Algorithmic Problems Of Group Theory Their Complexity And Applications To Cryptography
DOWNLOAD
Download Algorithmic Problems Of Group Theory Their Complexity And Applications To Cryptography PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Algorithmic Problems Of Group Theory Their Complexity And Applications To Cryptography book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Algorithmic Problems Of Group Theory Their Complexity And Applications To Cryptography
DOWNLOAD
Author : Delaram Kahrobaei
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-02-25
Algorithmic Problems Of Group Theory Their Complexity And Applications To Cryptography written by Delaram Kahrobaei 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 2015-02-25 with Mathematics categories.
This volume contains the proceedings of the AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, held January 9-10, 2013 in San Diego, CA and the AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, held April 6-7, 2013 at Boston College, Chestnut Hill, MA. Over the past few years the field of group-based cryptography has attracted attention from both group theorists and cryptographers. The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.
Group Based Cryptography
DOWNLOAD
Author : Alexei Myasnikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-17
Group Based Cryptography written by Alexei Myasnikov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-17 with Language Arts & Disciplines categories.
This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It is also shown that there is a remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory, and they open many interesting research avenues within group theory. Then, complexity theory, notably generic-case complexity of algorithms, is employed for cryptanalysis of various cryptographic protocols based on infinite groups, and the ideas and machinery from the theory of generic-case complexity are used to study asymptotically dominant properties of some infinite groups that have been applied in public key cryptography so far. Its elementary exposition makes the book accessible to graduate as well as undergraduate students in mathematics or computer science.
Applications Of Group Theory In Cryptography
DOWNLOAD
Author : Delaram Kahrobaei
language : en
Publisher:
Release Date : 2024
Applications Of Group Theory In Cryptography written by Delaram Kahrobaei and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Business & Economics categories.
Group Theory Statistics And Cyptography
DOWNLOAD
Author : Alexei G. Myasnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Group Theory Statistics And Cyptography 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 2004 with Mathematics 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.
Non Commutative Cryptography And Complexity Of Group Theoretic Problems
DOWNLOAD
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.
Interactions Between Group Theory Symmetry And Cryptology
DOWNLOAD
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.
Analysis Complex Geometry And Mathematical Physics
DOWNLOAD
Author : Paul M. N. Feehan
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-07-21
Analysis Complex Geometry And Mathematical Physics written by Paul M. N. Feehan 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 2015-07-21 with Geometry, Differential categories.
This volume contains the proceedings of the Conference on Analysis, Complex Geometry and Mathematical Physics: In Honor of Duong H. Phong, which was held from May 7-11, 2013, at Columbia University, New York. The conference featured thirty speakers who spoke on a range of topics reflecting the breadth and depth of the research interests of Duong H. Phong on the occasion of his sixtieth birthday. A common thread, familiar from Phong's own work, was the focus on the interplay between the deep tools of analysis and the rich structures of geometry and physics. Papers included in this volume cover topics such as the complex Monge-Ampère equation, pluripotential theory, geometric partial differential equations, theories of integral operators, integrable systems and perturbative superstring theory.
Elementary Theory Of Groups And Group Rings And Related Topics
DOWNLOAD
Author : Paul Baginski
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-02-10
Elementary Theory Of Groups And Group Rings And Related Topics written by Paul Baginski and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-10 with Mathematics categories.
This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.
Algorithmic Arithmetic Geometry And Coding Theory
DOWNLOAD
Author : Stéphane Ballet
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-04-20
Algorithmic Arithmetic Geometry And Coding Theory written by Stéphane Ballet 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 2015-04-20 with Coding theory categories.
This volume contains the proceedings of the 14th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held June 3-7, 2013, at CIRM, Marseille, France. These international conferences, held every two years, have been a major event in the area of algorithmic and applied arithmetic geometry for more than 20 years. This volume contains 13 original research articles covering geometric error correcting codes, and algorithmic and explicit arithmetic geometry of curves and higher dimensional varieties. Tools used in these articles include classical algebraic geometry of curves, varieties and Jacobians, Suslin homology, Monsky-Washnitzer cohomology, and -functions of modular forms.
Trends In Harmonic Analysis And Its Applications
DOWNLOAD
Author : Jens G. Christensen
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-10-27
Trends In Harmonic Analysis And Its Applications written by Jens G. Christensen 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 2015-10-27 with Harmonic analysis categories.
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Its Applications held March 29-30, 2014, at the University of Maryland, Baltimore County, Baltimore, MD. It provides an in depth look at the many directions taken by experts in Harmonic Analysis and related areas. The papers cover topics such as frame theory, Gabor analysis, interpolation and Besov spaces on compact manifolds, Cuntz-Krieger algebras, reproducing kernel spaces, solenoids, hypergeometric shift operators and analysis on infinite dimensional groups. Expositions are by leading researchers in the field, both young and established. The papers consist of new results or new approaches to solutions, and at the same time provide an introduction into the respective subjects.