تقرير
Ring-LWE based encrypted controller with unlimited number of recursive multiplications and effect of error growth
| العنوان: | Ring-LWE based encrypted controller with unlimited number of recursive multiplications and effect of error growth |
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| المؤلفون: | Jang, Yeongjun, Lee, Joowon, Min, Seonhong, Kwak, Hyesun, Kim, Junsoo, Song, Yongsoo |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science |
| مصطلحات موضوعية: | Electrical Engineering and Systems Science - Systems and Control |
| الوصف: | In this paper, we propose a method to encrypt linear dynamic controllers that enables an unlimited number of recursive homomorphic multiplications on a Ring Learning With Errors (Ring-LWE) based cryptosystem without bootstrapping. Unlike LWE based schemes, where a scalar error is injected during encryption for security, Ring-LWE based schemes are based on polynomial rings and inject error as a polynomial having multiple error coefficients. Such errors accumulate under recursive homomorphic operations, and it has been studied that their effect can be suppressed by the closed-loop stability when dynamic controllers are encrypted using LWE based schemes. We show that this also holds for the proposed controller encrypted using a Ring-LWE based scheme. Specifically, only the constant terms of the error polynomials affect the control performance, and their effect can be arbitrarily bounded even when the noneffective terms diverge. Furthermore, a novel packing algorithm is applied, resulting in reduced computation time and enhanced memory efficiency. Simulation results demonstrate the effectiveness of the proposed method. Comment: 12 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.14372 |
| رقم الأكسشن: | edsarx.2406.14372 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |