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Fully Homomorphic Encryption (FHE) has made it possible to perform addition and multiplication operations on encrypted data. Using FHE in control thus has the advantage that control effort for a plant can be calculated remotely without ever…

Systems and Control · Electrical Eng. & Systems 2022-09-29 Pieter Stobbe , Twan Keijzer , Riccardo M. G. Ferrari

This paper presents a heuristic attack on the fully homomorphic encryption over the integers by using lattice reduction algorithm. Our result shows that the FHE in [DGHV10] is not secure for some parameter settings. We also present an…

Cryptography and Security · Computer Science 2012-02-16 Gu Chunsheng

Fully Homomorphic Encryption (FHE) represents a paradigm shift in cryptography, enabling computation directly on encrypted data and unlocking privacy-critical computation. Despite being increasingly deployed in real platforms, the…

Cryptography and Security · Computer Science 2025-09-26 Rian Adam Rajagede , Yan Solihin

We propose a symmetric key homomorphic encryption scheme based on the evaluation of multivariate polynomials over a finite field. The proposed scheme is somewhat homomorphic with respect to addition and multiplication. Further, we define a…

Cryptography and Security · Computer Science 2019-02-18 Uddipana Dowerah , Srinivasan Krishnaswamy

Fully homomorphic encryption (FHE) has experienced significant development and continuous breakthroughs in theory, enabling its widespread application in various fields, like outsourcing computation and secure multi-party computing, in…

Cryptography and Security · Computer Science 2023-03-21 Yanwei Gong , Xiaolin Chang , Jelena Mišić , Vojislav B. Mišić , Jianhua Wang , Haoran Zhu

We propose a multi-bit leveled fully homomorphic encryption scheme using multivariate polynomial evaluations. The security of the scheme depends on the hardness of the Learning with Errors (LWE) problem. For homomorphic multiplication, the…

Cryptography and Security · Computer Science 2020-07-02 Uddipana Dowerah , Srinivasan Krishnaswamy

Biometric systems strive to balance security and usability. The use of multi-biometric systems combining multiple biometric modalities is usually recommended for high-security applications. However, the presentation of multiple biometric…

Cryptography and Security · Computer Science 2025-04-01 Florian Bayer , Christian Rathgeb

Since the first theoretically feasible full homomorphic encryption (FHE) scheme was proposed in 2009, great progress has been achieved. These improvements have made FHE schemes come off the paper and become quite useful in solving some…

Cryptography and Security · Computer Science 2024-03-19 Yuqi Guo , Lin Li , Zhongxiang Zheng , Hanrui Yun , Ruoyan Zhang , Xiaolin Chang , Zhixuan Gao

Fully Homomorphic Encryption (FHE) is seeing increasing real-world deployment to protect data in use by allowing computation over encrypted data. However, the same malleability that enables homomorphic computations also raises integrity…

Cryptography and Security · Computer Science 2023-02-14 Alexander Viand , Christian Knabenhans , Anwar Hithnawi

Secure signal processing is becoming a de facto model for preserving privacy. We propose a model based on the Fully Homomorphic Encryption (FHE) technique to mitigate security breaches. Our framework provides a method to perform a Fast…

Cryptography and Security · Computer Science 2016-11-29 Thomas Shortell , Ali Shokoufandeh

Performing smart computations in a context of cloud computing and big data is highly appreciated today. Fully homomorphic encryption (FHE) is a smart category of encryption schemes that allows working with the data in its encrypted form. It…

Cryptography and Security · Computer Science 2018-04-20 Ahmed El-Yahyaoui , Mohamed Dafir Ech-Chrif El Kettani

We propose an unbounded fully homomorphic encryption scheme, i.e. a scheme that allows one to compute on encrypted data for any desired functions without needing to decrypt the data or knowing the decryption keys. This is a rational…

Cryptography and Security · Computer Science 2023-01-31 Zhiyong Zheng , Fengxia Liu , Kun Tian

Privacy-preserving machine learning has become an important long-term pursuit in this era of artificial intelligence (AI). Fully Homomorphic Encryption (FHE) is a uniquely promising solution, offering provable privacy and security…

Cryptography and Security · Computer Science 2026-03-30 Cory Brynds , Parker McLeod , Lauren Caccamise , Asmita Pal , Dewan Saiham , Sazadur Rahman , Joshua San Miguel , Di Wu

RLWE-based Fully Homomorphic Encryption (FHE) schemes add some small \emph{noise} to the message during encryption. The noise accumulates with each homomorphic operation. When the noise exceeds a critical value, the FHE circuit produces an…

Cryptography and Security · Computer Science 2025-09-16 Tarakaram Gollamudi , Anitha Gollamudi , Joshua Gancher

Privacy-preserving machine learning (PPML) is an emerging topic to handle secure machine learning inference over sensitive data in untrusted environments. Fully homomorphic encryption (FHE) enables computation directly on encrypted data on…

Cryptography and Security · Computer Science 2025-10-24 Yu Hin Chan , Hao Yang , Shiyu Shen , Xingyu Fan , Shengzhe Lyu , Patrick S. Y. Hung , Ray C. C. Cheung

Homomorphic encryption has largely been studied in context of public key cryptosystems. But there are applications which inherently would require symmetric keys. We propose a symmetric key encryption scheme with fully homomorphic evaluation…

Cryptography and Security · Computer Science 2013-10-10 Iti Sharma

Machine Learning (ML) has emerged as one of data science's most transformative and influential domains. However, the widespread adoption of ML introduces privacy-related concerns owing to the increasing number of malicious attacks targeting…

Machine Learning · Computer Science 2024-01-29 Eugene Frimpong , Khoa Nguyen , Mindaugas Budzys , Tanveer Khan , Antonis Michalas

Machine learning (ML) systems that guarantee security and privacy often rely on Fully Homomorphic Encryption (FHE) as a cornerstone technique, enabling computations on encrypted data without exposing sensitive information. However, a…

Cryptography and Security · Computer Science 2024-12-20 Dongfang Zhao

Fully Homomorphic Encryption (FHE) promises the ability to compute over encrypted data without revealing sensitive contents. However, enabling high-frequency updates and statistical analysis in outsourced databases remains elusive due to…

Cryptography and Security · Computer Science 2026-04-28 Dongfang Zhao

We define a pseudorandom function (PRF) $F: \mathcal{K} \times \mathcal{X} \rightarrow \mathcal{Y}$ to be bi-homomorphic when it is fully Key homomorphic and partially Input Homomorphic (KIH), i.e., given $F(k_1, x_1)$ and $F(k_2, x_2)$,…

Cryptography and Security · Computer Science 2020-08-24 Vipin Singh Sehrawat , Yvo Desmedt
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