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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

In this paper we consider the description of homomorphic and fully homomorphic ciphers in the $p$-adic model of encryption. This model describes a wide class of ciphers, but certainly not all. Homomorphic and fully homomorphic ciphers are…

Cryptography and Security · Computer Science 2016-03-25 Andrei Khrennikov , Ekaterina Yurova

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

Fully Homomorphic Encryption (FHE) emerges one of the most promising solutions to privacy-preserving computing in an untrusted cloud. FHE can be implemented by various schemes, each of which has distinctive advantages, i.e., some are good…

Cryptography and Security · Computer Science 2022-03-03 Lei Jiang , Lei Ju

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

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 canonical challenge of entity resolution within high-compliance sectors, where secure identity reconciliation is frequently confounded by significant data heterogeneity, including syntactic variations in personal identifiers, is a…

Cryptography and Security · Computer Science 2026-04-29 Susim Roy , Nalini Ratha

The conjugacy search problem in a group $G$ is the problem of recovering an $x \in G$ from given $g \in G$ and $h=x^{-1}gx$. The alleged computational hardness of this problem in some groups was used in several recently suggested public key…

Group Theory · Mathematics 2008-05-20 Vladimir Shpilrain , Alexander Ushakov

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,…

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

Future quantum computers are likely to be expensive and affordable outright by few, motivating client/server models for outsourced computation. However, the applications for quantum computing will often involve sensitive data, and the…

Quantum Physics · Physics 2020-03-25 Yingkai Ouyang , Si-Hui Tan , Joseph Fitzsimons , Peter P. Rohde

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

This paper introduces a completely new approach to encryption based on group theoretic quantum framework. Quantum cryptography has essentially focused only on key distribution and proceeded with classical encryption algorithm with the…

Discrete Mathematics · Computer Science 2007-05-23 N. Srinivasan , C. Sanjeevakumar , L. Sudarsan , M. Kasi Rajan , R. Venkatesh

Fundamental principles of quantum mechanics have inspired many new research directions, particularly in quantum cryptography. One such principle is quantum no-cloning which has led to the emerging field of revocable cryptography. Roughly…

Quantum Physics · Physics 2025-04-16 Prabhanjan Ananth , Saachi Mutreja , Alexander Poremba

We propose a new homomorphic encryption scheme based on the hardness of decoding under independent random noise from certain affine families of codes. Unlike in previous lattice-based homomorphic encryption schemes, where the message is…

Cryptography and Security · Computer Science 2011-11-21 Andrej Bogdanov , Chin Ho Lee

This paper addresses the design of a dedicated homophonic coding for a class of communication systems which, in order to provide both reliability and security, first encode the data before encrypting it, which is referred to as the…

Cryptography and Security · Computer Science 2015-03-17 Miodrag J. Mihaljevic , Frederique Oggier , Hideki Imai

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are easily established. Authentication and signature…

Cryptography and Security · Computer Science 2020-04-13 Ted Hurley

Modern face recognition systems utilize deep neural networks to extract salient features from a face. These features denote embeddings in latent space and are often stored as templates in a face recognition system. These embeddings are…

Cryptography and Security · Computer Science 2024-04-26 Bharat Yalavarthi , Arjun Ramesh Kaushik , Arun Ross , Vishnu Boddeti , Nalini Ratha

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

Legacy encryption systems depend on sharing a key (public or private) among the peers involved in exchanging an encrypted message. However, this approach poses privacy concerns. Especially with popular cloud services, the control over the…

Cryptography and Security · Computer Science 2017-10-09 Abbas Acar , Hidayet Aksu , A. Selcuk Uluagac , Mauro Conti
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