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Homomorphic encryption (HE) is a privacy-preserving technique that enables computation directly over ciphertext. Unfortunately, a key challenge for HE is that implementations can be impractically slow and have limits on computation that can…

Cryptography and Security · Computer Science 2022-03-08 Hsuan Hsiao , Vincent Lee , Brandon Reagen , Armin Alaghi

This article describes a lightweight additive homomorphic algorithm with the same encryption and decryption keys. Compared to standard additive homomorphic algorithms like Paillier, this algorithm reduces the computational cost of…

Cryptography and Security · Computer Science 2024-04-03 Wuqiong Pan , Hongliang Gu

In this paper, we evaluate the different fully homomorphic encryption schemes, propose an implementation, and numerically analyze the applicability of gradient descent algorithms to solve quadratic programming in a homomorphic encryption…

Cryptography and Security · Computer Science 2023-09-06 André Bertolace , Konstantinos Gatsis , Kostas Margellos

Suppose some data have been encrypted, can you compute with the data without decrypting them? This problem has been studied as homomorphic encryption and blind computing. We consider this problem in the context of quantum information…

Quantum Physics · Physics 2014-08-26 Min Liang

Homomorphic Encryption (HE) allows secure and privacy-protected computation on encrypted data without the need to decrypt it. Since Shor's algorithm rendered prime factorisation and discrete logarithm-based ciphers insecure with quantum…

Cryptography and Security · Computer Science 2025-04-24 Siddhartha Siddhiprada Bhoi , Arathi Arakala , Amy Beth Corman , Asha Rao

This paper gives the definitions of an extra superincreasing sequence and an anomalous subset sum, and proposes a fast quantum-safe asymmetric cryptosystem called JUOAN2. The new cryptosystem is based on an additive multivariate permutation…

Cryptography and Security · Computer Science 2017-10-04 Shenghui Su , Jianhua Zheng , Shuwang Lu

Brakerski showed that linearly decryptable fully homomorphic encryption (FHE) schemes cannot be secure in the chosen plaintext attack (CPA) model. In this paper, we show that linearly decryptable FHE schemes cannot be secure even in the…

Cryptography and Security · Computer Science 2019-06-07 Yongge Wang

We analyze the security of recently proposed image encryption scheme [1]. We show that the scheme is insecure and the methods used to evaluate its security are insufficient. By designing the Deliberately Weak Cipher, a completely vulnerable…

Cryptography and Security · Computer Science 2018-09-25 Martin Stanek

This review is aimed to evaluate the importance of Symmetric Key Cryptography for Security in Distributed Systems. Businesses around the world as well as research and other such areas rely heavily on distributed systems these days. Hence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-05 Ramesh Babu , George Abraham , Kiransinh Borasia

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

Outsourced databases powered by fully homomorphic encryption (FHE) offer the promise of secure data processing on untrusted cloud servers. A crucial aspect of database functionality, and one that has remained challenging to integrate…

Databases · Computer Science 2024-12-31 Dongfang Zhao

The signcryption is a relatively new cryptographic technique that is supposed to fulfill the functionalities of encryption and digital signature in a single logical step. Although several signcryption schemes are proposed over the years,…

Cryptography and Security · Computer Science 2012-03-21 M. Toorani , A. A. Beheshti

The Hidden Subset Sum Problem (HSSP) is a significant NP-complete problem in number theory and combinatorics, with applications in cryptography and AI privacy. For the $(n,k)$-complete HSSP, where a target multiset must be recovered from…

Combinatorics · Mathematics 2025-02-25 Lixia Luo , Changheng Li , Qiongxiu Li

Homomorphic encryption is a very useful gradient protection technique used in privacy preserving federated learning. However, existing encrypted federated learning systems need a trusted third party to generate and distribute key pairs to…

Cryptography and Security · Computer Science 2020-11-26 Hangyu Zhu , Rui Wang , Yaochu Jin , Kaitai Liang , Jianting Ning

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

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

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

The ability to hide information from unauthorized individuals has been a prevalent issue over the years. Countless algorithms such as DES, AES and SHA have been developed. These algorithms depend on varying key length and key management…

Cryptography and Security · Computer Science 2012-09-14 Samuel King Opoku

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

Security of information has become a major issue during the last decades. New algorithms based on chaotic maps were suggested for protection of different types of multimedia data, especially digital images and videos in this period.…

Chaotic Dynamics · Physics 2010-10-22 Sohrab Behnia , Afshin Akhshani , Amir Akhavan , Hadi Mahmodi