Welcome to the resource topic for 2024/153
Title:
Revisiting the Slot-to-Coefficient Transformation for BGV and BFV
Authors: Robin Geelen
Abstract:Numerous algorithms in homomorphic encryption require an operation that moves the slots of a ciphertext to the coefficients of a different ciphertext. We describe an FFT-like method for decomposing this slot-to-coefficient transformation (and its inverse) for BGV and BFV. The proposed method is specific to power-of-two cyclotomic rings and can handle both fully and sparsely packed slots. Previously, such a method was only known for non-power-of-two cyclotomic rings.
Our algorithm admits more freedom in the complexity-depth trade-off than prior works. Moreover, it brings down the computational complexity of the slot-to-coefficient transformation from a linear to a logarithmic number of FHE operations in the best case, which is shown via a detailed complexity analysis. We also provide a proof-of-concept implementation in the Magma bootstrapping library.
ePrint: https://eprint.iacr.org/2024/153
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .