Interactions Between Group Theory Symmetry And Cryptology
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Interactions Between Group Theory Symmetry And Cryptology
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Author : María Isabel González Vasco
language : en
Publisher: MDPI
Release Date : 2020-04-22
Interactions Between Group Theory Symmetry And Cryptology written by María Isabel González Vasco and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Mathematics categories.
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.
Interactions Between Group Theory Symmetry And Cryptology
DOWNLOAD
Author : María Isabel González Vasco
language : en
Publisher:
Release Date : 2020
Interactions Between Group Theory Symmetry And Cryptology written by María Isabel González Vasco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
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.
Non Commutative Cryptography And Complexity Of Group Theoretic Problems
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Author : Alexei G. Myasnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Non Commutative Cryptography And Complexity Of Group Theoretic Problems written by Alexei G. Myasnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
Examines the relationship between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups can be used in public key cryptography. It also shows that there is remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory.
Geometric Methods In Signal And Image Analysis
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Author : Hamid Krim
language : en
Publisher: Cambridge University Press
Release Date : 2015-06-18
Geometric Methods In Signal And Image Analysis written by Hamid Krim and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-18 with Computers categories.
A comprehensive guide to modern geometric methods for signal and image analysis, from basic principles to state-of-the-art concepts and applications.
Abstract Algebra Group Theory
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Abstract Algebra Group Theory written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Aspects Of Infinite Groups
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Author : Benjamin Fine
language : en
Publisher: World Scientific
Release Date : 2008
Aspects Of Infinite Groups written by Benjamin Fine and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book is a festschrift in honor of Professor Anthony Gaglione''s sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory.
Theory Of Quantum Computation Communication And Cryptography
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Author : Kazuo Iwama
language : en
Publisher: Springer
Release Date : 2013-01-05
Theory Of Quantum Computation Communication And Cryptography written by Kazuo Iwama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-05 with Computers categories.
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.
Group Theory Statistics And Cryptography
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Author : Vladimir Shpilrain
language : en
Publisher: American Mathematical Soc.
Release Date : 2004-10-14
Group Theory Statistics And Cryptography written by Vladimir Shpilrain and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-14 with Cryptography categories.
This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York University. Readers will find a variety of contributions, including survey papers on applications of group theory in cryptography, research papers on various aspects of statistical group theory, and papers on more traditional combinatorial group theory. The book is suitable for graduate students and research mathematicians interested in group theory and its applications to cryptography.
Cryptology And Network Security
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Author : Juan A. Garay
language : en
Publisher: Springer
Release Date : 2009-11-23
Cryptology And Network Security written by Juan A. Garay and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-23 with Computers categories.
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
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Author : Raf Cluckers
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22
Motivic Integration And Its Interactions With Model Theory And Non Archimedean Geometry Volume 1 written by Raf Cluckers and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.
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.