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10 August 2023
Karel BURDA
The paper extends Shannon's classical theory of ciphers. Here ciphers are modeled by Latin rectangles and their resistance to brute force attack is assessed through the valence of cryptograms. The valence of a cryptogram is defined as the number of all meaningful messages produced by decrypting the cryptogram with all possible keys. In this paper, the mean cryptogram valence of an arbitrary modern cipher with K keys, N outputs and N inputs, of which M inputs are messages, is derived. Furthermore, the lower bound on the valence of the cryptograms of entire ciphers is derived in this paper. The obtained parameters allow to assess the resistance of cryptograms, resp. ciphers against brute force attack. The model is general, illustrative and uses a simpler mathematical apparatus than existing theory. Therefore, it can also be used as an introduction to the theory of resistance of ciphers to brute force attack.
Hernán Darío Vanegas Madrigal, Daniel Cabarcas Jaramillo, Diego F. Aranha
The edit distance is a metric widely used in genomics to measure the similarity of two DNA chains. Motivated by privacy concerns, we propose a 2PC protocol to compute the edit distance while preserving the privacy of the inputs. Since the edit distance algorithm can be expressed as a mixed-circuit computation, our approach uses protocols based on secret-sharing schemes like Tinier and SPD$\mathbb{Z}_{2^k}$; and also daBits to perform domain conversion and edaBits to perform arithmetic comparisons. We modify the Wagner-Fischer edit distance algorithm, aiming at reducing the number of rounds of the protocol, and achieve a flexible protocol with a trade-off between rounds and multiplications. We implement our proposal in the MP-SPDZ framework, and our experiments show that it reduces the execution time respectively by 81\% and 54\% for passive and active security with respect to a baseline implementation in a LAN. The experiments also show that our protocol reduces traffic by two orders of magnitude compared to a BMR-MASCOT implementation.
Sunyeop Kim, Myoungsu Shin, Seonkyu Kim, Hanbeom Shin, Insung Kim, Donggeun Kwon, Dongjae Lee, Seonggyeom Kim, Deukjo Hong, Jaechul Sung, Seokhie Hong
Shadow is a lightweight block cipher proposed at IEEE IoT journal 2021. Shadow’s main design principle is adopting a variant 4- branch Feistel structure in order to provide a fast diffusion rate. We define such a structure as Shadow structure and prove that it is al- most identical to the Generalized Feistel Network, which invalidates the design principle. Moreover, we give a structural distinguisher that can distinguish Shadow structure from random permutation with only two plaintext/ciphertext pairs. By exploiting the key schedule, the distin- guisher can be extended to key recovery attack with only one plain- text/ciphertext pair. Furthermore, by considering Shadow’s round func- tion, only certain forms of monomials can appear in the ciphertext, re- sulting in an integral distinguisher of four plaintext/ciphertext pairs. Even more, the algebraic degree does not increase more than 12 for Shadow-32 and 20 for Shadow-64 regardless of rounds used. Our results show that Shadow is highly vulnerable to algebraic attacks, and that algebraic attacks should be carefully considered when designing ciphers with AND, rotation, and XOR operations.
Ghous Amjad, Kevin Yeo, Moti Yung
Anonymous tokens are digital signature schemes that enable an issuer to provider users with signatures without learning the input message or the resulting signature received by the user. These primitives allow applications to propagate trust while simultaneously protecting the identity of the user. Anonymous tokens have become a core component for improving the privacy of several real-world applications including ad measurements, authorization protocols, spam detection and VPNs.
In certain applications, it is natural to associate signatures with specific public metadata ensuring that signatures only propagate trust with respect to only a certain set of scenarios. To solve this, we study the notion of anonymous tokens with public metadata in this work. We present a variant of RSA blind signatures with public metadata such that issuers may only generate signatures that verify for a certain choice of public metadata. We prove the security of our protocol under one-more RSA assumptions with multiple exponents that we introduce. Furthermore, we provide evidence that the concrete security bounds should be nearly identical to standard RSA blind signatures. The protocols in this paper have been proposed as a technical specification in an IRTF internet draft.
In certain applications, it is natural to associate signatures with specific public metadata ensuring that signatures only propagate trust with respect to only a certain set of scenarios. To solve this, we study the notion of anonymous tokens with public metadata in this work. We present a variant of RSA blind signatures with public metadata such that issuers may only generate signatures that verify for a certain choice of public metadata. We prove the security of our protocol under one-more RSA assumptions with multiple exponents that we introduce. Furthermore, we provide evidence that the concrete security bounds should be nearly identical to standard RSA blind signatures. The protocols in this paper have been proposed as a technical specification in an IRTF internet draft.
07 August 2023
Sonia Belaïd, Gaëtan Cassiers, Camille Mutschler, Matthieu Rivain, Thomas Roche, François-Xavier Standaert, Abdul Rahman Taleb
Physical side-channel attacks are powerful attacks that exploit a device's physical emanations to break the security of cryptographic implementations. Many countermeasures have been proposed against these attacks, especially the widely-used and efficient masking countermeasure. Nevertheless, proving the security of masked implementations is challenging. Current techniques rely on empirical approaches to validate the security of such implementations. On the other hand, the theoretical community introduced leakage models to provide formal proofs of the security of masked implementations. Meanwhile, these leakage models rely on physical assumptions that are difficult to satisfy in practice, and the literature lacks a clear framework to implement proven secure constructions on a physical device while preserving the proven security.
In this paper, we present a complete methodology describing the steps to turn an abstract masking scheme proven secure in a theoretical leakage model into a physical implementation satisfying provable security against side-channel attacks in practice. We propose new tools to enforce or relax the physical assumptions the indeal noisy leakage model rely on and provide novel ways of including them in a physical implementation. We also highlight the design goals for an embedded device to reach high levels of proven security, discussing the limitations and open problems of the practical usability of the leakage models. Our goal is to show that it is possible to bridge theory and practice and to motivate further research to fully close the gap and get practical implementations proven secure against side-channel attacks on a physical device without any ideal assumption about the leakage.
In this paper, we present a complete methodology describing the steps to turn an abstract masking scheme proven secure in a theoretical leakage model into a physical implementation satisfying provable security against side-channel attacks in practice. We propose new tools to enforce or relax the physical assumptions the indeal noisy leakage model rely on and provide novel ways of including them in a physical implementation. We also highlight the design goals for an embedded device to reach high levels of proven security, discussing the limitations and open problems of the practical usability of the leakage models. Our goal is to show that it is possible to bridge theory and practice and to motivate further research to fully close the gap and get practical implementations proven secure against side-channel attacks on a physical device without any ideal assumption about the leakage.
Thomas Decru, Luciano Maino, Antonio Sanso
In this paper, we present a new quantum-resistant weak Verifiable Delay Function based on a purely algebraic construction. Its delay depends on computing a large-degree isogeny between elliptic curves, whereas its verification relies on the computation of isogenies between products of two elliptic curves. One of its major advantages is its expected fast verification time. However, it is important to note that the practical implementation of our theoretical framework poses significant challenges. We examine the strengths and weaknesses of our construction, analyze its security and provide a proof-of-concept implementation.
Sourav Das, Zhuolun Xiang, Alin Tomescu, Alexander Spiegelman, Benny Pinkas, Ling Ren
Verifiable Secret Sharing (VSS) is a fundamental building block in cryptography. Despite its importance and extensive studies, existing VSS protocols are often complex and inefficient. Many of them do not support dual threads, are not publicly verifiable, or do not properly terminate in asynchronous networks. In this paper, we present a new and simple paradigm for designing VSS protocols in synchronous and asynchronous networks. Our VSS protocols are optimally fault-tolerant, i.e., they tolerate a 1/2 and a 1/3 fraction of malicious nodes in synchronous and asynchronous networks, respectively. They only require a public key infrastructure and the hardness of discrete logarithms. Our protocols support dual thresholds and their transcripts are publicly verifiable. We implement our VSS protocols and measure their computation and communication costs with up to 1024 nodes. Our evaluation illustrates that our VSS protocols provide asynchronous termination and public verifiability with minimum performance overhead. Compared to the existing VSS protocol with similar guarantees, our protocols are 5-15× and 8-13× better in computation and communication cost, respectively.
Colin O'Flynn
Electromagnetic Fault Injection (EMFI) has been demonstrated to be useful for both academic and industrial research. Due to the dangerous voltages involved, most work is done with commercial tools. This paper introduces a safety-focused low-cost and open-source design that can be built for less than \$50 using only off-the-shelf parts.
The paper also introduces an iCE40 based Time-to-Digital Converter (TDC), which is used to visualize the glitch inserted by the EMFI tool. This demonstrates the internal voltage perturbations between voltage, body biasing injection (BBI), and EMFI all result in similar waveforms. In addition, a link between an easy-to-measure external voltage measurement and the internal measurement is made. Attacks are also made on a hardware AES engine, and a soft-core RISC-V processor, all running on the same iCE40 FPGA.
The platform is used to demonstrate several aspects of fault injection, including that the spatial positioning of the EMFI probe can impact the glitch strength, and that the same physical device may require widely different glitch parameters when running different designs.
The paper also introduces an iCE40 based Time-to-Digital Converter (TDC), which is used to visualize the glitch inserted by the EMFI tool. This demonstrates the internal voltage perturbations between voltage, body biasing injection (BBI), and EMFI all result in similar waveforms. In addition, a link between an easy-to-measure external voltage measurement and the internal measurement is made. Attacks are also made on a hardware AES engine, and a soft-core RISC-V processor, all running on the same iCE40 FPGA.
The platform is used to demonstrate several aspects of fault injection, including that the spatial positioning of the EMFI probe can impact the glitch strength, and that the same physical device may require widely different glitch parameters when running different designs.
Xinyi Ji, Jiankuo Dong, Pinchang Zhang, Deng Tonggui, Hua Jiafeng, Fu Xiao
CRYSTALS-Kyber, as the only public key encryption (PKE) algorithm selected by the National Institute of Standards and Technology (NIST) in the third round, is considered one of the most promising post-quantum cryptography (PQC) schemes. Lattice-based cryptography uses complex discrete alogarithm problems on lattices to build secure encryption and decryption systems to resist attacks from quantum computing. Performance is an important bottleneck affecting the promotion of post quantum cryptography. In this paper, we present a High-performance Implementation of Kyber (named HI-Kyber) on the NVIDIA GPUs, which can increase the key-exchange performance of Kyber to the million-level. Firstly, we propose a lattice-based PQC implementation architecture based on kernel fusion, which can avoid redundant global-memory access operations. Secondly, We optimize and implement the core operations of CRYSTALS-Kyber, including Number Theoretic Transform (NTT), inverse NTT (INTT), pointwise multiplication, etc. Especially for the calculation bottleneck NTT operation, three novel methods are proposed to explore extreme performance: the sliced layer merging (SLM), the sliced depth-first search (SDFS-NTT) and the entire depth-first search (EDFS-NTT), which achieve a speedup of 7.5%, 28.5%, and 41.6% compared to the native implementation. Thirdly, we conduct comprehensive performance experiments with different parallel dimensions based on the above optimization. Finally, our key exchange performance reaches 1,664 kops/s. Specifically, based on the same platform, our HI-Kyber is 3.52$\times$ that of the GPU implementation based on the same instruction set and 1.78$\times$ that of the state-of-the-art one based on AI-accelerated tensor core.
Inam ul Haq, Jian Wang, Youwen Zhu, Sheharyar Nasir
The accelerated advances in information communication technologies have made it possible for enterprises to deploy large scale applications in a multi-server architecture (also known as cloud computing environment). In this architecture, a mobile user can remotely obtain desired services over the Internet from multiple servers by initially executing a single registration on a trusted registration server (RS). Due to the hazardous nature of the Internet, to protect user privacy and online communication, a lot of multi-server authenticated-key-agreement (MSAKA) schemes have been furnished. However, all such designs lack in two very vital aspects, i.e., 1) no security under the partially trusted RS and 2) RS cannot control a user to access only a wanted combination of service-providing servers. To address these shortcomings, we present a new MSAKA protocol using self-certified public-key cryptography (SCPKC). We confirm the security of the proposed scheme by utilizing the well-known automated verification tool AVISPA and also provide a formal security proof in the random oracle model. Moreover, the software implementation of the proposed scheme, and a performance and security metrics comparison shows that it portrays a better security performance trade-off, and hence is more appropriate for real-life applications having resource constraint devices.
Abhiram Kothapalli, Srinath Setty
This paper introduces CycleFold, a new and conceptually simple approach to instantiate folding-scheme-based recursive arguments over a cycle of elliptic curves, for the purpose of realizing incrementally verifiable computation (IVC). Existing approach to solve this problem originates from BCTV (CRYPTO'14) who describe their approach for a SNARK-based recursive argument, and it was adapted by Nova (CRYPTO'22) to a folding-scheme-based recursive argument. A downside of this approach is that it represents a folding scheme verifier as a circuit on both curves in the cycle. (e.g., with Nova, this requires $\approx$10,000 multiplication gates on both curves in the cycle).
CycleFold’s starting point is the observation that folding-scheme-based recursive arguments can be efficiently instantiated without a cycle of elliptic curves—except for a few scalar multiplications in their verifiers (2 in Nova, 1 in HyperNova, and 3 in ProtoStar). Accordingly, CycleFold uses the second curve in the cycle to merely represent a single scalar multiplication ($\approx$1,000--1,500 multiplication gates). CycleFold then folds invocations of that tiny circuit on the first curve in the cycle. This is nearly an order of magnitude improvement over the prior state-of-the-art in terms of circuit sizes on the second curve. CycleFold is particularly beneficial when instantiating folding-scheme-based recursive arguments over “half pairing” cycles (e.g., BN254/Grumpkin) as it keeps the circuit on the non-pairing-friendly curve minimal. The running instance in a CycleFold-based recursive argument consists of an instance on the first curve and a tiny instance on the second curve. Both instances can be proven using a zkSNARK defined over the scalar field of the first curve.
On the conceptual front, with CycleFold, an IVC construction and nor its security proof has to explicitly reason about the cycle of elliptic curves. Finally, due to its simplicity, CycleFold-based recursive argument can be more easily be adapted to support parallel proving with the so-called "binary tree" IVC.
CycleFold’s starting point is the observation that folding-scheme-based recursive arguments can be efficiently instantiated without a cycle of elliptic curves—except for a few scalar multiplications in their verifiers (2 in Nova, 1 in HyperNova, and 3 in ProtoStar). Accordingly, CycleFold uses the second curve in the cycle to merely represent a single scalar multiplication ($\approx$1,000--1,500 multiplication gates). CycleFold then folds invocations of that tiny circuit on the first curve in the cycle. This is nearly an order of magnitude improvement over the prior state-of-the-art in terms of circuit sizes on the second curve. CycleFold is particularly beneficial when instantiating folding-scheme-based recursive arguments over “half pairing” cycles (e.g., BN254/Grumpkin) as it keeps the circuit on the non-pairing-friendly curve minimal. The running instance in a CycleFold-based recursive argument consists of an instance on the first curve and a tiny instance on the second curve. Both instances can be proven using a zkSNARK defined over the scalar field of the first curve.
On the conceptual front, with CycleFold, an IVC construction and nor its security proof has to explicitly reason about the cycle of elliptic curves. Finally, due to its simplicity, CycleFold-based recursive argument can be more easily be adapted to support parallel proving with the so-called "binary tree" IVC.
Shweta Agrawal, Junichi Tomida, Anshu Yadav
Recently, Abdalla, Gong and Wee (Crypto 2020) provided the first functional encryption scheme for attribute-weighted sums (AWS), where encryption takes as input $N$ (unbounded) attribute-value pairs $\{\vec{x}_i, \vec{z}_i\}_{I \in [N]}$ where $\vec{x}_i$ is public and $\vec{z}_i$ is private, the secret key is associated with an arithmetic branching programs $f$, and decryption returns the weighted sum ${\sum}_{{i \in [N]}} f(\vec{x}_i)^\top \vec{z}_i$, leaking no additional information about the $\vec{z}_i$'s.
We extend FE for AWS to the significantly more challenging multi-party setting and provide the first construction for {\it attribute-based} multi-input FE (MIFE) supporting AWS. For $i \in [n]$, encryptor $i$ can choose an attribute $\vec{y}_i$ together with AWS input $\{\vec{x}_{i,j}, \vec{z}_{i,j}\}$ where $j \in [N_i]$ and $N_i$ is unbounded, the key generator can choose an access control policy $g_i$ along with its AWS function $h_i$ for each $i \in [n]$, and the decryptor can compute
$$\sum_{i \in [n]}\sum_{j \in [N_{i}]}h_{i}(\vec{x}_{i,j})^{\top}\vec{z}_{i,j} \text{ iff } g_{i}(\vec{y}_{i}) =0 \text{ for all } i \in [n]$$ Previously, the only known attribute based MIFE was for the inner product functionality (Abdalla et al.~Asiacrypt 2020), where additionally, $\vec{y}_i$ had to be fixed during setup and must remain the same for all ciphertexts in a given slot. Our attribute based MIFE implies the notion of multi-input {\it attribute based encryption} (\miabe) recently studied by Agrawal, Yadav and Yamada (Crypto 2022) and Francati, Friolo, Malavolta and Venturi (Eurocrypt 2023), for a conjunction of predicates represented as arithmetic branching programs (ABP). Along the way, we also provide the first constructions of multi-client FE (MCFE) and dynamic decentralized FE (DDFE) for the AWS functionality. Previously, the best known MCFE and DDFE schemes were for inner products (Chotard et al.~ePrint 2018, Abdalla, Benhamouda and Gay, Asiacrypt 2019, and Chotard et al.~Crypto 2020). Our constructions are based on pairings and proven selectively secure under the matrix DDH assumption.
$$\sum_{i \in [n]}\sum_{j \in [N_{i}]}h_{i}(\vec{x}_{i,j})^{\top}\vec{z}_{i,j} \text{ iff } g_{i}(\vec{y}_{i}) =0 \text{ for all } i \in [n]$$ Previously, the only known attribute based MIFE was for the inner product functionality (Abdalla et al.~Asiacrypt 2020), where additionally, $\vec{y}_i$ had to be fixed during setup and must remain the same for all ciphertexts in a given slot. Our attribute based MIFE implies the notion of multi-input {\it attribute based encryption} (\miabe) recently studied by Agrawal, Yadav and Yamada (Crypto 2022) and Francati, Friolo, Malavolta and Venturi (Eurocrypt 2023), for a conjunction of predicates represented as arithmetic branching programs (ABP). Along the way, we also provide the first constructions of multi-client FE (MCFE) and dynamic decentralized FE (DDFE) for the AWS functionality. Previously, the best known MCFE and DDFE schemes were for inner products (Chotard et al.~ePrint 2018, Abdalla, Benhamouda and Gay, Asiacrypt 2019, and Chotard et al.~Crypto 2020). Our constructions are based on pairings and proven selectively secure under the matrix DDH assumption.
04 August 2023
Aikata Aikata, Ahmet Can Mert, Sunmin Kwon, Maxim Deryabin, Sujoy Sinha Roy
Fully Homomorphic Encryption (FHE) has emerged as a promising technology for processing encrypted data without the need for decryption. Despite its potential, its practical implementation has faced challenges due to substantial computational overhead. To address this issue, we propose the $first$ chiplet-based FHE accelerator design `REED', which enables scalability and offers high throughput, thereby enhancing homomorphic encryption deployment in real-world scenarios. It incorporates well-known wafer yield issues during fabrication which significantly impacts production costs. In contrast to state-of-the-art approaches, we also address data exchange overhead by proposing a non-blocking inter-chiplet communication strategy. We incorporate novel pipelined Number Theoretic Transform and automorphism techniques, leveraging parallelism and providing high throughput.
Experimental results demonstrate that REED 2.5D integrated circuit consumes 177 mm$^2$ chip area, 82.5 W average power in 7nm technology, and achieves an impressive speedup of up to 5,982$\times$ compared to a CPU (24-core 2$\times$Intel X5690), and 2$\times$ better energy efficiency and 50\% lower development cost than state-of-the-art ASIC accelerator. To evaluate its practical impact, we are the $first$ to benchmark an encrypted deep neural network training. Overall, this work successfully enhances the practicality and deployability of fully homomorphic encryption in real-world scenarios.
Experimental results demonstrate that REED 2.5D integrated circuit consumes 177 mm$^2$ chip area, 82.5 W average power in 7nm technology, and achieves an impressive speedup of up to 5,982$\times$ compared to a CPU (24-core 2$\times$Intel X5690), and 2$\times$ better energy efficiency and 50\% lower development cost than state-of-the-art ASIC accelerator. To evaluate its practical impact, we are the $first$ to benchmark an encrypted deep neural network training. Overall, this work successfully enhances the practicality and deployability of fully homomorphic encryption in real-world scenarios.
Xiaohan Yue, Xue Bi, Haibo Yang, Shi Bai, Yuan He
Vehicle-to-grid (V2G) networks, as an emerging smart grid paradigm, can be integrated with renewable energy resources to provide power services and manage electricity demands. When accessing electricity services, an electric vehicle(EV) typically provides authentication or/and payment information containing identifying data to a service provider, which raises privacy concerns as malicious entities might trace EV activity or exploit personal information. Although numerous anonymous authentication and payment schemes have been presented for V2G networks, no such privacy-preserving scheme supports authentication and payment simultaneously. Therefore, this paper is the first to present a privacy-preserving authentication scheme with anonymous payment for V2G networks (PAP, for short). In addition, this scheme also supports accountability and revocability, which are practical features to prevent malicious behavior; minimal attribute disclosure, which maximizes the privacy of EV when responding to the service provider's flexible access policies; payment binding, which guarantees the accountability in the payment phase; user-controlled linkability, which enables EV to decide whether different authentication sessions are linkable for continuous services. On the performance side, we implement PAP with the pairing cryptography library, then evaluate it on different hardware platforms, showing that it is essential for V2G applications.
Joohee Lee, Minju Lee, Jaehui Park
The KpqC competition has begun in 2022, that aims to standardize Post-Quantum Cryptography (PQC) in the Republic of Korea. Among the 16 submissions of the KpqC competition, the lattice-based schemes exhibit the most promising and balanced features in performance. In this paper, we propose an effective classical CCA attack to recover the transmitted session key for NTRU+, one of the lattice-based Key Encapsulation Mechanisms (KEM) proposed in the KpqC competition, for the first time. With the proposed attacks, we show that all the suggested parameters of NTRU+ do not satisfy the claimed security. We also suggest a way to modify the NTRU+ scheme to defend our attack.
Ivan Damgård, Divya Ravi, Luisa Siniscalchi, Sophia Yakoubov
In this paper we continue the study of two-round broadcast-optimal MPC, where broadcast is used in one of the two rounds, but not in both. We consider the realistic scenario where the round that does not use broadcast is asynchronous. Since a first asynchronous round (even when followed by a round of broadcast) does not admit any secure computation, we introduce a new notion of asynchrony which we call $(t_d, t_m)$-asynchrony. In this new notion of asynchrony, an adversary can delay or drop up to $t_d$ of a given party's incoming messages; we refer to $t_d$ as the deafness threshold. Similarly, the adversary can delay or drop up to $t_m$ of a given party's outgoing messages; we refer to $t_m$ as the muteness threshold.
We determine which notions of secure two-round computation are achievable when the first round is $(t_d, t_m)$-asynchronous, and the second round is over broadcast. Similarly, we determine which notions of secure two-round computation are achievable when the first round is over broadcast, and the second round is (fully) asynchronous. We consider the cases where a PKI is available, when only a CRS is available but private communication in the first round is possible, and the case when only a CRS is available and no private communication is possible before the parties have had a chance to exchange public keys.
We determine which notions of secure two-round computation are achievable when the first round is $(t_d, t_m)$-asynchronous, and the second round is over broadcast. Similarly, we determine which notions of secure two-round computation are achievable when the first round is over broadcast, and the second round is (fully) asynchronous. We consider the cases where a PKI is available, when only a CRS is available but private communication in the first round is possible, and the case when only a CRS is available and no private communication is possible before the parties have had a chance to exchange public keys.
Kittiphop Phalakarn, Athasit Surarerks
The encryption processes and cryptosystems are very important. We use them to protect our private information over the Internet. Cellular automata are ones of the computational models that can also be used in cryptosystems. The advantage of the cellular automata is their abilities to work in parallel, and thus can reduce the encryption time. Some applications require the encryption time to be small, so this paper aims to reduce the encryption time of the cellular automata cryptosystems. We propose a new technique to permit the cryptosystems to get the avalanche effect faster. This avalanche effect is one of the desired properties for cryptosystems. In the proposed technique, the new type of neighbor is defined, a sequence of neighbor tuples. We apply our technique to Seredynski and Bouvry’s work, and the results show that the number of iterations can be reduced up to three times. This makes our cellular automata cryptosystems run faster. The relationship between the size of the neighbor and the size of the cellular automata, and the effect of neighbor sequences to the hardware implementations are left for further studies.
Nan Wang, Sid Chi-Kin Chau, Dongxi Liu
Zero-knowledge range proofs play a critical role in confidential transactions (CT) on blockchain systems. They are used to prove the non-negativity of committed transaction payments without disclosing the exact values. Logarithmic-sized range proofs with transparent setups, e.g., Bulletproofs, which aim to prove a committed value lies in the range $[0, 2^N-1]$ where $N$ is the bit length of the range, have gained growing popularity for communication-critical blockchain systems as they increase scalability by allowing a block to accommodate more transactions. In this paper, we propose SwiftRange, a new type of logarithmic-sized zero-knowledge range argument with a transparent setup in the discrete logarithm setting. Our argument can be a drop-in replacement for range proofs in blockchain-based confidential transactions. Compared with Bulletproofs, our argument has higher computational efficiency and lower round complexity while incurring comparable communication overheads for CT-friendly ranges, where $N \in \{32,64\}$. Specifically, a SwiftRange achieves 1.61$\times$ and 1.32$\times$ proving efficiency with no more than 1.1$\times$ communication costs for both ranges, respectively. More importantly, our argument offers a $2.3\times$ increase in verification efficiency. Furthermore, our argument has a smaller size when $N \leq 16$, making it competitive for many other communication-critical applications. Our argument supports the aggregation of multiple single arguments for greater efficiency in communication and verification. Finally, we benchmarked our argument against the state-of-the-art range proofs to demonstrate its practicality.
Bolin Yang, Prasanna Ravi, Fan Zhang, Ao Shen, Shivam Bhasin
In this work, we propose a novel single-trace key recovery attack targeting side-channel leakage from the key-generation procedure of Kyber KEM. Our attack exploits the inherent nature of the Module-Learning With Errors (Module-LWE) problem used in Kyber KEM. We demonstrate that the inherent reliance of Kyber KEM on the Module-LWE problem results in a higher number of repeated computations with the secret key, compared to the Ring-LWE problem of similar security level. We exploit leakage from the pointwise multiplication operation in the key-generation procedure, and take advantage of the properties of the Module-LWE instance to enable a potential single trace key recovery attack. We validated the efficacy of our attack on both simulated and real traces, and we performed experiments on both the reference and assembly optimized implementation of Kyber KEM, taken from the pqm4 library, a well-known benchmarking and testing framework for PQC schemes on the ARM Cortex-M4 microcontroller. We also analyze the applicability of our attack on the countermeasures against traditional SCA such as masking and shuffling. We believe our work motivates more research towards SCA resistant implementation of key-generation procedure for Kyber KEM.
Aydin Abadi, Dan Ristea, Steven J. Murdoch
Time-Lock puzzles (TLP) are cryptographic protocols that enable a client to lock a message in such a way that a server can only unlock it after a specific time period. However, existing TLPs have certain limitations: (i) they assume that both the client and server always possess sufficient computational resources and (ii) they solely focus on the lower time bound for finding a solution, disregarding the upper bound that guarantees a regular server can find a solution within a certain time frame. Additionally, existing TLPs designed to handle multiple puzzles either (a) entail high verification costs or (b) lack generality, requiring identical time intervals between consecutive solutions. To address these limitations, this paper introduces, for the first time, the concept of a "Delegated Time-Lock Puzzle" and presents a protocol called "Efficient Delegated Time- Lock Puzzle" (ED-TLP) that realises this concept. ED-TLP allows the client and server to delegate their resource-demanding tasks to third-party helpers. It facilitates real-time verification of solution correctness and efficiently handles multiple puzzles with varying time intervals. ED-TLP ensures the delivery of solutions within predefined time limits by incorporating both an upper bound and a fair payment algorithm. We have implemented ED-TLP and conducted a comprehensive analysis of its overheads, demonstrating the efficiency of the construction