International Association for Cryptologic Research

International Association
for Cryptologic Research

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09 January 2026

Katharina Boudgoust, Oleksandra Lapiha, Rafaël del Pino, Thomas Prest
ePrint Report ePrint Report
At Asiacrypt'25, Lapiha and Prest proposed a lattice-based IND-CCA threshold key-encapsulation mechanism (TKEM) obtained from a threshold identity-based encryption (TIBE) and a signature scheme. Their construction relies on a variant of the Boneh-Canetti-Halevi-Katz (BCHK) transform, instantiated with a lattice-based TIBE. However it suffers from large ciphertexts at 540 KiB for $\kappa = 128$ bits of security.

We present substantial improvements to their TIBE, resulting in the first concretely efficient lattice-based IND-CCA TKEM, with ciphertexts just under 30 KiB for a threshold $T = 32$, $Q = 2^{45}$ queries, and the same $\kappa$.

Our design simplifies the original framework by leveraging the power of random oracles already present in their construction. We further enhance efficiency by adopting approximate computations where appropriate and by replacing module-NTRU trapdoors with NTRU trapdoors, achieving a remarkable eighteenfold reduction in ciphertext size. Finally, leveraging recent developments in secret sharing, we ensure the verifiability of key-extraction shares even in the presence of malicious parties.
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Afonso Arriaga, David Mestel, Jan Oupický, Peter Browne Rønne, Marjan Škrobot
ePrint Report ePrint Report
Password-Authenticated Public Key Encryption (PAPKE) enables secure encryption using only a shared, human-memorable password—eliminating the need for trusted intermediaries or pre-established infrastructure. It allows a sender to encrypt a message for a recipient, using the recipient's password-authenticated public key and a shared password, while provably resisting man-in-the-middle and offline dictionary attacks. PAPKE's support for reusable password-authenticated public keys makes it especially suitable for asynchronous, PKI-free communication scenarios.

An important open problem is to construct PAPKE schemes that are secure against quantum adversaries, as existing instantiations rely on Diffie-Hellman assumptions. The PAPKE-IC construction (ACNS 2019) is generic and admits integration with post-quantum PKE schemes. However, the scheme assumes an Ideal Cipher (IC) over the public key domain, which is large for most post-quantum PKE schemes. While an IC is typically instantiated using a block cipher, standard block ciphers operate over much smaller domains (e.g., 128 or 256 bits). Alternatively, one can use an 8-round Feistel network, which achieves indifferentiability from an ideal cipher, or domain extenders. The latter are inefficient at the domain sizes required, making the efficient and secure instantiation of the IC in PAPKE-IC, in combination with post-quantum PKE, particularly challenging.

In this paper, we propose PAPKE-HIC, a UC-secure PAPKE scheme built from a PKE scheme and a Half-Ideal Cipher (HIC, introduced at EUROCRYPT 2023), which circumvents the challenges of instantiating ideal ciphers over large domains. We provide a detailed security proof of PAPKE-HIC and establish precise requirements for the underlying PKE: strong robustness, one-wayness, ciphertext anonymity, and pseudo-uniformity of public keys. Our analysis identifies a gap in the original PAPKE-IC security proof, motivating the introduction of a novel property, which we denote Decryption Robustness (DROB-CCA). Although DROB-CCA is implied by strong robustness (SROB-CCA), the reduction is not tight and incurs a quadratic security loss. We analyze which PKE schemes directly satisfy DROB-CCA, and conclude by presenting concrete instantiations of PAPKE-HIC. To our knowledge, this is the first practical, post-quantum instantiation of the PAPKE primitive.
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Kévin Duverger, Pierre-Alain Fouque, Charlie Jacomme, Guilhem Niot, Cristina Onete
ePrint Report ePrint Report
Subversion-resilient Authenticated key-exchange (AKE) aims to achieve the guarantees of secure AKE even in the presence of an adversary that has tampered with parts of the protocol's implementation. One way to achieve subversion-resilient AKE is the use of Reverse Firewalls (RFs), an untrusted third-party that can restore security. Recent work [18] highlights the challenges of designing RFs for practical secure channel-establishment.

This paper extends existing RF-based subversion-resilient AKE at three levels: security definitions, constructions, and the use of formal verification. First, we introduce a useful relaxation of the notion of security in subversion-resilient AKE with RFs: the goal is no longer to prevent all exfiltration, but rather to restore to the AKE protocol a property lost upon subversion. We focus specifically on authenticating and (key-)securing RFs. We also discuss subversion-resilience against a spectrum of compromises, designing a flexible framework in which protocols are proved secure with respect to adversaries that can tamper with some components of the implementation, but perhaps not others.

Our ultimate goal is to achieve post-quantum secure subversion-resilient key-exchange. Far from being trivial, this requires the introduction of a malleable-yet-secure notion of key encapsulation, which we dub re-randomizable Key Encapsulation Mechanism. We carefully formalize this new primitive and instantiate it first based on a classical Diffie-Hellman KEM and one based on Kyber.

Finally, we lay the foundations for the formal verification of RF based protocols, by formally proving our protocol with the CryptoVerif prover, in addition to computational-security proofs in usual Bellare-Rogaway methodology.
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Charles Dodd, Pooya Farshim, Siamak F. Shahandashti, Karl Southern
ePrint Report ePrint Report
The study of memory-hard functions (MHFs) so far has mainly focused on providing provable guarantees on the expected minimum cumulative memory complexity (CMC) required per evaluation when amortized over multiple instances. Such results, however, do not provide any guarantees for the security of compromised password banks in the sense of passwords remaining unrecoverable. Indeed, a construction can be memory-hard while still leaking information about its input. We provide the first formal treatment of the unrecoverability of graph-based data-independent MHFs (iMHFs) in the multi-instance setting. Multi-instance security is the accepted security model when inputs have low-entropy or are correlated, and require the adversarial effort to linearly scale with the number of instances broken.

To prove these results, we appropriately extend the ex-post-facto pebbling technique of Alwen and Serbinenko (STOC'15) and the unguessability reductions of Farshim and Tessaro (EUROCRYPT'21). We then use the resulting compatible frameworks to bound the number of guesses of adversaries with a given CMC in terms of the pebbling complexity of the graph underlying the iMHF. Combined with known lower bounds for the pebbling complexities of their graphs, we obtain, as corollaries, concrete unrecoverability bounds for the Argon2i, Catena, and Balloon hashing, showing in particular that the advantage indeed scales linearly with the number of instances and the cumulative memory complexity of the attacker.
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Sumanta Chakraborty, SK Hafizul Islam
ePrint Report ePrint Report
In this paper, we present some research on quantum complexity measurements for applying Grover's search algorithm to recover the key of a stream cipher, Atom. As a foundational step, we propose a novel and complete quantum gate-level design of Atom. We incorporate a quantum lookup table to implement the key filtering with a specific decimal counter value during the keystream generation phase, which is absent in the only known previous work on the quantum attack against Atom. Based on the proposed design, we present an algorithm based on Grover's search to recover the key of Atom. Considering the limited qubit capacity of the IBM Qiskit simulator, the proposed search algorithm, with a round-reduced initialization phase, is simulated for 3-qubit key recovery with a probability greater than 0.9. We provide resource estimations for the proposed quantum algorithms. We also perform optimizations on the resources required by the proposed Grover oracle and present a benchmark for Grover's search algorithm on Atom. The research findings in this paper claim that Atom satisfies NIST Level 1 security.
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Gottfried Herold, Dmitry Khovratovich, Mikhail Kudinov, Stefano Tessaro, Benedikt Wagner
ePrint Report ePrint Report
In this work, we initiate the study of aborting hash functions, i.e., hash functions that may abort on a non-negligible fraction of inputs. We introduce the aborting random oracle model (aROM), an idealized framework that extends the standard random oracle model (ROM) to account for aborts. Within this model, we derive bounds for various security notions and establish generic indifferentiability results demonstrating how to construct aborting random oracles from standard ones. Consequently, the derived bounds ultimately hold in the standard ROM. In this way, the aROM and its associated bounds provide a convenient and easy-to-use framework for analyzing cryptographic constructions that rely on potentially aborting hash functions.

To illustrate the utility of our framework, we apply our techniques to two settings: (1) the analysis of SNARK-friendly incomparable hypercube encodings, a core primitive in hash-based signature schemes, and (2) the analysis of grinding in Fiat–Shamir-based non-interactive arguments. Through our generic indifferentiability results, we can easily translate these analyses into concrete security bounds in the standard (non-aborting) random oracle model.
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Arka Rai Choudhuri, Sanjam Garg, Matthew Gregoire, Keewoo Lee, Mike Lodder, Hart Montgomery, Guru Vamsi Policharla, Jim Zhang
ePrint Report ePrint Report
Central bank digital currencies (CBDCs) and other related digital asset platforms have the potential to revolutionize the financial world. While these platforms have been deployed in test environments by virtually all large financial institutions, including central banks, there are still several limitations of these systems that prevent widespread adoption. These include (i) privacy, (ii) security against quantum adversaries, and (iii) auditability. In this work, we undertake (to our knowledge) the first formal study of these systems.

While there have been many digital asset platforms implemented, we do not know of any formal model for a fundamentally UTXO-based digital asset platform/CBDC. Our first contribution is a formal modeling of a UTXO-based private digital asset system that meets our requirements listed above. This model is loosely based upon the open source software that we found came the closest to meeting our requirements, Hyperledger Zeto. In the course of our formal modeling, we found a critical security bug in Zeto which we responsibly disclosed to the Zeto maintainers and has since been fixed. We then provide an efficient construction of such a system, which we call Qurrency. Qurrency is an efficient UTXO-based privacy-preserving token system that includes an auditing mechanism and is secure against "harvest now, decrypt later" attacks, which is critically important for several central banks, including the Bank of Brazil. We implemented our construction to show that it is practically efficient and can be used on any EVM-based blockchain system with ease.
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Ming-Shing Chen, Chun-Ming Chiu, Chun-Tao Peng, Bo-Yin Yang
ePrint Report ePrint Report
This paper presents an accelerated implementation of the Hamming Quasi-Cyclic (HQC) key encapsulation mechanism by leveraging additive Fast Fourier Transform (FFT) for polynomial multiplication (polymuls). A common challenge when applying FFT-based polymuls to HQC are the polynomial degrees fractionally greater than powers of two, making standard FFT polymuls inefficient for those parameters. We introduce a novel combination of additive FFT with the Chinese Remainder Theorem (CRT) to multiply such just-above-power-of-two degree polynomials.

Further optimizations are achieved by caching the FFT transforms of the public and secret keys during or after key generation and reusing the transform of the shared random polynomial during the encapsulation and decapsulation processes. This approach significantly reduces redundant computations.

The effectiveness of these optimizations is evaluated across various hardware platforms, including x86-64 with AVX2 and Galois Field New Instructions (GFNI), as well as ARM NEON on Apple M1 and Cortex-A72 processors. Benchmarks show that on platforms with long carry-less multiplication instructions like PCLMULQDQ, the proposed caching and reuse strategies allow FFT-based implementations to outpace traditional Toom-Karatsuba methods in the Encap and Decap operations of the HQC scheme, even with comparable raw multiplication speeds. On platforms lacking long carry-less multiplication instructions, the additive FFT approach already gives the superior performance.
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Sofía Celi, Rafaël del Pino, Thomas Espitau, Guilhem Niot, Thomas Prest
ePrint Report ePrint Report
Threshold signature schemes allow a group of users to jointly generate a digital signature, providing resilience against faults and enhancing decentralization. With the advent of post-quantum cryptography, lattice-based threshold signatures have gained attention as viable PQ-threshold solutions. Nevertheless, existing constructions are limited in terms of their scalability, robustness. Worse, none is compatible with standardized schemes, particularly with the NIST-selected and standardized Module-Lattice-based Digital Signature Algorithm (ML-DSA) algorithm.

In this work, we present the first threshold signature scheme that is fully compatible with ML-DSA, supporting secure and efficient signing for a small number of parties, with an average communication per party upper bounded by 1 MB up to 6 parties. Our construction leverages advanced short secret sharing techniques and integrates optimized rejection sampling to achieve a favorable balance between communication efficiency and correctness in distributed environments. We implement our construction in Go and evaluate its performance across local, LAN, and WAN network settings. Our benchmarks demonstrate that our threshold ML-DSA scheme is not only practically deployable but also well-suited for real-world applications, including multi-device cryptocurrency wallets, threshold-based TLS authentication, and for Tor's directory authorities.
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Jiankuo Dong, Yuze Hou, Shiqin Wang, Letian Sha, Fu Xiao, Zhenjiang Dong, Jingqiang Lin
ePrint Report ePrint Report
Hamming Quasi-Cyclic (HQC) was a candidate algorithm in the fourth round of the National Institute of Standards and Technology (NIST) post-quantum cryptography (PQC) standardization process and was ultimately selected as a standardized cryptographic scheme in the latest round. To date, although HQC has been optimized for FPGA, CPU, and other platforms, research on GPU-based parallel acceleration remains significantly underexplored. Given this, our research aims to investigate the feasibility and efficiency of hand-optimized HQC implementations on GPU, addressing the current research gap in GPU-based implementations of code-based cryptographic algorithms. In this paper, we introduce a High-performance Implementation of GPU-based HQC, named HIGH. First, we propose a novel architecture for coding-based PQC implementations, significantly reducing redundant global memory access through core fusion. Second, we design a HIKD structure for HIGH, combining a high-order multiplication scheme (HIK) and a low-order multiplication scheme (HID), achieving an impressive 85.6\% improvement over Official fourth round Optimized Implementation. Third, through extensive experimentation, we sought the optimal HIKD combination and identified the optimal parallel parameters, leveraging these optimizations, HIGH surpasses current state-of-the-art benchmarks, with Key Generation, Encapsulation, and Decapsulation performance increased by 20$\times$, 32$\times$, and 39$\times$, respectively.
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Jiarui Li, Mengzhen Zou, Chen Qian, Guoyan Zhang
ePrint Report ePrint Report
Secret sharing serves as a critical primitive for distributed systems; however, traditional protocols lack the adaptability required for dynamic environments with unpredictable participant turnover. While Dynamic-Committee Proactive Secret Sharing (DPSS) attempts to address this, existing synchronous solutions suffer from a critical vulnerability: they necessitate a multi-round hand-off phase that effectively imposes a "quiescent window." This requirement forces committee membership to remain static during transitions, directly contradicting the premise of a fully dynamic adversary.

In this work, we propose a Fully Dynamic-Committee model that eliminates the quiescent window by supporting committee reconfiguration in every round. We present two primary contributions. First, we introduce a suite of three perfectly secure Fully Dynamic Verifiable Secret Sharing (FDVSS) schemes that support per-round committee reconfiguration. Among them, our main construction, FDVSS-1, achieves near-optimal round complexity (four rounds) and polynomial communication ($O(n^4)$). Second, building on FDVSS, we construct a perfectly secure Fully Dynamic-Committee Proactive Secret Sharing (FDPSS) protocol. FDPSS achieves share redistribution in a single communication round, removing "quiescent window" during the hand-off phase. Our protocols require no trusted setup and provide optimal resilience ($t < n/3$) against a Byzantine adversary, offering a robust solution for fault-tolerant distributed systems in highly dynamic networks.
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Matthew Gregoire, Gabriel Schell, Saba Eskandarian
ePrint Report ePrint Report
Abuse reporting tools like message franking allow end-to-end encrypted (E2EE) messaging platforms to verify user-generated abuse reports as part of their platform content moderation policies. While the lightweight message franking protocol deployed by Meta's Messenger is designed with the assumption that the moderator and the platform processing messages are the same entity, proposals for other message franking-style protocols allow for a separation between the platform and moderator, albeit at a higher cost. Unfortunately, all works in this space assume that there exists a single moderator working with a platform who verifies and moderates all reports. This results in a situation where technical limitations limit platforms' moderation policy options.

This paper introduces new techniques that allow E2EE messaging platforms to work with multiple vetted moderators, giving users options in their choice of moderators for messages they send to their friends. Verifiable abuse reporting in a multi-moderator setting requires new security notions to capture deniability requirements with respect to the platform and other moderators, as well as new privacy requirements with respect to users' choice of moderator(s). We comprehensively study these requirements and propose three protocols for verifiable abuse reporting in this setting, offering a range of security and performance tradeoffs for different deployment scenarios. We evaluate the performance of our proposed schemes, showing that in many cases they match or exceed the performance of prior schemes that only support a single moderator.
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W.A. Susantha Wijesinghe
ePrint Report ePrint Report
This paper introduces a design methodology for synchronous stream ciphers based on sparse expander graphs as the primary state evolution mechanism, and demonstrates its viability through EGC-Stream, a concrete 128-bit cipher instance. In contrast to conventional designs built around LFSR/NLFSR feedback or complex filtering functions, the proposed approach derives security from structural diffusion induced by a regular Cayley graph combined with a uniform nonlinear Boolean update rule. Key material is injected through a lightweight LFSR mechanism that is deliberately decoupled from the diffusion structure, enabling clear separation between state mixing and key influence. The cipher operates on a 128-bit internal state composed of a 64-bit primary expander-based state and a 64-bit LFSR, and produces one keystream bit per clock cycle following a fixed 256-cycle warm-up phase. Security is evaluated using exact solver-based bounds for short-round differential and linear trails, complemented by empirical algebraic and statistical experiments. These results characterize the cipher’s local trail behavior and observed output properties under the tested configurations. Complementary algebraic experiments based on black-box Algebraic Normal Form (ANF) reconstruction demonstrate rapid saturation of algebraic degree and dense Boolean representations of keystream bits. Statistical evaluation using the NIST SP 800-22 test suite confirms the absence of detectable biases within the tested limits. Hardware efficiency is assessed through baseline FPGA and ASIC implementations. On an Artix-7 FPGA, EGC-Stream achieves deterministic single-bit-per-cycle output with modest resource usage and competitive throughput. ASIC synthesis in a 45 nm standard-cell library results in a compact implementation within the range of established lightweight stream ciphers. Overall, EGC--Stream demonstrates that expander-graph-based diffusion provides a practical, hardware-friendly, and analytically tractable foundation for stream cipher design.
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08 January 2026

Dario Fiore, San Ling, Khai Hanh Tang, Hong Hanh Tran, Huaxiong Wang, Yingfei Yan
ePrint Report ePrint Report
A keyword $\mathbf{s}$ is a subsequence of a text $\mathbf{t}$ if $\mathbf{s}$ can be obtained by deleting some characters of $\mathbf{t}$. Otherwise, $\mathbf{s}$ is considered a non-subsequence of $\mathbf{t}$. Determining (non-)subsequence relationships involves various fields, e.g., genetic analysis, blockchains, natural language processing, etc. Ling et al. (SCN 2024) provided a succinct argument for non-subsequences from multivariate sumcheck (Lund et al., FOCS 1990) whose prover's runtime is at least $\mathcal{O}(n + N + |\Sigma|)$ where $n$, $N$, and $\Sigma$ are respectively the lengths of strings $\mathbf{s}$ and $\mathbf{t}$, and the alphabet $\Sigma$ capturing all characters of $\mathbf{s}$ and $\mathbf{t}$. As indicated by Ling et al., proving non-subsequences is non-trivial since one needs to model such an argument into smaller ones for sumcheck, permutation, and lookup.

We propose a subsequence scheme that separates proving either subsequence or non-subsequence arguments into two phases: (i) proof of preprocessing and (ii) proof of (non-)subsequence argument, assuming $n \ll N$ (i.e., $|\mathbf{s}| \ll |\mathbf{t}|$). Then, we can make a proof of preprocessing with inputs $\mathbf{t}$ and $\Sigma$ in advance, without any knowledge about $\mathbf{s}$. When $\mathbf{s}$ is known, we can determine whether $\mathbf{s}$ is a subsequence of $\mathbf{t}$ and proceed to prove that $\mathbf{s}$ is a (non-)subsequence of $\mathbf{t}$. Employing cached quotients (IACR ePrint 2022/1763), we achieve the running time quasilinear in $N + |\Sigma|$ for preprocessing, while the running time of proving (non-)subsequences is $\mathcal{O}(n \log_2 (N + |\Sigma|))$. Since $n \ll N$ and $\log_2(N + |\Sigma|)$ is small, this saves the prover's runtime, assuming a preprocessing depending only on $\mathbf{t}$ is computed in advance. As $\mathcal{O}(n \log_2 (N + |\Sigma|))$ is sub-linear in $N + |\Sigma|$, we achieve a text-sub-linear proving time.
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07 January 2026

University of Oldenburg, Germany
Job Posting Job Posting

The Safety-Security-Interaction Group at the Computer Science Department of the University of Oldenburg invites applications for a 4-years post-doc position in trustworthy AI in the context of medical applications (full-time, paygrade E14 TV-L). The term “trust” is to be interpreted broadly and may include topics such as reliability, robustness, fairness, explainability, and auditability, however, the main focus should be on security and privacy aspects. The position is part of the AI Incubator “Connected Health Nordwest”, a collaborative effort of the University Medicine Oldenburg (UMO), the Department of Computer Science at the University of Oldenburg, the Oldenburg Institute for Information Technology (OFFIS), and the German Research Center for AI (DFKI).

The post-doc position will be equipped with 2 Ph.D. student positions (4 years each, full-time, E13 TV-L) and access to extensive laboratories and infrastructure for testing technologies.

Excellent command of the English language is required; German language skills are not required.

Application deadline: 31 January 2026

Complete job announcement and application procedure: https://uol.de/job889en

Closing date for applications:

Contact: Prof. Dr. Andreas Peter ([email protected])

More information: https://uol.de/job889en

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Silence Laboratories (remote)
Job Posting Job Posting
Silence Laboratories is looking to hire a full-time cryptography researcher starting in early 2026. Candidates should hold (or be close to completing) a PhD, or otherwise be able to demonstrate a comparable level of proficiency in cryptography. The position will be focused on designing and implementing lattice based cryptography tools and so proven expertise in this domain (through papers at top venues, and other public engagement) is a must. Experience with development in Rust, and familiarity with MPC, FHE, and threshold signature protocols are bonuses.

At Silence, you can expect unique and impactful opportunities to put theory to practice, freedom in how you approach your work, competitive pay, and a chance to work with some of the top research and engineering talent.

The position will be fully remote with occasional travel for in-person offsites, as well as for conferences and workshops per your interest.

In order to apply, please send your CV, and a link to your website (if available) to [email protected] with the title “Full-time Researcher 2026 Application [Your Name]” by January 20th 2026 at the latest for full consideration.

A more detailed posting can be found at: https://md.silencelaboratories.com/s/uoCQUi3hz

Closing date for applications:

Contact: [email protected]

More information: https://md.silencelaboratories.com/s/uoCQUi3hz

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King's College London
Job Posting Job Posting

We are looking to recruit a lecturer in cryptography at King’s College London to work with us within the cybersecurity group.

We think it’s fair to say we got strong expertise in lattice-based and post-quantum cryptography here, as well as in protocols with an applied cryptography bent. For this position, we do not aim to strengthen lattices further, but rather aim to strengthen other areas of cryptography, e.g. protocols, applied cryptography, cryptography in the wild or theory.

The application deadline is somewhat far into the future (5 March 2026). So, if you like, there’s time to reach out to discuss or even to come visit us to check us out.

Closing date for applications:

Contact: Martin Albrecht ([email protected])

More information: https://martinralbrecht.wordpress.com/2026/01/05/lecturer-%e2%89%85-assistant-professor-juniorprofessor-maitre-de-conferences-in-cryptography-at-kings-college-london-2026/

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06 January 2026

Hung T. Dang
ePrint Report ePrint Report
We present a deterministic framework for navigating $p$-isogeny graphs of genus $g \ge 2$, addressing the lack of canonical and auditable primitives in higher dimensions. The framework integrates two components: the Certified $p$-Isogeny Step (PICS) and a Non-Decomposition Certificate (ND). PICS constructs the unique Frobenius-compatible inseparable isogeny by extracting kernel directions from Hasse--Witt invariants and differential subresultant profiles, thereby eliminating randomized kernel selection. Complementarily, ND serves as an algebraic filter that rejects Jacobians compatible with product decompositions by enforcing cyclicity in the associated differential operator module. We prove that the rejection density scales asymptotically as $O(p^{-1})$. Experimental validation using a C-based backend over 256-bit prime fields demonstrates that the certification logic incurs a relative overhead of less than $0.2\%$ compared to the mandatory Hasse--Witt computation. By enforcing strict determinism and structural safety, the resulting transition unit provides a verifiable primitive for auditable parameter generation and isogeny-based time-lock puzzles.
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Lalita Devadas, Samuel B. Hopkins, Yael Tauman Kalai, Pravesh K. Kothari, Alex Lombardi, Surya Mathialagan
ePrint Report ePrint Report
We revisit the question of whether it is possible to build succinct non-interactive arguments ($\mathsf{SNARG}$s) for all of $\mathsf{NP}$ under standard assumptions using non-signaling probabilistically checkable proofs [Kalai-Raz-Rothblum, STOC' 14]. In particular, we observe that using exponential-length PCPs appears to circumvent all of the existing barriers.

For our main result, we give a candidate non-adaptive $\mathsf{SNARG}$ for $\mathsf{NP}$ and prove its soundness under:

- the learning with errors assumption (or other standard assumptions such as bilinear maps), and - a mathematical conjecture about multivariate polynomials over the reals.

In more detail, our conjecture is an upper bound on the minimum total coefficient size of Nullstellensatz proofs (Potechin-Zhang, ICALP 2024) of membership in a concrete polynomial ideal. We emphasize that this is not a cryptographic assumption or any form of computational hardness assumption.

Of particular interest is the fact that our security analysis makes non-black-box use of the $\mathsf{SNARG}$ adversary, circumventing the black-box barrier of Gentry and Wichs (STOC '11). This gives a blueprint for constructing $\mathsf{SNARG}$s for $\mathsf{NP}$ that is not subject to the Gentry-Wichs barrier.
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Luowen Qian, Mark Zhandry
ePrint Report ePrint Report
We show that a simple eavesdropper listening in on classical communication between potentially entangled quantum parties will eventually be able to impersonate any of the parties. Furthermore, the attack is efficient if one-way puzzles do not exist. As a direct consequence, one-way puzzles are implied by reusable authentication schemes over classical channels with quantum pre-shared secrets that are potentially evolving.

As an additional application, we show that any quantum money scheme that can be verified through only classical queries to any oracle cannot be information-theoretically secure. This significantly generalizes the prior work by Ananth, Hu, and Yuen (ASIACRYPT'23) where they showed the same but only for the specific case of random oracles. Therefore, verifying black-box constructions of quantum money inherently requires coherently evaluating the underlying cryptographic tools, which may be difficult for near-term quantum devices.
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