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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 easily solved by a quantum computer. Moreover, the…

Systems and Control · Computer Science 2021-01-11 Junsoo Kim , Hyungbo Shim , Kyoohyung Han

Encrypted control has been introduced to protect controller data by encryption at the stage of computation and communication, by performing the computation directly on encrypted data. In this article, we first review and categorize recent…

Cryptography and Security · Computer Science 2022-10-12 Junsoo Kim , Dongwoo Kim , Yongsoo Song , Hyungbo Shim , Henrik Sandberg , Karl H. Johansson

Although encrypted control systems ensure confidentiality of private data, it is challenging to detect anomalies without the secret key as all signals remain encrypted. To address this issue, we propose a homomorphic encryption scheme for…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Yeongjun Jang , Joowon Lee , Junsoo Kim , Takashi Tanaka , Hyungbo Shim

In this paper, we present a method to encrypt dynamic controllers that can be implemented through most homomorphic encryption schemes, including somewhat, leveled fully, and fully homomorphic encryption. To this end, we represent the output…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Joowon Lee , Donggil Lee , Junsoo Kim , Hyungbo Shim

In this paper, we propose an encrypted dynamic controller that executes an unlimited number of recursive homomorphic multiplications on a Ring Learning With Errors (Ring-LWE) based cryptosystem without bootstrapping. The proposed controller…

Systems and Control · Electrical Eng. & Systems 2025-12-30 Yeongjun Jang , Joowon Lee , Seonhong Min , Hyesun Kwak , Junsoo Kim , Yongsoo Song

This paper introduces a privacy-preserving distributed learning framework via private-key homomorphic encryption. Thanks to the randomness of the quantization of gradients, our learning with error (LWE) based encryption can eliminate the…

Cryptography and Security · Computer Science 2024-02-05 Guangfeng Yan , Shanxiang Lyu , Hanxu Hou , Zhiyong Zheng , Linqi Song

Recent developments in communication technologies, such as 5G, together with innovative computing paradigms, such as edge computing, provide further possibilities for the implementation of real-time networked control systems. However,…

Systems and Control · Electrical Eng. & Systems 2022-07-21 Matteo Marcantoni , Bayu Jayawardhana , Mariano Perez Chaher , Kerstin Bunte

Detecting attacks using encrypted signals is challenging since encryption hides its information content. We present a novel mechanism for anomaly detection over Learning with Errors (LWE) encrypted signals without using decryption, secure…

Cryptography and Security · Computer Science 2025-02-17 Rijad Alisic , Junsoo Kim , Henrik Sandberg

As quantum computing technology continues to advance, post-quantum cryptographic methods capable of resisting quantum attacks have emerged as a critical area of focus. Given the potential vulnerability of existing homomorphic encryption…

Cryptography and Security · Computer Science 2025-06-25 Abel C. H. Chen

We initiate the study of multi-party computation for classical functionalities (in the plain model) with security against malicious polynomial-time quantum adversaries. We observe that existing techniques readily give a polynomial-round…

Quantum Physics · Physics 2020-11-23 Amit Agarwal , James Bartusek , Vipul Goyal , Dakshita Khurana , Giulio Malavolta

AI-powered attacks on Learning with Errors (LWE), an important hard math problem in post-quantum cryptography, rival or outperform "classical" attacks on LWE under certain parameter settings. Despite the promise of this approach, a dearth…

Machine Learning · Computer Science 2025-12-23 Eshika Saxena , Alberto Alfarano , François Charton , Emily Wenger , Kristin Lauter

Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

Homomorphic Encryption (HE) allows secure and privacy-protected computation on encrypted data without the need to decrypt it. Since Shor's algorithm rendered prime factorisation and discrete logarithm-based ciphers insecure with quantum…

Cryptography and Security · Computer Science 2025-04-24 Siddhartha Siddhiprada Bhoi , Arathi Arakala , Amy Beth Corman , Asha Rao

This study proposes an encrypted visual feedback control algorithm for regulating a one-dimensional stage using Ring Learning With Errors (RLWE) encryption. The proposed algorithm performs both feature extraction and controller computations…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Taichi Ikezaki , Kaoru Teranishi

Encrypted controllers offer secure computation by employing modern cryptosystems to execute control operations directly over encrypted data without decryption. However, incorporating cryptosystems into dynamic controllers significantly…

Systems and Control · Electrical Eng. & Systems 2025-12-29 Yeongjun Jang , Joowon Lee , Junsoo Kim

Lattice-based cryptography is a foundation for post-quantum security, with the Learning with Errors (LWE) problem as a core component in key exchange, encryption, and homomorphic computation. Structured variants like Ring-LWE (RLWE) and…

Cryptography and Security · Computer Science 2025-02-12 Dongfang Zhao

Our main result is a quantum public-key encryption scheme based on the Extrapolated Dihedral Coset problem (EDCP) which is equivalent, under quantum polynomial-time reductions, to the Learning With Errors (LWE) problem. For limited number…

Quantum Physics · Physics 2021-05-28 Javad Doliskani

This study proposes an encrypted PID control system with a disturbance observer (DOB) using a keyed-homomorphic encryption (KHE) scheme, aiming to achieve control performance while providing resistance to malleability-based attacks. The…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Naoki Aizawa , Keita Emura , Kiminao Kogiso

Learning with Errors is one of the fundamental problems in computational learning theory and has in the last years become the cornerstone of post-quantum cryptography. In this work, we study the quantum sample complexity of Learning with…

Quantum Physics · Physics 2019-03-27 Alex B. Grilo , Iordanis Kerenidis , Timo Zijlstra

In the state-of-the-art literature on cryptography and control theory, there has been no systematic methodology of constructing cyber-physical systems that can achieve desired control performance while being protected against eavesdropping…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Kaoru Teranishi , Tomonori Sadamoto , Aranya Chakrabortty , Kiminao Kogiso
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