Accelerating HE Operations from Key Decomposition Technique
- Authors
- Kim, Miran; Lee, Dongwon; Seo, Jinyeong; Song, Yongsoo
- Issue Date
- Aug-2023
- Publisher
- Springer Science and Business Media Deutschland GmbH
- Keywords
- External Product; Gadget Decomposition; Homomorphic Encryption
- Citation
- Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), v.14084 LNCS, pp.70 - 92
- Indexed
- SCOPUS
- Journal Title
- Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
- Volume
- 14084 LNCS
- Start Page
- 70
- End Page
- 92
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/192209
- DOI
- 10.1007/978-3-031-38551-3_3
- ISSN
- 0302-9743
- Abstract
- Lattice-based homomorphic encryption (HE) schemes are based on the noisy encryption technique, where plaintexts are masked with some random noise for security. Recent advanced HE schemes rely on a decomposition technique to manage the growth of noise, which involves a conversion of a ciphertext entry into a short vector followed by multiplication with an evaluation key. Prior to this work, the decomposition procedure turns out to be the most time-consuming part, as it requires discrete Fourier transforms (DFTs) over the base ring for efficient polynomial arithmetic. In this paper, an expensive decomposition operation over a large modulus is replaced with relatively cheap operations over a ring of integers with a small bound. Notably, the cost of DFTs is reduced from quadratic to linear with the level of a ciphertext without any extra noise growth. We demonstrate the implication of our approach by applying it to the key-switching procedure. Our experiments show that the new key-switching method achieves a speedup of 1.2–2.3 or 2.1–3.3 times over the previous method, when the dimension of a base ring is 215 or 216, respectively.
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