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Quantum computers promise not only to outperform classical machines for certain important tasks, but also to preserve privacy of computation. For example, the blind quantum computing protocol enables secure delegated quantum computation,…

Homomorphic encryption aims at allowing computations on encrypted data without decryption other than that of the final result. This could provide an elegant solution to the issue of privacy preservation in data-based applications, such as…

Cryptography and Security · Computer Science 2019-05-13 Diego Chialva , Ann Dooms

In this paper homomorphic cryptosystems are designed for the first time over any finite group. Applying Barrington's construction we produce for any boolean circuit of the logarithmic depth its encrypted simulation of a polynomial size over…

Cryptography and Security · Computer Science 2007-05-23 Dima Grigoriev , Ilia Ponomarenko

The use of Machine Learning (ML) for data-driven decision-making often relies on access to sensitive datasets, which introduces privacy challenges. Traditional encryption methods protect data at rest or in transit but fail to secure it…

Cryptography and Security · Computer Science 2026-04-28 Alexandre Marques , Beatriz Sá , Rui Botelho , Pedro Pinto

A fully homomorphic encryption system hides data from unauthorized parties, while still allowing them to perform computations on the encrypted data. Aside from the straightforward benefit of allowing users to delegate computations to a more…

Privacy-preserving distributed processing has received considerable attention recently. The main purpose of these algorithms is to solve certain signal processing tasks over a network in a decentralised fashion without revealing…

Signal Processing · Electrical Eng. & Systems 2023-12-14 Sebastian O. Jordan , Qiongxiu Li , Richard Heusdens

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

Encrypted control is a framework for the secure outsourcing of controller computation using homomorphic encryption that allows to perform arithmetic operations on encrypted data without decryption. In a previous study, the security level of…

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

Homomorphic encryption is a method used in cryptopgraphy to create programs that can interact with encrypted data without ever leaving the data in the clear. This has many potential applications in cybersecurity. This paper uses…

Cryptography and Security · Computer Science 2020-10-19 Paul Hriljac

In this survey, we describe a general key exchange protocol based on semidirect product of (semi)groups (more specifically, on extensions of (semi)groups by automorphisms), and then focus on practical instances of this general idea. This…

Cryptography and Security · Computer Science 2016-04-21 Delaram Kahrobaei , Vladimir Shpilrain

While computation-enabled cryptosystems applied to control systems have improved security and privacy, a major issue is that the number of recursive operations on encrypted data is limited to a finite number of times in most cases,…

Systems and Control · Electrical Eng. & Systems 2025-12-25 Deuksun Hong , Donghyeon Song , Mingyu Jeong , Junsoo Kim

In a private database query scheme (PDQ), a server maintains a database, and users send queries to retrieve records of interest from the server while keeping their queries private. A crucial step in PDQ protocols based on homomorphic…

Cryptography and Security · Computer Science 2024-09-02 Jung Hee Cheon , Keewoo Lee , Jai Hyun Park , Yongdong Yeo

Homomorphic encryption is a form of encryption which allows computation to be carried out on the encrypted data without the need for decryption. The success of quantum approaches to related tasks in a delegated computation setting has…

Quantum Physics · Physics 2014-11-19 Li Yu , Carlos A. Perez-Delgado , Joseph F. Fitzsimons

Recent advances in cryptography promise to enable secure statistical computation on encrypted data, whereby a limited set of operations can be carried out without the need to first decrypt. We review these homomorphic encryption schemes in…

Machine Learning · Statistics 2015-08-27 Louis J. M. Aslett , Pedro M. Esperança , Chris C. Holmes

The system property of ``having integer coefficients,'' that is, a transfer function has an integer monic polynomial as its denominator, is significant in the field of encrypted control as it is required for a dynamic controller to be…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Joowon Lee , Donggil Lee , Junsoo Kim

Privacy-preserving applications allow users to perform on-line daily actions without leaking sensitive information. Privacy-preserving scalar product is one of the critical algorithms in many private applications. The state-of-the-art…

Cryptography and Security · Computer Science 2020-08-21 Yogachandran Rahulamathavan , Safak Dogan , Xiyu Shi , Rongxing Lu , Muttukrishnan Rajarajan , Ahmet Kondoz

Homomorphic secret sharing (HSS) enables two servers to locally perform functions on encrypted data directly and obtain the results in the form of shares. A Paillier-based HSS solution seamlessly achieves multiplicative homomorphism and…

Cryptography and Security · Computer Science 2024-10-10 Weiquan Deng , Bowen Zhao , Yang Xiao , Yantao Zhong , Qingqi Pei , Ximeng Liu

Distribution grid agents are obliged to exchange and disclose their states explicitly to neighboring regions to enable distributed optimal power flow dispatch. However, the states contain sensitive information of individual agents, such as…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Tong Wu , Changhong Zhao , Ying-Jun Angela Zhang

The Machine Learning and Deep Learning Models require a lot of data for the training process, and in some scenarios, there might be some sensitive data, such as customer information involved, which the organizations might be hesitant to…

Machine Learning · Computer Science 2022-08-05 Syed Imtiaz Ahamed , Vadlamani Ravi

Large language models (LLMs) offer personalized responses based on user interactions, but this use case raises serious privacy concerns. Homomorphic encryption (HE) is a cryptographic protocol supporting arithmetic computations in encrypted…

Cryptography and Security · Computer Science 2025-02-24 Donghwan Rho , Taeseong Kim , Minje Park , Jung Woo Kim , Hyunsik Chae , Ernest K. Ryu , Jung Hee Cheon