International Association for Cryptologic Research

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05 September 2025

Kaveh Dastouri
ePrint Report ePrint Report
We introduce a novel public-key cryptosystem based on the symmetric groups $S_{p_1} \times S_{p_2} $, where \( p_1, p_2 \) are large primes. The modulus \( N = f(\lambda_1) \cdot f(\lambda_2) \), with partitions \( \lambda_1 \in P(p_1) \), \( \lambda_2 \in P(p_2) \), and \( f(\lambda_i) = |C_{\lambda_i}| \cdot m_1(\lambda_i) \), leverages conjugacy class sizes to ensure large prime factors, including \( p_1, p_2 \). A partition selection strategy using non-repeated composition numbers guarantees robust security, surpassing RSA by supporting multiple large primes and deterministic key generation. Efficient decryption is achieved via known factorizations, and a lightweight symmetric hash primitive provides message authentication. We provide rigorous security analysis, practical implementation, and comparisons to multi-prime RSA, advancing algebraic cryptography for modern applications.
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Anubhav Baweja, Pratyush Mishra, Tushar Mopuri, Matan Shtepel
ePrint Report ePrint Report
We present the first IOPP for a linear-time encodable code that achieves linear prover time and $O(\lambda)$ query complexity, for a broad range of security parameters $\lambda$. No prior work is able to simultaneously achieve this efficiency: it either supports linear-time encodable codes but with worse query complexity [FICS; ePrint 2025], or achieves $O(\lambda)$ query complexity but only for quasilinear-time encodable codes [Minzer, Zheng; FOCS 2025]. Furthermore, we prove a matching lower bound that shows that the query complexity of our IOPP is asymptotically optimal (up to additive factors) for codes with constant rate.

We obtain our result by tackling a ubiquitous subproblem in IOPP constructions: checking that a batch of claims hold. Our novel solution to this subproblem is twofold. First, we observe that it is often sufficient to ensure that, with all but negligible probability, most of the claims hold. Next, we devise a new `lossy batching' technique which convinces a verifier of the foregoing promise with lower query complexity than that required to convince it that all the claims hold. This method differs significantly from the line-versus-point test used to achieve query-optimal IOPPs (for quasilinear-time encodable codes) in prior work [Minzer, Zheng; FOCS 2025], and may be of independent interest.

Our IOPP can handle all codes that support efficient codeswitching [Ron-Zewi, Rothblum; JACM 2024], including several linear-time encodable codes. Via standard techniques, our IOPP can be used to construct the first (to the best of our knowledge) IOP for NP with $O(n)$ prover time and $O(\lambda)$ query complexity. We additionally show that our IOPP (and by extension the foregoing IOP) is round-by-round tree-extractable and hence can be used to construct a SNARK in the random oracle model with $O(n)$ prover time and $O(\lambda \log n)$ proof size.
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Nakul Khambhati, Joonwon Lee, Gary Song, Rafail Ostrovsky, Sam Kumar
ePrint Report ePrint Report
Organizations increasingly need to pool their sensitive data for collaborative computation while keeping their own data private from each other. One approach is to use a family of cryptographic protocols called Secure Multi-Party Computation (MPC). Another option is to use a set of cloud services called clean rooms. Unfortunately, neither approach is satisfactory. MPC is orders of magnitude more resource-intensive than regular computation, making it impractical for workloads like data analytics and AI. Clean rooms do not give users the flexibility to perform arbitrary computations.

We propose and develop an approach and system called a secure agent and utilize it to create a virtual clean room, Flexroom, that is both performant and flexible. Secure agents enable parties to create a phantom identity that they can collectively control, using maliciously secure MPC, which issues API calls to external services with parameters that remain secret from all participating parties. Importantly, in Flexroom, the secure agent uses MPC not to perform the computation itself, but instead merely to orchestrate the computation in the cloud, acting as a distinct trusted entity jointly governed by all parties. As a result, Flexroom enables collaborative computation with unfettered flexibility, including the ability to use convenient cloud services. By design, the collaborative computation runs at plaintext speeds, so the overhead of Flexroom will be amortized over a long computation.
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Ritam Bhaumik, Avijit Dutta, Tetsu Iwata, Ashwin Jha, Kazuhiko Minematsu, Mridul Nandi, Yu Sasaki, Meltem Sönmez Turan, Stefano Tessaro
ePrint Report ePrint Report
We consider FB-PRF, one of the key derivation functions defined in NIST SP 800-108 constructed from a pseudorandom function in a feedback mode. The standard allows some flexibility in the specification, and we show that one specific instance of FB-PRF allows an efficient distinguishing attack.
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Yi-Fu Lai, Edoardo Persichetti
ePrint Report ePrint Report
Recently, Hanzlik, Lai, Paracucchi, Slamanig, Tang proposed several blind signature frameworks, collectively named Tanuki(s) (Asiacrypt'25), built upon cryptographic group actions. Their work introduces novel techniques and culminates in a concurrently secure blind signature framework. Straightforward instantiations based on CSIDH (CSI-FiSh) and LESS yield signature sizes of 4.5 KB and 64 KB respectively, providing the first efficient blind signatures in the isogeny-based and code-based literature allowing concurrent executions. In this work, we improve the code-based instantiations by using the canonical form of linear equivalent codes by a careful treatment. However, the canonical form does not naturally support a group action structure, which is central to the security proofs of Tanuki(s). Consequently and unfortunately, the original security guarantees do not directly apply. To address this, we develop two distinct non-black-box reductions for both blindness and the one-more unforgeability. In the end, the improvements do not compromise the security. This results in a concurrently secure code-based blind signature scheme with a compact signature size of 4.4 KB, which is approximately 1% smaller than the isogeny-based one. We also provide a C implementation where the signing time in 99ms and 268 Mcycles on an Intel i7 2.3~GHz CPU. We also look forward to our approaches benefiting advanced constructions built on top of LESS in the future.
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Yang Yang, Guomin Yang, Yingjiu Li, Pengfei WU, Rui Shi, Minming Huang, Jian Weng, HweeHwa Pang, Robert H. Deng
ePrint Report ePrint Report
Service discovery is a fundamental process in wireless networks, enabling devices to find and communicate with services dynamically, and is critical for the seamless operation of modern systems like 5G and IoT. This paper introduces PriSrv+, an advanced privacy and usability-enhanced service discovery protocol for modern wireless networks and resource-constrained environments. PriSrv+ builds upon PriSrv (NDSS'24), by addressing critical limitations in expressiveness, privacy, scalability, and efficiency, while maintaining compatibility with widely-used wireless protocols such as mDNS, BLE, and Wi-Fi.

A key innovation in PriSrv+ is the development of Fast and Expressive Matchmaking Encryption (FEME), the first matchmaking encryption scheme capable of supporting expressive access control policies with an unbounded attribute universe, allowing any arbitrary string to be used as an attribute. FEME significantly enhances the flexibility of service discovery while ensuring robust message and attribute privacy. Compared to PriSrv, PriSrv+ optimizes cryptographic operations, achieving 7.62$\times$ faster for encryption and 6.23$\times$ faster for decryption, and dramatically reduces ciphertext sizes by 87.33$\%$. In addition, PriSrv+ reduces communication costs by 87.33$\%$ for service broadcast and 86.64$\%$ for anonymous mutual authentication compared with PriSrv. Formal security proofs confirm the security of FEME and PriSrv+. Extensive evaluations on multiple platforms demonstrate that PriSrv+ achieves superior performance, scalability, and efficiency compared to existing state-of-the-art protocols.
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Shuiyin Liu, Amin Sakzad
ePrint Report ePrint Report
This work presents a joint design of encoding and encryption procedures for public key encryptions (PKEs) and key encapsulation mechanism (KEMs) such as Kyber, without relying on the assumption of independent decoding noise components, achieving reductions in both communication overhead (CER) and decryption failure rate (DFR). Our design features two techniques: ciphertext packing and lattice packing. First, we extend the Peikert-Vaikuntanathan-Waters (PVW) method to Kyber: $\ell$ plaintexts are packed into a single ciphertext. This scheme is referred to as P$_\ell$-Kyber. We prove that the P$_\ell$-Kyber is IND-CCA secure under the M-LWE hardness assumption. We show that the decryption decoding noise entries across the $\ell$ plaintexts (also known as layers) are mutually independent. Second, we propose a cross-layer lattice encoding scheme for the P$_\ell$-Kyber, where every $\ell$ cross-layer information symbols are encoded to a lattice point. This way we obtain a \emph{coded} P$_\ell$-Kyber, where the decoding noise entries for each lattice point are mutually independent. Therefore, the DFR analysis does not require the assumption of independence among the decryption decoding noise entries. Both DFR and CER are greatly decreased thanks to ciphertext packing and lattice packing. We demonstrate that with $\ell=24$ and Leech lattice encoder, the proposed coded P$_\ell$-KYBER1024 achieves DFR $<2^{-281}$ and CER $ = 4.6$, i.e., a decrease of CER by $90\%$ compared to KYBER1024. If minimizing CPU runtime is the priority, our C implementation shows that the E8 encoder provides the best trade-off among runtime, CER, and DFR. Additionally, for a fixed plaintext size matching that of standard Kyber ($256$ bits), we introduce a truncated variant of P$_\ell$-Kyber that deterministically removes ciphertext components carrying surplus information bits. Using $\ell=8$ and E8 lattice encoder, we show that the proposed truncated coded P$_\ell$-KYBER1024 achieves a $10.2\%$ reduction in CER and improves DFR by a factor of $2^{30}$ relative to KYBER1024. Finally, we demonstrate that constructing a multi-recipient PKE and a multi-recipient KEM (mKEM) using the proposed truncated coded P$_\ell$-KYBER1024 results in a $20\%$ reduction in bandwidth consumption compared to the existing schemes.
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Mahimna Kelkar, Aadityan Ganesh, Aditi Partap, Joseph Bonneau, S. Matthew Weinberg
ePrint Report ePrint Report
Cryptographic protocols often make honesty assumptions---e.g., fewer than $t$ out of $n$ participants are adversarial. In practice, these assumptions can be hard to ensure, particularly given monetary incentives for participants to collude and deviate from the protocol.

In this work, we explore combining techniques from cryptography and mechanism design to discourage collusion. We formalize protocols in which colluders submit a cryptographic proof to whistleblow against their co-conspirators, revealing the dishonest behavior publicly. We provide general results on the cryptographic feasibility, and show how whistleblowing fits a number of applications including secret sharing, randomness beacons, and anonymous credentials.

We also introduce smart collusion---a new model for players to collude. Analogous to blockchain smart contracts, smart collusion allows colluding parties to arbitrarily coordinate and impose penalties on defectors (e.g., those that blow the whistle). We show that unconditional security is impossible against smart colluders even when whistleblowing is anonymous and can identify all colluding players. On the positive side, we construct a whistleblowing protocol that requires only a small deposit and can protect against smart collusion even with roughly $t$ times larger deposit.
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Shuo Peng, Jiahui He, Kai Hu, Zhongfeng Niu, Shahram Rasoolzadeh, Meiqin Wang
ePrint Report ePrint Report
Proposed in EUROCRYPT~2025, \chilow is a family of tweakable block ciphers and a related PRF built on the novel nonlinear $\chichi$ function, designed to enable efficient and secure embedded code encryption. The only key-recovery results of \chilow are from designers which can reach at most 4 out of 8 rounds, which is not enough for a low-latency cipher like \chilow: more cryptanalysis efforts are expected. Considering the low-degree $\chichi$ function, we present three kinds of cube-like attacks on \chilow-32 under both single-tweak and multi-tweak settings, including \begin{itemize} \item[-] a \textit{conditional cube attack} in the multi-tweak setting, which enables full key recovery for 5-round and 6-round instances with time complexities $2^{32}$ and $2^{120}$, data complexities $2^{23.58}$ and $2^{40}$, and negligible memory requirements, respectively. \item[-] a \textit{borderline cube attack} in the multi-tweak setting, which recovers the full key of 5-round \chilow-32 with time, data, and memory complexities of $2^{32}$, $2^{18.58}$, and $2^{33.56}$, respectively. For 6-round \chilow-32, it achieves full key recovery with time, data, and memory complexities of $2^{34}$, $2^{33.58}$, and $2^{54.28}$, respectively. Both attacks are practical. \item [-] an \textit{integral attack} on 7-round \chilow-32 in the single-tweak setting. By combining a 4-round borderline cube with three additional rounds, we reduce the round-key search space from $2^{96}$ to $2^{73}$. Moreover, we present a method to recover the master key based on round-key information, allowing us to recover the master key for 7-round \chilow-32 with a time complexity of $2^{127.78}$. \end{itemize}

All of our attacks respect security claims made by the designers. Though our analysis does not compromise the security of the full 8-round \chilow, we hope that our results offer valuable insights into its security properties.
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Hossein Hafezi, Alireza Shirzad, Benedikt Bünz, Joseph Bonneau
ePrint Report ePrint Report
We present IronDict, a transparent dictionary construction based on polynomial commitment schemes. Transparent dictionaries enable an untrusted server to maintain a mutable dictionary and provably serve clients lookup queries. A major open challenge is supporting efficient auditing by lightweight clients. Previous solutions either incurred high server costs (limiting throughput) or high client lookup verification costs, hindering them from modern messaging key transparency deployments with billions of users. Our construction makes black-box use of a generic multilinear polynomial commitment scheme and inherits its security notions, i.e. binding and zero-knowledge. We implement our construction with the recent KZH scheme and find that a dictionary with $1$ billion entries can be verified on a consumer-grade laptop in $35$ ms, a $300\times$ improvement over the state of the art, while also achieving $150{,}000\times$ smaller proofs ($8$ KB). In addition, our construction ensures perfect privacy with concretely efficient costs for both the client and the server. We also show fast-forwarding techniques based on incremental verifiable computation (IVC) and checkpoints to enable even faster client auditing.
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Varun Madathil, Arthur Lazzaretti, Zeyu Liu, Charalampos Papamanthou
ePrint Report ePrint Report
Secure aggregation enables a central server to compute the sum of client inputs without learning any individual input, even in the presence of dropouts or partial participation. This primitive is fundamental to privacy-preserving applications such as federated learning, where clients collaboratively train models without revealing raw data.

We present a new secure aggregation protocol, TACITA, in the single-server setting that satisfies four critical properties simultaneously: (1) one-shot communication from clients with no per-instance setup, (2) input-soundness, i.e. the server cannot manipulate the ciphertexts, (3) constant-size communication per client, independent of the number of participants per-instance, and (4) robustness to client dropouts

Previous works on secure aggregation - Willow and OPA (CRYPTO'25) that achieve one-shot communication do not provide input soundness, and allow the server to manipulate the aggregation. They consequently do not achieve full privacy and only achieve Differential Privacy guarantees at best. We achieve full privacy at the cost of assuming a PKI. Specifically, TACITA relies on a novel cryptographic primitive we introduce and realize: succinct multi-key linearly homomorphic threshold signatures (MKLHTS), which enables verifiable aggregation of client-signed inputs with constant-size signatures. To encrypt client inputs, we adapt the Silent Threshold Encryption (STE) scheme of Garg et al. (CRYPTO 2024) to support ciphertext-specific decryption and additive homomorphism.

We formally prove security in the Universal Composability framework and demonstrate practicality through an open-source proof-of-concept implementation, showing our protocol achieves scalability without sacrificing efficiency or requiring new trust assumptions.
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Victor Shoup
ePrint Report ePrint Report
We present a practical, non-interactive threshold decryption scheme. It can be proven CCA secure with respect to adaptive corruptions in the random oracle model under a standard computational assumption, namely, the DDH assumption. Our scheme, called TDH2a, is a minor tweak on the TDH2 scheme presented by Shoup and Gennaro at Eurocrypt 1998, which was proven secure against static corruptions under the same assumptions. The design and analysis of TDH2a are based on a straightforward extension of the simple information-theoretic argument underlying the security of the Cramer-Shoup encryption scheme presented at Crypto 1998.
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Sedric Nkotto
ePrint Report ePrint Report
Kyber a.k.a ML-KEM has been stardardized by NIST under FIPS-203 and will definetely in the coming years be implemented in several commercial products. However the resilience of implementations against side channel attacks is still an open and practical concern. One of the drawbacks of the ongoing side channel analysis research related to PQC schemes is the availability of open source datasets. Luckily some opensource datasets start popping up. For instance the one recently published by Rezaeezade et al. in [2]. This dataset captures power consumption during a pair- pointwise multiplication occuring in the course of ML-KEM decapsulation process and involving the decapsulation (sub)key and ciphertexts. In this paper we present a template side channel attack targetting that operation, which yields a complete recovery of the decapsulation secret (sub)key.
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Gustavo Banegas, Anaëlle Le Dévéhat, Benjamin Smith
ePrint Report ePrint Report
Many signature applications---such as root certificates, secure software updates, and authentication protocols---involve long-lived public keys that are transferred or installed once and then used for many verifications. This key longevity makes post-quantum signature schemes with conservative assumptions (e.g., structure-free lattices) attractive for long-term security. But many such schemes, especially those with short signatures, suffer from extremely large public keys. Even in scenarios where bandwidth is not a major concern, large keys increase storage costs and slow down verification. We address this with a method to replace large public keys in GPV-style signatures with smaller, private verification keys. This significantly reduces verifier storage and runtime while preserving security. Applied to the conservative, short-signature schemes \Wave and \Squirrels, our method compresses \Squirrels[-I] keys from \SI{665}{\kilo\byte} to \SI{20.7}{\kilo\byte} and \Wave[822] keys from \SI{3.5}{\mega\byte} to \SI{207.97}{\kilo\byte}.
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Ioannis Alexopoulos, Zeta Avarikioti, Paul Gerhart, Matteo Maffei, Dominique Schröder
ePrint Report ePrint Report
Bitcoin secures over a trillion dollars in assets but remains largely absent from decentralized finance (DeFi) due to its restrictive scripting language. The emergence of BitVM, which enables verification of arbitrary off-chain computations via on-chain fraud proofs, opens the door to expressive Bitcoin-native applications without altering consensus rules. A key challenge for smart contracts executed on a public blockchain, however, is the privacy of data: for instance, bid privacy is crucial in auctions and transaction privacy is leveraged in MEV-mitigation techniques such as proposer-builder separation. While different solutions have been recently proposed for Ethereum, these are not applicable to Bitcoin. In this work, we present BitPriv, the first Bitcoin-compatible protocol to condition payments based on the outcome of a secure two-party computation (2PC). The key idea is to let parties lock collateral on-chain and to evaluate a garbled circuit off-chain: a cut-and-choose mechanism deters misbehavior and any violation can be proven and punished on-chain via BitVM. This design achieves security against rational adversaries, ensuring that deviation is irrational under financial penalties. We showcase the new class of applications enabled by BitPriv as well as evaluate its performance through a privacy-preserving double-blind marketplace in Bitcoin. In the optimistic case, settlement requires only two transactions and under \$3 in fees; disputes are more expensive (≈\$507) with their cost tied to the specific BitVM implementation, but their mere feasibility acts as a strong deterrent. BitPriv provides a blueprint for building enforceable, privacy-preserving DeFi primitives on Bitcoin without trusted hardware, sidechains, or protocol changes.
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Sebastian Kolby, Lawrence Roy, Jure Sternad, Sophia Yakoubov
ePrint Report ePrint Report
A Private Information Retrieval (PIR) protocol allows a client to learn the $i$th row of a database held by one or more servers, without revealing $i$ to the servers. A Random-Index PIR (RPIR) protocol, introduced by Gentry et al. (TCC 2021), is a PIR protocol where, instead of being chosen by the client, $i$ is random. This has applications in e.g. anonymous committee selection. Both PIR and RPIR protocols are interesting only if the communication complexity is smaller than the database size; otherwise, the trivial solution where the servers send the entire database suffices. Unlike PIR, where the client must send at least one message (to encode information about $i$), RPIR can be executed in a single round of server-to-client communication. In this paper, we study such one-round, information-theoretic RPIR protocols. The only known construction in this setting is SimpleMSRPIR (Gentry et al.), which requires the servers to communicate approximately $\frac{N}{2}$ bits, $N$ being the database size. We show an $\Omega(\sqrt{N})$ lower bound on communication complexity for one-round two-server information-theoretic RPIR, and a sublinear upper bound. Finally, we show how to use a sublinear amount of database-independent correlated randomness among multiple servers to get near-optimal online communication complexity (the size of one row plus the size of one index description per server).
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03 September 2025

Yashvanth Kondi, Ian McQuoid, Kelsey Melissaris, Claudio Orlandi, Lawrence Roy, LaKyah Tyner
ePrint Report ePrint Report
Strong Asymmetric Password-Authenticated Key Exchange (saPAKE) enables a client, holding only a low-entropy password, to repeatedly establish shared high-entropy session keys with a server holding a digest of the expected password. Integrally, the only online attacks afforded to the adversary are those inevitable impersonation and dictionary attacks. As opposed to previous modeling, saPAKE addionally requires that any offline password search against the server’s storage takes place after adaptive server compromise.

We present OneTwoPAKE, the first saPAKE protocol to simultaneously: 1. realize the full (unweakened ) strong aPAKE functionality; 2. not admit a speedup in an offline password search; (aka, has simulation-rate of 1 ); 3. use only a single round trip, with the client speaking first; and 4. avoid generic algebraic models.

Similar to prior work, we instantiate our saPAKE from an OPRF over insecure channels secure against adaptive server compromise. In contrast to prior work, our OPRF is online-extractable and input-committing, enabling our protocol to realize the full saPAKE functionality.

Of independent interest are our OPRF functionality and construction. We introduce the first formal model of such an OPRF, and our OPRF protocol is the first Dodis-Yampolskiy-based OPRF proven UC-secure against malicious adversaries without authenticated channels.

Our framework demonstrates the feasibility of achieving all of the above properties simultaneously. Though our constructions are not as efficient as those of prior work, our saPAKE boasts the minimal round complexity, achieves full security, and, in terms of idealized models, relies only on the random oracle model. As future work may further close the efficiency gap, our framework may lead to practically deployable solutions.
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Sangmin Cha, GyeongJu Song, Seyoung Yoon, Hwajeong Seo
ePrint Report ePrint Report
Quantum attacks such as Grover’s algorithm reduce the security of classical hash functions such as MD5. In this paper, we present an efficient quantum circuit for the MD5 hash function and apply Grover’s algorithm to perform an effective pre-image attack. Our MD5 quantum circuit first focuses on reducing quantum circuit depth, while also considering the number of qubits. To this end, we applied Draper’s carrylookahead adder to the MD5 quantum circuit and modified its structure. When Draper’s adder was applied to the proposed MD5 structure, there was an approximately 81.4% reduction compared to before application. As a result, the proposed MD5 quantum circuit uses only 858 qubits and has a depth of 7,598.
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Sayatan Ganguly, Shion Samadder Chaudhury
ePrint Report ePrint Report
In an emerging era of quantum technologies, securing quantum communications is paramount. In this paper, we introduce two frameworks for attribute-based quantum broadcast encryption (AB-QBE), enabling fine-grained access control over sensitive quantum data. The first scheme, Multi-Policy Quantum Private Broadcast Encryption (MP-QPBE), leverages symmetric unitary \(t\)-designs to construct a protocol where decryption is possible upon satisfying a composite set of access policies simultaneously. This approach ensures that a user can only access the broadcasted quantum state if their attributes fulfill multiple predefined criteria. In our MP-QPBE, we first perform symmetrization of the initial quantum message for the encryption of the tensor product of distinct pure states, a scenario not directly addressed by previous quantum private broadcasting schemes. We demonstrate that this method is information-theoretically secure. The second scheme, Component-wise Independent Quantum Broadcast Encryption (CI-QBE), offers an alternative, lossless approach where each quantum message is encrypted independently using a unitary \(1\)-design. It provides greater flexibility and is applicable to arbitrary quantum states, including mixed states, without the information loss inherent in symmetrization. We provide a comprehensive security analysis for both constructions, proving their robustness against unauthorized users and adversaries with quantum side information. A comparative analysis highlights the trade-offs between the two schemes in terms of security guarantees, quantum resource requirements, and practical applicability, offering a nuanced perspective on designing secure multi-user quantum communication systems.
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Sayatan Ganguly, Shion Samadder Chaudhury
ePrint Report ePrint Report
Several subscription-based systems require fine-grained, dynamic access control, which traditional broadcast encryption schemes fail to handle efficiently. Attribute-based and policy-based access structures offer a flexible and scalable solution by encoding access rules directly into the encryption mechanism. With the advent and development of quantum networks, attribute-based and policy-based quantum broadcast encryption (PBQBE) becomes necessary for enforcing such controls securely in a post-quantum world. In this paper, we present a general construction of quantum broadcast encryption for multiple messages simultaneously, based on routing and traversing a given attribute-based and, consequently, a policy-based access tree when a user satisfies a unique policy. Our scheme can handle dynamic systems with frequently changing access patterns and can be deployed seamlessly with classical systems. Compared to existing constructions, our scheme offers hierarchical access, policy control, scalability, and revocation while maintaining provable security guarantees.
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