| Secure multi-party computing and data aggregation technologies play an important role in the fields of privacy protection and data sharing.As we all know,Academician Yao Qizhi,the winner of the Turing Award,proposed the confusing circuit technology to solve the famous millionaire’s problem,which opened a milestone in the research of secure multi-party computing technology.Among them,data aggregation technology and multi-user data interaction are issues that are currently focused on by the industry,such as the aggregation of power readings in smart grids and the interactive sharing of government data.In the process of data aggregation,it is a challenging problem to provide flexible and efficient data aggregation while maintaining data integrity and data privacy.More specifically,it is important to analyze the network security issues during the data aggregation process,and to explore how the number of smart devices and the number of home area networks affect the communication and computing overhead.Nowadays,the security requirements are getting higher and higher with the progress of computing power.For example,the birth of quantum computers and quantum algorithms has had a certain impact on classical cryptography,and lattice homomorphic cryptography is considered to be an additive homomorphic cryptography that can resist quantum computing attacks.Therefore,in order to achieve the post-quantum security of data aggregation,we have to use lattice-based and other quantum-resistant cryptosystems as encryption schemes,but the existing lattice-based data aggregation schemes are inefficient and slow.In addition,the current smart city network scale is huge,the number of electric meters is in the millions,the efficiency of adding and deleting network members and data aggregation is low,and once there is an aggregator strike,the network system may not be able to operate normally,so that the solution cannot be decrypted normally,the system fault tolerance is poor.The common data aggregation.However,in the general multi-user data sharing scenario,the existing problem is that the protection of the federated learning process is too weak,and the highly secure fully homomorphic encryption technology has extremely low efficiency,excessive number of interactions,and fast ciphertext expansion,The polynomial degree that can be calculated is low,and CCA security cannot be achieved.Nowadays,the popular CKKS algorithm of federated learning has been pointed out by the Microsoft team to have certain loopholes.To sum up,few existing schemes can achieve security properties such as lightweight and fault tolerance at the same time.Therefore,efficient and secure fully homomorphic encryption schemes are needed.All in all,it is very difficult to balance computational complexity,communication computing overhead,and security.Therefore,some general solutions must be designed according to different scenarios.Starting from the above background and problems,this paper classifies the smart grid according to whether there is TA,the scale of the network,and the complexity of the operation,and completes the small and mediumsized network under the TA condition under the premise of additive aggregation,and the medium and large network under the TA condition.Non-large networks without TA,large networks with TA,and generalized scenarios of full aggregation.The main contributions and innovations of the paper are as follows:·Post-quantum privacy data aggregation scheme on small and medium-sized smart gridIn this part of work,this paper modifies the lattice homomorphic cryptographic algorithm based on LWE,and proposes an additive data aggregation scheme under the general scenario of small and medium-sized smart grid.The scheme is applicable to home networks and small office networks.Theoretical analysis and experimental results show that this scheme has better security and lower communication and computation cost than previous work.·Post-quantum privacy data aggregation scheme on medium and large smart gridIn this part of the work,this paper proposes a HASBRE aggregation signature that can be batch verified and data sharded,and on this basis,proposes a data aggregation scheme with a three-level structure for large and medium-sized smart grids.This scheme is suitable for community power grids,and has better security and lower communication and computation overhead compared with previous work.·Post-quantum privacy data aggregation scheme under malicious nodes on smart gridIn this part of the work,this paper proposes a post quantum privacy protection technology scheme without third-party trusted institutions and with malicious nodes,which is applicable to such scenes in the wild where it is difficult to install thirdparty trusted institutions and "base stations" with malicious purposes.·Lightweight data addition and aggregation scheme on larger smart gridIn this part of the work,this paper proposes a privacy protection data aggregation scheme with strong fault tolerance,which is applicable to small smart cities with millions of users and other scenarios,with lower communication and computing costs and better hierarchical scalability.·Key encapsulation technology and privacy protection scheme based on postquantum cryptography in general scenariosIn this part of the work,for multiple private data sharing fields where data and models are separated,based on Shamir quantum signature,modified lattice homomorphic cryptography and the new technology of the laboratory,this paper designs an efficient and secure privacy computing scheme for full computation,which can efficiently and securely complete the approximate numerical computation on the Wolfram mathematical platform.With good adaptability,this scheme is efficient,secure and low bandwidth,and can be used on the financial risk control platform E-commerce joint analysis platform and government data sharing platform. |