Interactions between Group Theory, Symmetry and Cryptology
Title | Interactions between Group Theory, Symmetry and Cryptology PDF eBook |
Author | María Isabel González Vasco |
Publisher | MDPI |
Pages | 164 |
Release | 2020-04-22 |
Genre | Mathematics |
ISBN | 3039288024 |
Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.
Abstract Algebra: Group Theory
Title | Abstract Algebra: Group Theory PDF eBook |
Author | N.B. Singh |
Publisher | N.B. Singh |
Pages | 130 |
Release | |
Genre | Mathematics |
ISBN |
Geometric Methods in Signal and Image Analysis
Title | Geometric Methods in Signal and Image Analysis PDF eBook |
Author | Hamid Krim |
Publisher | Cambridge University Press |
Pages | 299 |
Release | 2015-06-18 |
Genre | Computers |
ISBN | 110703390X |
A comprehensive guide to modern geometric methods for signal and image analysis, from basic principles to state-of-the-art concepts and applications.
Theory of Quantum Computation, Communication, and Cryptography
Title | Theory of Quantum Computation, Communication, and Cryptography PDF eBook |
Author | Kazuo Iwama |
Publisher | Springer |
Pages | 161 |
Release | 2013-01-05 |
Genre | Computers |
ISBN | 3642356567 |
This book constitutes revised selected papers from the 7th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2012, held in Tokyo, Japan, in May 2012. The 12 papers presented were carefully reviewed and selected for inclusion in this book. They contain original research on the rapidly growing, interdisciplinary field of quantum computation, communication and cryptography. Topics addressed are such as quantum algorithms, quantum computation models, quantum complexity theory, simulation of quantum systems, quantum programming languages, quantum cryptography, quantum communication, quantum estimation, quantum measurement, quantum tomography, completely positive maps, decoherence, quantum noise, quantum coding theory, fault-tolerant quantum computing, entanglement theory, and quantum teleportation.
Interactions between Group Theory, Symmetry and Cryptology
Title | Interactions between Group Theory, Symmetry and Cryptology PDF eBook |
Author | María Isabel González Vasco |
Publisher | |
Pages | 164 |
Release | 2020 |
Genre | Mathematics |
ISBN | 9783039288038 |
Cryptography lies at the heart of most technologies deployed today for secure communications. At the same time, mathematics lies at the heart of cryptography, as cryptographic constructions are based on algebraic scenarios ruled by group or number theoretical laws. Understanding the involved algebraic structures is, thus, essential to design robust cryptographic schemes. This Special Issue is concerned with the interplay between group theory, symmetry and cryptography. The book highlights four exciting areas of research in which these fields intertwine: post-quantum cryptography, coding theory, computational group theory and symmetric cryptography. The articles presented demonstrate the relevance of rigorously analyzing the computational hardness of the mathematical problems used as a base for cryptographic constructions. For instance, decoding problems related to algebraic codes and rewriting problems in non-abelian groups are explored with cryptographic applications in mind. New results on the algebraic properties or symmetric cryptographic tools are also presented, moving ahead in the understanding of their security properties. In addition, post-quantum constructions for digital signatures and key exchange are explored in this Special Issue, exemplifying how (and how not) group theory may be used for developing robust cryptographic tools to withstand quantum attacks.
Cryptology and Network Security
Title | Cryptology and Network Security PDF eBook |
Author | Juan A. Garay |
Publisher | Springer |
Pages | 551 |
Release | 2009-11-23 |
Genre | Computers |
ISBN | 3642104339 |
This book constitutes the refereed proceedings of the 8th International Conference on Cryptology and Network Security, CANS 2009, held in Kanazawa, Japan, in December 2009. The 32 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 109 submissions. The papers are organized in topical sections on cryptographic protocols and schemes; cryptanalysis; wireless and sensor security; network security; privacy and anonymity; functional and searchable encryption; authentication; block cipher design; and algebraic and number-theoretic schemes.
Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1
Title | Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 1 PDF eBook |
Author | Raf Cluckers |
Publisher | Cambridge University Press |
Pages | 347 |
Release | 2011-09-22 |
Genre | Mathematics |
ISBN | 1139499793 |
Assembles different theories of motivic integration for the first time, providing all of the necessary background for graduate students and researchers from algebraic geometry, model theory and number theory. In a rapidly-evolving area of research, this volume and Volume 2, which unite the several viewpoints and applications, will prove invaluable.