Abstract
Matrix multiplication is a very basic computation task in many scientific algorithms. Recently Lei et al. proposed an interesting outsource protocol for matrix multiplication in cloud computing. Their proposal is very efficient, however we find that the proposal is not so secure from the view of cryptography. Concretely, the cloud can easily distinguish which matrix has been outsourced from two candidate matrixes. That is, their proposal does not satisfy the indistinguishable property under chosen plaintext attack. Finally we give an improved outsource protocol for matrix multiplication in cloud computing.
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Acknowledgements
This work is supported by National Cryptography Development Fund of China Under Grants No. MMJJ20170112, National Natural Science Foundation of China (Grant Nos. 61772550, 61572521, U1636114, 61402531), National Key Research and Development Program of China Under Grants No. 2017YFB0802000, Natural Science Basic Research Plan in Shaanxi Province of china (Grant Nos. 2018JM6028, 2016JQ6037) and Guangxi Key Laboratory of Cryptography and Information Security (No. GCIS201610).
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An Wang, X., Zhu, S., Sangaiah, A.K., Xue, S., Cao, Y. (2019). More Secure Outsource Protocol for Matrix Multiplication in Cloud Computing. In: Xhafa, F., Leu, FY., Ficco, M., Yang, CT. (eds) Advances on P2P, Parallel, Grid, Cloud and Internet Computing. 3PGCIC 2018. Lecture Notes on Data Engineering and Communications Technologies, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-030-02607-3_26
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DOI: https://doi.org/10.1007/978-3-030-02607-3_26
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