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Fast Fourier Transform (FFT) is an essential tool in scientific and engineering computation. The increasing demand for mixed-precision FFT has made it possible to utilize half-precision floating-point (FP16) arithmetic for faster speed and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-26 Binrui Li , Shenggan Cheng , James Lin

Fully homomorphic encryption (FHE) enables direct computation on encrypted data, making it a crucial technology for privacy protection. However, FHE suffers from significant performance bottlenecks. In this context, GPU acceleration offers…

Cryptography and Security · Computer Science 2024-10-10 Zhiwei Wang , Haoqi He , Lutan Zhao , Peinan Li , Zhihao Li , Dan Meng , Rui Hou

Discrete transforms such as the discrete Fourier transform (DFT) and the discrete Hartley transform (DHT) are important tools in numerical analysis. The successful application of transform techniques relies on the existence of efficient…

Numerical Analysis · Computer Science 2015-02-06 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

Recent advances in high-resolution CT-imaging technology are creating a new class of ultra-high resolved micro-structural datasets that challenge the limits of traditional homogenization approaches. While state-of-the-art FFT-based…

Materials Science · Physics 2025-12-10 Sascha H. Hauck , Matthias Kabel , Nicolas R. Gauger

Homomorphic encryption (HE) enables calculating on encrypted data, which makes it possible to perform privacypreserving neural network inference. One disadvantage of this technique is that it is several orders of magnitudes slower than…

Cryptography and Security · Computer Science 2023-08-31 Wouter Legiest , Jan-Pieter D'Anvers , Furkan Turan , Michiel Van Beirendonck , Ingrid Verbauwhede

With the rapid advancement of quantum computing technology, post-quantum cryptography (PQC) has emerged as a pivotal direction for next-generation encryption standards. Among these, lattice-based cryptographic schemes rely heavily on the…

Cryptography and Security · Computer Science 2025-05-14 Hengyu Ding , Houran Ji , Jia Li , Jinhang Chen , Chin-Wing Sham , Yao Wang

Homomorphic encryption (HE) enables the secure offloading of computations to the cloud by providing computation on encrypted data (ciphertexts). HE is based on noisy encryption schemes in which noise accumulates as more computations are…

Cryptography and Security · Computer Science 2022-05-02 Sangpyo Kim , Jongmin Kim , Michael Jaemin Kim , Wonkyung Jung , Minsoo Rhu , John Kim , Jung Ho Ahn

Edge devices are being deployed at increasing volumes to sense and act on information from the physical world. The discrete Fourier transform (DFT) is often necessary to make this sensed data suitable for further processing -- such as by…

Discrete transforms such as the discrete Fourier transform (DFT) or the discrete Hartley transform (DHT) furnish an indispensable tool in signal processing. The successful application of transform techniques relies on the existence of the…

Data Structures and Algorithms · Computer Science 2015-08-27 H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

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 permutation is fundamental to privacy-preserving computations based on batch-encoding homomorphic encryption. It underpins nearly all homomorphic matrix operations and predominantly influences their complexity. Permutation…

Cryptography and Security · Computer Science 2025-11-27 Xirong Ma , Junling Fang , Chunpeng Ge , Dung Hoang Duong , Yali Jiang , Yanbin Li , Willy Susilo , Lizhen Cui

Nonequispaced discrete Fourier transformation (NDFT) is widely applied in all aspects of computational science and engineering. The computational efficiency and accuracy of NDFT has always been a critical issue in hindering its…

Mathematical Software · Computer Science 2020-08-06 Sheng-Chun Yang , Yong-Lei Wang

Data privacy concerns often prevent the use of cloud-based machine learning services for sensitive personal data. While homomorphic encryption (HE) offers a potential solution by enabling computations on encrypted data, the challenge is to…

Cryptography and Security · Computer Science 2021-03-08 Kanthi Sarpatwar , Karthik Nandakumar , Nalini Ratha , James Rayfield , Karthikeyan Shanmugam , Sharath Pankanti , Roman Vaculin

Privacy-preserving neural network (NN) inference can be achieved by utilizing homomorphic encryption (HE), which allows computations to be directly carried out over ciphertexts. Popular HE schemes are built over large polynomial rings. To…

Cryptography and Security · Computer Science 2025-08-15 Sajjad Akherati , Xinmiao Zhang

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

Computationally intensive deep neural networks (DNNs) are well-suited to run on GPUs, but newly developed algorithms usually require the heavily optimized DNN routines to work efficiently, and this problem could be even more difficult for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-12 Yu-Sheng Lin , Wei-Chao Chen , Shao-Yi Chien

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

The need for privacy-preserving analytics is higher than ever due to the severity of privacy risks and to comply with new privacy regulations leading to an amplified interest in privacy-preserving techniques that try to balance between…

Cryptography and Security · Computer Science 2021-01-05 Ahmad Al Badawi , Luong Hoang , Chan Fook Mun , Kim Laine , Khin Mi Mi Aung

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

The proliferation of machine learning services in the last few years has raised data privacy concerns. Homomorphic encryption (HE) enables inference using encrypted data but it incurs 100x-10,000x memory and runtime overheads. Secure deep…