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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…

密码学与安全 · 计算机科学 2025-07-14 Gennady Khalimov , Yevgen Kotukh

We propose public-key cryptosystems with public key a system of polynomial equations, algebraic or differential, and private key a single polynomial or a small-size ideal. We set up probabilistic encryption, signature, and signcryption…

密码学与安全 · 计算机科学 2007-05-23 Ilia Toli

We construct a public-key encryption scheme from the hardness of the (planted) MinRank problem over uniformly random instances. This corresponds to the hardness of decoding random linear rank-metric codes. Existing constructions of…

密码学与安全 · 计算机科学 2025-10-07 Rohit Chatterjee , Changrui Mu , Prashant Nalini Vasudevan

Traditional methods in public key cryptography are based on number theory, and suffer from problems such as dealing with very large numbers, making key creation cumbersome. Here, we propose a new public key cryptosystem based on strings…

密码学与安全 · 计算机科学 2015-01-20 M. Andrecut

The security of neural cryptography is investigated. A key-exchange protocol over a public channel is studied where the parties exchanging secret messages use multilayer neural networks which are trained by their mutual output bits and…

无序系统与神经网络 · 物理学 2009-11-07 R. Mislovaty , Y. Perchenok , Ido Kanter , Wolfgang Kinzel

We construct three public key knapsack cryptosystems. Standard knapsack cryptosystems hide easy instances of the knapsack problem and have been broken. The systems considered in the article face this problem: They hide a random (possibly…

密码学与安全 · 计算机科学 2008-03-17 Laurent Evain

We show that many known schemes of the public key exchange protocols in the algebraic cryptography, that use two-sided multiplications, are the specific cases of the general scheme of such type. In most cases, such schemes are built on…

群论 · 数学 2017-09-20 V. A. Roman'kov

In the classical Secret-Key generation model, Common Randomness is generated by two terminals based on the observation of correlated components of a common source, while keeping it secret from a non-legitimate observer. It is assumed that…

信息论 · 计算机科学 2016-01-28 Nima Tavangaran , Holger Boche , Rafael F. Schaefer

We introduce explicit schemes based on the polarization phenomenon for the tasks of one-way secret key agreement from common randomness and private channel coding. For the former task, we show how to use common randomness and insecure…

信息论 · 计算机科学 2015-04-21 David Sutter , Joseph M. Renes , Renato Renner

We consider a coded cooperative data exchange problem with the goal of generating a secret key. Specifically, we investigate the number of public transmissions required for a set of clients to agree on a secret key with probability one,…

信息论 · 计算机科学 2014-07-02 Thomas A. Courtade , Thomas R. Halford

This paper presents results on generalized public key cryptography with exponentials modulo primes and composite numbers where the mapping is not one-to-one and the uniqueness is achieved by additional side information. Such transformations…

密码学与安全 · 计算机科学 2013-04-18 Gunjan Talati , Subhash Kak

Recently, a novel public key edcryption technique based on multiple chaotic systems has been proposed. The scheme employs m-chaotic systmes and a set of linear functions for key exchange over an insecure channel. The security of the…

混沌动力学 · 物理学 2009-11-11 K. wang , W. J. Pei , Z. L. Hua , Z. Y. He

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

We formalize and study the notion of a quantum trapdoor function. This is an efficiently computable unitary that takes as input a "public" quantum state and a classical string $x$, and outputs a quantum state. This map is such that (i) it…

量子物理 · 物理学 2023-04-26 Andrea Coladangelo

We give a public key encryption scheme with plausible quasi-exponential security based on the conjectured intractability of two constraint satisfaction problems (CSPs), both of which are instantiated with a corruption rate of $1 - o(1)$.…

密码学与安全 · 计算机科学 2026-04-14 Isaac M Hair , Amit Sahai

In this paper, we propose to use a twisted dihedral group algebra for public-key cryptography. For this, we introduce a new $2$-cocycle $\alpha_{\lambda}$ to twist the dihedral group algebra. Using the ambient space…

密码学与安全 · 计算机科学 2021-12-16 Javier de la Cruz , Ricardo Villanueva-Polanco

Let $f=(f_0,f_1,\dots, f_{\nu-1})$ be a collection of one-to-one functions from some space~$X$ into itself such that the sets $f_j(X)$ are disjoint. If $w=w_1w_2\cdots w_k$ is a word on the alphabet $\{0,1,\dots,\nu-1\}$, let $\Phi_{f,w} =…

密码学与安全 · 计算机科学 2023-09-13 Jacques Peyriere , Fengxia Liu , Zhiyong Zheng , Zixian Gong

Two different kinds of synchronization have been applied to cryptography: Synchronization of chaotic maps by one common external signal and synchronization of neural networks by mutual learning. By combining these two mechanisms, where the…

统计力学 · 物理学 2009-11-10 Rachel Mislovaty , Einat Klein , Ido Kanter , Wolfgang Kinzel

It is an important question to find constructions of quantum cryptographic protocols which rely on weaker computational assumptions than classical protocols. Recently, it has been shown that oblivious transfer and multi-party computation…

密码学与安全 · 计算机科学 2023-06-22 Alex B. Grilo , Or Sattath , Quoc-Huy Vu

Chebyshev polynomials have been recently proposed for designing public-key systems. Indeed, they enjoy some nice chaotic properties, which seem to be suitable for use in Cryptography. Moreover, they satisfy a semi-group property, which…

密码学与安全 · 计算机科学 2007-05-23 Pina Bergamo , Paolo D'Arco , Alfredo De Santis , Ljupco Kocarev
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