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Homomorphic encryption is a powerful cryptographic tool that enables secure computations on the private data. It evaluates any function for any operation securely on the encrypted data without knowing its corresponding plaintext. For…

Cryptography and Security · Computer Science 2025-09-18 Giovanni Giuseppe Grimaldi

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

Homomorphic encryption is a sophisticated encryption technique that allows computations on encrypted data to be done without the requirement for decryption. This trait makes homomorphic encryption appropriate for safe computation in…

Cryptography and Security · Computer Science 2023-05-11 Nimish Jain , Aswani Kumar Cherukuri

A characterization of predicate encryption (PE) with support for homomorphic operations is presented and we describe the homomorphic properties of some existing PE constructions. Even for the special case of IBE, there are few known…

Cryptography and Security · Computer Science 2013-11-07 Michael Clear , Arthur Hughes , Hitesh Tewari

The theory of finite simple groups is a (rather unexplored) area likely to provide interesting computational problems and modelling tools useful in a cryptographic context. In this note, we review some applications of finite non-abelian…

Group Theory · Mathematics 2023-08-29 María Isabel González Vasco , Delaram Kahrobaei , Eilidh McKemmie

This paper proposes a new homomorphic functional encryption using modular multiplications over a hidden ring. Unlike traditional homomorphic encryption where users can only passively perform ciphertext addition or multiplication, the…

Cryptography and Security · Computer Science 2023-01-31 Randy Kuang , Maria Perepechaenko , Ryan Toth

Fully homomorphic encryption (FHE) allows anyone to perform computations on encrypted data, despite not having the secret decryption key. Since the Gentry's work in 2009, the primitive has interested many researchers. In this paper, we…

Cryptography and Security · Computer Science 2015-11-18 Zhengjun Cao , Lihua Liu

Predicate encryption is a new paradigm of public key encryption that enables searches on encrypted data. Using the predicate encryption, we can search keywords or attributes on encrypted data without decrypting the ciphertexts. In predicate…

Cryptography and Security · Computer Science 2017-02-27 Kwangsu Lee

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

In this paper, we propose a brand new public key encryption scheme in the Lie group that is a non-abelian group. In particular, we firstly investigate the intractability assumptions in the Lie group, including the non-abelian factoring…

Cryptography and Security · Computer Science 2016-05-24 Haibo Hong , Jun Shao , Licheng Wang , Haseeb Ahmad , Yixian Yang

Homomorphic encryption has largely been studied in context of public key cryptosystems. But there are applications which inherently would require symmetric keys. We propose a symmetric key encryption scheme with fully homomorphic evaluation…

Cryptography and Security · Computer Science 2013-10-10 Iti Sharma

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

An oblivious pseudorandom function (OPRF) is a protocol by which a client and server interact to evaluate a pseudorandom function on a key provided by the server and an input provided by the client, without divulging the key or input to the…

Cryptography and Security · Computer Science 2025-07-23 Xinyuan Zhang , Anrin Chakraborti , Michael Reiter

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

Based on quantum encryption, we present a new idea for quantum public-key cryptography (QPKC) and construct a whole theoretical framework of a QPKC system. We show that the quantum-mechanical nature renders it feasible and reasonable to use…

Quantum Physics · Physics 2009-12-23 Fei Gao , Qiao-Yan Wen , Su-Juan Qin , Fu-Chen Zhu

In [15], Leonardi and Ruiz-Lopez propose an additively homomorphic public key encryption scheme whose security is expected to depend on the hardness of the learning homomorphism with noise problem (LHN). Choosing parameters for their…

Predicate encryption is a new type of public key encryption that enables searches on encrypted data. By using predicate encryption, we can search keywords or attributes on encrypted data without decrypting ciphertexts. Hidden vector…

Cryptography and Security · Computer Science 2016-11-10 Kwangsu Lee

We construct unclonable encryption (UE) in the Haar random oracle model, where all parties have query access to $U,U^\dagger,U^*,U^T$ for a Haar random unitary $U$. Our scheme satisfies the standard notion of unclonable indistinguishability…

Cryptography and Security · Computer Science 2026-03-13 James Bartusek , Eli Goldin

We propose a public key encryption cryptosystem based on solutions of linear equation systems with predefinition of input parameters through shared secret computation for factorizable substitutions. The existence of multiple equivalent…

Cryptography and Security · Computer Science 2025-07-14 Gennady Khalimov , Yevgen Kotukh

We study the problem of providing privacy-preserving access to an outsourced honest-but-curious data repository for a group of trusted users. We show that such privacy-preserving data access is possible using a combination of probabilistic…

Cryptography and Security · Computer Science 2011-05-23 Michael T. Goodrich , Michael Mitzenmacher , Olga Ohrimenko , Roberto Tamassia
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