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Homomorphic encryption (HE) is a core building block in privacy-preserving machine learning (PPML), but HE is also widely known as its efficiency bottleneck. Therefore, many GPU-accelerated cryptographic schemes have been proposed to…

Cryptography and Security · Computer Science 2025-02-18 Yu Cui , Hang Fu , Licheng Wang , Haibin Zhang

Homomorphic Encryption (HE) is an emerging encryption scheme that allows computations to be performed directly on encrypted messages. This property provides promising applications such as privacy-preserving deep learning and cloud…

Cryptography and Security · Computer Science 2021-10-01 Yujia Zhai , Mohannad Ibrahim , Yiqin Qiu , Fabian Boemer , Zizhong Chen , Alexey Titov , Alexander Lyashevsky

Homomorphic encryption (HE) draws huge attention as it provides a way of privacy-preserving computations on encrypted messages. Number Theoretic Transform (NTT), a specialized form of Discrete Fourier Transform (DFT) in the finite field of…

Cryptography and Security · Computer Science 2020-12-04 Sangpyo Kim , Wonkyung Jung , Jaiyoung Park , Jung Ho Ahn

Despite the cloud enormous technical and financial advantages, security and privacy have always been the primary concern for adopting cloud computing facility, especially for government agencies and commercial sectors with high-security…

Cryptography and Security · Computer Science 2025-08-29 Yang Gao , Gang Quan , Soamar Homsi , Wujie Wen , Liqiang Wang

Polynomial multiplication is one of the fundamental operations in many applications, such as fully homomorphic encryption (FHE). However, the computational inefficiency stemming from polynomials with many large-bit coefficients poses a…

Hardware Architecture · Computer Science 2024-10-08 Xiangchen Meng , Zijun Jiang , Yangdi Lyu

The widespread adoption of cloud-based solutions introduces privacy and security concerns. Techniques such as homomorphic encryption (HE) mitigate this problem by allowing computation over encrypted data without the need for decryption.…

Cryptography and Security · Computer Science 2024-12-13 Mpoki Mwaisela , Joel Hari , Peterson Yuhala , Jämes Ménétrey , Pascal Felber , Valerio Schiavoni

Fully homomorphic encryption (FHE) has recently attracted significant attention as both a cryptographic primitive and a systems challenge. Given the latest advances in accelerated computing, FHE presents a promising opportunity for…

Homomorphic encryption (HE) allows computations to be directly carried out on ciphertexts and is essential to privacy-preserving computing, such as neural network inference, medical diagnosis, and financial data analysis. Only addition and…

Cryptography and Security · Computer Science 2025-07-24 Sajjad Akherati , Yok Jye Tang , Xinmiao Zhang

High-speed long polynomial multiplication is important for applications in homomorphic encryption (HE) and lattice-based cryptosystems. This paper addresses low-latency hardware architectures for long polynomial modular multiplication using…

Hardware Architecture · Computer Science 2024-03-21 Weihang Tan , Sin-Wei Chiu , Antian Wang , Yingjie Lao , Keshab K. Parhi

Homomorphic encryption (HE) enables arithmetic operations to be performed directly on encrypted data. It is essential for privacy-preserving applications such as machine learning, medical diagnosis, and financial data analysis. In popular…

Cryptography and Security · Computer Science 2026-05-19 Sajjad Akherati , Xinmiao Zhang

Privacy concerns have thrust privacy-preserving computation into the spotlight. Homomorphic encryption (HE) is a cryptographic system that enables computation to occur directly on encrypted data, providing users with strong privacy (and…

Cryptography and Security · Computer Science 2024-05-21 Juran Ding , Yuanzhe Liu , Lingbin Sun , Brandon Reagen

Fully Homomorphic Encryption (FHE) enables the processing of encrypted data without decrypting it. FHE has garnered significant attention over the past decade as it supports secure outsourcing of data processing to remote cloud services.…

Homomorphic encryption (HE) allows computations to be directly carried out on ciphertexts and enables privacy-preserving cloud computing. The computations on the coefficients of the polynomials involved in HE are always followed by modular…

Cryptography and Security · Computer Science 2025-07-24 Sajjad Akherati , Jiaxuan Cai , Xinmiao Zhang

Cryptographic schemes like Fully Homomorphic Encryption (FHE) and Zero-Knowledge Proofs (ZKPs), while offering powerful privacy-preserving capabilities, are often hindered by their computational complexity. Polynomial multiplication, a core…

Cryptography and Security · Computer Science 2024-10-04 Rabimba Karanjai , Sangwon Shin , and Wujie Xiong , Xinxin Fan , Lin Chen , Tianwei Zhang , Taeweon Suh , Weidong Shi , Veronika Kuchta , Francesco Sica , Lei Xu

Modern implementations of homomorphic encryption (HE) rely heavily on polynomial arithmetic over a finite field. This is particularly true of the CKKS, BFV, and BGV HE schemes. Two of the biggest performance bottlenecks in HE primitives and…

Cryptography and Security · Computer Science 2021-07-13 Fabian Boemer , Sejun Kim , Gelila Seifu , Fillipe D. M. de Souza , Vinodh Gopal

Homomorphic encryption (HE) is a promising technique used for privacy-preserving computation. Since HE schemes only support primitive polynomial operations, homomorphic evaluation of polynomial approximations for non-polynomial functions…

Cryptography and Security · Computer Science 2024-05-27 John Chiang

The dramatic increase of data breaches in modern computing platforms has emphasized that access control is not sufficient to protect sensitive user data. Recent advances in cryptography allow end-to-end processing of encrypted data without…

Cryptography and Security · Computer Science 2023-01-19 Eduardo Chielle , Oleg Mazonka , Homer Gamil , Michail Maniatakos

Fully Homomorphic Encryption (FHE) is one of the most promising technologies for privacy protection as it allows an arbitrary number of function computations over encrypted data. However, the computational cost of these FHE systems limits…

Cryptography and Security · Computer Science 2020-05-06 Toufique Morshed , Md Momin Al Aziz , Noman Mohammed

Homomorphic Encryption (HE) enables secure computation on encrypted data, addressing privacy concerns in cloud computing. However, the high computational cost of HE operations, particularly matrix multiplication (MM), remains a major…

Hardware Architecture · Computer Science 2025-12-18 Zhihan Xu , Rajgopal Kannan , Viktor K. Prasanna

Homomorphic Encryption (HE) draws a significant attention as a privacy-preserving way for cloud computing because it allows computation on encrypted messages called ciphertexts. Among numerous HE schemes proposed, HE for Arithmetic of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-15 Wonkyung Jung , Eojin Lee , Sangpyo Kim , Keewoo Lee , Namhoon Kim , Chohong Min , Jung Hee Cheon , Jung Ho Ahn
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