High-precision RNS-CKKS on fixed but smaller word-size architectures: theory and application

Rashmi Agrawal, Jung Ho Ahn, Flavio Enrico Bergamaschi, Ro Cammarota, Jung Hee Cheon, Fillipe D. M. de Souza, Huijing Gong, Min-Sik Kang, Duhyeong Kim, Jongmin Kim, Hubert de Lassus, Jai Hyun Park, Michael J. Steiner, Wen Wang · 2023

A prevalent issue in the residue number system (RNS) variant of the Cheon-Kim-Kim-Song (CKKS) homomorphic encryption (HE) scheme is the challenge of efficiently achieving high precision on hardware architectures with a fixed, yet smaller, word-size of bit length W , especially when the scaling factor satisfies log Δ > W

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