Privacy in Dynamical Systems
Privacy in Dynamical Systems
复制标题
动态系统中的隐私
DOI：
10.1007/978-981-15-0493-8
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
K. Kogiso
中科院分区：
文献类型：
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作者：
K. Teranishi;M. Kusaka;Naoki Shimada;J. Ueda;K. Kogiso
基于误差学习（LWE）问题的密码系统被认为是后量子密码系统，因为它不是基于大素数因式分解问题，而大素数分解问题被认为可以通过量子计算机轻松解决。此外，基于 LWE 的密码系统允许完全同态算术，因此可以在不解密的情况下对两个加密变量进行加法和乘法。本章通过示例全面介绍了基于 LWE 的密码系统。基于LWE的密码系统安全性的关键是在密文中注入随机错误，然而，由于错误的增长，这阻碍了同态算术对密文的无限递归操作。我们展示了动态反馈控制器如何克服这一限制，以保证当控制器的系统矩阵由整数组成时闭环系统的稳定性。最后，我们通过 MATLAB 代码说明如何定制基于 LWE 的密码系统来构建安全反馈控制系统。本章是为没有密码系统背景的控制工程师编写的。
The cryptosystem based on the Learning-with-Errors (LWE) problem is considered as a post-quantum cryptosystem, because it is not based on the factoring problem with large primes which is believed to be easily solved by a quantum computer. Moreover, the LWE-based cryptosystem allows fully homomorphic arithmetics so that two encrypted variables can be added and multiplied without decrypting them. This chapter provides a comprehensive introduction to the LWE-based cryptosystem with examples. A key to the security of the LWE-based cryptosystem is the injection of random errors in the ciphertexts, which however hinders unlimited recursive operation of homomorphic arithmetics on ciphertexts due to the growth of the error. We show how this limitation can be overcome for dynamic feedback controllers that guarantee stability of the closed-loop system when the system matrix of the controller consists of integers. Finally, we illustrate through MATLAB codes how the LWE-based cryptosystem can be customized to build a secure feedback control system. This chapter is written for the control engineers who do not have background on cryptosystems.