Zhang Dejun, Li Jian, Wang Naile, et al. Lightweight quantum-resistant distributed consensus scheme for blockchain[J]. Chinese Journal of Network and Information Security, 2026, 12(3): 93-109.
Zhang Dejun, Li Jian, Wang Naile, et al. Lightweight quantum-resistant distributed consensus scheme for blockchain[J]. Chinese Journal of Network and Information Security, 2026, 12(3): 93-109.DOI: 10.11959/j.issn.2096-109x.AQ25268.
Lightweight quantum-resistant distributed consensus scheme for blockchain
现有抗量子算法存在计算复杂度高、存储开销大的问题,且当前区块链系统在多节点环境下共识吞吐量压力显著。针对上述问题,提出了面向区块链的轻量级抗量子分布式共识方案,通过改进基于哈希的安全后量子互联网通信签名增强版(secure post-quantum hash-based internet communication signatures plus
Existing post-quantum cryptographic algorithms have been confronted with high computational complexity and large storage overhead
while current blockchain systems have suffered from significant consensus throughput pressure in multi-node environments. To address these issues
a lightweight post-quantum distributed consensus scheme for blockchain systems was proposed in this work. The scheme was constructed by improving the FORS structure in the SPHINCS+ post-quantum signature algorithm
through which the signature size and storage burden were reduced
and by designing an improved WOTS+ structure to decrease the computational complexity of the algorithm. Furthermore
a grouped PBFT consensus mechanism was proposed
and a primary node election mechanism was designed by integrating a credit-based scoring strategy with a weighted random forest model
thereby reducing communication overhead and improving network reliability and throughput. Experimental results demonstrated that
compared with the traditional SPHINCS+ post-quantum scheme and improved PBFT algorithms
the proposed scheme achieved improvements of 25% and 28% in average signature verification rate and consensus throughput
respectively
while the signature storage pressure and consensus latency were reduced by approximately 31% and 25%. These results indicate that the proposed scheme effectively enhances signature and verification efficiency as well as overall system throughput of blockchain systems
while reducing consensus latency.
关键词
Keywords
references
Gharavi H , Granjal J , Monteiro E . Post-quantum blockchain security for the internet of things: survey and research directions [J ] . IEEE Communications Surveys Tutorials , 2024 , 26 ( 3 ): 1748 - 1774 .
Hossain Faruk M J , Tahora S , Tasnim M , et al . A review of quantum cybersecurity: threats, risks and opportunities [C ] // Proceedings of the 2022 1st International Conference on AI in Cybersecurity (ICAIC) . Piscataway : IEEE Press , 2022 : 1 - 8 .
Zhang Z Q , Zhu Q C , Wang Z W . Robust schnorr-based subgroup multi-signature scheme [J ] . Chinese Journal of Network and Information Security , 2024 , 10 ( 4 ): 132 - 142 .
Li J G , Fang C . Designated verifier aggregate signature scheme based on SM9 [J ] . Chinese Journal of Network and Information Security , 2024 , 10 ( 4 ): 63 - 71 .
Diffie W , Hellman M . New directions in cryptography [J ] . IEEE Transactions on Information Theory , 1976 , 22 ( 6 ): 644 - 654 .
Lamport L . Constructing digital signatures from a one way function [R ] . 1979 .
Merkle R C . Secrecy, authentication, and public key systems [D ] . Stanford : Stanford University , 1979 .
Merkle R C . A certified digital signature [C ] // Advances in Cryptology-CRYPTO’ 89 Proceedings . New York, NY : Springer , 1990 : 218 - 238 .
Reyzin L , Reyzin N . Better than BiBa: short one-time signatures with fast signing and verifying [C ] // Information Security and Privacy . Berlin, Heidelberg : Springer , 2002 : 144 - 153 .
Bernstein D J , Hopwood D , Hülsing A , et al . SPHINCS: practical stateless hash-based signatures [C ] // Advances in Cryptology -- EUROCRYPT 2015 . Berlin, Heidelberg : Springer , 2015 : 368 - 397 .
Bernstein D J , Hülsing A , Kölbl S , et al . The SPHINCS+ signature framework [C ] // Proceedings of the 2019 ACM SIGSAC Conference on Computer and Communications Security . New York : ACM , 2019 : 2129 - 2146 .
Wang X A , Liu H , Jiang W W , et al . A SM3 hash-based post-quantum signature scheme and its application to food source authentication [J ] . IEEE Internet of Things Journal , 2025 , 12 ( 23 ): 49233 - 49247 .
Shahid F , Khan A , Malik S U R , et al . WOTS-S: a quantum secure compact signature scheme for distributed ledger [J ] . Information Sciences , 2020 , 539 : 229 - 249 .
Zhang K Y , Cui H R , Yu Y . SPHINCS-α: A compact stateless hash-based signature scheme [Z ] . 2022 .
Crain T , Gramoli V , Larrea M , et al . DBFT: efficient leaderless Byzantine consensus and its application to blockchains [C ] // Proceedings of the 2018 IEEE 17th International Symposium on Network Computing and Applications (NCA) . Piscataway : IEEE Press , 2018 : 1 - 8 .
Sun Y Y , Yan B W , Yao Y , et al . DT-DPoS: a delegated proof of stake consensus algorithm with dynamic trust [J ] . Procedia Computer Science , 2021 , 187 : 371 - 376 .
Fu J H , Zhou W H , Xu M X , et al . New public blockchain protocol based on sharding and aggregate signatures [J ] . Journal of High Speed Networks , 2021 , 27 ( 1 ): 83 - 99 .
Yuan H T , Li F . Double layer consensus algorithm based on improved raft consensus algorithm and PBFT [J ] . Application Research of Computers , 2024 , 41 ( 5 ): 1314 - 1320 .
Zhu J , Lu C F , Li J J , et al . Secure consensus control on multi-agent systems based on improved PBFT and raft blockchain consensus algorithms [J ] . IEEE/CAA Journal of Automatica Sinica , 2025 , 12 ( 7 ): 1407 - 1417 .
Zhong W , Feng W L , Huang M X , et al . ST-PBFT: an optimized PBFT consensus algorithm for intellectual property transaction scenarios [J ] . Electronics , 2023 , 12 ( 2 ): 325 .
Ji Y L , Zou Y , Wang G , et al . An improved PBFT consensus algorithm based on reputation grading and voting in IoT environment [C ] // Proceedings of the 2024 IEEE International Symposium on Parallel and Distributed Processing with Applications (ISPA) . Piscataway : IEEE Press , 2025 : 2121 - 2128 .
Mu Z Q , Liu Y Y , Yang Y L . A large-scale group decision making model with a clustering algorithm based on a locality sensitive hash function [J ] . Engineering Applications of Artificial Intelligence , 2025 , 140 : 109697 .
Ding J W , Wu X , Tian J , et al . RE-BPFT: an improved PBFT consensus algorithm for consortium blockchain based on node credibility and ID3-based classification [J ] . Applied Sciences , 2025 , 15 ( 13 ): 7591 .
Chang Y X , Wang Q , Li Q L , et al . Performance and reliability analysis for PBFT-based blockchain systems with repairable voting nodes [J ] . IEEE Transactions on Network and Service Management , 2024 , 21 ( 4 ): 4039 - 4060 .
Yao Z Y , Fang Y H , Pan H , et al . A secure and highly efficient blockchain PBFT consensus algorithm for microgrid power trading [J ] . Scientific Reports , 2024 , 14 : 8300 .
Liu X , Fan X , Niu B N , et al . 5G-practical Byzantine fault tolerance: an improved PBFT consensus algorithm for the 5G network [J ] . Information , 2025 , 16 ( 3 ): 202 .
Xiao J , Luo T , Li C Q , et al . CE-PBFT: a high availability consensus algorithm for large-scale consortium blockchain [J ] . Journal of King Saud University - Computer and Information Sciences , 2024 , 36 ( 2 ): 101957 .
Ring adaptor signature scheme based on SM2 digital signature algorithm
Survey of decentralized public key infrastructure
Chameleon hash function based on SM3 and its applications
Blockchain smart contract vulnerability detection based on GR algorithm
Design of reputation-driven blockchain sharding consensus and incentive mechanism
Related Author
Xu Xinyue
Xu Shujiang
Wang Lianhai
Zhang Shuhui
Shao Wei
Wang Qizheng
SHI Chaoming
YAN Zheng
Related Institution
Shandong Provincial Key Laboratory of Industrial Network and Information System Security, Shandong Fundamental Research Center for Computer Science
Key Laboratory of Computing Power Network and Information Security, Ministry of Education, Shandong Computer Science Center (National Supercomputer Center in Jinan), Qilu University of Technology (Shandong Academy of Sciences)