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Quantum cryptography has been recently extended to continuous variable systems, e.g., the bosonic modes of the electromagnetic field. In particular, several cryptographic protocols have been proposed and experimentally implemented using…

量子物理 · 物理学 2008-12-03 Stefano Pirandola , Stefano Mancini , Seth Lloyd , Samuel L. Braunstein

We establish an algorithm to encrypt and decrypt messages, where messages can be seen as elements of a finite field, using of mutations in a cluster algebra finite type.

环与代数 · 数学 2026-05-12 Martin Ortiz Morales , Leticia Pena Tellez

Recently, Dor\"oz et al. (2017) proposed a new hard problem, called the finite field isomorphism problem, and constructed a fully homomorphic encryption scheme based on this problem. In this paper, we generalize the problem to the case of…

信息论 · 计算机科学 2020-08-28 Karan Khathuria

The discrete logarithm in a finite group of large order has been widely applied in public key cryptosystem. In this paper, we will present a probabilistic algorithm for discrete logarithm.

密码学与安全 · 计算机科学 2009-03-21 An-Ping Li

This scholarly work presents an advanced cryptographic framework utilizing automorphism groups as the foundational structure for encryption scheme implementation. The proposed methodology employs a three-parameter group construction,…

密码学与安全 · 计算机科学 2025-04-23 Gennady Khalimov , Yevgen Kotukh

A quantum encryption scheme (also called private quantum channel, or state randomization protocol) is a one-time pad for quantum messages. If two parties share a classical random string, one of them can transmit a quantum state to the other…

量子物理 · 物理学 2007-05-23 Andris Ambainis , Adam Smith

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…

密码学与安全 · 计算机科学 2024-03-19 Yuqi Guo , Lin Li , Zhongxiang Zheng , Hanrui Yun , Ruoyan Zhang , Xiaolin Chang , Zhixuan Gao

The set-based estimation has gained a lot of attention due to its ability to guarantee state enclosures for safety-critical systems. However, collecting measurements from distributed sensors often requires outsourcing the set-based…

密码学与安全 · 计算机科学 2023-02-28 Amr Alanwar , Victor Gassmann , Xingkang He , Hazem Said , Henrik Sandberg , Karl Henrik Johansson , Matthias Althoff

In quantum computation, optimizing depth and number of ancillary qubits in quantum circuits is crucial due to constraints imposed by current quantum devices. This paper presents an innovative approach to implementing arbitrary symmetric…

量子物理 · 物理学 2024-04-10 Wei Zi , Junhong Nie , Xiaoming Sun

In this paper we propose a tokenization algorithm of Reversible Hybrid type, as defined in PCI DSS guidelines for designing a tokenization solution, based on a block cipher with a secret key and (possibly public) additional input. We…

密码学与安全 · 计算机科学 2019-04-26 Riccardo Longo , Massimiliano Sala , Riccardo Aragona

This paper conducts a comprehensive benchmarking analysis of the performance of two innovative cryptographic schemes: Homomorphic Polynomial Public Key (HPPK)-Key Encapsulation Mechanism (KEM) and Digital Signature (DS), recently proposed…

密码学与安全 · 计算机科学 2024-01-11 Randy Kuang , Maria Perepechaenko , Dafu Lou , Brinda Tank

We demonstrate that the framework of bounded quantum reference frames has application to building quantum-public-key cryptographic protocols and proving their security. Thus, the framework we introduce can be seen as a public-key analogue…

量子物理 · 物理学 2011-08-16 Lawrence M. Ioannou , Michele Mosca

In this paper, we propose two cryptosystems based on group rings and existing cryptosystem. First one is Elliptic ElGamal type group ring public key cryptosystem whose security is greater than security of cryptosystems based on elliptic…

群论 · 数学 2022-05-12 Gaurav Mittal , Sunil Kumar , Shiv Narain , Sandeep Kumar

A new quantum cryptography protocol, based on all unselected states of a qubit as a sort of alphabet with continuous set of letters, is proposed. Its effectiveness is calculated and shown to be essentially higher than those of the other…

量子物理 · 物理学 2007-05-23 D. V. Sych , B. A. Grishanin , V. N. Zadkov

This paper introduces a novel cryptographic approach based on the continuous logarithm in the complex circle, designed to address the challenges posed by quantum computing. By leveraging its multi-valued and spectral properties, this…

密码学与安全 · 计算机科学 2025-01-22 Jaafar Gaber

Cloud computing is a popular distributed network and utility model based technology. Since in cloud the data is outsourced to third parties, the protection of confidentiality and privacy of user data becomes important. Different methods for…

密码学与安全 · 计算机科学 2015-05-14 B. T. Prasanna , C. B. Akki

Since fully homomorphic encryption and homomorphically encrypted computing preserve algebraic identities such as 2*2=2+2, a natural question is whether this extremely utilitarian feature also sets up cryptographic attacks that use the…

密码学与安全 · 计算机科学 2014-11-19 Peter T. Breuer , Jonathan P. Bowen

Privacy computing involves the extensive exchange and processing of encrypted data. For the parties involved in these interactions, how to determine the consistency of exchanged data without accessing the original data, ensuring tamper…

密码学与安全 · 计算机科学 2024-10-24 Huang Neng

Encrypted control has been introduced to protect controller data by encryption at the stage of computation and communication, by performing the computation directly on encrypted data. In this article, we first review and categorize recent…

密码学与安全 · 计算机科学 2022-10-12 Junsoo Kim , Dongwoo Kim , Yongsoo Song , Hyungbo Shim , Henrik Sandberg , Karl H. Johansson

We define a pseudorandom function (PRF) $F: \mathcal{K} \times \mathcal{X} \rightarrow \mathcal{Y}$ to be bi-homomorphic when it is fully Key homomorphic and partially Input Homomorphic (KIH), i.e., given $F(k_1, x_1)$ and $F(k_2, x_2)$,…

密码学与安全 · 计算机科学 2020-08-24 Vipin Singh Sehrawat , Yvo Desmedt