- 期刊
A Note on Two Outsourcing Algorithms of Modular Exponentiations
摘要
Recently, Ren et al. presented two algorithms for outsourcing modular exponentiations [IEEE Transactions on Cloud Computing, 9(1):145-154, 2021 ], which aim to make the remote cloud server help resource-constrained clients securely perform expensive modular exponentiations in cryptography. In this note, we show their algorithms are incorrect due to the misuse of the Euler theorem in the verification step. Moreover, we suggest a remedial measure for the two-server algorithm.
延伸閱讀
- Liu, L., & Cheng, B. (2022). A Note on One Outsourcing Algorithm for Modular Exponentiations. International Journal of Network Security, 24(6), 1076-1080. https://doi.org/10.6633/IJNS.202211_24(6).12
- Bialecki, A., Haguet, E., & Turinici, G. (2014). Existence of an Equilibrium for Lower Semicontinuous Information Acquisition Functions. Journal of Applied Mathematics, 2014(), 1013-1023-193. https://doi.org/10.1155/2014/268427
- Liu, L., & Li, Y. (2022). Analysis of Two Outsourcing Algorithms for Solving Quadratic Congruence. International Journal of Network Security, 24(4), 612-616. https://doi.org/10.6633/IJNS.202207_24(4).03
- Liu, L., & Liu, Y. (2020). A Note on One Outsourcing Scheme for Large-scale Convex Separable Programming. International Journal of Electronics and Information Engineering, 12(4), 155-161. https://doi.org/10.6636/IJEIE.202012_12(4).02
- Chen, H. L. (2010). Approximation Algorithms for Capacitated Domination Problem [master's thesis, National Taiwan University]. Airiti Library. https://doi.org/10.6342/NTU.2010.01134