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Homomorphic encryption (HE) allows computations to be directly carried out on ciphertexts and is essential to privacy-preserving computing, such as neural network inference, medical diagnosis, and financial data analysis. Only addition and…

Cryptography and Security · Computer Science 2025-07-24 Sajjad Akherati , Yok Jye Tang , Xinmiao Zhang

The discrete logarithm is a problem that surfaces frequently in the field of cryptography as a result of using the transformation g^a mod n. This paper focuses on a prime modulus, p, for which it is shown that the basic structure of the…

Number Theory · Mathematics 2010-11-29 Daniel R. Cloutier , Joshua Holden

Data privacy is a significant concern when using numerical simulations for sensitive information such as medical, financial, or engineering data -- especially in untrusted environments like public cloud infrastructures. Fully homomorphic…

Numerical Analysis · Mathematics 2025-09-25 Arseniy Kholod , Yuriy Polyakov , Michael Schlottke-Lakemper

Machine Learning (ML) has emerged as one of data science's most transformative and influential domains. However, the widespread adoption of ML introduces privacy-related concerns owing to the increasing number of malicious attacks targeting…

Machine Learning · Computer Science 2024-01-29 Eugene Frimpong , Khoa Nguyen , Mindaugas Budzys , Tanveer Khan , Antonis Michalas

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

We propose a homomorphic search protocol based on quantum homomorphic encryption, in which a client Alice with limited quantum ability can give her encrypted data to a powerful but untrusted quantum server and let the server search for her…

Quantum Physics · Physics 2020-03-24 Qing Zhou , Songfeng Lu

ZK111 is a fully homomorphic public key encryption algorithm which runs in quadratic time. It's security solely relies upon a very unique 'color-blind' function which is used to create p-adic ring homomorphism.

Cryptography and Security · Computer Science 2012-09-28 Zaryab Khan

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

Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

Homomorphic encryption (HE) allows secure computation on encrypted data without revealing the original data, providing significant benefits for privacy-sensitive applications. Many cloud computing applications (e.g., DNA read mapping,…

Cryptography and Security · Computer Science 2025-03-13 Mayank Kabra , Rakesh Nadig , Harshita Gupta , Rahul Bera , Manos Frouzakis , Vamanan Arulchelvan , Yu Liang , Haiyu Mao , Mohammad Sadrosadati , Onur Mutlu

The holomorph of a discrete group $G$ is the universal semi-direct product of $G$. In chapter 1 we describe why it is an interesting object and state main results. In chapter 2 we recall the classical definition of the holomorph as well as…

Group Theory · Mathematics 2007-05-23 Maria S. Voloshina

Aiming at a ternary quantum logic circuit, four symmetric ternary quantum homomorphic encryption schemes, based on ternary quantum one-time protocol, were presented. First, for a one-qutrit rotation gate, a homomorphic quantum encryption…

Quantum Physics · Physics 2015-05-13 Yuqi Wang , Kun She , Qingbin Luo , Fan Yang , Chao Zhao

Ensuring the confidentiality and privacy of sensitive information in cloud computing and outsourced databases is crucial. Homomorphic encryption (HE) offers a solution by enabling computations on encrypted data without decryption, allowing…

Cryptography and Security · Computer Science 2023-06-27 Dongfang Zhao

Based on our previous work on truly concurrent process algebras APTC, we use it to verify the security protocols. This work (called Secure APTC, abbreviated SAPTC) have the following advantages in verifying security protocols: (1) It has a…

Logic in Computer Science · Computer Science 2021-10-26 Yong Wang

In data-driven predictive cloud control tasks, the privacy of data stored and used in cloud services could be leaked to malicious attackers or curious eavesdroppers. Homomorphic encryption technique could be used to protect data privacy…

Systems and Control · Electrical Eng. & Systems 2023-02-07 Qiwen Li , Runze Gao , Yuanqing Xia

Computational privacy is a property of cryptographic system that ensures the privacy of data being processed at an untrusted server. Fully Homomorphic Encryption Schemes (FHE) promise to provide such property. Contemporary FHE schemes are…

Cryptography and Security · Computer Science 2014-06-10 Sashank Dara

Deep learning (DL) approaches are achieving extraordinary results in a wide range of domains, but often require a massive collection of private data. Hence, methods for training neural networks on the joint data of different data owners,…

Cryptography and Security · Computer Science 2021-10-27 Derian Boer , Stefan Kramer

Privacy-preserving machine learning has become an important long-term pursuit in this era of artificial intelligence (AI). Fully Homomorphic Encryption (FHE) is a uniquely promising solution, offering provable privacy and security…

Cryptography and Security · Computer Science 2026-03-30 Cory Brynds , Parker McLeod , Lauren Caccamise , Asmita Pal , Dewan Saiham , Sazadur Rahman , Joshua San Miguel , Di Wu

As quantum computing technology continues to advance, post-quantum cryptographic methods capable of resisting quantum attacks have emerged as a critical area of focus. Given the potential vulnerability of existing homomorphic encryption…

Cryptography and Security · Computer Science 2025-06-25 Abel C. H. Chen

Many graph mining and analysis services have been deployed on the cloud, which can alleviate users from the burden of implementing and maintaining graph algorithms. However, putting graph analytics on the cloud can invade users' privacy. To…

Cryptography and Security · Computer Science 2015-03-19 Pengtao Xie , Eric Xing