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Homomorphic encryption is one of the main solutions for building secure and privacy-preserving solutions for Machine Learning as a Service. This motivates the development of homomorphic algorithms for the main building blocks of AI,…

Cryptography and Security · Computer Science 2024-10-16 Wonhee Cho , Guillaume Hanrot , Taeseong Kim , Minje Park , Damien Stehlé

Fully-homomorphic encryption (FHE) enables computation on encrypted data while maintaining secrecy. Recent research has shown that such schemes exist even for quantum computation. Given the numerous applications of classical FHE…

Quantum Physics · Physics 2018-02-27 Gorjan Alagic , Yfke Dulek , Christian Schaffner , Florian Speelman

Secure function evaluation (SFE) is the process of computing a function (or running an algorithm) on some data, while keeping the input, output and intermediate results hidden from the environment in which the function is evaluated. This…

Cryptography and Security · Computer Science 2013-12-12 Stefan Rass

We propose a new homomorphic encryption scheme based on the hardness of decoding under independent random noise from certain affine families of codes. Unlike in previous lattice-based homomorphic encryption schemes, where the message is…

Cryptography and Security · Computer Science 2011-11-21 Andrej Bogdanov , Chin Ho Lee

Homomorphic Encryption (HE) provides strong data privacy for cloud services but at the cost of prohibitive computational overhead. While GPUs have emerged as a practical platform for accelerating HE, there remains an order-of-magnitude…

Cloud-based and distributed computations are of growing interest in modern control systems. However, these technologies require performing computations on not necessarily trustworthy platforms and, thus, put the confidentiality of sensitive…

Cryptography and Security · Computer Science 2023-04-14 Nils Schlüter , Philipp Binfet , Moritz Schulze Darup

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

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

This paper is a compressed summary of some principal definitions and concepts in the approach to the black box algebra being developed by the authors. We suggest that black box algebra could be useful in cryptanalysis of homomorphic…

Group Theory · Mathematics 2020-06-04 Alexandre Borovik , Şükrü Yalçınkaya

In this paper, we present a comprehensive architecture for confidential computing, which we show to be general purpose and quite efficient. It executes the application as is, without any added burden or discipline requirements from the…

Cryptography and Security · Computer Science 2021-09-22 Jessica Tseng , Gianfranco Bilardi , Kattamuri Ekanadham , Manoj Kumar , Jose Moreira , P. C. Pattnaik

Homomorphic quantum error correction aims to protect quantum data against both unauthorized access and environmental noise during server-based processing. We investigate the algebraic compatibility between quantum homomorphic encryption and…

Quantum Physics · Physics 2026-05-26 Kornikar Sen , Miguel A. Martin-Delgado

As security demands increase, the importance of secure computation technologies grows, yet these technologies can often seem overwhelming to practitioners. Furthermore, many approaches focus only on a single technology, potentially…

Cryptography and Security · Computer Science 2026-05-07 Marcus Taubert , Adam Skuta , Thomas Loruenser

We propose a new homomorphic public-key cryptosystem over arbitrary nonidentity finite group based on the difficulty of the membership problem for groups of integer matrices. Besides, a homomorphic cryptosystem is designed for the first…

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

With the rapid increase in cloud computing, concerns surrounding data privacy, security, and confidentiality also have been increased significantly. Not only cloud providers are susceptible to internal and external hacks, but also in some…

Cryptography and Security · Computer Science 2020-01-27 M. Sadegh Riazi , Kim Laine , Blake Pelton , Wei Dai

This study aims to develop an encrypted motion-copying system using homomorphic encryption for secure motion preservation and reproduction. A novel concept of encrypted motion-copying systems is introduced, realizing the preservation,…

Systems and Control · Electrical Eng. & Systems 2023-10-18 Haruki Takanashi , Kaoru Teranishi , Kiminao Kogiso

Privacy-preserving computation (PPC) methods, such as secure multiparty computation (MPC) and homomorphic encryption (HE), are deployed increasingly often to guarantee data confidentiality in computations over private, distributed data.…

Cryptography and Security · Computer Science 2024-04-17 Tariq Bontekoe , Dimka Karastoyanova , Fatih Turkmen

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

Catalano and Fiore propose a scheme to transform a linearly-homomorphic encryption into a homomorphic encryption scheme capable of evaluating quadratic computations on ciphertexts. Their scheme is based on the linearly-homomorphic…

Cryptography and Security · Computer Science 2021-04-27 Xin Chen , Liang Feng Zhang

New cryptographic techniques such as homomorphic encryption (HE) allow computations to be outsourced to and evaluated blindfolded in a resourceful cloud. These computations often require private data owned by multiple participants, engaging…

Cryptography and Security · Computer Science 2020-08-13 Asma Aloufi , Peizhao Hu , Yongsoo Song , Kristin Lauter

Homomorphically full graphs are those for which every homomorphic image is isomorphic to a subgraph. We extend the definition of homomorphically full to oriented graphs in two different ways. For the first of these, we show that…

Discrete Mathematics · Computer Science 2024-02-14 Thomas Bellitto , Christopher Duffy , Gary MacGillivray