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Chebyshev polynomials have been recently proposed for designing public-key systems. Indeed, they enjoy some nice chaotic properties, which seem to be suitable for use in Cryptography. Moreover, they satisfy a semi-group property, which…

Cryptography and Security · Computer Science 2007-05-23 Pina Bergamo , Paolo D'Arco , Alfredo De Santis , Ljupco Kocarev

Homomorphic encryption is an encryption method that enables computing over encrypted data. This has a wide range of real world ramifications such as being able to blindly compute a search result sent to a remote server without revealing its…

Cryptography and Security · Computer Science 2016-06-13 Sudharaka Palamakumbura , Hamid Usefi

Why study Lattice-based Cryptography? There are a few ways to answer this question. 1. It is useful to have cryptosystems that are based on a variety of hard computational problems so the different cryptosystems are not all vulnerable in…

Cryptography and Security · Computer Science 2022-09-29 Yang Li , Kee Siong Ng , Michael Purcell

The widespread adoption of cloud infrastructures has revolutionised data storage and access. However, it has also raised concerns regarding the privacy of sensitive data stored in the cloud. To address these concerns, encryption techniques…

Cryptography and Security · Computer Science 2024-07-12 Ivone Amorim , Ivan Costa

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

In their 2022 study, Kuang et al. introduced Multivariable Polynomial Public Key (MPPK) cryptography, leveraging the inversion relationship between multiplication and division for quantum-safe public key systems. They extended MPPK into…

Cryptography and Security · Computer Science 2024-06-07 Randy Kuang , Maria Perepechaenko , Mahmoud Sayed , Dafu Lou

Several of the basic cryptographic constructs have associated algebraic structures. Formal models proposed by Dolev and Yao to study the (unconditional) security of public key protocols form a group. The security of some types of protocols…

Cryptography and Security · Computer Science 2008-02-25 Manas K Patra , Yan Zhang

Quantum homomorphic encryption, which allows computation by a server directly on encrypted data, is a fundamental primitive out of which more complex quantum cryptography protocols can be built. For such constructions to be possible,…

Quantum Physics · Physics 2023-04-19 Yanglin Hu , Yingkai Ouyang , Marco Tomamichel

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

Let $f=(f_0,f_1,\dots, f_{\nu-1})$ be a collection of one-to-one functions from some space~$X$ into itself such that the sets $f_j(X)$ are disjoint. If $w=w_1w_2\cdots w_k$ is a word on the alphabet $\{0,1,\dots,\nu-1\}$, let $\Phi_{f,w} =…

Cryptography and Security · Computer Science 2023-09-13 Jacques Peyriere , Fengxia Liu , Zhiyong Zheng , Zixian Gong

Oblivious data processing has been an on and off topic for the last decade or so. It provides great opportunities for secure data management and processing, especially in the cloud. At the same time, modern computing resources seem to be…

Cryptography and Security · Computer Science 2022-02-08 Vasily Sidorov , Ethan Yi Fan Wei , Wee Keong Ng

Quantum homomorphic encryption (QHE) is an encryption method that allows quantum computation to be performed on one party's private data with the program provided by another party, without revealing much information about the data nor the…

Fully Homomorphic Encryption (FHE) is seeing increasing real-world deployment to protect data in use by allowing computation over encrypted data. However, the same malleability that enables homomorphic computations also raises integrity…

Cryptography and Security · Computer Science 2023-02-14 Alexander Viand , Christian Knabenhans , Anwar Hithnawi

This article presents the application of homomorphic authenticators, replication encodings to be precise, to multigroup fully homomorphic encryption schemes. Following the works of Gennaro and Wichs on homomorphic authenticators in…

Cryptography and Security · Computer Science 2023-03-16 Ramsès Fernàndez-València

In this paper we use the nonrepresentable ring E_p(m)to introduce public key cryptosystems in noncommutative settings and based on the Semigrouop Action Problem and the Decomposition Problem respectively.

Information Theory · Computer Science 2016-06-20 Joan-Josep Climent , Juan Antonio Lopez-Ramos

Outsourced computation for neural networks allows users access to state of the art models without needing to invest in specialized hardware and know-how. The problem is that the users lose control over potentially privacy sensitive data.…

Cryptography and Security · Computer Science 2022-01-04 Robert Podschwadt , Daniel Takabi , Peizhao Hu

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,…

Much of machine learning relies on the use of large amounts of data to train models to make predictions. When this data comes from multiple sources, for example when evaluation of data against a machine learning model is offered as a…

Cryptography and Security · Computer Science 2020-01-30 Peter Fenner , Edward O. Pyzer-Knapp

Several cryptographic protocols constructed based on less-known algorithmic problems, such as those in non-commutative groups, group rings, semigroups, etc., which claim quantum security, have been broken through classical reduction methods…

Cryptography and Security · Computer Science 2022-07-28 Simran Tinani

The widespread deployment of products powered by machine learning models is raising concerns around data privacy and information security worldwide. To address this issue, Federated Learning was first proposed as a privacy-preserving…

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