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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

In response to the evolving landscape of quantum computing and the escalating vulnerabilities in classical cryptographic systems, our paper introduces a unified cryptographic framework. Rooted in the innovative work of Kuang et al., we…

Cryptography and Security · Computer Science 2024-02-08 Randy Kuang

When applying machine learning to sensitive data, one has to find a balance between accuracy, information security, and computational-complexity. Recent studies combined Homomorphic Encryption with neural networks to make inferences while…

Machine Learning · Computer Science 2019-06-07 Alon Brutzkus , Oren Elisha , Ran Gilad-Bachrach

In this article, an encryption scheme based on (-1, 1) conference matrix has been developed. The decryption key comprising of fixed number of positive integers with prime power yields the high level security of message. Some popular attacks…

Cryptography and Security · Computer Science 2019-12-24 Shipra Kumari , Hrishikesh Mahato

The Machine Learning and Deep Learning Models require a lot of data for the training process, and in some scenarios, there might be some sensitive data, such as customer information involved, which the organizations might be hesitant to…

Machine Learning · Computer Science 2022-08-05 Syed Imtiaz Ahamed , Vadlamani Ravi

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,…

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

Encrypted control systems allow to evaluate feedback laws on external servers without revealing private information about state and input data, the control law, or the plant. While there are a number of encrypted control schemes available…

Systems and Control · Electrical Eng. & Systems 2022-01-14 Sebastian Schlor , Michael Hertneck , Stefan Wildhagen , Frank Allgöwer

Homomorphic encryption (HE) applied to a networked controller enables secure operation, but in most cases it allows for addition and multiplication over integers only, because of computation efficiency. Several related results deal with…

Systems and Control · Electrical Eng. & Systems 2023-08-01 Junsoo Kim

We present a quantum public-key cryptosystem based on a classical NP-complete problem related with finding a code word of a given weight in a linear binary code.

Quantum Physics · Physics 2007-05-23 Li Yang

At Eurocrypt'99, Paillier presented a public-key cryptosystem based on a novel computational problem. It has interested many researchers because it was additively homomorphic. In this paper, we show that there is a big difference between…

Cryptography and Security · Computer Science 2015-11-19 Zhengjun Cao , Lihua Liu

Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions…

Cryptography and Security · Computer Science 2019-04-23 P. Hecht

Novel technological achievements in the fields of business intelligence, business management and data science are based on real-time and complex virtual networks. Sharing data between a large number of organizations that leads to a system…

Cryptography and Security · Computer Science 2023-12-29 Mohsen Kazemian , Markus Helfert

The goal of homomorphic encryption is to encrypt data such that another party can operate on it without being explicitly exposed to the content of the original data. We introduce an idea for a privacy-preserving transformation on natural…

Computation and Language · Computer Science 2020-05-28 Zhifeng Hu , Serhii Havrylov , Ivan Titov , Shay B. Cohen

Coding/decoding algorithms are of great importance to help in improving information security since information security is a more significiant problem in recent years. In this paper we introduce two new coding/decoding algorithms using…

Cryptography and Security · Computer Science 2021-01-12 Sümeyra UçAr , Nihal Taş , Nihal Yilmaz Özgür

Since the first theoretically feasible full homomorphic encryption (FHE) scheme was proposed in 2009, great progress has been achieved. These improvements have made FHE schemes come off the paper and become quite useful in solving some…

Cryptography and Security · Computer Science 2024-03-19 Yuqi Guo , Lin Li , Zhongxiang Zheng , Hanrui Yun , Ruoyan Zhang , Xiaolin Chang , Zhixuan Gao

The discrete logarithm problem is one of the backbones in public key cryptography. In this paper we study the discrete logarithm problem in the group of circulant matrices over a finite field. This gives rise to secure and fast public key…

Cryptography and Security · Computer Science 2009-09-21 Ayan Mahalanobis

Two different kinds of synchronization have been applied to cryptography: Synchronization of chaotic maps by one common external signal and synchronization of neural networks by mutual learning. By combining these two mechanisms, where the…

Statistical Mechanics · Physics 2009-11-10 Rachel Mislovaty , Einat Klein , Ido Kanter , Wolfgang Kinzel

Given two $k\times n$ matrices $A$ and $B$, we describe a couple of methods to solve the matrix equation $XA=BY$, where $X$ is an invertible $k\times k$ matrix, and $Y$ is an $n\times n$ permutation matrix, both of which we want to…

Combinatorics · Mathematics 2018-05-23 Stefan O. Tohaneanu , Jesus Vargas

In this paper, we suggest a code-based public key encryption scheme, called McNie. McNie is a hybrid version of the McEliece and Niederreiter cryptosystems and its security is reduced to the hard problem of syndrome decoding. The public key…

Cryptography and Security · Computer Science 2019-01-29 Jon-Lark Kim , Young-Sik Kim , Lucky Galvez , Myeong Jae Kim , Nari Lee