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Homomorphic encryption is a sophisticated encryption technique that allows computations on encrypted data to be done without the requirement for decryption. This trait makes homomorphic encryption appropriate for safe computation in…

Cryptography and Security · Computer Science 2023-05-11 Nimish Jain , Aswani Kumar Cherukuri

Homomorphic encryption is a powerful cryptographic tool that enables secure computations on the private data. It evaluates any function for any operation securely on the encrypted data without knowing its corresponding plaintext. For…

Cryptography and Security · Computer Science 2025-09-18 Giovanni Giuseppe Grimaldi

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

In this paper, we study groups of automorphisms of algebraic systems over a set of $p$-adic integers with different sets of arithmetic and coordinate-wise logical operations and congruence relations modulo $p^k,$ $k\ge 1.$ The main result…

Number Theory · Mathematics 2018-06-01 Ekaterina Yurova Axelsson , Andrei Khrennikov

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

Fully homomorphic encryption has allowed devices to outsource computation to third parties while preserving the secrecy of the data being computed on. Many images contain sensitive information and are commonly sent to cloud services to…

Cryptography and Security · Computer Science 2018-10-09 William Fu , Raymond Lin , Daniel Inge

Following a sequence of hardware designs for a fully homomorphic crypto-processor - a general purpose processor that natively runs encrypted machine code on encrypted data in registers and memory, resulting in encrypted machine states -…

Cryptography and Security · Computer Science 2018-09-06 Peter Breuer , Jonathan Bowen

Homomorphic encryption, which enables the execution of arithmetic operations directly on ciphertexts, is a promising solution for protecting privacy of cloud-delegated computations on sensitive data. However, the correctness of the…

Cryptography and Security · Computer Science 2025-11-20 Sylvain Chatel , Christian Knabenhans , Apostolos Pyrgelis , Carmela Troncoso , Jean-Pierre Hubaux

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

Since fully homomorphic encryption and homomorphically encrypted computing preserve algebraic identities such as 2*2=2+2, a natural question is whether this extremely utilitarian feature also sets up cryptographic attacks that use the…

Cryptography and Security · Computer Science 2014-11-19 Peter T. Breuer , Jonathan P. Bowen

With the rapid development of cloud computing, the privacy security incidents occur frequently, especially data security issues. Cloud users would like to upload their sensitive information to cloud service providers in encrypted form…

Cryptography and Security · Computer Science 2018-12-04 Qi Wang , Dehua Zhou , Yanling Li

The goal of this chapter is to present a survey of homomorphic encryption techniques and their applications. After a detailed discussion on the introduction and motivation of the chapter, we present some basic concepts of cryptography. The…

Cryptography and Security · Computer Science 2021-09-03 Jaydip Sen

Fully homomorphic encryption is a promising crypto primitive to encrypt your data while allowing others to compute on the encrypted data. But there are many well-known problems with fully homomorphic encryption such as CCA security and…

Cryptography and Security · Computer Science 2019-06-18 Zhiniang Peng

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

Homomorphic encryption is a form of encryption which allows computation to be carried out on the encrypted data without the need for decryption. The success of quantum approaches to related tasks in a delegated computation setting has…

Quantum Physics · Physics 2014-11-19 Li Yu , Carlos A. Perez-Delgado , Joseph F. Fitzsimons

Cloud computing is a popular distributed network and utility model based technology. Since in cloud the data is outsourced to third parties, the protection of confidentiality and privacy of user data becomes important. Different methods for…

Cryptography and Security · Computer Science 2015-05-14 B. T. Prasanna , C. B. Akki

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

Cloud computing is the broad and diverse phenomenon. Users are allowed to store huge amount of data on cloud storage for future use. Most of the cloud service providers store data in plain text format or in secured manner but client will…

Cryptography and Security · Computer Science 2022-02-02 Fahina , Shwetha U , Poorna , Supriya , Rama Moorthy H , Dr. Vasudeva

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

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
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