Non Commutative Cryptography And Complexity Of Group Theoretic Problems
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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.
Non Commutative Cryptography And Complexity Of Group Theoretic Problems
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Author : Sandy Weedman
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2014-10-30
Non Commutative Cryptography And Complexity Of Group Theoretic Problems written by Sandy Weedman and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-30 with categories.
This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, 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, and they open many interesting research avenues within group theory. In particular, a lot of emphasis in the book is put on studying search problems, as compared to decision problems traditionally studied in combinatorial group theory.
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 :
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 with Mathematics categories.
Algorithmic Problems Of Group Theory Their Complexity And Applications To Cryptography
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Author : Delaram Kahrobaei
language : en
Publisher:
Release Date : 2015
Algorithmic Problems Of Group Theory Their Complexity And Applications To 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 2015 with Algebra categories.
Group Based Cryptography
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Author : Alexei Myasnikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-04
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 2008-11-04 with Mathematics categories.
Covering relations between three different areas of mathematics and theoretical computer science, this book explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography.
Group Theoretic Cryptography
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Author : Maria Isabel Gonzalez Vasco
language : en
Publisher: CRC Press
Release Date : 2015-04-01
Group Theoretic Cryptography written by Maria Isabel Gonzalez Vasco and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-01 with Computers categories.
Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructions. This reference focuses on the specifics of using groups, including in particular non-Abelian groups, in the field of cryptography. It provides an introduction to cryptography with emphasis on the group theoretic perspective, making it one of the first books to use this approach. The authors provide the needed cryptographic and group theoretic concepts, full proofs of essential theorems, and formal security evaluations of the cryptographic schemes presented. They also provide references for further reading and exercises at the end of each chapter.
Complexity And Randomness In Group Theory
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Author : Frédérique Bassino
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-06-08
Complexity And Randomness In Group Theory written by Frédérique Bassino 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 2020-06-08 with Mathematics categories.
This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.
Computational And Combinatorial Group Theory And Cryptography
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Author : Benjamin Fine
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Computational And Combinatorial Group Theory And Cryptography written by Benjamin Fine 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 2012 with Computers categories.
This volume contains the proceedings of the AMS Special Session on Computational Algebra, Groups, and Applications, held April 30-May 1, 2011, at the University of Nevada, Las Vegas, Nevada, and the AMS Special Session on the Mathematical Aspects of Cryptography and Cyber Security, held September 10-11, 2011, at Cornell University, Ithaca, New York. Over the past twenty years combinatorial and infinite group theory has been energized by three developments: the emergence of geometric and asymptotic group theory, the development of algebraic geometry over groups leading to the solution of the Tarski problems, and the development of group-based cryptography. These three areas in turn have had an impact on computational algebra and complexity theory. The papers in this volume, both survey and research, exhibit the tremendous vitality that is at the heart of group theory in the beginning of the twenty-first century as well as the diversity of interests in the field.
The Compressed Word Problem For Groups
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Author : Markus Lohrey
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-04
The Compressed Word Problem For Groups written by Markus Lohrey 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 2014-04-04 with Mathematics categories.
The Compressed Word Problem for Groups provides a detailed exposition of known results on the compressed word problem, emphasizing efficient algorithms for the compressed word problem in various groups. The author presents the necessary background along with the most recent results on the compressed word problem to create a cohesive self-contained book accessible to computer scientists as well as mathematicians. Readers will quickly reach the frontier of current research which makes the book especially appealing for students looking for a currently active research topic at the intersection of group theory and computer science. The word problem introduced in 1910 by Max Dehn is one of the most important decision problems in group theory. For many groups, highly efficient algorithms for the word problem exist. In recent years, a new technique based on data compression for providing more efficient algorithms for word problems, has been developed, by representing long words over group generators in a compressed form using a straight-line program. Algorithmic techniques used for manipulating compressed words has shown that the compressed word problem can be solved in polynomial time for a large class of groups such as free groups, graph groups and nilpotent groups. These results have important implications for algorithmic questions related to automorphism groups.
Computational Methods And Mathematical Modeling In Cyberphysics And Engineering Applications 1
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Author : Dmitri Koroliouk
language : en
Publisher: John Wiley & Sons
Release Date : 2024-04-16
Computational Methods And Mathematical Modeling In Cyberphysics And Engineering Applications 1 written by Dmitri Koroliouk and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-16 with Science categories.
Mathematical methods in engineering are characterized by a wide range of techniques for approaching various problems. Moreover, completely different analysis techniques can be applied to the same problem, which is justified by the difference in specific applications. Therefore, the study of the analyses and solutions of specific problems leads the researcher to generate their own techniques for the analysis of similar problems continuously arising in the process of technical development. Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications contains solutions to specific problems in current areas of computational engineering and cyberphysics.