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Related papers: Applications of Automaton Groups in Cryptography

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The algebraic structure of the group generated by the encryption functions of a block cipher depends on the key schedule algorithm used for generating the round keys. For such a reason, in general, studying this group does not appear to be…

Group Theory · Mathematics 2020-02-06 Marco Calderini

This article surveys the use of algorithmic systems to support decision-making in the public sector. Governments adopt, procure, and use algorithmic systems to support their functions within several contexts -- including criminal justice,…

Computers and Society · Computer Science 2021-06-11 Karen Levy , Kyla Chasalow , Sarah Riley

At Crypto 2011, some of us had proposed a family of cryptographic protocols for key establishment capable of protecting quantum and classical legitimate parties unconditionally against a quantum eavesdropper in the query complexity model.…

Quantum Physics · Physics 2021-03-23 Aleksandrs Belovs , Gilles Brassard , Peter Hoyer , Marc Kaplan , Sophie Laplante , Louis Salvail

Finding groups of connected individuals in large graphs with tens of thousands or more nodes has received considerable attention in academic research. In this paper, we analyze three main issues with respect to the recent influx of papers…

Data Structures and Algorithms · Computer Science 2017-05-24 Pieter Leyman , Patrick De Causmaecker

This article presets a review of the achievements rapidly developing field of cryptography - public-key cryptography based on the lattice theory. Paper contains the necessary basic concepts and the major problems of the lattice theory, as…

Cryptography and Security · Computer Science 2010-09-14 V. S. Usatyuk

Chatbots, the common moniker for collaborative assistants, are Artificial Intelligence (AI) software that enables people to naturally interact with them to get tasks done. Although chatbots have been studied since the dawn of AI, they have…

Human-Computer Interaction · Computer Science 2023-09-15 Biplav Srivastava , Kausik Lakkaraju , Tarmo Koppel , Vignesh Narayanan , Ashish Kundu , Sachindra Joshi

Secure group communications are a mechanism facilitating protected transmission of messages from a sender to multiple receivers, and many emerging applications in both wired and wireless networks need the support of such a mechanism. There…

Cryptography and Security · Computer Science 2020-10-13 Shouhuai Xu

We introduce a new tool, called the orbit automaton, that describes the action of an automaton group $G$ on the subtrees corresponding to the orbits of $G$ on levels of the tree. The connection between $G$ and the groups generated by the…

Group Theory · Mathematics 2014-12-04 Ines Klimann , Matthieu Picantin , Dmytro Savchuk

We study, from a constructive computational point of view, the techniques used to solve the conjugacy problem in the "generic" lattice-ordered group Aut(R) of order automorphisms of the real line. We use these techniques in order to show…

Group Theory · Mathematics 2010-08-02 W. Charles Holland , Boaz Tsaban

In this work we provide a suite of protocols for group key management based on general semigroup actions. Construction of the key is made in a distributed and collaborative way. Examples are provided that may in some cases enhance the…

Information Theory · Computer Science 2016-07-29 Juan Antonio Lopez-Ramos , Joachim Rosenthal , Davide Schipani , Reto Schnyder

Quantum cryptography uses techniques and ideas from physics and computer science. The combination of these ideas makes the security proofs of quantum cryptography a complicated task. To prove that a quantum-cryptography protocol is secure,…

Quantum Physics · Physics 2015-05-13 Normand J. Beaudry

We suggest several automaton groups as key-agreement platforms for Anshl-Anshel-Goldfeld metascheme, they include Grigorchuk and universal Grigorchuk groups, Hanoi 3-Towers group, Basilica group and a subgroup of the affine group with the…

Cryptography and Security · Computer Science 2019-05-09 Rostislav Grigorchuk , Dima Grigoriev

The problem of security of quantum key protocols is examined. In addition to the distribution of classical keys, the problem of encrypting quantum data and the structure of the operators which perform quantum encryption is studied. It is…

Quantum Physics · Physics 2016-09-08 P. Oscar Boykin

The population protocol model introduced by Angluin et al. in 2006 offers a theoretical framework for designing and analyzing distributed algorithms among limited-resource mobile agents. While the original population protocol model…

Cryptography and Security · Computer Science 2023-05-05 Talley Amir , James Aspnes

The obstacles of each security system combined with the increase of cyber-attacks, negatively affect the effectiveness of network security management and rise the activities to be taken by the security staff and network administrators. So,…

Cryptography and Security · Computer Science 2025-02-06 Mamoon A. Al Jbaar , Adel Jalal Yousif , Qutaiba I. Ali

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…

Statistical Mechanics · Physics 2009-11-10 Rachel Mislovaty , Einat Klein , Ido Kanter , Wolfgang Kinzel

The community deception problem is about how to hide a target community C from community detection algorithms. The need for deception emerges whenever a group of entities (e.g., activists, police enforcements) want to cooperate while…

Social and Information Networks · Computer Science 2016-09-02 Valeria Fionda , Giuseppe Pirrò

In this paper we propose right-angled Artin groups as a platform for secret sharing schemes based on the efficiency (linear time) of the word problem. Inspired by previous work of Grigoriev-Shpilrain in the context of graphs, we define two…

Cryptography and Security · Computer Science 2017-02-15 Ramón Flores , Delaram Kahrobaei

In this paper homomorphic cryptosystems are designed for the first time over any finite group. Applying Barrington's construction we produce for any boolean circuit of the logarithmic depth its encrypted simulation of a polynomial size over…

Cryptography and Security · Computer Science 2007-05-23 Dima Grigoriev , Ilia Ponomarenko

A first multi-proxy multi-signcryption scheme from pairings, which efficiently combines a multi-proxy multi-signature scheme with a signcryption, is proposed. Its security is analyzed in detail. In our scheme, a proxy signcrypter group…

Cryptography and Security · Computer Science 2007-05-23 Liu Jun-Bao , Xiao Guo-Zhen
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