Performance-aware Scale Analysis with Reserve for Homomorphic Encryption

Yongwoo Lee, Seonyoung Cheon, Dongkwan Kim, Dongyoon Lee, Hanjun Kim · 2024

Thanks to the computation ability on encrypted data and the efficient fixed-point execution, the RNS-CKKS fully homo-morphic encryption (FHE) scheme is a promising solution for privacy-preserving machine learning services. However, writing an efficient RNS-CKKS program is challenging due to its manual scale management requirement. Each cipher-text has a scale value with its maximum scale capacity. Since each RNS-CKKS multiplication increases the scale, programmers should properly rescale a ciphertext by reducing the scale and capacity together. Existing compilers reduce the programming burden by automatically analyzing and managing the scales of ciphertexts, but they either conservatively rescale ciphertexts and thus give up further optimization opportunities, or require time-consuming scale management space exploration.

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