International Association for Cryptologic Research

International Association
for Cryptologic Research

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06 March 2023

Yangru Zheng, Juntao Gao, Baocang Wang
ePrint Report ePrint Report
It has been a long-standing viewpoint that doubling the length of key seeds in symmetric cipher can resist the quantum search attacks. This paper establishes a quantum key search model to deal with the post-quantum security of symmetric ciphers. The quantum search is performed in the punctured keystream/ciphertext space instead of the key space. On inputting the punctured keystreams/ciphertexts, we rule out the fake keys and find out the real key via the iterative use of the quantum singular value search algorithm. We find out several parameters, such as the length and min-entropy of the punctured keystream, the iterations, and the error in the search algorithm, and all of them can influence the resulting complexity. When these parameters are chosen properly, a better complexity can be obtained than Grover algorithm. Our search model can apply to any typical symmetric cipher. To demonstrate the power, we apply our model to analyze block cipher AES family, stream ciphers Grain-128 and ZUC-128. The resulting complexity of AES-128 is $\tilde{\mathcal O}(2^{30.8})$, $\tilde{\mathcal O}(2^{32.0})$ of AES-192, $\tilde{\mathcal O}(2^{32.7})$ of AES-256, $\tilde{\mathcal O}(2^{27.5})$ of Grain-128, and $\tilde{\mathcal O}(2^{39.8})$ of ZUC-128.

Our results show that increasing the length of key seeds is not an effective way anymore to resist the quantum search attacks, and it is necessary to propose new measures to ensure the post-quantum security of symmetric ciphers.
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Jean Liénardy, Frédéric Lafitte
ePrint Report ePrint Report
OCB3 is a mature and provably secure authenticated encryption mode of operation which allows for associated data (AEAD). This note reports a small flaw in the security proof of OCB3 that may cause a loss of security in practice, even if OCB3 is correctly implemented in a trustworthy and nonce-respecting module. The flaw is present when OCB3 is used with short nonces. It has security implications that are worse than nonce-repetition as confidentiality and authenticity are lost until the key is changed. The flaw is due to an implicit condition in the security proof and to the way OCB3 processes nonce. Different ways to fix the mode are presented.
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Prabhanjan Ananth, Alexander Poremba, Vinod Vaikuntanathan
ePrint Report ePrint Report
Quantum cryptography leverages many unique features of quantum information in order to construct cryptographic primitives that are oftentimes impossible classically. In this work, we build on the no-cloning principle of quantum mechanics and design cryptographic schemes with key-revocation capabilities. We consider schemes where secret keys are represented as quantum states with the guarantee that, once the secret key is successfully revoked from a user, they no longer have the ability to perform the same functionality as before.

We define and construct several fundamental cryptographic primitives with key-revocation capabilities, namely pseudorandom functions, secret-key and public-key encryption, and even fully homomorphic encryption, assuming the quantum subexponential hardness of the learning with errors problem. Central to all our constructions is our approach for making the Dual-Regev encryption scheme (Gentry, Peikert and Vaikuntanathan, STOC 2008) revocable.
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05 March 2023

Michael Rosenberg
ePrint Report ePrint Report
In a recent work, Cremers, Naor, Paz, and Ronen (CRYPTO '22) point out the problem of catastrophic impersonation in balanced password authenticated key exchange protocols (PAKEs). Namely, in a balanced PAKE, when a single party is compromised, the attacker learns the password and can subsequently impersonate anyone to anyone using the same password. The authors of the work present two solutions to this issue: CHIP, an identity-binding PAKE (iPAKE), and CRISP, a strong identity-binding PAKE (siPAKE). These constructions prevent the impersonation attack by generating a secret key on setup that is inextricably tied to the party's identity, and then deleting the password. Thus, upon compromise, all an attacker can immediately do is impersonate the victim. The strong variant goes further, preventing attackers from performing any precomputation before the compromise occurs.

In this work we present LATKE, an iPAKE from lattice assumptions in the random oracle model. In order to achieve security and correctness, we must make changes to CHIP's primitives, security models, and protocol structure.
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Lorenzo Grassi, Dmitry Khovratovich, Markus Schofnegger
ePrint Report ePrint Report
Zero-knowledge proof systems for computational integrity have seen a rise in popularity in the last couple of years. One of the results of this development is the ongoing effort in designing so-called arithmetization-friendly hash functions in order to make these proofs more efficient. One of these new hash functions, Poseidon, is extensively used in this context, also thanks to being one of the first constructions tailored towards this use case. Many of the design principles of Poseidon have proven to be efficient and were later used in other primitives, yet parts of the construction have shown to be expensive in real-word scenarios.

In this paper, we propose an optimized version of Poseidon, called Poseidon2. The two versions differ in two crucial points. First, Poseidon is a sponge hash function, while Poseidon2 can be either a sponge or a compression function depending on the use case. Secondly, Poseidon2 is instantiated by new and more efficient linear layers with respect to Poseidon. These changes allow to decrease the number of multiplications in the linear layer by up to 90% and the number of constraints in Plonk circuits by up to 70%. This makes Poseidon2 the currently fastest arithmetization-oriented hash function without lookups.

Besides that, we address a recently proposed algebraic attack and propose a simple modification that makes both Poseidon and Poseidon2 secure against this approach.
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R Radheshwar, Meenakshi Kansal, Pierrick Méaux, Dibyendu Roy
ePrint Report ePrint Report
In this paper we propose Differential Fault Attack (DFA) on two Fully Homomorphic Encryption (FHE) friendly stream ciphers Rasta and $\text {FiLIP} _ {\text {DSM}} $. Design criteria of Rasta rely on affine layers and nonlinear layers, whereas $\text {FiLIP} _ {\text {DSM}} $ relies on permutations and a nonlinear fil- ter function. Here we show that the secret key of these two ciphers can be recovered by injecting only 1 bit fault in the initial state. Our DFA on full round (# rounds = 6) Rasta with 219 block size requires only one block (i.e., 219 bits) of normal and faulty keystream bits. In the case of our DFA on FiLIP-430 (one instance of $\text {FiLIP} _ {\text {DSM}} $), we need 30000 normal and faulty keystream bits.
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Cas Cremers, Julian Loss, Benedikt Wagner
ePrint Report ePrint Report
Monero is a popular cryptocurrency with strong privacy guarantees for users' transactions. At the heart of Monero's privacy claims lies a complex transaction system called RingCT, which combines several building blocks such as linkable ring signatures, homomorphic commitments, and range proofs, in a unique fashion. In this work, we provide the first rigorous security analysis for RingCT (as given in Zero to Monero, v2.0.0, 2020) in its entirety. This is in contrast to prior works that provided security arguments for only parts of RingCT.

To this end, we provide the first holistic security model for Monero's RingCT. In our model, we then prove the security of RingCT. Our framework is modular in that it allows to view RingCT as a combination of various different sub-protocols. This has the benefit that these components can be easily updated in future versions of RingCT with only minor modifications to our analysis. At a technical level, we introduce several new techniques that we believe to be of independent interest. First, we need to make several subtle modifications to the syntax and security properties of existing building blocks (e.g., linkable ring signatures), which result from the unusual way in which they are combined within RingCT. Then, we show how these building blocks can be combined in order to argue security of the top level transaction scheme. As a technical highlight of our proof, we show that our security goals can be mapped to a suitable graph problem. This allows us to take advantage of ideas from the theory of network flows in our analysis.
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Fabrice Benhamouda, Mariana Raykova, Karn Seth
ePrint Report ePrint Report
We introduce a new primitive called anonymous counting tokens (ACTs) which allows clients to obtain blind signatures or MACs (aka tokens) on messages of their choice, while at the same time enabling issuers to enforce rate limits on the number of tokens that a client can obtain for each message. Our constructions enforce that each client will be able to obtain only one token per message and we show a generic transformation to support other rate limiting as well. We achieve this new property while maintaining the unforgeability and unlinkability properties required for anonymous tokens schemes. We present four ACT constructions with various trade-offs for their efficiency and underlying security assumptions. One construction uses factorization-based primitives and a cyclic group. It is secure in the random oracle model under the q-DDHI assumption (in a cyclic group) and the DCR assumption. Our three other constructions use bilinear maps: one is secure in the standard model under q-DDHI and SXDH, one is secure in the random oracle model under SXDH, and the most efficient of the three is secure in the random oracle model and generic bilinear group model.
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Delft, Paesi Bassi, 7 July 2023
Event Calendar Event Calendar
Event date: 7 July 2023
Submission deadline: 15 March 2023
Notification: 17 April 2023
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TU Wien, Vienna, Austria
Job Posting Job Posting
A University Professor position for the specialist field of “Privacy” with permanent (full-time) contract is expected to be filled as of 1 March, 2024 at the Institute of Logic and Computation (Faculty of Informatics) at TU Wien, Austria’s largest institution of research and higher education in the fields of technology and natural sciences.

We are looking for a candidate with strong scientific foundations and demonstrated expertise in the design of innovative privacy-enhancing technologies that fulfill the needs of our digital society. Desired core areas of competence include but are not limited to:
  • Data Privacy
  • Privacy in analytics and machine learning
  • Theoretical foundations of and formal methods for privacy
  • Privacy-preserving protocols, applications, and systems
  • Anonymous communication, censorship-resistance
  • Cryptographic techniques for privacy
  • Human-centered design and usability of privacy technologies
Besides research, the duties include undergraduate and graduate teaching as well as contributing to usual management and faculty service tasks.

Application deadline: 4 May 2023

For all details and to apply, see: jobs.tuwien.ac.at/Job/203700

Closing date for applications:

Contact: Carmen Keck

More information: https://jobs.tuwien.ac.at/Job/203700

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Input Output Global - remote work opportunity
Job Posting Job Posting
Description

As a Senior Cryptography Engineer in Applied Cryptography at IOG you must be an engineer, an architect, an applied cryptographer and leader - it’s a multifaceted role. You have the exciting challenge of working with bleeding-edge research and technology, always with a focus on the market's needs. You will be a leader to an exceptional team. Working on everything from Post-Quantum prototypes to hand-optimisation of existing primitives to completely new products.

Your mission
- Champion of the applied cryptography team
- Captain end to end development and delivery of new products
- Spearhead prototyping of cryptographic products
- Translate research into rigorous engineering specifications & implementations
- Meticulously review cryptographic protocols and proposed primitives
- Expert knowledge of ZK protocols, including PlonK and IPA commitment scheme
- Expert knowledge of elliptic curve cryptography
- Familiarity with blockchain cryptography and constructions
- Practical experience with implementation of cryptographic primitives
- Expert in terms of secure design (constant time, operational security, management of key material)
- Document code and APIs concisely and unambiguously
- Pragmatically adhere to software engineering principles (modularity, incremental development, no premature optimization, no feature creep, no speculative generality, ...)
- Security sensibility related to cryptographic implementation
- Good theoretical cryptography and mathematical knowledge
- Ability to read cryptographic papers, explain them, and manage delivery of their implementation

Your expertise
Degree in Computer Science/Engineering or Applied Mathematics is desirable but not essential
A minimum of 4-5 years development experience (professional or otherwise) in Rust
Experience working with Git and version control
Expert knowledge of applied cryptographic engineering & best practices

Closing date for applications:

Contact: Marios Nicolaides

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Input Output Global - remote work opportunity
Job Posting Job Posting
Description

As Cryptographic Engineer at IO Global, you will have the exciting challenge of working on cutting-edge research and technology focusing on the market’s needs. You will be working on Midnight, specifically on the zero-knowledge proofs that power Midnight.

The Cryptography Engineering team is growing with the goal of bringing recent academic papers into production. In this team, you will work closely with researchers and engineers, being the bridge between both teams. As Cryptography Engineer you are responsible for writing high-quality code. To support you, our products have software architects, product managers, delivery managers, formal methods specialists, and QA test engineers, with whom you must communicate professionally, effectively, and efficiently.

Your mission
- Working with teams across time zones
- Working independently on software development tasks
- Being proactive and requiring minimal supervision or mentoring to complete tasks
- Reviewing specifications produced by architects and formal methods specialists
- Contributing to the design of algorithms
- Troubleshooting, debugging, and upgrading software
- Writing documentation for the code
- Writing technical user manuals
- Understanding complex cryptographic concepts from academic papers
- Bridging ideas from academic papers to production-ready systems

Requirements
Your expertise
- Excellent Mathematical and Analytical skills.
- Experience with Rust. Not necessarily in industry.
- Knowledge of basic cryptographic concepts (Hash Functions,
- Signature Schemes or Elliptic Curves).
- Degree in computer science or mathematics is desirable, but not essential.
- Experience with systems programming (Rust)
- Skilled in software development methods such as agile programming and test-driven development
- Experience in developing cryptography protocols would be a bonus, as would blockchain experience.

Location IOG is a distributed organization and therefore this is a remote position.

Closing date for applications:

Contact: Marios Nicolaides marios.nicolaides@iohk.io

More information: https://apply.workable.com/io-global/j/4437128D09/

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Télécom Paris, Paris, France
Job Posting Job Posting
The Cryptography and Cybersecurity team of Télécom Paris (https://www.telecom-paris.fr/C2) is seeking for excellent and motivated candidates who are interested in doing a PhD thesis/Post-doc in cryptography. We have several fundings, for three years PhD thesis or 1-2 years Post-doc, on topics related to advanced encrypted mechanisms for data security and privacy. The successful candidates will be supervised or co-supervised by Professor Sébastien Canard, Professor Duong Hieu Phan or Assistant Professor Weiqiang Wen. Applicants for PhD are expected to hold a MSc degree in Mathematics or Computer Science. Knowledge on cryptographic primitives is desirable.

Closing date for applications:

Contact: If you want to apply or have more information, please contact Sébastien Canard (sebastien.canard@telecom-paris.fr) or Duong Hieu Phan (hieu.phan@telecom-paris.fr).

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Copenhagen, Denmark, 24 August - 25 August 2023
Event Calendar Event Calendar
Event date: 24 August to 25 August 2023
Submission deadline: 15 April 2023
Notification: 15 June 2023
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03 March 2023

Reza Ghasemi
ePrint Report ePrint Report
Data outsourcing is a solution aimed at addressing the security and reliability issues of data storage by ensuring professional handling of the data. The growing use of outsourcing is causing concern among users due to the lack of assurance regarding the security and reliability of data stored on servers. To address these issues, some attempts have been made to implement Secret Sharing-based Data Outsourcing (SSDO) schemes. The low efficiency of these schemes led researchers to use an index server (IS). However, IS are susceptible to frequency analysis. Bucket-Chain $B^+Tree$ ($BCB^+Tree$) was proposed to tackle the frequency analysis in the current Index Server Secret Sharing-based Data Outsourcing (ISSDO) schemes. Nevertheless, this scheme works very well when the data is discrete with a limited range. Otherwise, the scheme's efficiency declines significantly as it has to store one index in each bucket and the number of buckets rises significantly, rendering the use of an IS useless. In this paper, a new data structure is proposed to store the indexes in IS to mitigate this efficiency concern. Briefly, the domain of values is divided into several segments, and indexes of values in each segment are stored inside a $Shard$. Additionally, a data outsourcing scheme has been presented based on the proposed data structure. It can withstand collaboration from up to $k-1$ dishonest servers even if they have access to the IS.
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Danilo Gligoroski
ePrint Report ePrint Report
We construct algebraic structures where rising to the non-associative power indices is no longer tied with the Discrete Logarithm Problem but with a problem that has been analysed in the last two decades and does not have a quantum polynomial algorithm that solves it. The problem is called Exponential Congruences Problem. By this, \emph{we disprove} the claims presented in the ePrint report 2021/583 titled "Entropoids: Groups in Disguise" by Lorenz Panny that \emph{"all instantiations of the entropoid framework should be breakable in polynomial time on a quantum computer."}

Additionally, we construct an Arithmetic for power indices and propose generic recipe guidelines that we call "Entropic-Lift" for transforming some of the existing classical cryptographic schemes that depend on the hardness of Discrete Logarithm Problem to post-quantum cryptographic schemes that will base their security on the hardness of the Exponential Congruences Problem.

As concrete examples, we show how to transform the classical Diffie-Hellman key exchange, DSA and Schnorr signature schemes.

We also post one open problem: From the perspective of provable security, specifically from the standpoint of security of post-quantum cryptographic schemes, to precisely formalize and analyze the potentials and limits of the Entropic-Lift transformation.
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Razvan Barbulescu, Adrien Poulalion
ePrint Report ePrint Report
Unit group computations are a cryptographic primitive for which one has a fast quantum algorithm, but the required number of qubits is $\tilde{O}(m^5)$. In this work we propose a modification of the algorithm for which the number of qubits is $\tilde{O}(m^2)$ in the case of cyclotomic fields. Moreover, under a recent conjecture on the size of the class group of $\mathbb{Q}(\zeta_m+\zeta_m^{-1})$, the quantum algorithms is much simpler because it is a hidden subgroup problem (HSP) algorithm rather than its error estimation counterpart: continuous hidden subgroup problem (CHSP). We also discuss the (minor) speed-up obtained when exploiting Galois automorphisms thnaks to the Buchmann-Pohst algorithm over $\mathcal{O}_K$-lattices.
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Senpeng Wang, Dengguo Feng, Bin Hu, Jie Guan, Ting Cui, Tairong Shi, Kai Zhang
ePrint Report ePrint Report
Impossible differential (ID) cryptanalysis is one of the most important cryptanalytic approaches for block ciphers. How to evaluate the security of Substitution-Permutation Network (SPN) block ciphers against ID is a valuable problem. In this paper, a series of methods for bounding the length of IDs of SPN block ciphers are proposed. From the perspective of overall structure, we propose a general framework and three implementation strategies. The three implementation strategies are compared and analyzed in terms of efficiency and accuracy. From the perspective of implementation technologies, we give the methods for determining representative set, partition table and ladder and integrating them into searching models. Moreover, the rotation-equivalence ID sets of ciphers are explored to reduce the number of models need to be considered. Thus, the ID bounds of SPN block ciphers can be effectively evaluated. As applications, we show that 9-round PRESENT, 8-round GIFT-64, 12-round GIFT-128, 5-round AES, 6-round Rijndael-160, 7-round Rijndael-192, 7-round Rijndael-224, 7-round Rijndael-256 and 10-round Midori64 do not have any ID under the sole assumption that the round keys are uniformly random. The results of PRESENT, GIFT-128, Rijndael-160, Rijndael-192, Rijndael-224, Rijndael-256 and Midori64 are obtained for the first time. Moreover, the ID bounds of AES, Rijndael-160, Rijndael-192, Rijndael-224 and Rijndael-256 are infimum.
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Thuat Do
ePrint Report ePrint Report
Blockchain has been broadly recognized as a breakthrough technology of the world. Web3, recently, is emerging as a buzzword, indicating the next generation of Internet based on Blockchain, envisioning \textit{the Internet of Money} to store and transfer value. However, when people want a comprehensive view throughout advancements in the Blockchain space, there is a missing in the academic domain and scientific publications regarding distributed ledger technology (DLT) classification and taxonomy for the evolution of public Blockchain generations. In this research, the author attempts to classify DLTs in terms of data structure (ledger type), governance and accessibility. Furthermore, based on the well-known problems and the most technical challenges in Blockchain space, the author studies breaking and significant inventions of various blockchain protocols to give a taxonomy for the evolution of four public Blockchain generations, blockchain layers (0, 1, 2, 3). The first and second generations are dominated by Bitcoin and Ethereum, respectively. The latest state-of-the-art blockchain protocols are developing and shaping the third and fourth generations, where several ``Ethereum-killer" candidates are trying to solve major problems, to offer fantastic functions and capacity, by their own outstanding innovations and distinguished architectural designs. This work helps readers quickly capture historical evolution and innovations of Blockchain, envisioning the next advancements of Web3 as well as the Internet of Value (Internet 2.0).
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Joseph Jaeger, Akshaya Kumar
ePrint Report ePrint Report
We give the first examples of public-key encryption schemes which can be proven to achieve multi-challenge, multi-user CCA security via reductions that are tight in time, advantage, and memory. Our constructions are obtained by applying the KEM-DEM paradigm to variants of Hashed ElGamal and the Fujisaki-Okamoto transformation that are augmented by adding uniformly random strings to their ciphertexts and/or keys.

The reductions carefully combine recent proof techniques introduced by Bhattacharyya’20 and Ghoshal- Ghosal-Jaeger-Tessaro’22. Our proofs for the augmented ECIES version of Hashed-ElGamal make use of a new computational Diffie-Hellman assumption wherein the adversary is given access to a pairing to a random group, which we believe may be of independent interest.
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