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Keywords = linkable ring signature

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45 pages, 1523 KB  
Article
Post-Quantum Revocable Linkable Ring Signature Scheme Based on SPHINCS+ for V2G Scenarios
by Shuanggen Liu, Ya Nan Du, Xu An Wang, Xinyue Hu and Hui En Su
Sensors 2026, 26(3), 754; https://doi.org/10.3390/s26030754 - 23 Jan 2026
Cited by 1 | Viewed by 720
Abstract
As a core support for the integration of new energy and smart grids, Vehicle-to-Grid (V2G) networks face a core contradiction between user privacy protection and transaction security traceability—a dilemma that is further exacerbated by issues such as the quantum computing vulnerability of traditional [...] Read more.
As a core support for the integration of new energy and smart grids, Vehicle-to-Grid (V2G) networks face a core contradiction between user privacy protection and transaction security traceability—a dilemma that is further exacerbated by issues such as the quantum computing vulnerability of traditional cryptography, cumbersome key management in stateful ring signatures, and conflicts between revocation mechanisms and privacy protection. To address these problems, this paper proposes a post-quantum revocable linkable ring signature scheme based on SPHINCS+, with the following core innovations: First, the scheme seamlessly integrates the pure hash-based architecture of SPHINCS+ with a stateless design, incorporating WOTS+, FORS, and XMSS technologies, which inherently resists quantum attacks and eliminates the need to track signature states, thus completely resolving the state management dilemma of traditional stateful schemes; second, the scheme introduces an innovative “real signature + pseudo-signature polynomially indistinguishable” mechanism, and by calibrating the authentication path structure and hash distribution of pseudo-signatures (satisfying the Kolmogorov–Smirnov test with D0.05), it ensures signer anonymity and mitigates the potential risk of distinguishable pseudo-signatures; third, the scheme designs a KEK (Key Encryption Key)-sharded collaborative revocation mechanism, encrypting and storing the (I,pk,RID) mapping table in fragmented form, with KEK split into KEK1 (held by the Trusted Authority, TA) and KEK2 (held by the regulatory node), with collaborative decryption by both parties required to locate malicious users, thereby resolving the core conflict of privacy leakage in traditional revocation mechanisms; fourth, the scheme generates forward-secure linkable tags based on one-way private key updates and one-time random factors, ensuring that past transactions cannot be traced even if the current private key is compromised; and fifth, the scheme adopts hash commitments instead of complex cryptographic commitments, simplifying computations while efficiently binding transaction amounts to signers—an approach consistent with the pure hash-based design philosophy of SPHINCS+. Security analysis demonstrates that the scheme satisfies the following six core properties: post-quantum security, unforgeability, anonymity, linkability, unframeability, and forward secrecy, thereby providing technical support for secure and anonymous payments in V2G networks in the quantum era. Full article
(This article belongs to the Special Issue Cyber Security and Privacy in Internet of Things (IoT))
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26 pages, 911 KB  
Article
Logarithmic-Size Post-Quantum Linkable Ring Signatures Based on Aggregation Operations
by Minghui Zheng, Shicheng Huang, Deju Kong, Xing Fu, Qiancheng Yao and Wenyi Hou
Entropy 2026, 28(1), 130; https://doi.org/10.3390/e28010130 - 22 Jan 2026
Viewed by 620
Abstract
Linkable ring signatures are a type of ring signature scheme that can protect the anonymity of signers while allowing the public to verify whether the same signer has signed the same message multiple times. This functionality makes linkable ring signatures suitable for applications [...] Read more.
Linkable ring signatures are a type of ring signature scheme that can protect the anonymity of signers while allowing the public to verify whether the same signer has signed the same message multiple times. This functionality makes linkable ring signatures suitable for applications such as cryptocurrencies and anonymous voting systems, achieving the dual goals of identity privacy protection and misuse prevention. However, existing post-quantum linkable ring signature schemes often suffer from issues such as excessive linear data growth the adoption of post-quantum signature algorithms, and high circuit complexity resulting from the use of post-quantum zero-knowledge proof protocols. To address these issues, a logarithmic-size post-quantum linkable ring signature scheme based on aggregation operations is proposed. The scheme constructs a Merkle tree from ring members’ public keys via a hash algorithm to achieve logarithmic-scale signing and verification operations. Moreover, it introduces, for the first time, a post-quantum aggregate signature scheme to replace post-quantum zero-knowledge proof protocols, thereby effectively avoiding the construction of complex circuits. Scheme analysis confirms that the proposed scheme meets the correctness requirements of linkable ring signatures. In terms of security, the scheme satisfies the anonymity, unforgeability, and linkability requirements of linkable ring signatures. Moreover, the aggregation process does not leak information about the signing members, ensuring strong privacy protection. Experimental results demonstrate that, when the ring size scales to 1024 members, our scheme outperforms the existing Dilithium-based logarithmic post-quantum ring signature scheme, with nearly 98.25% lower signing time, 98.90% lower verification time, and 99.81% smaller signature size. Full article
(This article belongs to the Special Issue Quantum Information Security)
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32 pages, 2407 KB  
Article
Post-Quantum Linkable Hash-Based Ring Signature Scheme for Off-Chain Payments in IoT
by Linlin He, Xiayi Zhou, Dongqin Cai, Xiao Hu and Shuanggen Liu
Sensors 2025, 25(14), 4484; https://doi.org/10.3390/s25144484 - 18 Jul 2025
Cited by 2 | Viewed by 2809
Abstract
Off-chain payments in the Internet of Things (IoT) enhance the efficiency and scalability of blockchain transactions. However, existing privacy mechanisms face challenges, such as the disclosure of payment channels and transaction traceability. Additionally, the rise of quantum computing threatens traditional public key cryptography, [...] Read more.
Off-chain payments in the Internet of Things (IoT) enhance the efficiency and scalability of blockchain transactions. However, existing privacy mechanisms face challenges, such as the disclosure of payment channels and transaction traceability. Additionally, the rise of quantum computing threatens traditional public key cryptography, making the development of post-quantum secure methods for privacy protection essential. This paper proposes a post-quantum ring signature scheme based on hash functions that can be applied to off-chain payments, enhancing both anonymity and linkability. The scheme is designed to resist quantum attacks through the use of hash-based signatures and to prevent double spending via its linkable properties. Furthermore, the paper introduces an improved Hash Time-Locked Contract (HTLC) that incorporates a Signature of Knowledge (SOK) to conceal the payment path and strengthen privacy protection. Security analysis and experimental evaluations demonstrate that the system strikes a favorable balance between privacy, computational efficiency, and security. Notably, the efficiency benefits of basic signature verification are particularly evident, offering new insights into privacy protection for post-quantum secure blockchain. Full article
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14 pages, 855 KB  
Article
Linkable Ring Signature for Privacy Protection in Blockchain-Enabled IIoT
by Fang Guo, Yulong Gao, Jian Jiang, Xueting Chen, Xiubo Chen and Zhengtao Jiang
Sensors 2025, 25(12), 3684; https://doi.org/10.3390/s25123684 - 12 Jun 2025
Cited by 2 | Viewed by 1893
Abstract
The blockchain-enabled industrial Internet of Things (IIoT) faces security threats such as quantum computing attacks and privacy disclosure. Targeting these issues, in this study, we design a new lattice-based linkable ring signature (LRS) scheme, which is used to achieve privacy protection for the [...] Read more.
The blockchain-enabled industrial Internet of Things (IIoT) faces security threats such as quantum computing attacks and privacy disclosure. Targeting these issues, in this study, we design a new lattice-based linkable ring signature (LRS) scheme, which is used to achieve privacy protection for the blockchain-enabled IIoT. Firstly, by using the trapdoor generation algorithm on the lattice and the rejection sampling lemma, we propose a new lattice-based LRS scheme with anti-quantum security and anonymity. Then, we introduce it into blockchain. Through the stealth address and key image technologies, we construct a privacy protection scheme for blockchain in the IIoT, and this LRS scheme protects identity privacy for users through anonymous blockchain. In addition, it also can resist the double spending attack with the linking user’s signature. Lastly, we provide a security analysis, and it is proven that our ring signature scheme satisfies correctness, anonymity, unforgeability and linkability. Compared with other similar schemes, the performance simulation indicates that our scheme’s public key and signature are shorter in size, and its computation overhead and time cost are lower. Consequently, our novel LRS scheme is more secure and practical, which provides privacy protection and anti-quantum security for the blockchain-enabled IIoT. Full article
(This article belongs to the Special Issue IoT Network Security (Second Edition))
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18 pages, 1860 KB  
Article
A Communication Scheme with Privacy Protection in V2V Power Transaction Based on Linkable Ring Signature
by Shaomin Zhang, Tao Xiao and Baoyi Wang
World Electr. Veh. J. 2025, 16(3), 141; https://doi.org/10.3390/wevj16030141 - 2 Mar 2025
Cited by 3 | Viewed by 1444
Abstract
The vehicle-to-vehicle (V2V) charging mode of charging stations solves the problem of users being unable to charge immediately due to the absence of charging piles during peak charging times. However, in blockchain-based V2V power transactions, attackers collect private information such as the payment [...] Read more.
The vehicle-to-vehicle (V2V) charging mode of charging stations solves the problem of users being unable to charge immediately due to the absence of charging piles during peak charging times. However, in blockchain-based V2V power transactions, attackers collect private information such as the payment address and transaction amount of electric vehicle owners through ledger information. This makes the relationship between electric vehicle owners and the charging behavior the object of inference attacks, resulting in user privacy disclosure and unfair trading. To solve these problems, we propose a communication scheme with privacy protection in V2V power transactions based on a linkable ring signature. We use a linkable ring signature algorithm to sign EV account addresses and payment information, ensuring the non-traceability of V2V transactions. In addition, we design a stealth address algorithm to avoid inferential attacks in V2V power transactions due to the exposure of the actual account address. The theoretical analysis proves the scheme’s security, and the experiment shows that the scheme has lower computing costs, so it is more suitable for V2V scenarios with limited computing resources. Full article
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31 pages, 2399 KB  
Article
A Privacy-Preserving Reputation Evaluation System with Compressed Revocable One-Time Ring Signature (CRORS)
by Xu Han and Dawei Zhang
Mathematics 2025, 13(1), 8; https://doi.org/10.3390/math13010008 - 24 Dec 2024
Viewed by 1320
Abstract
Reputation evaluation systems are vital for online platforms, helping users make informed choices based on the trustworthiness of products, services, or individuals. Ensuring privacy and trust in these systems is critical to allow users to provide feedback without fear of retribution or identity [...] Read more.
Reputation evaluation systems are vital for online platforms, helping users make informed choices based on the trustworthiness of products, services, or individuals. Ensuring privacy and trust in these systems is critical to allow users to provide feedback without fear of retribution or identity exposure. The ring signature (RS), enabling anonymous group-based signing, has garnered attention for building secure and private reputation systems. However, RS-based systems face significant challenges, including the inability to identify malicious users who repeatedly sign the same message, the lack of mechanisms to reveal identities involved in unlawful activities, and a linear growth in signature size with the number of ring members, which poses storage challenges for certain applications. Addressing these limitations, we propose a compressed revocable one-time ring signature (CRORS) scheme leveraging compressible proofs under the Diffie–Hellman Decision and Discrete Logarithm assumptions in the random oracle model. CRORS ensures anonymity, unforgeability, one-time linkability, non-slanderability, and revocability. The one-time linkability feature prevents double-signing, while revocability enables identity disclosure for regulatory enforcement. Additionally, the signature size is reduced to O(logn), significantly enhancing storage efficiency. These improvements make CRORS particularly suitable for blockchain-based reputation systems with ever-growing storage demands. Theoretical analysis validates its effectiveness and practicality. Full article
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19 pages, 755 KB  
Article
Post-Quantum Secure ID-Based (Threshold) Linkable Dual-Ring Signature and Its Application in Blockchain Transactions
by Wen Gao, Haoyuan Yao, Baodong Qin, Xiaoli Dong, Zhen Zhao and Jiayu Zeng
Cryptography 2024, 8(4), 48; https://doi.org/10.3390/cryptography8040048 - 28 Oct 2024
Cited by 4 | Viewed by 7172
Abstract
Ring signatures are widely used in e-voting, anonymous whistle-blowing systems, and blockchain transactions. However, due to the anonymity of ring signatures, a signer can sign the same message multiple times, potentially leading to repeated voting or double spending in blockchain transactions. To address [...] Read more.
Ring signatures are widely used in e-voting, anonymous whistle-blowing systems, and blockchain transactions. However, due to the anonymity of ring signatures, a signer can sign the same message multiple times, potentially leading to repeated voting or double spending in blockchain transactions. To address these issues in blockchain transactions, this work constructs an identity-based linkable ring signature scheme based on the hardness of the lattice-based Module Small Integer Solution (M-SIS) assumption, which is hard even for quantum attackers. The proposed scheme is proven to be anonymous, unforgeable, linkable, and nonslanderable in the random oracle model. Compared to existing identity-based linkable ring signature (IBLRS) schemes of linear size, our signature size is relatively smaller, and this advantage is more pronounced when the number of ring members is small. We provide approximate signature size data for ring members ranging from 2 to 2048. When the number of ring members is 16 (or 512. resp.), the signature size of our scheme is 11.40 KB (or 24.68 KB, respectively). Finally, a threshold extension is given as an additional scheme with specifications and security analysis. Full article
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18 pages, 2356 KB  
Article
ARS-Chain: A Blockchain-Based Anonymous Reputation-Sharing Framework for E-Commerce Platforms
by Yungui Chen, Li Feng, Qinglin Zhao, Liwei Tian and Lei Yang
Mathematics 2024, 12(10), 1480; https://doi.org/10.3390/math12101480 - 10 May 2024
Cited by 4 | Viewed by 3067
Abstract
E-commerce platforms incorporate reputation systems that allow buyers to rate sellers after transactions. However, existing reputation systems face challenges such as privacy leakage, linkability, and multiple rating attacks. The feedback data can inadvertently expose user information privacy because they reveal the buyers’ identities [...] Read more.
E-commerce platforms incorporate reputation systems that allow buyers to rate sellers after transactions. However, existing reputation systems face challenges such as privacy leakage, linkability, and multiple rating attacks. The feedback data can inadvertently expose user information privacy because they reveal the buyers’ identities and preferences, which deters a significant number of users from providing their ratings. Moreover, malicious actors can exploit data analysis and machine learning techniques to mine user privacy from the rating data, posing serious threats to user security and trust. This study introduces ARS-Chain, a pioneering and secure blockchain-driven anonymous reputation-sharing framework tailored for e-commerce platforms. The core of ARS-Chain is a dynamic ring addition mechanism with linkable ring signatures (LRS), where the number of LRS rings is dynamically added in alignment with the evolving purchase list, and LRS link tags are constructed with the LRS rings and item identifiers. Further, a consortium blockchain is introduced to store these anonymous ratings on e-commerce platforms. As a result, ARS-Chain ensures full anonymity while achieving cross-platform reputation sharing, making rating records unlinkable, and effectively countering multiple rating attacks. The experimental results confirm that ARS-Chain significantly enhances user information privacy protection while maintaining system performance, having an important impact on the construction of trust mechanisms for e-commerce platforms. Full article
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19 pages, 370 KB  
Article
A Universally Composable Linkable Ring Signature Supporting Stealth Addresses
by Xingkai Wang, Chunping Zhu and Zhen Liu
Mathematics 2024, 12(3), 491; https://doi.org/10.3390/math12030491 - 3 Feb 2024
Cited by 5 | Viewed by 2431
Abstract
The linkable ring signature supporting stealth addresses (SALRS) is a recently proposed cryptographic primitive, which is designed to comprehensively address the soundness and privacy requirements associated with concealing the identities of both the payer and payee in cryptocurrency transactions. However, concerns regarding the [...] Read more.
The linkable ring signature supporting stealth addresses (SALRS) is a recently proposed cryptographic primitive, which is designed to comprehensively address the soundness and privacy requirements associated with concealing the identities of both the payer and payee in cryptocurrency transactions. However, concerns regarding the scalability of SALRS have been underexplored. This becomes notably pertinent in intricate blockchain systems where multiple cryptographic primitives operate concurrently. To bridge this gap, our work revisited and formalized the ideal functionality of SALRS within the universal composability (UC) model. This encapsulates all correctness, soundness, and privacy considerations. Moreover, we established that the newly proposed UC-security property for SALRS is equivalent to the concurrent satisfaction of signer-unlinkability, signer-non-slanderability, signer-anonymity, and master-public-key-unlinkability. These properties represent the four crucial game-based security aspects of SALRS. This result ensures the ongoing security of previously presented SALRS constructions within the UC framework. It also underscores their adaptability for seamless integration with other UC-secure primitives in complex blockchain systems. Full article
(This article belongs to the Special Issue New Advances in Cryptographic Theory and Application)
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27 pages, 474 KB  
Article
A Lattice-Based Certificateless Traceable Ring Signature Scheme
by Junbin Liang, Jianye Huang, Qiong Huang, Liantao Lan and Man Ho Allen Au
Information 2023, 14(3), 160; https://doi.org/10.3390/info14030160 - 2 Mar 2023
Cited by 9 | Viewed by 4725
Abstract
A ring signature (RS) scheme enables a group member to sign messages on behalf of its group without revealing the definite signer identify, but this also leads to the abuse of anonymity by malicious signers, which can be prevented by traceable ring signatures [...] Read more.
A ring signature (RS) scheme enables a group member to sign messages on behalf of its group without revealing the definite signer identify, but this also leads to the abuse of anonymity by malicious signers, which can be prevented by traceable ring signatures (TRS). Up until that point, traceable ring signatures have been secure based on the difficult problem of number-theoretic (discrete logarithms or RSA), but since the advent of quantum computers, traditional traceable ring signatures may no longer be secure. Thus Feng proposed a lattice based TRS, which are resistant to attacks by quantum computers. However, that works did not tackle the certificate management problem. To close this gap, a quantum-resistant certificateless TRS scheme was proposed in the study. To the best of our knowledge, this is the first lattice based certificateless TRS. In detail, a specific TRS scheme was combined with the lattice-based certificateless signature technology to solve the certificate management problem while avoid key escrow problem. Additionally, a better zero-knowledge protocol is used to improve the computational efficiency of the scheme, and by reducing the soundness error of the zero-knowledge protocol, the number of runs of the zero-knowledge protocol is reduced, so that the communication overhead of the scheme is reduced. Under random oracle model, the proposed scheme satisfies tag-linkability, anonymity, exculpability and is secure based on the SIS problem and the DLWE problem. In conclusion, the proposed scheme is more practical and promising in e-voting. Full article
(This article belongs to the Section Information Security and Privacy)
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18 pages, 445 KB  
Article
AeRChain: An Anonymous and Efficient Redactable Blockchain Scheme Based on Proof-of-Work
by Bin Luo and Changlin Yang
Entropy 2023, 25(2), 270; https://doi.org/10.3390/e25020270 - 1 Feb 2023
Cited by 2 | Viewed by 3193
Abstract
Redactable Blockchain aims to ensure the immutability of the data of most applications and provide authorized mutability for some specific applications, such as for removing illegal content from blockchains. However, the existing Redactable Blockchains lack redacting efficiency and protection of the identity information [...] Read more.
Redactable Blockchain aims to ensure the immutability of the data of most applications and provide authorized mutability for some specific applications, such as for removing illegal content from blockchains. However, the existing Redactable Blockchains lack redacting efficiency and protection of the identity information of voters participating in the redacting consensus. To fill this gap, this paper presents an anonymous and efficient redactable blockchain scheme based on Proof-of-Work (PoW) in the permissionless setting, called “AeRChain”. Specifically, the paper first presents an improved Back’s Linkable Spontaneous Anonymous Group (bLSAG) signatures scheme and uses the improved scheme to hide the identity of blockchain voters. Then, in order to accelerate the achievement of redacting consensus, it introduces a moderate puzzle with variable target values for selecting voters and a voting weight function for assigning different weights to puzzles with different target values. The experimental results show that the present scheme can achieve efficient anonymous redacting consensus with low overhead and reduce communication traffic. Full article
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12 pages, 295 KB  
Article
A Novel Linkable Ring Signature on Ideal Lattices
by Chengtang Cao, Lin You and Gengran Hu
Entropy 2023, 25(2), 237; https://doi.org/10.3390/e25020237 - 28 Jan 2023
Cited by 9 | Viewed by 3120
Abstract
In this paper, a novel linkable ring signature scheme is constructed. The hash value of the public key in the ring and the signer’s private key are based on random numbers. This setting makes it unnecessary to set the linkable label separately for [...] Read more.
In this paper, a novel linkable ring signature scheme is constructed. The hash value of the public key in the ring and the signer’s private key are based on random numbers. This setting makes it unnecessary to set the linkable label separately for our constructed scheme. When judging the linkability, it is necessary to determine whether the number of the intersections of the two sets reaches the threshold related to the number of the ring members. In addition, under the random oracle model, the unforgeability is reduced to the SVPγ problem. The anonymity is proved based on the definition of statistical distance and its properties. Full article
(This article belongs to the Special Issue Information Security and Privacy: From IoT to IoV)
22 pages, 352 KB  
Article
Forward-Secure Linkable Ring Signatures from Bilinear Maps
by Xavier Boyen and Thomas Haines
Cryptography 2018, 2(4), 35; https://doi.org/10.3390/cryptography2040035 - 8 Nov 2018
Cited by 10 | Viewed by 7249
Abstract
We present the first linkable ring signature scheme with both unconditional anonymity and forward-secure key update: a powerful tool which has direct applications in elegantly addressing a number of simultaneous constraints in remote electronic voting. We propose a comprehensive security model, and construct [...] Read more.
We present the first linkable ring signature scheme with both unconditional anonymity and forward-secure key update: a powerful tool which has direct applications in elegantly addressing a number of simultaneous constraints in remote electronic voting. We propose a comprehensive security model, and construct a scheme based on the hardness of finding discrete logarithms, and (for forward security) inverting bilinear or multilinear maps of moderate degree to match the time granularity of forward security. We prove efficient security reductions—which, of independent interest, apply to, and are much tighter than, linkable ring signatures without forward security, thereby vastly improving the provable security of these legacy schemes. If efficient multilinear maps should ever admit a secure realisation, our contribution would elegantly address a number of problems heretofore unsolved in the important application of (multi-election) practical Internet voting. Even if multilinear maps are never obtained, our minimal two-epoch construction instantiated from bilinear maps can be combinatorially boosted to synthesise a polynomial time granularity, which would be sufficient for Internet voting and more. Full article
(This article belongs to the Special Issue Public Key Cryptography)
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