Abstract
In 2011, Naehrig et al. proposed a RLWE-based Homomorphic Encryption scheme. In this paper, we designed a new scheme which combined with the batch technique. Concretely, the technique packed multiple “plaintext slots” into a ciphertext by using the Chinese Remainder Theorem, and then performed homomorphic operations on it. Considering the exponential growth of the noise in each multiplication operation, we used the key switching and modulus switching technique to reduce the noise size in ciphertext, ensuring the correct decryption and the next homomorphic computation. In particular, We can encrypt \( {\text{O}}\left( {n\lambda } \right) \) plaintexts in the encryption process, improving the efficiency of \( \lambda \) times compared to the original scheme. Finally, we analyzed the security and parameters of the scheme. It was proven that our scheme is CPA security.
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Acknowledgments
This work is supported by the National Nature Science Foundation of China under Grand No. 61601515, and Nature Science Foundation of Henan Province under Grand No. 162300410332.
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Li, M., Hu, B. (2018). A New Fully Homomorphic Encryption Scheme on Batch Technique. In: Sun, X., Pan, Z., Bertino, E. (eds) Cloud Computing and Security. ICCCS 2018. Lecture Notes in Computer Science(), vol 11063. Springer, Cham. https://doi.org/10.1007/978-3-030-00006-6_14
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