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相关论文: Using decision problems in public key cryptography

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We consider a setup in which the channel from Alice to Bob is less noisy than the channel from Eve to Bob. We show that there exist encoding and decoding which accomplish error correction and authentication simultaneously; that is, Bob is…

信息论 · 计算机科学 2018-04-06 Dimiter Ostrev

In the last two decades, there has been much effort in finding secure protocols for two-party cryptographic tasks. It has since been discovered that even with quantum mechanics, many such protocols are limited in their security promises. In…

量子物理 · 物理学 2025-01-22 Akshay Bansal , Jamie Sikora

A method for non-abelian Cramer-Shoup cryptosystem is presented. The role of decision and search is explored, and the platform of solvable/polycyclic group is suggested. In the process we review recent progress in non-abelian cryptography…

群论 · 数学 2013-09-19 Michael Anshel , Delaram Kahrobaei

In 1999, public key cryptography using the matrix was devised by a hish school student of 16 yesrs old girl Sarah Flannery. This cryptosystem seemed faster than RSA, and it's having the strength to surpass even the encryption to RSA.…

密码学与安全 · 计算机科学 2023-08-15 Yoshihiro Terasawa

A public-key cryptosystem, digital signature and authentication procedures based on a Gallager-type parity-check error-correcting code are presented. The complexity of the encryption and the decryption processes scale linearly with the size…

无序系统与神经网络 · 物理学 2009-10-31 I. Kanter , E. Kanter , L. Ein-Dor

We propose a new homomorphic public-key cryptosystem over arbitrary nonidentity finite group based on the difficulty of the membership problem for groups of integer matrices. Besides, a homomorphic cryptosystem is designed for the first…

密码学与安全 · 计算机科学 2007-05-23 Dima Grigoriev , Ilia Ponomarenko

How could quantum cryptography help us achieve what are not achievable in classical cryptography? In this work we study the classical cryptographic problem that two parties would like to perform secure computations with long outputs. As a…

量子物理 · 物理学 2025-08-14 Jiayu Zhang

Consider the situation where a word is chosen probabilistically from a finite list. If an attacker knows the list and can inquire about each word in turn, then selecting the word via the uniform distribution maximizes the attacker's…

信息论 · 计算机科学 2013-05-14 Mark M. Christiansen , Ken R. Duffy , Flavio du Pin Calmon , Muriel Medard

The goal of two-party cryptography is to enable two parties, Alice and Bob, to solve common tasks without the need for mutual trust. Examples of such tasks are private access to a database, and secure identification. Quantum communication…

量子物理 · 物理学 2016-05-10 Jędrzej Kaniewski , Stephanie Wehner

In 1991 the first public key protocol involving automaton groups has been proposed. In this paper we give a survey about algorithmic problems around automaton groups which may have potential applications in cryptography. We then present a…

群论 · 数学 2023-06-21 Delaram Kahrobaei , Marialaura Noce , Emanuele Rodaro

Inspired from quantum key distribution, we consider wireless communication between Alice and Bob when the intermediate space between Alice and Bob is controlled by Eve. That is, our model divides the channel noise into two parts, the noise…

信息论 · 计算机科学 2024-09-10 Masahito Hayashi

Assume that two distant parties, Alice and Bob, as well as an adversary, Eve, have access to (quantum) systems prepared jointly according to a tripartite state. In addition, Alice and Bob can use local operations and authenticated public…

Cryptographic access control has been studied for over 30 years and is now a mature research topic. When symmetric cryptographic primitives are used, each protected resource is encrypted and only authorized users should have access to the…

密码学与安全 · 计算机科学 2015-06-02 Jason Crampton , Naomi Farley , Gregory Gutin , Mark Jones , Bertram Poettering

This work presents a novel method to generate secret keys shared between a legitimate node pair (Alice and Bob) to safeguard the communication between them from an unauthorized node (Eve). To this end, we exploit the {\it reciprocal carrier…

密码学与安全 · 计算机科学 2019-03-01 Waqas Aman , Aneeqa Ijaz , M. Mahboob Ur Rahman , Dushanta Nalin K. Jayakody , Haris Pervaiz

We consider the following communication problem: Alice and Bob each have some valuation functions $v_1(\cdot)$ and $v_2(\cdot)$ over subsets of $m$ items, and their goal is to partition the items into $S, \bar{S}$ in a way that maximizes…

计算机科学与博弈论 · 计算机科学 2017-04-13 Mark Braverman , Jieming Mao , S. Matthew Weinberg

Secure key distribution among two remote parties is impossible when both are classical, unless some unproven (and arguably unrealistic) computation-complexity assumptions are made, such as the difficulty of factorizing large numbers. On the…

量子物理 · 物理学 2009-11-13 Michel Boyer , Dan Kenigsberg , Tal Mor

We suggest the usage of algebraic subsets instead of subgroups in public-key cryptography. In particular, we present the subset version of two protocols introduced by Shpilrain and Ushakov with some examples in ascending HNN-extensions of…

群论 · 数学 2023-11-28 André Carvalho , António Malheiro

An attack on the ``Bennett-Brassard 84''(BB84) quantum key-exchange protocol in which Eve exploits the action of gravitation to infer information about the quantum-mechanical state of the qubit exchanged between Alice and Bob, is described.…

量子物理 · 物理学 2007-05-23 R. Plaga

We discuss a new attack, termed a dimension or linear decomposition attack, on several known group-based cryptosystems. This attack gives a polynomial time deterministic algorithm that recovers the secret shared key from the public data in…

群论 · 数学 2015-06-18 Vitaliǐ Roman'kov , Alexei Myasnikov

The Ring Learning-With-Errors (LWE) problem, whose security is based on hard ideal lattice problems, has proven to be a promising primitive with diverse applications in cryptography. There are however recent discoveries of faster algorithms…

密码学与安全 · 计算机科学 2017-06-22 Qi Cheng , Jun Zhang , Jincheng Zhuang