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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…

密码学与安全 · 计算机科学 2016-05-24 Haibo Hong , Jun Shao , Licheng Wang , Haseeb Ahmad , Yixian Yang

We review the notion of a classical random cipher and its advantages. We sharpen the usual description of random ciphers to a particular mathematical characterization suggested by the salient feature responsible for their increased…

量子物理 · 物理学 2009-11-13 Ranjith Nair , Horace P. Yuen , Eric Corndorf , Takami Eguchi , Prem Kumar

Reducing the conditions under which a given set satisfies the stipulations of the subset sum proposition to a set of linear relationships, the question of whether a set satisfies subset sum may be answered in a polynomial number of steps by…

数据结构与算法 · 计算机科学 2017-05-16 Aubrey Alston

Encryption schemes often derive their power from the properties of the underlying algebra on the symbols used. Inspired by group theoretic tools, we use the centralizer of a subgroup of operations to present a private-key quantum…

量子物理 · 物理学 2020-02-21 Si-Hui Tan , Joshua A. Kettlewell , Yingkai Ouyang , Lin Chen , Joseph F. Fitzsimons

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…

密码学与安全 · 计算机科学 2013-10-10 Iti Sharma

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,…

分布式、并行与集群计算 · 计算机科学 2013-03-05 Ramesh Babu , George Abraham , Kiransinh Borasia

Polar codes are a new class of error correcting linear block codes, whose generator matrix is specified by the knowledge of transmission channel parameters, code length and code dimension. Moreover, regarding computational security, it is…

密码学与安全 · 计算机科学 2014-01-08 Reza Hooshmand

As the first step in an approach to the solution of Hilbert's sixth problem, a general scheme of mechanics, called `supmech', is developed integrating noncommutative symplectic geometry and noncommutative probability theory in an algebraic…

量子物理 · 物理学 2010-12-22 Tulsi Dass

In this paper we discuss generic properties of "random subgroups" of a given group G. It turns out that in many groups G (even in most exotic of them) the random subgroups have a simple algebraic structure and they "sit" inside G in a very…

群论 · 数学 2007-07-12 Alexei G. Myasnikov , Alexander Ushakov

Smart grid is a self-sufficient system. That tracks how the energy is used from its source to its final destination. The smart grid can increase the service quality while reducing the consumption of electricity. However, the safety and…

密码学与安全 · 计算机科学 2023-06-16 Shivali Meenakshi

An elliptic curve-based signcryption scheme is introduced in this paper that effectively combines the functionalities of digital signature and encryption, and decreases the computational costs and communication overheads in comparison with…

密码学与安全 · 计算机科学 2012-03-21 M. Toorani , A. A. Beheshti

The key encapsulation mechanism Edon-K was proposed in response to the call for post-quantum cryptography standardization issued by the National Institute of Standards and Technologies (NIST). This scheme is inspired by the McEliece scheme…

密码学与安全 · 计算机科学 2018-02-20 Matthieu Lequesne , Jean-Pierre Tillich

This article defines encrypted gate, which is denoted by $EG[U]:|\alpha\rangle\rightarrow\left((a,b),Enc_{a,b}(U|\alpha\rangle)\right)$. We present a gate-teleportation-based two-party computation scheme for $EG[U]$, where one party gives…

量子物理 · 物理学 2018-12-19 Min Liang

Cloud computing is the broad and diverse phenomenon. Users are allowed to store huge amount of data on cloud storage for future use. Most of the cloud service providers store data in plain text format or in secured manner but client will…

密码学与安全 · 计算机科学 2022-02-02 Fahina , Shwetha U , Poorna , Supriya , Rama Moorthy H , Dr. Vasudeva

Privacy-preserving cryptocurrency exchanges (shielded AMMs, batched swap auctions, sealed-bid order-flow auctions) alter what the pricing mechanism observes about order flow. We derive the unique linear Kyle equilibrium when a committed…

计算机科学与博弈论 · 计算机科学 2026-05-28 Yuki Nakamura

Secure computation often benefits from the use of correlated randomness to achieve fast, non-cryptographic online protocols. A recent paradigm put forth by Boyle $\textit{et al.}$ (CCS 2018, Crypto 2019) showed how pseudorandom correlation…

密码学与安全 · 计算机科学 2023-06-07 Maxime Bombar , Geoffroy Couteau , Alain Couvreur , Clément Ducros

By analogy to classical cryptography, we develop a "quantum public key" based cryptographic scheme in which the two public and private keys consist in each of two entangled beams of squeezed light. An analog message is encrypted by…

量子物理 · 物理学 2007-05-23 Patrick Navez , Alessandra Gatti , Luigi A. Lugiato

A scheme is presented based on numbers that represent a manifold in $d$ dimensions for generalizations of textbook cryptosystems. The interlocking or intersection of geometries, requiring the addition of a series of integers $q_j$, can be…

综合物理 · 物理学 2007-05-23 Gordon Chalmers

In this letter we propose Meta-key, a data-sharing mechanism that enables users share their encrypted data under a blockchain-based decentralized storage architecture. All the data-encryption keys are encrypted by the owner's public key and…

分布式、并行与集群计算 · 计算机科学 2020-05-26 Dagang Li , Rong Du , Man Ho Au , Yue Fu

Bell's theorem rests on the following fundamental condition for a local system: P(a,b|alpha, beta, lambda)= P(a|alpha, lambda)P(b|beta, lambda). Here a and b are the outcomes respectively for measurements alpha on one side, and beta on the…

量子物理 · 物理学 2012-08-23 Warren Leffler