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The trend towards delegating data processing to a remote party raises major concerns related to privacy violations for both end-users and service providers. These concerns have attracted the attention of the research community, and several…

Cryptography and Security · Computer Science 2015-12-15 Youssef Gahi , Mouhcine Guennoun , Zouhair Guennoun , Khalil El-khatib

The breakthrough of achieving fully homomorphic encryption sparked enormous studies on where and how to apply homomorphic encryption schemes so that operations can be performed on encrypted data without the secret key while still obtaining…

Cryptography and Security · Computer Science 2021-06-28 Yang Li

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

An important problem of modern cryptography concerns secret public-key computations in algebraic structures. We construct homomorphic cryptosystems being (secret) epimorphisms f:G --> H, where G, H are (publically known) groups and H is…

Cryptography and Security · Computer Science 2007-05-23 D. Grigoriev , I. Ponomarenko

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

This article proposes a comprehensive approach to implementing encryption schemes based on the automorphism group of the Hermitian function field. We utilize a three-parameter group with logarithmic representations outside the group's…

Cryptography and Security · Computer Science 2025-04-16 Gennady Khalimov , Yevgen Kotukh

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…

Cryptography and data science research grew exponential with the internet boom. Legacy encryption techniques force users to make a trade-off between usability, convenience, and security. Encryption makes valuable data inaccessible, as it…

Cryptography and Security · Computer Science 2020-09-14 Aadesh Neupane

Fully homomorphic encryption is an encryption method with the property that any computation on the plaintext can be performed by a party having access to the ciphertext only. Here, we formally define and give schemes for quantum homomorphic…

Quantum Physics · Physics 2016-01-11 Anne Broadbent , Stacey Jeffery

Privacy has gained a growing interest nowadays due to the increasing and unmanageable amount of produced confidential data. Concerns about the possibility of sharing data with third parties, to gain fruitful insights, beset enterprise…

Cryptography and Security · Computer Science 2020-11-16 Michela Iezzi

Biometric matching involves storing and processing sensitive user information. Maintaining the privacy of this data is thus a major challenge, and homomorphic encryption offers a possible solution. We propose a privacy-preserving…

Cryptography and Security · Computer Science 2021-11-25 Gaëtan Pradel , Chris Mitchell

Fully Homomorphic Encryption (FHE) is a relatively recent advancement in the field of privacy-preserving technologies. FHE allows for the arbitrary depth computation of both addition and multiplication, and thus the application of…

Machine Learning · Computer Science 2021-07-29 George Onoufriou , Paul Mayfield , Georgios Leontidis

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

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

This paper considers the use of fully homomorphic encryption for the realisation of distributed formation control of multi-agent systems via edge computer. In our proposed framework, the distributed control computation in the edge computer…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Mariano Perez Chaher , Bayu Jayawardhana , Junsoo Kim

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

We present novel homomorphic encryption schemes for integer arithmetic, intended for use in secure single-party computation in the cloud. These schemes are capable of securely computing only low degree polynomials homomorphically, but this…

Cryptography and Security · Computer Science 2017-02-27 James Dyer , Martin Dyer , Jie Xu

Modern face recognition systems utilize deep neural networks to extract salient features from a face. These features denote embeddings in latent space and are often stored as templates in a face recognition system. These embeddings are…

Cryptography and Security · Computer Science 2024-04-26 Bharat Yalavarthi , Arjun Ramesh Kaushik , Arun Ross , Vishnu Boddeti , Nalini Ratha

Fully homomorphic encryption (FHE) allows anyone to perform computations on encrypted data, despite not having the secret decryption key. Since the Gentry's work in 2009, the primitive has interested many researchers. In this paper, we…

Cryptography and Security · Computer Science 2015-11-18 Zhengjun Cao , Lihua Liu

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,…