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Secure numerical simulations using fully homomorphic encryption

delete2025-09-19
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A
Arseniy Kholod
Y
Yuriy Polyakov
M
Michael Schlottke‐Lakemper *
DOI:10.1016/j.cpc.2025.109868delete
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Abstract

Abstract

En 中文
• Develop algorithms for using fully homomorphic encryption in computational science. • Implement secure finite difference methods with the CKKS scheme. • Analyze accuracy and performance of CKKS operations within the OpenFHE library. • Perform cryptographically secured numerical simulations of PDEs. • Introduce Julia packages OpenFHE.jl and SecureArithmetic.jl.
Keywords:
65-04
65M06
65Y99
Secure numerical simulations
Fully homomorphic encryption
CKKS scheme
OpenFHE
Julia programming language
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Key information extracted from the uploaded paper, including a brief overview, abstract, background, key highlights, visual analysis, and future outlook.

Journal

Computer Physics Communications cover
Computer Physics Communications
IF:
3.4
Papers:
1.2W
Citations:
3.7W

Organization

U
University of Augsburg
Scholars:
3.6K
Papers: 3.0K
Citations: 5.2K
D
duality technologies, inc.
Scholars:
1
Papers: 1
Citations: 0