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Privacy-preserving and Verifiable Federated Learning with weighted average aggregation in edge computing

Journal of Network and Computer Applications 2025年 240卷

作者： Niu, Shufen Kong, Weiying Chen, Lihua Zhou, Xusheng Wang, Ning College of Computer Science and Engineering Northwest Normal University Lanzhou730070 China Key Laboratory of Cryptography and Data Analytics Northwest Normal University Lanzhou730070 China

In Federated Learning (FL), clients collaborate with edge and cloud servers to train a global model without sharing raw data. However, cloud servers cannot be fully trusted due to the risk of malicious servers forging aggregation results to compromise model updates. Consequently, secure aggregation of local gradients and verification of the integrity of global parameters are crucial. While existing methods ensure the verifiability of aggregation results, few address the trade-off between verification and efficiency in edge computing. To bridge this gap, we propose a privacy-preserving and verifiable weighted averaging aggregation scheme for FL within a cloud–edge collaborative architecture. Our scheme employs a masking technique to compute the weighted gradients and data size of the clients, followed by Lagrange interpolation at the edge servers, and gradient aggregation by dual cloud servers. In this design, the two cloud servers cannot reconstruct a client's local gradients, as each only receives partial interpolation points of the Lagrange polynomial, ensuring client privacy. Additionally, the edge servers can verify the correctness of the aggregation results using cross-verification, providing an efficient method with low computational overhead, and performance evaluations show that the masking overhead is independent of the number of clients. Security analysis shows the scheme guarantees secure, efficient privacy protection and verification. © 2025 Elsevier Ltd

关键词： Lagrange multipliers

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Electricity Carbon Quota Trading Scheme based on Certificateless Signature and Blockchain

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Computer Modeling in Engineering & Sciences 2024年第2期138卷 1695-1712页

作者： Xiaodong Yang Runze Diao Tao Liu Haoqi Wen Caifen Wang College of Computer Science and Engineering Northwest Normal UniversityLanzhou730070China Institute of China TelecomWanwei China TelecomWanwei Information Technology Co.Ltd.Lanzhou730030China College of Big Data and Internet Shenzhen Technology UniversityShenzhen518118China Key Laboratory of Cryptography and Data Analytics Northwest Normal UniversityLanzhou730070China

The carbon tradingmarket can promote“carbon peaking”and“carbon neutrality”at low cost,but carbon emission quotas face attacks such as data forgery,tampering,counterfeiting,and replay in the electricity trading *** signatures are a new cryptographic technology that can address traditional cryptography’s general essential certificate requirements and avoid the problem of crucial escrowbased on identity ***,most certificateless signatures still suffer fromvarious security *** present a secure and efficient certificateless signing scheme by examining the security of existing certificateless signature *** ensure the integrity and verifiability of electricity carbon quota trading,we propose an electricity carbon quota trading scheme based on a certificateless signature and *** scheme utilizes certificateless signatures to ensure the validity and nonrepudiation of transactions and adopts blockchain technology to achieve immutability and traceability in electricity carbon quota *** addition,validating electricity carbon quota transactions does not require time-consuming bilinear pairing *** results of the analysis indicate that our scheme meets existential unforgeability under adaptive selective message attacks,offers conditional identity privacy protection,resists replay attacks,and demonstrates high computing and communication performance.

关键词： Electricity carbon trading certificateless signature blockchain forgery attack carbon quota

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On the second-order zero differential properties of several classes of power functions over finite fields

arXiv

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arXiv 2024年

作者： Zhou, Huan Du, Xiaoni Qiao, Xingbin Yuan, Wenping College of Mathematics and Statistics Northwest Normal University Lanzhou730070 China Key Laboratory of Cryptography and Data Analytics Northwest Normal University Lanzhou730070 China Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics Northwest Normal University Lanzhou730070 China

Feistel Boomerang Connectivity Table (FBCT) is an important crypt- analytic technique on analysing the resistance of the Feistel network-based ciphers to power attacks such as differential and boomerang attacks. Moreover, the coefficients of FBCT are closely related to the second-order zero differential spectra of the func- tion F(x) over the finite fields with even characteristic and the Feistel boomerang uniformity is the second-order zero differential uniformity of F(x). In this paper, by computing the number of solutions of specific equations over finite fields, we deter- mine explicitly the second-order zero differential spectra of power functions x2m+3and x2m+5with m > 2 being a positive integer over finite field with even characteristic, and xpk+1 with integer k ≥ 1 over finite field with odd characteristic p. It is worth noting that x2m+3is a permutation over F2n and only when m is odd, x2m+5is a permutation over F2n, where integer n = 2m. As a byproduct, we find F(x) = x4 is a PN and second-order zero differentially 0-uniform function over F3n with odd n. The computation of these entries and the cardinalities in each table aimed to facilitate the analysis of differential and boomerang cryptanalysis of S-boxes when studying distinguishers and trails. Copyright © 2024, The Authors. All rights reserved.

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The c-differential properties of a class of power functions

arXiv

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arXiv 2023年

作者： Zhou, Huan Du, Xiaoni Yuan, Wenping Qiao, Xingbin College of Mathematics and Statistics Northwest Normal University Lanzhou730070 China Key Laboratory of Cryptography and Data Analytics Northwest Normal University Lanzhou730070 China Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics Northwest Normal University Lanzhou730070 China

Power functions with low c-differential uniformity have been widely studied not only because of their strong resistance to multiplicative differential attacks, but also low implementation cost in hardware. Furthermore, the c-differential spectrum of a function gives a more precise characterization of its c-differential properties. Let (Equation Presented) be a power function over the finite field Fpn, where p 6= 3 is an odd prime and n is a positive integer. In this paper, for all primes p 6= 3, by investigating certain character sums with regard to elliptic curves and computing the number of solutions of a system of equations over Fpn, we determine explicitly the (−1)-differential spectrum of f with a unified approach. We show that if pn ≡ 3 (mod 4), then f is a differentially (−1,3)-uniform function except for pn ∈ {7,19,23} where f is an APcN function, and if pn ≡ 1 (mod 4), the (−1)-differential uniformity of f is equal to 4. In addition, an upper bound of the c-differential uniformity of f is also given. Copyright © 2023, The Authors. All rights reserved.

关键词： Geometry

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