compare 697 pairs of 64-bit integers using Brakerski-Gentry-Vaikuntanathan's leveled FHE scheme with single instruction multiple data (SIMD) techniques at more than 110 bits of security. This yields an amortized rate of just 29 milliseconds per comparison. On top of that, we show that our techniques achieve an efficient PDQ protocol for one order and four equality comparisons, achieving an amortized time and communication cost of 36 milliseconds and 154 bytes per database element.

In this work, we present highly-optimized constant-time software libraries for Supersingular Isogeny Key Encapsulation (SIKE) protocol on ARMv8 processors. Our optimized hand-crafted assembly libraries provide the most efficient timing results on 64-bit ARM-powered devices. Moreover, the presented libraries can be integrated into any other cryptography primitives targeting the same finite field size. We design a new mixed implementation of field arithmetic on 64-bit ARM processors by exploiting the A64 and Advanced SIMD processing units working in parallel. Using these techniques, we are able to improve the performance of the entire protocol by the factor of 5 times compared to optimized C implementations on 64-bit ARM high-performance cores, providing 83-, 124-, and 159-bit quantum-security levels. Furthermore, we compare the performance of our proposed library with the previous highly-optimized ARMv8 assembly library available in the literature. The implementation results illustrate the overall 10% performance improvement in comparison with previous work, highlighting the benefit of using mixed implementation over relatively-large finite field size.

We present the first quantum-resistant $n$-party key agreement scheme based on supersingular elliptic curve isogenies. We show that the scheme is secure against quantum adversaries, by providing a security reduction to an intractable isogeny problem. We describe the communication and computational steps required for $n$ parties to establish a common shared secret key. Our scheme is the first non-generic quantum-resistant group key agreement protocol, and is more efficient than generic protocols, with near-optimal communication overhead. In addition, our scheme is contributory, which in some settings is a desirable security property: each party applies a function of their own private key to every further transmission. We implement the proposed protocol in portable C for the special case where three parties establish a shared secret. Moreover, we benchmark our software on two generations of Intel processors, highlighting the feasibility and efficiency of using the proposed scheme in practical settings. The proposed software computes the entire group key agreement in 994 and 1,374 millions of clock cycles on Intel Core i7-6500 Skylake and Core i7-2609 Sandy Bridge processors, respectively.

We construct a publicly verifiable protocol for proving computational work based on collision-resistant hash functions and a new plausible complexity assumption regarding the existence of "inherently sequential" hash functions. Our protocol is based on a novel construction of time-lock puzzles. Given a sampled "puzzle" $P \gets D_n$, where $n$ is the security parameter and $D_n$ is the distribution of the puzzles, a corresponding "solution" can be generated using $N$ evaluations of the sequential hash function, where $N>n$ is another parameter, while any feasible adversarial strategy for generating valid solutions must take at least as much time as $\Omega(N)$ *sequential* evaluations of the hash function after receiving $P$. Thus, valid solutions constitute a "proof" that $\Omega(N)$ parallel time elapsed since $P$ was received. Solutions can be publicly and efficiently verified in time $\poly(n) \cdot \polylog(N)$. Applications of these "time-lock puzzles" include noninteractive timestamping of documents (when the distribution over the possible documents corresponds to the puzzle distribution $D_n$) and universally verifiable CPU benchmarks.

Our construction is secure in the standard model under complexity assumptions (collision-resistant hash functions and inherently sequential hash functions), and makes black-box use of the underlying primitives. Consequently, the corresponding construction in the random oracle model is secure unconditionally. Moreover, as it is a public-coin protocol, it can be made non-interactive in the random oracle model using the Fiat-Shamir Heuristic.

Our construction makes a novel use of ``depth-robust'' directed acyclic graphs---ones whose depth remains large even after removing a constant fraction of vertices---which were previously studied for the purpose of complexity lower bounds. The construction bypasses a recent negative result of Mahmoody, Moran, and Vadhan (CRYPTO `11) for time-lock puzzles in the random oracle model, which showed that it is impossible to have time-lock puzzles like ours in the random oracle model if the puzzle generator also computes a solution together with the puzzle.

We show that every construction of one-time signature schemes from a random oracle achieves black-box security at most $2^{(1+o(1))q}$, where $q$ is the total number of oracle queries asked by the key generation, signing, and verification algorithms. That is, any such scheme can be broken with probability close to $1$ by a (computationally unbounded) adversary making $2^{(1+o(1))q}$ queries to the oracle. This is tight up to a constant factor in the number of queries, since a simple modification of Lamport's one-time signatures (Lamport'79) achieves $2^{(0.812-o(1))q}$ black-box security using $q$ queries to the oracle.

Our result extends (with a loss of a constant factor in the number of queries) also to the random permutation and ideal-cipher oracles. Since the symmetric primitives (e.g. block ciphers, hash functions, and message authentication codes) can be constructed by a constant number of queries to the mentioned oracles, as corollary we get lower bounds on the efficiency of signature schemes from symmetric primitives when the construction is black-box. This can be taken as evidence of an inherent efficiency gap between signature schemes and symmetric primitives.

Research area

The successful candidate will join the CryptoLUX group led by Prof. Alex Biryukov. Candidates with proven research track record in one or more of the following areas are particularly encouraged to apply:

• Design/analysis of lightweight crypto (with the goal to evaluate NIST competition submissions)
• Financial cryptography (cryptocurrencies, blockchain tech)
• Privacy enhancing technologies

Your Profile

A Ph.D. degree in Computer Science, Applied Mathematics or a related field; Competitive research record in applied cryptography or information security (at least one paper in top 10 IT security/crypto conferences; or several papers at ToSC(FSE), CHES, PETs or TCC); Strong mathematical and algorithmic CS background; Good skills in programming and scripting languages; Commitment, team working and a critical mind; Fluent written and verbal communication skills in English are mandatory.

The University offers a one years employment contract (with extension possibility). The University offers highly competitive salaries and is an equal opportunity employer. You will work in an exciting international environment of a large IT security-focused research center (SnT/CSC), developing technologies which will have direct impact on the future.

Applications, written in English, should be submitted by e-mail and should include:

• A brief cover letter explaining the candidate\'s motivation and research interests
• Curriculum Vitae (including photo, education/research/ work, publications, interests)
• Information on participation in competitions, Olympiads, CTFs is a plus
• Contact information of 2-3 references

Applications will be considered on receipt therefore applying before the deadline is encouraged.

Closing date for applications: 1 May 2019

Contact: Prof. Alex Biryukov

More information: https://www.cryptolux.org/index.php/Vacancies

Applications are invited from the Indian nationals for the position of Project Associate to work in the field of Hardware Security in the project entitled “Physical Unclonable Function (PUF) based Application Specific IC (ASIC) by Technology-Circuit-System Co-Development for Strategic Applications” funded by the office of Principal Scientific Advisor (PSA) to the Government of India.

Post: Project Associate (Number of Posts: 2)

Project Duration: 3 years (the positions as proposed are purely temporary and would be filled on Contract basis with consolidated salary under the project). The appointment will be made initially for a period of two years and extendable upto further one more year or the closing date of the project whichever is earlier.

Salary: Rs 40,000 to Rs 50,000 per month commensurate to relevant experience

Essential Qualifications: M.E/M.Tech in Electronics and Communication Engineering/ Computer Science and Engineering/ Applied Electronics/ Embedded Systems/ VLSI Design from a recognized university in First Class with 60% or above marks or equivalent.

Areas of Skill sets/ Knowledge required:

a) Knowledge in cryptology and strong background in digital system design, including project development experience in C, MATLAB, VHDL/Verilog programming. b) In-depth knowledge of front-end digital design process and related design flows (Xilinx FPGA /ASIC digital IC design). c) Candidates with prior industrial/research experience in the field of Hardware Security including Physical Unclonable Function (PUF) and Side Channel Attacks (SCA) are preferred.

Selection Procedure: Written Test and/or Interview

How to Apply?

1) Applications received via email will ONLY be considered. Candidate should write “Application for Project Associate Position” in the subject line of his/her E-mail. 2) The candidate is required to attach the Personal Particulars Form in pdf format duly filled and signed. 3) The email should be sent to hrpuf2019 (at) setsindia.net

Closing date for applications: 10 April 2019

Contact: N. Nalla Anandakumar, Scientist, SETS (Co-Principal Investigator)

More information: https://setsindia.in/careers

White-box cryptography was originally introduced in the setting of digital rights management with the goal of preventing a user from illegally re-distributing their software decryption program. In recent years, mobile payment has become a popular new application for white-box cryptography. Here, white-box cryptography is used to increase the robustness against external adversaries (i.e., not the user) who aim to misuse/attack the cryptographic functionalities of the payment application. A necessary requirement for secure white-box cryptography is that an adversary cannot extract the embedded secret key from the implementation. However, a white-box implementation needs to fulfill further security properties in order to provide useful protection of an application. In this paper we focus on the popular property incompressibility that is a mitigation technique against code-lifting attacks. We provide an incompressible white-box encryption scheme based on the standard-assumption of one-way permutations whereas previous works used either public-key type assumptions or non-standard symmetric-type assumptions.

The Lightning Network is a second layer technology running on top of Bitcoin and other Blockchains. It is composed of a peer-to-peer network, used to transfer raw information data. Some of the links in the peer-to-peer network are identified as payment channels, used to conduct payments between two Lightning Network clients (i.e., the two nodes of the channel). Payment channels are created with a fixed credit amount, the channel capacity. The channel capacity, together with the IP address of the nodes, is published to allow a routing algorithm to find an existing path between two nodes that do not have a direct payment channel. However, to preserve users' privacy, the precise balance of the pair of nodes of a given channel (i.e. the bandwidth of the channel in each direction), is kept secret. Since balances are not announced, second-layer nodes probe routes iteratively, until they find a successful route to the destination for the amount required, if any. This feature makes the routing discovery protocol less efficient but preserves the privacy of channel balances. In this paper, we present an attack to disclose the balance of a channel in the Lightning Network. Our attack is based on performing multiple payments ensuring that none of them is finalized, minimizing the economical cost of the attack. We present experimental results that validate our claims, and countermeasures to handle the attack.

A generalized Feistel cipher is one of the methods to construct block ciphers, and it has several variants. Dong, Li, and Wang showed quantum distinguishing attacks against the $(2d-1)$-round Type-1 generalized Feistel cipher with quantum chosen-plaintext attacks, where $d\ge 3$, and they also showed key recovery attacks [Dong, Li, Wang. Sci China Inf Sci, 2019, 62(2): 022501].

In this paper, we show a polynomial time quantum distinguishing attack against the $(3d-3)$-round version, i.e., we improve the number of rounds by $(d-2)$. We also show a quantum distinguishing attack against the $(d^2-d+1)$-round version in the quantum chosen-ciphertext setting. We apply these quantum distinguishing attacks to obtain key recovery attacks against Type-1 generalized Feistel ciphers.

The need for structured and trusted common parameters is often cited as one of the major drawbacks of pairing-based SNARKs. Although multiparty computation techniques can be used to address this, the resulting parameters are circuit dependent and this costly process must be repeated for every circuit. Recent proposals to switch to a weaker updatable model for parameter generation are not yet sufficiently efficient. We propose a new model for updatability which generates the common reference string in two phases, each of them updatable: in the first phase, parameters are generated for a set of universal quadratic constraints and in the second phase specific circuit dependent parameters which impose some affine constraints can be derived from them non-interactively. We propose a concrete construction based on (but more efficient than) Pinocchio.

An additional contribution of the paper is to obtain a very efficient argument for verifiable computation using the same design principles which is based on weaker assumptions. The communication is approximately 4d group elements and verifying a proof requires computing around 4d pairings and O(n+d) exponentiations, where n is the input size and d the circuit depth. While the argument for the quadratic constraints is based on standard falsifiable assumptions, the argument for the linear constraints is based on a very ad-hoc assumption about certain properties of arguments of membership in linear spaces.

A decision graph is a well-studied classifier and has been used to solve many real-world problems. We assumed a typical scenario between two parties in this study, in which one holds a decision graph and the other wants to know the class label of his/her query without disclosing the graph and query to the other. We propose a novel protocol for this scenario that can obliviously evaluate a graph that is designed by an efficient data structure called the graph level order unary degree sequence (GLOUDS). The time and communication complexities of this protocol are linear to the number of nodes in the graph and do not include any exponential factors. The experiment results revealed that the actual runtime and communication size were well concordant with theoretical complexities. Our method can process a graph with approximately 500 nodes in only 11 s on a standard laptop computer. We also compared the runtime of our method with that of previous methods and confirmed that it was one order of magnitude faster than the previous methods.

Traceable ring signatures are a variant of ring signatures which allows the identity of a user to be revealed, when it signs two different messages with respect to the same group of users. It has applications in e-voting and in cryptocurrencies, such as the well-known Monero. We propose the first traceable ring signature scheme whose security is based on the hardness of the Syndrome Decoding problem, a problem in coding theory which is conjectured to be unsolvable by both classical and quantum algorithms. To construct the scheme, we use a variant of Stern's protocol and, by applying the Fiat-Shamir transform to it in an ingenious way, we obtain a ring signature that allows traceability. We prove that the resulting protocol has the standard security properties for traceable ring signatures in the random oracle model: tag-linkability, anonymity and exculpability. As far as we know, this is the first proposal for a traceable ring signature scheme in the post-quantum setting.

We introduce the concept of computationally independent pair of one-way functions (CI-OWF). We also provide two rich classes of examples of such functions based on standard assumptions. We revisit two-party interactive protocols for proving possession of computational power and existing two-flow challenge-response protocols. We analyze existing protocols for proof of computation power and propose a new two-flow protocol using CI-OWF based on square Diffie-Hellman problem.

In this paper, we present a high-speed constant time hardware implementation of NTRUEncrypt Short Vector Encryption Scheme (SVES), fully compliant with the IEEE 1363.1 Standard Specification for Public Key Cryptographic Techniques Based on Hard Problems over Lattices. Our implementation follows an earlier proposed Post-Quantum Cryptography (PQC) Hardware Application Programming Interface (API), which facilitates its fair comparison with implementations of other PQC schemes. The paper contains the detailed flow and block diagrams, timing analysis, as well as results in terms of latency (in clock cycles), maximum clock frequency, and resource utilization in modern high-performance Field Programmable Gate Arrays (FPGAs). Our design takes full advantage of the ability to parallelize the major operation of NTRU, polynomial multiplication, in hardware. As a result, the execution time bottleneck shifts to the hash function, SHA-256, which is sequential in nature and as a result cannot be easily sped up in hardware. The obtained FPGA results for NTRU Encrypt SVES are compared with the equivalent results for Classic McEliece, a competing, well-established Post-Quantum Cryptography encryption scheme, with a long history of unsuccessful attempts at breaking. Our code for NTRUEncrypt SVES is being made open-source to speed-up further design-space exploration and benchmarking on multiple hardware platforms.