|
3 | 3 | [](https://opensource.org/licenses/MIT) |
4 | 4 | [](https://doi.org/10.5281/zenodo.14003844) |
5 | 5 | [](https://arxiv.org/abs/2410.21824) |
| 6 | +[](https://doi.org/10.1016/j.cpc.2025.109868) |
6 | 7 |
|
7 | 8 | This repository contains information and code to reproduce the results presented in the |
8 | 9 | article |
9 | 10 | ```bibtex |
10 | | -@online{kholod2024secure, |
| 11 | +@article{kholod2026secure, |
11 | 12 | title={{S}ecure numerical simulations using fully homomorphic encryption}, |
12 | | - author={Kholod, Arseniy and Polyakov, Yuriy and Schlottke-Lakemper, Michael}, |
13 | | - year={2024}, |
14 | | - month={10}, |
15 | | - doi={10.48550/arXiv.2410.21824}, |
| 13 | + author={Arseniy Kholod and Yuriy Polyakov and Michael Schlottke-Lakemper}, |
| 14 | + journal = {Computer Physics Communications}, |
| 15 | + volume = {318}, |
| 16 | + pages = {109868}, |
| 17 | + year={2026}, |
| 18 | + doi={10.1016/j.cpc.2025.109868}, |
16 | 19 | eprint={2410.21824}, |
17 | 20 | eprinttype={arxiv}, |
18 | 21 | eprintclass={math.NA} |
@@ -41,7 +44,7 @@ environments like public cloud infrastructures. Fully homomorphic encryption (FH |
41 | 44 | promising solution for achieving data privacy by enabling secure computations directly on |
42 | 45 | encrypted data. Aimed at computational scientists, this work explores the viability of |
43 | 46 | FHE-based, privacy-preserving numerical simulations of partial differential equations. The |
44 | | -presented approach utilizes the CKKS scheme, a widely used FHE method for approximate |
| 47 | +presented approach utilizes the Cheon-Kim-Kim-Song (CKKS) scheme, a widely used FHE method for approximate |
45 | 48 | arithmetic on real numbers. Two Julia packages are introduced, OpenFHE.jl and |
46 | 49 | SecureArithmetic.jl, which wrap the OpenFHE C++ library to provide a convenient interface |
47 | 50 | for secure arithmetic operations. With these tools, the accuracy and performance of key FHE |
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